This is an automated email from the ASF dual-hosted git repository.

erans pushed a commit to branch modularized_master
in repository https://gitbox.apache.org/repos/asf/commons-math.git

commit 9fca795acfb74a5954229743780a71a7c0b16c76
Author: Gilles Sadowski <gillese...@gmail.com>
AuthorDate: Wed May 19 15:28:59 2021 +0200

    Set up module for example applications.
    
    Moved "Chinese Rings" example into the new module.
---
 commons-math-examples/LICENCE                      | 457 +++++++++++++++++++++
 commons-math-examples/NOTICE                       |   9 +
 commons-math-examples/examples-sofm/LICENCE        | 457 +++++++++++++++++++++
 commons-math-examples/examples-sofm/NOTICE         |   9 +
 .../examples-sofm/chinese-rings/LICENCE            | 457 +++++++++++++++++++++
 .../examples-sofm/chinese-rings/NOTICE             |   9 +
 .../examples-sofm/chinese-rings/pom.xml            |  96 +++++
 .../examples/sofm/chineserings}/ChineseRings.java  |  41 +-
 .../sofm/chineserings/ChineseRingsClassifier.java  | 190 +++++++++
 .../examples/sofm/chineserings/StandAlone.java     | 118 ++++++
 commons-math-examples/examples-sofm/pom.xml        |  57 +++
 .../examples/neuralnet/sofm/tsp/StandAlone.java    |  41 ++
 commons-math-examples/pom.xml                      | 119 ++++++
 pom.xml                                            |  13 +-
 .../userguide/sofm/ChineseRingsClassifier.java     | 337 ---------------
 15 files changed, 2058 insertions(+), 352 deletions(-)

diff --git a/commons-math-examples/LICENCE b/commons-math-examples/LICENCE
new file mode 100644
index 0000000..d97b49a
--- /dev/null
+++ b/commons-math-examples/LICENCE
@@ -0,0 +1,457 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
+
+Apache Commons Math includes the following code provided to the ASF under the
+Apache License 2.0:
+
+ - The inverse error function implementation in the Erf class is based on CUDA
+   code developed by Mike Giles, Oxford-Man Institute of Quantitative Finance,
+   and published in GPU Computing Gems, volume 2, 2010 (grant received on
+   March 23th 2013)
+ - The LinearConstraint, LinearObjectiveFunction, LinearOptimizer,
+   RelationShip, SimplexSolver and SimplexTableau classes in package
+   org.apache.commons.math3.optimization.linear include software developed by
+   Benjamin McCann (http://www.benmccann.com) and distributed with
+   the following copyright: Copyright 2009 Google Inc. (grant received on
+   March 16th 2009)
+ - The class "org.apache.commons.math3.exception.util.LocalizedFormatsTest" 
which
+   is an adapted version of "OrekitMessagesTest" test class for the Orekit 
library
+ - The "org.apache.commons.math3.analysis.interpolation.HermiteInterpolator"
+   has been imported from the Orekit space flight dynamics library.
+
+===============================================================================
+ 
+
+
+APACHE COMMONS MATH DERIVATIVE WORKS: 
+
+The Apache commons-math library includes a number of subcomponents
+whose implementation is derived from original sources written
+in C or Fortran.  License terms of the original sources
+are reproduced below.
+
+===============================================================================
+For the lmder, lmpar and qrsolv Fortran routine from minpack and translated in
+the LevenbergMarquardtOptimizer class in package
+org.apache.commons.math3.optimization.general 
+Original source copyright and license statement:
+
+Minpack Copyright Notice (1999) University of Chicago.  All rights reserved
+
+Redistribution and use in source and binary forms, with or
+without modification, are permitted provided that the
+following conditions are met:
+
+1. Redistributions of source code must retain the above
+copyright notice, this list of conditions and the following
+disclaimer.
+
+2. Redistributions in binary form must reproduce the above
+copyright notice, this list of conditions and the following
+disclaimer in the documentation and/or other materials
+provided with the distribution.
+
+3. The end-user documentation included with the
+redistribution, if any, must include the following
+acknowledgment:
+
+   "This product includes software developed by the
+   University of Chicago, as Operator of Argonne National
+   Laboratory.
+
+Alternately, this acknowledgment may appear in the software
+itself, if and wherever such third-party acknowledgments
+normally appear.
+
+4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
+WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
+UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
+THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
+OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
+OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
+USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF
+THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
+DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
+UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
+BE CORRECTED.
+
+5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
+HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
+ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
+INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
+ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
+PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
+SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
+(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
+EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
+POSSIBILITY OF SUCH LOSS OR DAMAGES.
+===============================================================================
+
+Copyright and license statement for the odex Fortran routine developed by
+E. Hairer and G. Wanner and translated in GraggBulirschStoerIntegrator class
+in package org.apache.commons.math3.ode.nonstiff:
+
+
+Copyright (c) 2004, Ernst Hairer
+
+Redistribution and use in source and binary forms, with or without 
+modification, are permitted provided that the following conditions are 
+met:
+
+- Redistributions of source code must retain the above copyright 
+notice, this list of conditions and the following disclaimer.
+
+- Redistributions in binary form must reproduce the above copyright 
+notice, this list of conditions and the following disclaimer in the 
+documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS 
+IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 
+TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A 
+PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR 
+CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 
+EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+Copyright and license statement for the original Mersenne twister C
+routines translated in MersenneTwister class in package 
+org.apache.commons.math3.random:
+
+   Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+   All rights reserved.                          
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+
+     1. Redistributions of source code must retain the above copyright
+        notice, this list of conditions and the following disclaimer.
+
+     2. Redistributions in binary form must reproduce the above copyright
+        notice, this list of conditions and the following disclaimer in the
+        documentation and/or other materials provided with the distribution.
+
+     3. The names of its contributors may not be used to endorse or promote 
+        products derived from this software without specific prior written 
+        permission.
+
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER 
OR
+   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+===============================================================================
+
+The initial code for shuffling an array (originally in class
+"org.apache.commons.math3.random.RandomDataGenerator", now replaced by
+a method in class "org.apache.commons.math3.util.MathArrays") was
+inspired from the algorithm description provided in
+"Algorithms", by Ian Craw and John Pulham (University of Aberdeen 1999).
+The textbook (containing a proof that the shuffle is uniformly random) is
+available here:
+  
http://citeseerx.ist.psu.edu/viewdoc/download;?doi=10.1.1.173.1898&rep=rep1&type=pdf
+
+===============================================================================
+License statement for the direction numbers in the resource files for Sobol 
sequences.
+
+-----------------------------------------------------------------------------
+Licence pertaining to sobol.cc and the accompanying sets of direction numbers
+
+-----------------------------------------------------------------------------
+Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the names of the copyright holders nor the names of the
+      University of New South Wales and the University of Waikato
+      and its contributors may be used to endorse or promote products derived
+      from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+The initial commit of package "org.apache.commons.math3.ml.neuralnet" is
+an adapted version of code developed in the context of the Data Processing
+and Analysis Consortium (DPAC) of the "Gaia" project of the European Space
+Agency (ESA).
+===============================================================================
+
+The initial commit of the class "org.apache.commons.math3.special.BesselJ" is
+an adapted version of code translated from the netlib Fortran program, rjbesl
+http://www.netlib.org/specfun/rjbesl by R.J. Cody at Argonne National
+Laboratory (USA).  There is no license or copyright statement included with the
+original Fortran sources.
+===============================================================================
+
+
+The BracketFinder (package org.apache.commons.math3.optimization.univariate)
+and PowellOptimizer (package org.apache.commons.math3.optimization.general)
+classes are based on the Python code in module "optimize.py" (version 0.5)
+developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/)
+Copyright © 2003-2009 SciPy Developers.
+
+SciPy license
+Copyright © 2001, 2002 Enthought, Inc.
+All rights reserved.
+
+Copyright © 2003-2013 SciPy Developers.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the name of Enthought nor the names of the SciPy Developers may
+      be used to endorse or promote products derived from this software without
+      specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” 
AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
diff --git a/commons-math-examples/NOTICE b/commons-math-examples/NOTICE
new file mode 100644
index 0000000..587cd7f
--- /dev/null
+++ b/commons-math-examples/NOTICE
@@ -0,0 +1,9 @@
+Apache Commons Math
+Copyright 2001-2020 The Apache Software Foundation
+
+This product includes software developed at
+The Apache Software Foundation (http://www.apache.org/).
+
+This product includes software developed for Orekit by
+CS Systèmes d'Information (http://www.c-s.fr/)
+Copyright 2010-2012 CS Systèmes d'Information
diff --git a/commons-math-examples/examples-sofm/LICENCE 
b/commons-math-examples/examples-sofm/LICENCE
new file mode 100644
index 0000000..d97b49a
--- /dev/null
+++ b/commons-math-examples/examples-sofm/LICENCE
@@ -0,0 +1,457 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
+
+Apache Commons Math includes the following code provided to the ASF under the
+Apache License 2.0:
+
+ - The inverse error function implementation in the Erf class is based on CUDA
+   code developed by Mike Giles, Oxford-Man Institute of Quantitative Finance,
+   and published in GPU Computing Gems, volume 2, 2010 (grant received on
+   March 23th 2013)
+ - The LinearConstraint, LinearObjectiveFunction, LinearOptimizer,
+   RelationShip, SimplexSolver and SimplexTableau classes in package
+   org.apache.commons.math3.optimization.linear include software developed by
+   Benjamin McCann (http://www.benmccann.com) and distributed with
+   the following copyright: Copyright 2009 Google Inc. (grant received on
+   March 16th 2009)
+ - The class "org.apache.commons.math3.exception.util.LocalizedFormatsTest" 
which
+   is an adapted version of "OrekitMessagesTest" test class for the Orekit 
library
+ - The "org.apache.commons.math3.analysis.interpolation.HermiteInterpolator"
+   has been imported from the Orekit space flight dynamics library.
+
+===============================================================================
+ 
+
+
+APACHE COMMONS MATH DERIVATIVE WORKS: 
+
+The Apache commons-math library includes a number of subcomponents
+whose implementation is derived from original sources written
+in C or Fortran.  License terms of the original sources
+are reproduced below.
+
+===============================================================================
+For the lmder, lmpar and qrsolv Fortran routine from minpack and translated in
+the LevenbergMarquardtOptimizer class in package
+org.apache.commons.math3.optimization.general 
+Original source copyright and license statement:
+
+Minpack Copyright Notice (1999) University of Chicago.  All rights reserved
+
+Redistribution and use in source and binary forms, with or
+without modification, are permitted provided that the
+following conditions are met:
+
+1. Redistributions of source code must retain the above
+copyright notice, this list of conditions and the following
+disclaimer.
+
+2. Redistributions in binary form must reproduce the above
+copyright notice, this list of conditions and the following
+disclaimer in the documentation and/or other materials
+provided with the distribution.
+
+3. The end-user documentation included with the
+redistribution, if any, must include the following
+acknowledgment:
+
+   "This product includes software developed by the
+   University of Chicago, as Operator of Argonne National
+   Laboratory.
+
+Alternately, this acknowledgment may appear in the software
+itself, if and wherever such third-party acknowledgments
+normally appear.
+
+4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
+WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
+UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
+THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
+OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
+OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
+USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF
+THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
+DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
+UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
+BE CORRECTED.
+
+5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
+HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
+ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
+INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
+ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
+PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
+SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
+(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
+EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
+POSSIBILITY OF SUCH LOSS OR DAMAGES.
+===============================================================================
+
+Copyright and license statement for the odex Fortran routine developed by
+E. Hairer and G. Wanner and translated in GraggBulirschStoerIntegrator class
+in package org.apache.commons.math3.ode.nonstiff:
+
+
+Copyright (c) 2004, Ernst Hairer
+
+Redistribution and use in source and binary forms, with or without 
+modification, are permitted provided that the following conditions are 
+met:
+
+- Redistributions of source code must retain the above copyright 
+notice, this list of conditions and the following disclaimer.
+
+- Redistributions in binary form must reproduce the above copyright 
+notice, this list of conditions and the following disclaimer in the 
+documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS 
+IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 
+TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A 
+PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR 
+CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 
+EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+Copyright and license statement for the original Mersenne twister C
+routines translated in MersenneTwister class in package 
+org.apache.commons.math3.random:
+
+   Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+   All rights reserved.                          
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+
+     1. Redistributions of source code must retain the above copyright
+        notice, this list of conditions and the following disclaimer.
+
+     2. Redistributions in binary form must reproduce the above copyright
+        notice, this list of conditions and the following disclaimer in the
+        documentation and/or other materials provided with the distribution.
+
+     3. The names of its contributors may not be used to endorse or promote 
+        products derived from this software without specific prior written 
+        permission.
+
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER 
OR
+   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+===============================================================================
+
+The initial code for shuffling an array (originally in class
+"org.apache.commons.math3.random.RandomDataGenerator", now replaced by
+a method in class "org.apache.commons.math3.util.MathArrays") was
+inspired from the algorithm description provided in
+"Algorithms", by Ian Craw and John Pulham (University of Aberdeen 1999).
+The textbook (containing a proof that the shuffle is uniformly random) is
+available here:
+  
http://citeseerx.ist.psu.edu/viewdoc/download;?doi=10.1.1.173.1898&rep=rep1&type=pdf
+
+===============================================================================
+License statement for the direction numbers in the resource files for Sobol 
sequences.
+
+-----------------------------------------------------------------------------
+Licence pertaining to sobol.cc and the accompanying sets of direction numbers
+
+-----------------------------------------------------------------------------
+Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the names of the copyright holders nor the names of the
+      University of New South Wales and the University of Waikato
+      and its contributors may be used to endorse or promote products derived
+      from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+The initial commit of package "org.apache.commons.math3.ml.neuralnet" is
+an adapted version of code developed in the context of the Data Processing
+and Analysis Consortium (DPAC) of the "Gaia" project of the European Space
+Agency (ESA).
+===============================================================================
+
+The initial commit of the class "org.apache.commons.math3.special.BesselJ" is
+an adapted version of code translated from the netlib Fortran program, rjbesl
+http://www.netlib.org/specfun/rjbesl by R.J. Cody at Argonne National
+Laboratory (USA).  There is no license or copyright statement included with the
+original Fortran sources.
+===============================================================================
+
+
+The BracketFinder (package org.apache.commons.math3.optimization.univariate)
+and PowellOptimizer (package org.apache.commons.math3.optimization.general)
+classes are based on the Python code in module "optimize.py" (version 0.5)
+developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/)
+Copyright © 2003-2009 SciPy Developers.
+
+SciPy license
+Copyright © 2001, 2002 Enthought, Inc.
+All rights reserved.
+
+Copyright © 2003-2013 SciPy Developers.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the name of Enthought nor the names of the SciPy Developers may
+      be used to endorse or promote products derived from this software without
+      specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” 
AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
diff --git a/commons-math-examples/examples-sofm/NOTICE 
b/commons-math-examples/examples-sofm/NOTICE
new file mode 100644
index 0000000..587cd7f
--- /dev/null
+++ b/commons-math-examples/examples-sofm/NOTICE
@@ -0,0 +1,9 @@
+Apache Commons Math
+Copyright 2001-2020 The Apache Software Foundation
+
+This product includes software developed at
+The Apache Software Foundation (http://www.apache.org/).
+
+This product includes software developed for Orekit by
+CS Systèmes d'Information (http://www.c-s.fr/)
+Copyright 2010-2012 CS Systèmes d'Information
diff --git a/commons-math-examples/examples-sofm/chinese-rings/LICENCE 
b/commons-math-examples/examples-sofm/chinese-rings/LICENCE
new file mode 100644
index 0000000..d97b49a
--- /dev/null
+++ b/commons-math-examples/examples-sofm/chinese-rings/LICENCE
@@ -0,0 +1,457 @@
+                                 Apache License
+                           Version 2.0, January 2004
+                        http://www.apache.org/licenses/
+
+   TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+   1. Definitions.
+
+      "License" shall mean the terms and conditions for use, reproduction,
+      and distribution as defined by Sections 1 through 9 of this document.
+
+      "Licensor" shall mean the copyright owner or entity authorized by
+      the copyright owner that is granting the License.
+
+      "Legal Entity" shall mean the union of the acting entity and all
+      other entities that control, are controlled by, or are under common
+      control with that entity. For the purposes of this definition,
+      "control" means (i) the power, direct or indirect, to cause the
+      direction or management of such entity, whether by contract or
+      otherwise, or (ii) ownership of fifty percent (50%) or more of the
+      outstanding shares, or (iii) beneficial ownership of such entity.
+
+      "You" (or "Your") shall mean an individual or Legal Entity
+      exercising permissions granted by this License.
+
+      "Source" form shall mean the preferred form for making modifications,
+      including but not limited to software source code, documentation
+      source, and configuration files.
+
+      "Object" form shall mean any form resulting from mechanical
+      transformation or translation of a Source form, including but
+      not limited to compiled object code, generated documentation,
+      and conversions to other media types.
+
+      "Work" shall mean the work of authorship, whether in Source or
+      Object form, made available under the License, as indicated by a
+      copyright notice that is included in or attached to the work
+      (an example is provided in the Appendix below).
+
+      "Derivative Works" shall mean any work, whether in Source or Object
+      form, that is based on (or derived from) the Work and for which the
+      editorial revisions, annotations, elaborations, or other modifications
+      represent, as a whole, an original work of authorship. For the purposes
+      of this License, Derivative Works shall not include works that remain
+      separable from, or merely link (or bind by name) to the interfaces of,
+      the Work and Derivative Works thereof.
+
+      "Contribution" shall mean any work of authorship, including
+      the original version of the Work and any modifications or additions
+      to that Work or Derivative Works thereof, that is intentionally
+      submitted to Licensor for inclusion in the Work by the copyright owner
+      or by an individual or Legal Entity authorized to submit on behalf of
+      the copyright owner. For the purposes of this definition, "submitted"
+      means any form of electronic, verbal, or written communication sent
+      to the Licensor or its representatives, including but not limited to
+      communication on electronic mailing lists, source code control systems,
+      and issue tracking systems that are managed by, or on behalf of, the
+      Licensor for the purpose of discussing and improving the Work, but
+      excluding communication that is conspicuously marked or otherwise
+      designated in writing by the copyright owner as "Not a Contribution."
+
+      "Contributor" shall mean Licensor and any individual or Legal Entity
+      on behalf of whom a Contribution has been received by Licensor and
+      subsequently incorporated within the Work.
+
+   2. Grant of Copyright License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      copyright license to reproduce, prepare Derivative Works of,
+      publicly display, publicly perform, sublicense, and distribute the
+      Work and such Derivative Works in Source or Object form.
+
+   3. Grant of Patent License. Subject to the terms and conditions of
+      this License, each Contributor hereby grants to You a perpetual,
+      worldwide, non-exclusive, no-charge, royalty-free, irrevocable
+      (except as stated in this section) patent license to make, have made,
+      use, offer to sell, sell, import, and otherwise transfer the Work,
+      where such license applies only to those patent claims licensable
+      by such Contributor that are necessarily infringed by their
+      Contribution(s) alone or by combination of their Contribution(s)
+      with the Work to which such Contribution(s) was submitted. If You
+      institute patent litigation against any entity (including a
+      cross-claim or counterclaim in a lawsuit) alleging that the Work
+      or a Contribution incorporated within the Work constitutes direct
+      or contributory patent infringement, then any patent licenses
+      granted to You under this License for that Work shall terminate
+      as of the date such litigation is filed.
+
+   4. Redistribution. You may reproduce and distribute copies of the
+      Work or Derivative Works thereof in any medium, with or without
+      modifications, and in Source or Object form, provided that You
+      meet the following conditions:
+
+      (a) You must give any other recipients of the Work or
+          Derivative Works a copy of this License; and
+
+      (b) You must cause any modified files to carry prominent notices
+          stating that You changed the files; and
+
+      (c) You must retain, in the Source form of any Derivative Works
+          that You distribute, all copyright, patent, trademark, and
+          attribution notices from the Source form of the Work,
+          excluding those notices that do not pertain to any part of
+          the Derivative Works; and
+
+      (d) If the Work includes a "NOTICE" text file as part of its
+          distribution, then any Derivative Works that You distribute must
+          include a readable copy of the attribution notices contained
+          within such NOTICE file, excluding those notices that do not
+          pertain to any part of the Derivative Works, in at least one
+          of the following places: within a NOTICE text file distributed
+          as part of the Derivative Works; within the Source form or
+          documentation, if provided along with the Derivative Works; or,
+          within a display generated by the Derivative Works, if and
+          wherever such third-party notices normally appear. The contents
+          of the NOTICE file are for informational purposes only and
+          do not modify the License. You may add Your own attribution
+          notices within Derivative Works that You distribute, alongside
+          or as an addendum to the NOTICE text from the Work, provided
+          that such additional attribution notices cannot be construed
+          as modifying the License.
+
+      You may add Your own copyright statement to Your modifications and
+      may provide additional or different license terms and conditions
+      for use, reproduction, or distribution of Your modifications, or
+      for any such Derivative Works as a whole, provided Your use,
+      reproduction, and distribution of the Work otherwise complies with
+      the conditions stated in this License.
+
+   5. Submission of Contributions. Unless You explicitly state otherwise,
+      any Contribution intentionally submitted for inclusion in the Work
+      by You to the Licensor shall be under the terms and conditions of
+      this License, without any additional terms or conditions.
+      Notwithstanding the above, nothing herein shall supersede or modify
+      the terms of any separate license agreement you may have executed
+      with Licensor regarding such Contributions.
+
+   6. Trademarks. This License does not grant permission to use the trade
+      names, trademarks, service marks, or product names of the Licensor,
+      except as required for reasonable and customary use in describing the
+      origin of the Work and reproducing the content of the NOTICE file.
+
+   7. Disclaimer of Warranty. Unless required by applicable law or
+      agreed to in writing, Licensor provides the Work (and each
+      Contributor provides its Contributions) on an "AS IS" BASIS,
+      WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
+      implied, including, without limitation, any warranties or conditions
+      of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
+      PARTICULAR PURPOSE. You are solely responsible for determining the
+      appropriateness of using or redistributing the Work and assume any
+      risks associated with Your exercise of permissions under this License.
+
+   8. Limitation of Liability. In no event and under no legal theory,
+      whether in tort (including negligence), contract, or otherwise,
+      unless required by applicable law (such as deliberate and grossly
+      negligent acts) or agreed to in writing, shall any Contributor be
+      liable to You for damages, including any direct, indirect, special,
+      incidental, or consequential damages of any character arising as a
+      result of this License or out of the use or inability to use the
+      Work (including but not limited to damages for loss of goodwill,
+      work stoppage, computer failure or malfunction, or any and all
+      other commercial damages or losses), even if such Contributor
+      has been advised of the possibility of such damages.
+
+   9. Accepting Warranty or Additional Liability. While redistributing
+      the Work or Derivative Works thereof, You may choose to offer,
+      and charge a fee for, acceptance of support, warranty, indemnity,
+      or other liability obligations and/or rights consistent with this
+      License. However, in accepting such obligations, You may act only
+      on Your own behalf and on Your sole responsibility, not on behalf
+      of any other Contributor, and only if You agree to indemnify,
+      defend, and hold each Contributor harmless for any liability
+      incurred by, or claims asserted against, such Contributor by reason
+      of your accepting any such warranty or additional liability.
+
+   END OF TERMS AND CONDITIONS
+
+   APPENDIX: How to apply the Apache License to your work.
+
+      To apply the Apache License to your work, attach the following
+      boilerplate notice, with the fields enclosed by brackets "[]"
+      replaced with your own identifying information. (Don't include
+      the brackets!)  The text should be enclosed in the appropriate
+      comment syntax for the file format. We also recommend that a
+      file or class name and description of purpose be included on the
+      same "printed page" as the copyright notice for easier
+      identification within third-party archives.
+
+   Copyright [yyyy] [name of copyright owner]
+
+   Licensed under the Apache License, Version 2.0 (the "License");
+   you may not use this file except in compliance with the License.
+   You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+
+
+Apache Commons Math includes the following code provided to the ASF under the
+Apache License 2.0:
+
+ - The inverse error function implementation in the Erf class is based on CUDA
+   code developed by Mike Giles, Oxford-Man Institute of Quantitative Finance,
+   and published in GPU Computing Gems, volume 2, 2010 (grant received on
+   March 23th 2013)
+ - The LinearConstraint, LinearObjectiveFunction, LinearOptimizer,
+   RelationShip, SimplexSolver and SimplexTableau classes in package
+   org.apache.commons.math3.optimization.linear include software developed by
+   Benjamin McCann (http://www.benmccann.com) and distributed with
+   the following copyright: Copyright 2009 Google Inc. (grant received on
+   March 16th 2009)
+ - The class "org.apache.commons.math3.exception.util.LocalizedFormatsTest" 
which
+   is an adapted version of "OrekitMessagesTest" test class for the Orekit 
library
+ - The "org.apache.commons.math3.analysis.interpolation.HermiteInterpolator"
+   has been imported from the Orekit space flight dynamics library.
+
+===============================================================================
+ 
+
+
+APACHE COMMONS MATH DERIVATIVE WORKS: 
+
+The Apache commons-math library includes a number of subcomponents
+whose implementation is derived from original sources written
+in C or Fortran.  License terms of the original sources
+are reproduced below.
+
+===============================================================================
+For the lmder, lmpar and qrsolv Fortran routine from minpack and translated in
+the LevenbergMarquardtOptimizer class in package
+org.apache.commons.math3.optimization.general 
+Original source copyright and license statement:
+
+Minpack Copyright Notice (1999) University of Chicago.  All rights reserved
+
+Redistribution and use in source and binary forms, with or
+without modification, are permitted provided that the
+following conditions are met:
+
+1. Redistributions of source code must retain the above
+copyright notice, this list of conditions and the following
+disclaimer.
+
+2. Redistributions in binary form must reproduce the above
+copyright notice, this list of conditions and the following
+disclaimer in the documentation and/or other materials
+provided with the distribution.
+
+3. The end-user documentation included with the
+redistribution, if any, must include the following
+acknowledgment:
+
+   "This product includes software developed by the
+   University of Chicago, as Operator of Argonne National
+   Laboratory.
+
+Alternately, this acknowledgment may appear in the software
+itself, if and wherever such third-party acknowledgments
+normally appear.
+
+4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
+WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE
+UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
+THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES
+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE
+OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY
+OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR
+USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF
+THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4)
+DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION
+UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL
+BE CORRECTED.
+
+5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT
+HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF
+ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT,
+INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF
+ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF
+PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER
+SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT
+(INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE,
+EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
+POSSIBILITY OF SUCH LOSS OR DAMAGES.
+===============================================================================
+
+Copyright and license statement for the odex Fortran routine developed by
+E. Hairer and G. Wanner and translated in GraggBulirschStoerIntegrator class
+in package org.apache.commons.math3.ode.nonstiff:
+
+
+Copyright (c) 2004, Ernst Hairer
+
+Redistribution and use in source and binary forms, with or without 
+modification, are permitted provided that the following conditions are 
+met:
+
+- Redistributions of source code must retain the above copyright 
+notice, this list of conditions and the following disclaimer.
+
+- Redistributions in binary form must reproduce the above copyright 
+notice, this list of conditions and the following disclaimer in the 
+documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS 
+IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED 
+TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A 
+PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR 
+CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, 
+EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, 
+PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR 
+PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF 
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING 
+NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS 
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+Copyright and license statement for the original Mersenne twister C
+routines translated in MersenneTwister class in package 
+org.apache.commons.math3.random:
+
+   Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
+   All rights reserved.                          
+
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions
+   are met:
+
+     1. Redistributions of source code must retain the above copyright
+        notice, this list of conditions and the following disclaimer.
+
+     2. Redistributions in binary form must reproduce the above copyright
+        notice, this list of conditions and the following disclaimer in the
+        documentation and/or other materials provided with the distribution.
+
+     3. The names of its contributors may not be used to endorse or promote 
+        products derived from this software without specific prior written 
+        permission.
+
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+   "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+   LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
+   A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER 
OR
+   CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+   EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+   PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+   PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+   LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+   NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+   SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+===============================================================================
+
+The initial code for shuffling an array (originally in class
+"org.apache.commons.math3.random.RandomDataGenerator", now replaced by
+a method in class "org.apache.commons.math3.util.MathArrays") was
+inspired from the algorithm description provided in
+"Algorithms", by Ian Craw and John Pulham (University of Aberdeen 1999).
+The textbook (containing a proof that the shuffle is uniformly random) is
+available here:
+  
http://citeseerx.ist.psu.edu/viewdoc/download;?doi=10.1.1.173.1898&rep=rep1&type=pdf
+
+===============================================================================
+License statement for the direction numbers in the resource files for Sobol 
sequences.
+
+-----------------------------------------------------------------------------
+Licence pertaining to sobol.cc and the accompanying sets of direction numbers
+
+-----------------------------------------------------------------------------
+Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the names of the copyright holders nor the names of the
+      University of New South Wales and the University of Waikato
+      and its contributors may be used to endorse or promote products derived
+      from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
+The initial commit of package "org.apache.commons.math3.ml.neuralnet" is
+an adapted version of code developed in the context of the Data Processing
+and Analysis Consortium (DPAC) of the "Gaia" project of the European Space
+Agency (ESA).
+===============================================================================
+
+The initial commit of the class "org.apache.commons.math3.special.BesselJ" is
+an adapted version of code translated from the netlib Fortran program, rjbesl
+http://www.netlib.org/specfun/rjbesl by R.J. Cody at Argonne National
+Laboratory (USA).  There is no license or copyright statement included with the
+original Fortran sources.
+===============================================================================
+
+
+The BracketFinder (package org.apache.commons.math3.optimization.univariate)
+and PowellOptimizer (package org.apache.commons.math3.optimization.general)
+classes are based on the Python code in module "optimize.py" (version 0.5)
+developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/)
+Copyright © 2003-2009 SciPy Developers.
+
+SciPy license
+Copyright © 2001, 2002 Enthought, Inc.
+All rights reserved.
+
+Copyright © 2003-2013 SciPy Developers.
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+    * Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+    * Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in the
+      documentation and/or other materials provided with the distribution.
+
+    * Neither the name of Enthought nor the names of the SciPy Developers may
+      be used to endorse or promote products derived from this software without
+      specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” 
AND ANY
+EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
+DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
+ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+===============================================================================
+
diff --git a/commons-math-examples/examples-sofm/chinese-rings/NOTICE 
b/commons-math-examples/examples-sofm/chinese-rings/NOTICE
new file mode 100644
index 0000000..587cd7f
--- /dev/null
+++ b/commons-math-examples/examples-sofm/chinese-rings/NOTICE
@@ -0,0 +1,9 @@
+Apache Commons Math
+Copyright 2001-2020 The Apache Software Foundation
+
+This product includes software developed at
+The Apache Software Foundation (http://www.apache.org/).
+
+This product includes software developed for Orekit by
+CS Systèmes d'Information (http://www.c-s.fr/)
+Copyright 2010-2012 CS Systèmes d'Information
diff --git a/commons-math-examples/examples-sofm/chinese-rings/pom.xml 
b/commons-math-examples/examples-sofm/chinese-rings/pom.xml
new file mode 100644
index 0000000..86b170f
--- /dev/null
+++ b/commons-math-examples/examples-sofm/chinese-rings/pom.xml
@@ -0,0 +1,96 @@
+<?xml version="1.0"?>
+<!--
+   Licensed to the Apache Software Foundation (ASF) under one or more
+   contributor license agreements.  See the NOTICE file distributed with
+   this work for additional information regarding copyright ownership.
+   The ASF licenses this file to You under the Apache License, Version 2.0
+   (the "License"); you may not use this file except in compliance with
+   the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+-->
+<project xmlns="http://maven.apache.org/POM/4.0.0"; 
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"; 
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 
http://maven.apache.org/xsd/maven-4.0.0.xsd";>
+  <modelVersion>4.0.0</modelVersion>
+
+  <parent>
+    <groupId>org.apache.commons</groupId>
+    <artifactId>examples-sofm</artifactId>
+    <version>4.0-SNAPSHOT</version>
+  </parent>
+
+  <artifactId>examples-sofm-chinese-rings</artifactId>
+  <version>4.0-SNAPSHOT</version>
+  <!-- This name is used in the shaded jar to provide the application title 
for the version information. -->
+  <name>Chinese Rings</name>
+
+  <description>SOFM used for classification.</description>
+
+  <properties>
+    <maven.compiler.source>1.8</maven.compiler.source>
+    <maven.compiler.target>1.8</maven.compiler.target>
+
+    <!-- OSGi -->
+    
<commons.osgi.symbolicName>org.apache.commons.math4.examples.sofm.chineserings</commons.osgi.symbolicName>
+    
<commons.osgi.export>org.apache.commons.math4.examples.sofm.chineserings</commons.osgi.export>
+    <!-- Java 9+ -->
+    
<commons.automatic.module.name>org.apache.commons.math4.examples.sofm.chineserings</commons.automatic.module.name>
+    <!-- Workaround to avoid duplicating config files. -->
+    <math.parent.dir>${basedir}/../../..</math.parent.dir>
+
+    <uberjar.name>examples-sofm-chineserings</uberjar.name>
+    
<project.mainClass>org.apache.commons.math4.examples.sofm.chineserings.StandAlone</project.mainClass>
+  </properties>
+
+  <dependencies>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-geometry-euclidean</artifactId>
+    </dependency>
+
+  </dependencies>
+
+  <build>
+    <plugins>
+      <plugin>
+        <groupId>org.apache.maven.plugins</groupId>
+        <artifactId>maven-shade-plugin</artifactId>
+        <executions>
+          <execution>
+            <phase>package</phase>
+            <goals>
+              <goal>shade</goal>
+            </goals>
+            <configuration>
+              <finalName>${uberjar.name}</finalName>
+              <minimizeJar>true</minimizeJar>
+              <transformers>
+                <transformer 
implementation="org.apache.maven.plugins.shade.resource.ManifestResourceTransformer">
+                  <mainClass>${project.mainClass}</mainClass>
+                </transformer>
+              </transformers>
+              <filters>
+                <filter>
+                  <!-- Shading signed JARs will fail without this. 
http://stackoverflow.com/questions/999489/invalid-signature-file-when-attempting-to-run-a-jar
 -->
+                  <artifact>*:*</artifact>
+                  <excludes>
+                    <exclude>META-INF/*.SF</exclude>
+                    <exclude>META-INF/*.DSA</exclude>
+                    <exclude>META-INF/*.RSA</exclude>
+                  </excludes>
+                </filter>
+              </filters>
+            </configuration>
+          </execution>
+        </executions>
+      </plugin>
+    </plugins>
+  </build>
+
+</project>
diff --git 
a/src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRings.java 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRings.java
similarity index 80%
rename from 
src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRings.java
rename to 
commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRings.java
index 01d5572..83e4e68 100644
--- 
a/src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRings.java
+++ 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRings.java
@@ -15,7 +15,9 @@
  * limitations under the License.
  */
 
-package org.apache.commons.math4.userguide.sofm;
+package org.apache.commons.math4.examples.sofm.chineserings;
+
+import java.util.Iterator;
 
 import org.apache.commons.rng.UniformRandomProvider;
 import org.apache.commons.rng.simple.RandomSource;
@@ -27,10 +29,10 @@ import 
org.apache.commons.statistics.distribution.ContinuousDistribution;
 import 
org.apache.commons.statistics.distribution.UniformContinuousDistribution;
 
 /**
- * Class that creates two intertwined rings.
+ * Class that creates two intertwined rings in 3D-space.
  * Each ring is composed of a cloud of points.
  */
-public class ChineseRings {
+class ChineseRings {
     /** Points in the two rings. */
     private final Vector3D[] points;
 
@@ -110,4 +112,37 @@ public class ChineseRings {
     public Vector3D[] getPoints() {
         return points.clone();
     }
+
+    /**
+     * Creates an iterable that will present the points coordinates.
+     *
+     * @return the iterable.
+     */
+    public Iterable<double[]> createIterable() {
+        return new Iterable<double[]>() {
+            public Iterator<double[]> iterator() {
+                return new Iterator<double[]>() {
+                    /** Data. */
+                    final Vector3D[] points = getPoints();
+                    /** Number of samples. */
+                    private int n = 0;
+
+                    /** {@inheritDoc} */
+                    public boolean hasNext() {
+                        return n < points.length;
+                    }
+
+                    /** {@inheritDoc} */
+                    public double[] next() {
+                        return points[n++].toArray();
+                    }
+
+                    /** {@inheritDoc} */
+                    public void remove() {
+                        throw new UnsupportedOperationException();
+                    }
+                };
+            }
+        };
+    }
 }
diff --git 
a/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRingsClassifier.java
 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRingsClassifier.java
new file mode 100644
index 0000000..f5343fb
--- /dev/null
+++ 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/ChineseRingsClassifier.java
@@ -0,0 +1,190 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math4.examples.sofm.chineserings;
+
+import java.util.Iterator;
+
+import org.apache.commons.rng.UniformRandomProvider;
+import org.apache.commons.rng.simple.RandomSource;
+import org.apache.commons.geometry.euclidean.threed.Vector3D;
+
+import org.apache.commons.math4.legacy.ml.neuralnet.SquareNeighbourhood;
+import org.apache.commons.math4.legacy.ml.neuralnet.FeatureInitializer;
+import org.apache.commons.math4.legacy.ml.neuralnet.FeatureInitializerFactory;
+import org.apache.commons.math4.legacy.ml.neuralnet.MapUtils;
+import org.apache.commons.math4.legacy.ml.neuralnet.twod.NeuronSquareMesh2D;
+import 
org.apache.commons.math4.legacy.ml.neuralnet.sofm.LearningFactorFunction;
+import 
org.apache.commons.math4.legacy.ml.neuralnet.sofm.LearningFactorFunctionFactory;
+import 
org.apache.commons.math4.legacy.ml.neuralnet.sofm.NeighbourhoodSizeFunction;
+import 
org.apache.commons.math4.legacy.ml.neuralnet.sofm.NeighbourhoodSizeFunctionFactory;
+import org.apache.commons.math4.legacy.ml.neuralnet.sofm.KohonenUpdateAction;
+import org.apache.commons.math4.legacy.ml.neuralnet.sofm.KohonenTrainingTask;
+import org.apache.commons.math4.legacy.ml.distance.DistanceMeasure;
+import org.apache.commons.math4.legacy.ml.distance.EuclideanDistance;
+import org.apache.commons.math4.legacy.stat.descriptive.SummaryStatistics;
+
+/**
+ * SOFM for categorizing points that belong to each of two intertwined rings.
+ */
+class ChineseRingsClassifier {
+    /** SOFM. */
+    private final NeuronSquareMesh2D sofm;
+    /** Rings. */
+    private final ChineseRings rings;
+    /** Distance function. */
+    private final DistanceMeasure distance = new EuclideanDistance();
+
+    /**
+     * @param rings Training data.
+     * @param dim1 Number of rows of the SOFM.
+     * @param dim2 Number of columns of the SOFM.
+     */
+    public ChineseRingsClassifier(ChineseRings rings,
+                                  int dim1,
+                                  int dim2) {
+        this.rings = rings;
+        sofm = new NeuronSquareMesh2D(dim1, false,
+                                      dim2, false,
+                                      SquareNeighbourhood.MOORE,
+                                      makeInitializers());
+    }
+
+    /**
+     * Creates training tasks.
+     *
+     * @param numTasks Number of tasks to create.
+     * @param numSamplesPerTask Number of training samples per task.
+     * @return the created tasks.
+     */
+    public Runnable[] createParallelTasks(int numTasks,
+                                          long numSamplesPerTask) {
+        final Runnable[] tasks = new Runnable[numTasks];
+        final LearningFactorFunction learning
+            = LearningFactorFunctionFactory.exponentialDecay(1e-1,
+                                                             5e-2,
+                                                             numSamplesPerTask 
/ 2);
+        final double numNeurons = Math.sqrt(sofm.getNumberOfRows() * 
sofm.getNumberOfColumns());
+        final NeighbourhoodSizeFunction neighbourhood
+            = NeighbourhoodSizeFunctionFactory.exponentialDecay(0.5 * 
numNeurons,
+                                                                0.2 * 
numNeurons,
+                                                                
numSamplesPerTask / 2);
+
+        for (int i = 0; i < numTasks; i++) {
+            final KohonenUpdateAction action = new 
KohonenUpdateAction(distance,
+                                                                       
learning,
+                                                                       
neighbourhood);
+            tasks[i] = new KohonenTrainingTask(sofm.getNetwork(),
+                                               
createRandomIterator(numSamplesPerTask),
+                                               action);
+        }
+        
+        return tasks;
+    }
+
+    /**
+     * Creates a training task.
+     *
+     * @param numSamples Number of training samples.
+     * @return the created task.
+     */
+    public Runnable createSequentialTask(long numSamples) {
+        return createParallelTasks(1, numSamples)[0];
+    }
+
+    /**
+     * Computes various quality measures.
+     *
+     * @return the indicators.
+     */
+    public NeuronSquareMesh2D.DataVisualization computeQualityIndicators() {
+        return sofm.computeQualityIndicators(rings.createIterable());
+    }
+
+    /**
+     * Creates the features' initializers.
+     * They are sampled from a uniform distribution around the barycentre of
+     * the rings.
+     *
+     * @return an array containing the initializers for the x, y and
+     * z coordinates of the features array of the neurons.
+     */
+    private FeatureInitializer[] makeInitializers() {
+        final SummaryStatistics[] centre = new SummaryStatistics[] {
+            new SummaryStatistics(),
+            new SummaryStatistics(),
+            new SummaryStatistics()
+        };
+        for (Vector3D p : rings.getPoints()) {
+            centre[0].addValue(p.getX());
+            centre[1].addValue(p.getY());
+            centre[2].addValue(p.getZ());
+        }
+
+        final double[] mean = new double[] {
+            centre[0].getMean(),
+            centre[1].getMean(),
+            centre[2].getMean()
+        };
+        final double s = 0.1;
+        final double[] dev = new double[] {
+            s * centre[0].getStandardDeviation(),
+            s * centre[1].getStandardDeviation(),
+            s * centre[2].getStandardDeviation()
+        };
+
+        return new FeatureInitializer[] {
+            FeatureInitializerFactory.uniform(mean[0] - dev[0], mean[0] + 
dev[0]),
+            FeatureInitializerFactory.uniform(mean[1] - dev[1], mean[1] + 
dev[1]),
+            FeatureInitializerFactory.uniform(mean[2] - dev[2], mean[2] + 
dev[2])
+        };
+    }
+
+    /**
+     * Creates an iterator that will present a series of points coordinates in
+     * a random order.
+     *
+     * @param numSamples Number of samples.
+     * @return the iterator.
+     */
+    private Iterator<double[]> createRandomIterator(final long numSamples) {
+        return new Iterator<double[]>() {
+            /** Data. */
+            final Vector3D[] points = rings.getPoints();
+            /** RNG. */
+            final UniformRandomProvider rng = 
RandomSource.create(RandomSource.KISS);
+            /** Number of samples. */
+            private long n = 0;
+
+            /** {@inheritDoc} */
+            public boolean hasNext() {
+                return n < numSamples;
+            }
+
+            /** {@inheritDoc} */
+            public double[] next() {
+                ++n;
+                return points[rng.nextInt(points.length)].toArray();
+            }
+
+            /** {@inheritDoc} */
+            public void remove() {
+                throw new UnsupportedOperationException();
+            }
+        };
+    }
+}
diff --git 
a/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/StandAlone.java
 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/StandAlone.java
new file mode 100644
index 0000000..71f72a6
--- /dev/null
+++ 
b/commons-math-examples/examples-sofm/chinese-rings/src/main/java/org/apache/commons/math4/examples/sofm/chineserings/StandAlone.java
@@ -0,0 +1,118 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.apache.commons.math4.examples.sofm.chineserings;
+
+import java.io.IOException;
+import java.io.PrintWriter;
+import java.util.concurrent.Callable;
+
+import picocli.CommandLine;
+import picocli.CommandLine.Option;
+import picocli.CommandLine.Command;
+
+import org.apache.commons.geometry.euclidean.threed.Vector3D;
+import org.apache.commons.math4.legacy.ml.neuralnet.twod.NeuronSquareMesh2D;
+
+/**
+ * Application class.
+ */
+@Command(description = "Run the application",
+         mixinStandardHelpOptions = true)
+public class StandAlone implements Callable<Void> {
+    @Option(names = { "-r" }, paramLabel = "numRows",
+            description = "Number of rows of the 2D SOFM (default: 
${DEFAULT-VALUE}).")
+    private int _numRows = 15;
+    @Option(names = { "-c" }, paramLabel = "numCols",
+            description = "Number of columns of the 2D SOFM (default: 
${DEFAULT-VALUE}).")
+    private int _numCols = 15;
+    @Option(names = { "-s" }, paramLabel = "numSamples",
+            description = "Number of samples for the training (default: 
${DEFAULT-VALUE}).")
+    private long _numSamples = 100000;
+    @Option(names = { "-o" }, paramLabel = "outputFile", required = true,
+            description = "Output file name.")
+    private String _outputFile = null;
+
+    /**
+     * Program entry point.  All solver parameters must be provided
+     * through a {@link java.util.Properties Properties} file.
+     *
+     * @param args Command line arguments and options.
+     */
+    public static void main(String[] args) {
+        CommandLine.call(new StandAlone(), args);
+    }
+
+    @Override
+    public Void call() throws Exception {
+        final ChineseRings rings = new ChineseRings(Vector3D.of(1, 2, 3),
+                                                    25, 2,
+                                                    20, 1,
+                                                    2000, 1500);
+
+        final ChineseRingsClassifier classifier = new 
ChineseRingsClassifier(rings, _numRows, _numCols);
+        classifier.createSequentialTask(_numSamples).run();
+        printResult(_outputFile, classifier);
+
+        return null;
+    }
+
+    /**
+     * Prints various quality measures of the map to files.
+     *
+     * @param fileName File name.
+     * @param sofm Classifier.
+     */
+    private static void printResult(String fileName,
+                                    ChineseRingsClassifier sofm) {
+        final NeuronSquareMesh2D.DataVisualization result = 
sofm.computeQualityIndicators();
+
+        try (final PrintWriter out = new PrintWriter(fileName)) {
+            out.println("# Number of samples: " + result.getNumberOfSamples());
+            out.println("# Quantization error: " + 
result.getMeanQuantizationError());
+            out.println("# Topographic error: " + 
result.getMeanTopographicError());
+            out.println();
+
+            printImage("Quantization error", result.getQuantizationError(), 
out);
+            printImage("Topographic error", result.getTopographicError(), out);
+            printImage("Normalized hits", result.getNormalizedHits(), out);
+            printImage("U-matrix", result.getUMatrix(), out);
+        } catch (IOException e) {
+            // Do nothing.
+        }
+    }
+
+    /**
+     * @param desc Data description.
+     * @param image Data.
+     * @param out Output stream.
+     */
+    private static void printImage(String desc,
+                                   double[][] image,
+                                   PrintWriter out) {
+        out.println("# " + desc);
+        final int nR = image.length;
+        final int nC = image[0].length;
+        for (int i = 0; i < nR; i++) {
+            for (int j = 0; j < nC; j++) {
+                out.print(image[i][j] + " ");
+            }
+            out.println();
+        }
+        out.println();
+    }
+}
diff --git a/commons-math-examples/examples-sofm/pom.xml 
b/commons-math-examples/examples-sofm/pom.xml
new file mode 100644
index 0000000..8c3befd
--- /dev/null
+++ b/commons-math-examples/examples-sofm/pom.xml
@@ -0,0 +1,57 @@
+<?xml version="1.0"?>
+<!--
+   Licensed to the Apache Software Foundation (ASF) under one or more
+   contributor license agreements.  See the NOTICE file distributed with
+   this work for additional information regarding copyright ownership.
+   The ASF licenses this file to You under the Apache License, Version 2.0
+   (the "License"); you may not use this file except in compliance with
+   the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+-->
+<project xmlns="http://maven.apache.org/POM/4.0.0"; 
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"; 
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 
http://maven.apache.org/xsd/maven-4.0.0.xsd";>
+  <modelVersion>4.0.0</modelVersion>
+
+  <parent>
+    <groupId>org.apache.commons</groupId>
+    <artifactId>commons-math-examples</artifactId>
+    <version>4.0-SNAPSHOT</version>
+  </parent>
+
+  <artifactId>examples-sofm</artifactId>
+  <version>4.0-SNAPSHOT</version>
+  <packaging>pom</packaging>
+  <name>SOFM</name>
+
+  <description>Self-organized feature map (ANN) sample codes.</description>
+
+  <properties>
+      <!-- Workaround to avoid duplicating config files. -->
+    <math.parent.dir>${basedir}/../..</math.parent.dir>
+  </properties>
+
+  <dependencies>
+
+    <dependency>
+      <groupId>org.apache.commons</groupId>
+      <artifactId>commons-math4-legacy</artifactId>
+    </dependency>
+
+    <dependency>
+      <groupId>info.picocli</groupId>
+      <artifactId>picocli</artifactId>
+    </dependency>
+
+  </dependencies>
+
+  <modules>
+    <module>chinese-rings</module>
+  </modules>
+
+</project>
diff --git 
a/commons-math-examples/examples-sofm/src/main/java/org/apache/commons/math4/examples/neuralnet/sofm/tsp/StandAlone.java
 
b/commons-math-examples/examples-sofm/src/main/java/org/apache/commons/math4/examples/neuralnet/sofm/tsp/StandAlone.java
new file mode 100644
index 0000000..3fea193
--- /dev/null
+++ 
b/commons-math-examples/examples-sofm/src/main/java/org/apache/commons/math4/examples/neuralnet/sofm/tsp/StandAlone.java
@@ -0,0 +1,41 @@
+/*
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements.  See the NOTICE file distributed with
+ * this work for additional information regarding copyright ownership.
+ * The ASF licenses this file to You under the Apache License, Version 2.0
+ * (the "License"); you may not use this file except in compliance with
+ * the License.  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+package org.apache.commons.math3.examples.neuralnet.sofm.tsp;
+
+import org.apache.commons.rng.simple.RandomSource;
+
+/**
+ */
+public class StandAlone {
+    /**
+     * Program entry point.
+     *
+     * @param args Arguments.
+     * The order is as follows:
+     * <ol>
+     *  <li>
+     *  </li>
+     *  <li>
+     *  </li>
+     * </ol>
+     */
+    public static void main(String[] args) {
+        if (args.length != EXPECTED_ARGUMENTS) {
+            throw new IllegalStateException("Missing arguments");
+        }
+    }
+}
diff --git a/commons-math-examples/pom.xml b/commons-math-examples/pom.xml
new file mode 100644
index 0000000..3b663e9
--- /dev/null
+++ b/commons-math-examples/pom.xml
@@ -0,0 +1,119 @@
+<?xml version="1.0"?>
+<!--
+   Licensed to the Apache Software Foundation (ASF) under one or more
+   contributor license agreements.  See the NOTICE file distributed with
+   this work for additional information regarding copyright ownership.
+   The ASF licenses this file to You under the Apache License, Version 2.0
+   (the "License"); you may not use this file except in compliance with
+   the License.  You may obtain a copy of the License at
+
+       http://www.apache.org/licenses/LICENSE-2.0
+
+   Unless required by applicable law or agreed to in writing, software
+   distributed under the License is distributed on an "AS IS" BASIS,
+   WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+   See the License for the specific language governing permissions and
+   limitations under the License.
+-->
+<project xmlns="http://maven.apache.org/POM/4.0.0"; 
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"; 
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 
http://maven.apache.org/xsd/maven-4.0.0.xsd";>
+  <modelVersion>4.0.0</modelVersion>
+
+  <parent>
+    <groupId>org.apache.commons</groupId>
+    <artifactId>commons-math-parent</artifactId>
+    <version>4.0-SNAPSHOT</version>
+  </parent>
+
+  <artifactId>commons-math-examples</artifactId>
+  <version>4.0-SNAPSHOT</version>
+  <packaging>pom</packaging>
+  <name>Apache Commons Math Examples</name>
+
+  <description>Examples of use of the "Commons Math" library.
+  Codes in this module and its sub-modules are not part of the public API.
+  </description>
+
+  <properties>
+    <maven.compiler.source>1.8</maven.compiler.source>
+    <maven.compiler.target>1.8</maven.compiler.target>
+
+    <!-- OSGi -->
+    
<commons.osgi.symbolicName>org.apache.commons.math4.examples</commons.osgi.symbolicName>
+    
<commons.osgi.export>org.apache.commons.math4.examples</commons.osgi.export>
+    <!-- Java 9+ -->
+    
<commons.automatic.module.name>org.apache.commons.math4.examples</commons.automatic.module.name>
+    <!-- Workaround to avoid duplicating config files. -->
+    <math.parent.dir>${basedir}/..</math.parent.dir>
+
+    <math.version>4.0-SNAPSHOT</math.version>
+    <math.picocli.version>3.9.5</math.picocli.version>
+    <math.rng.version>1.3</math.rng.version>
+    <math.geometry.version>1.0-beta1</math.geometry.version>
+
+    <!-- Disable JApiCmp failures (but keep the report). The examples API is 
allowed to change. -->
+    
<commons.japicmp.breakBuildOnBinaryIncompatibleModifications>false</commons.japicmp.breakBuildOnBinaryIncompatibleModifications>
+    
<commons.japicmp.breakBuildOnSourceIncompatibleModifications>false</commons.japicmp.breakBuildOnSourceIncompatibleModifications>
+    <math.jira.component>examples</math.jira.component>
+  </properties>
+
+  <dependencyManagement>
+    <dependencies>
+
+      <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-math4-neuralnet</artifactId>
+        <version>${math.version}</version>
+      </dependency>
+
+      <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-math4-legacy</artifactId>
+        <version>${math.version}</version>
+      </dependency>
+
+      <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-rng-client-api</artifactId>
+        <version>${math.rng.version}</version>
+      </dependency>
+
+      <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-rng-simple</artifactId>
+        <version>${math.rng.version}</version>
+      </dependency>
+
+      <dependency>
+        <groupId>org.apache.commons</groupId>
+        <artifactId>commons-geometry-euclidean</artifactId>
+        <version>${math.geometry.version}</version>
+      </dependency>
+
+      <dependency>
+        <groupId>info.picocli</groupId>
+        <artifactId>picocli</artifactId>
+        <version>${math.picocli.version}</version>
+      </dependency>
+
+    </dependencies>
+  </dependencyManagement>
+
+  <build>
+    <pluginManagement>
+
+      <plugins>
+        <plugin>
+          <groupId>org.codehaus.mojo</groupId>
+          <artifactId>exec-maven-plugin</artifactId>
+          <version>1.6.0</version>
+        </plugin>
+      </plugins>
+
+    </pluginManagement>
+  </build>
+
+  <modules>
+    <module>examples-sofm</module>
+  </modules>
+
+</project>
diff --git a/pom.xml b/pom.xml
index 2a86fd8..0806bef 100644
--- a/pom.xml
+++ b/pom.xml
@@ -106,9 +106,7 @@
 
   <modules>
     <module>commons-math-legacy</module>
-    <!-- <module>commons-math-core</module> -->
-    <!-- <module>commons-math-ml-nn</module> -->
-    <!-- <module>commons-math-ml-ga</module> -->
+    <module>commons-math-examples</module>
   </modules>
 
   <scm>
@@ -721,15 +719,6 @@
         </plugins>
       </build>
     </profile>
-    <!--
-        Profiles for modules with special requirements.
-    -->
-    <profile>
-      <id>commons-numbers-examples</id>
-      <modules>
-        <module>commons-numbers-examples</module>
-      </modules>
-    </profile>
   </profiles>
 
   <developers>
diff --git 
a/src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRingsClassifier.java
 
b/src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRingsClassifier.java
deleted file mode 100644
index ce0f473..0000000
--- 
a/src/userguide/java/org/apache/commons/math4/userguide/sofm/ChineseRingsClassifier.java
+++ /dev/null
@@ -1,337 +0,0 @@
-/*
- * Licensed to the Apache Software Foundation (ASF) under one or more
- * contributor license agreements.  See the NOTICE file distributed with
- * this work for additional information regarding copyright ownership.
- * The ASF licenses this file to You under the Apache License, Version 2.0
- * (the "License"); you may not use this file except in compliance with
- * the License.  You may obtain a copy of the License at
- *
- *     http://www.apache.org/licenses/LICENSE-2.0
- *
- * Unless required by applicable law or agreed to in writing, software
- * distributed under the License is distributed on an "AS IS" BASIS,
- * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
- * See the License for the specific language governing permissions and
- * limitations under the License.
- */
-
-package org.apache.commons.math4.userguide.sofm;
-
-import java.util.Iterator;
-import java.io.PrintWriter;
-import java.io.IOException;
-
-import org.apache.commons.rng.UniformRandomProvider;
-import org.apache.commons.rng.simple.RandomSource;
-import org.apache.commons.geometry.euclidean.threed.Vector3D;
-
-import org.apache.commons.math4.ml.neuralnet.SquareNeighbourhood;
-import org.apache.commons.math4.ml.neuralnet.FeatureInitializer;
-import org.apache.commons.math4.ml.neuralnet.FeatureInitializerFactory;
-import org.apache.commons.math4.ml.neuralnet.MapUtils;
-import org.apache.commons.math4.ml.neuralnet.twod.NeuronSquareMesh2D;
-import org.apache.commons.math4.ml.neuralnet.sofm.LearningFactorFunction;
-import 
org.apache.commons.math4.ml.neuralnet.sofm.LearningFactorFunctionFactory;
-import org.apache.commons.math4.ml.neuralnet.sofm.NeighbourhoodSizeFunction;
-import 
org.apache.commons.math4.ml.neuralnet.sofm.NeighbourhoodSizeFunctionFactory;
-import org.apache.commons.math4.ml.neuralnet.sofm.KohonenUpdateAction;
-import org.apache.commons.math4.ml.neuralnet.sofm.KohonenTrainingTask;
-import org.apache.commons.math4.ml.distance.DistanceMeasure;
-import org.apache.commons.math4.ml.distance.EuclideanDistance;
-import org.apache.commons.math4.stat.descriptive.SummaryStatistics;
-import org.apache.commons.math4.util.FastMath;
-import org.apache.commons.math4.exception.MathUnsupportedOperationException;
-
-/**
- * SOFM for categorizing points that belong to each of two intertwined rings.
- *
- * The output currently consists in 3 text files:
- * <ul>
- *  <li>"before.chinese.U.seq.dat": U-matrix of the SOFM before training</li>
- *  <li>"after.chinese.U.seq.dat": U-matrix of the SOFM after training</li>
- *  <li>"after.chinese.hit.seq.dat": Hit histogram after training</li>
- * </ul>
- */
-public class ChineseRingsClassifier {
-    /** SOFM. */
-    private final NeuronSquareMesh2D sofm;
-    /** Rings. */
-    private final ChineseRings rings;
-    /** Distance function. */
-    private final DistanceMeasure distance = new EuclideanDistance();
-
-    public static void main(String[] args) {
-        final ChineseRings rings = new ChineseRings(Vector3D.of(1, 2, 3),
-                                                    25, 2,
-                                                    20, 1,
-                                                    2000, 1500);
-        final ChineseRingsClassifier classifier = new 
ChineseRingsClassifier(rings, 15, 15);
-        printU("before.chinese.U.seq.dat", classifier);
-        classifier.createSequentialTask(100000).run();
-        printU("after.chinese.U.seq.dat", classifier);
-        printHit("after.chinese.hit.seq.dat", classifier);
-    }
-
-    /**
-     * @param rings Training data.
-     * @param dim1 Number of rows of the SOFM.
-     * @param dim2 Number of columns of the SOFM.
-     */
-    public ChineseRingsClassifier(ChineseRings rings,
-                                  int dim1,
-                                  int dim2) {
-        this.rings = rings;
-        sofm = new NeuronSquareMesh2D(dim1, false,
-                                      dim2, false,
-                                      SquareNeighbourhood.MOORE,
-                                      makeInitializers());
-    }
-
-    /**
-     * Creates training tasks.
-     *
-     * @param numTasks Number of tasks to create.
-     * @param numSamplesPerTask Number of training samples per task.
-     * @return the created tasks.
-     */
-    public Runnable[] createParallelTasks(int numTasks,
-                                          long numSamplesPerTask) {
-        final Runnable[] tasks = new Runnable[numTasks];
-        final LearningFactorFunction learning
-            = LearningFactorFunctionFactory.exponentialDecay(1e-1,
-                                                             5e-2,
-                                                             numSamplesPerTask 
/ 2);
-        final double numNeurons = FastMath.sqrt(sofm.getNumberOfRows() * 
sofm.getNumberOfColumns());
-        final NeighbourhoodSizeFunction neighbourhood
-            = NeighbourhoodSizeFunctionFactory.exponentialDecay(0.5 * 
numNeurons,
-                                                                0.2 * 
numNeurons,
-                                                                
numSamplesPerTask / 2);
-
-        for (int i = 0; i < numTasks; i++) {
-            final KohonenUpdateAction action = new 
KohonenUpdateAction(distance,
-                                                                       
learning,
-                                                                       
neighbourhood);
-            tasks[i] = new KohonenTrainingTask(sofm.getNetwork(),
-                                               
createRandomIterator(numSamplesPerTask),
-                                               action);
-        }
-        
-        return tasks;
-    }
-
-    /**
-     * Creates a training task.
-     *
-     * @param numSamples Number of training samples.
-     * @return the created task.
-     */
-    public Runnable createSequentialTask(long numSamples) {
-        return createParallelTasks(1, numSamples)[0];
-    }
-
-    /**
-     * Computes the U-matrix.
-     *
-     * @return the U-matrix of the network.
-     */
-    public double[][] computeU() {
-        return MapUtils.computeU(sofm, distance);
-    }
-
-    /**
-     * Computes the hit histogram.
-     *
-     * @return the histogram.
-     */
-    public int[][] computeHitHistogram() {
-        return MapUtils.computeHitHistogram(createIterable(),
-                                            sofm,
-                                            distance);
-    }
-
-    /**
-     * Computes the quantization error.
-     *
-     * @return the quantization error.
-     */
-    public double computeQuantizationError() {
-        return MapUtils.computeQuantizationError(createIterable(),
-                                                 sofm.getNetwork(),
-                                                 distance);
-    }
-
-    /**
-     * Computes the topographic error.
-     *
-     * @return the topographic error.
-     */
-    public double computeTopographicError() {
-        return MapUtils.computeTopographicError(createIterable(),
-                                                sofm.getNetwork(),
-                                                distance);
-    }
-
-    /**
-     * Creates the features' initializers.
-     * They are sampled from a uniform distribution around the barycentre of
-     * the rings.
-     *
-     * @return an array containing the initializers for the x, y and
-     * z coordinates of the features array of the neurons.
-     */
-    private FeatureInitializer[] makeInitializers() {
-        final SummaryStatistics[] centre = new SummaryStatistics[] {
-            new SummaryStatistics(),
-            new SummaryStatistics(),
-            new SummaryStatistics()
-        };
-        for (Vector3D p : rings.getPoints()) {
-            centre[0].addValue(p.getX());
-            centre[1].addValue(p.getY());
-            centre[2].addValue(p.getZ());
-        }
-
-        final double[] mean = new double[] {
-            centre[0].getMean(),
-            centre[1].getMean(),
-            centre[2].getMean()
-        };
-        final double s = 0.1;
-        final double[] dev = new double[] {
-            s * centre[0].getStandardDeviation(),
-            s * centre[1].getStandardDeviation(),
-            s * centre[2].getStandardDeviation()
-        };
-
-        return new FeatureInitializer[] {
-            FeatureInitializerFactory.uniform(mean[0] - dev[0], mean[0] + 
dev[0]),
-            FeatureInitializerFactory.uniform(mean[1] - dev[1], mean[1] + 
dev[1]),
-            FeatureInitializerFactory.uniform(mean[2] - dev[2], mean[2] + 
dev[2])
-        };
-    }
-
-    /**
-     * Creates an iterable that will present the points coordinates.
-     *
-     * @return the iterable.
-     */
-    private Iterable<double[]> createIterable() {
-        return new Iterable<double[]>() {
-            public Iterator<double[]> iterator() {
-                return new Iterator<double[]>() {
-                    /** Data. */
-                    final Vector3D[] points = rings.getPoints();
-                    /** Number of samples. */
-                    private int n = 0;
-
-                    /** {@inheritDoc} */
-                    public boolean hasNext() {
-                        return n < points.length;
-                    }
-
-                    /** {@inheritDoc} */
-                    public double[] next() {
-                        return points[n++].toArray();
-                    }
-
-                    /** {@inheritDoc} */
-                    public void remove() {
-                        throw new MathUnsupportedOperationException();
-                    }
-                };
-            }
-        };
-    }
-
-    /**
-     * Creates an iterator that will present a series of points coordinates in
-     * a random order.
-     *
-     * @param numSamples Number of samples.
-     * @return the iterator.
-     */
-    private Iterator<double[]> createRandomIterator(final long numSamples) {
-        return new Iterator<double[]>() {
-            /** Data. */
-            final Vector3D[] points = rings.getPoints();
-            /** RNG. */
-            final UniformRandomProvider rng = 
RandomSource.create(RandomSource.KISS);
-            /** Number of samples. */
-            private long n = 0;
-
-            /** {@inheritDoc} */
-            public boolean hasNext() {
-                return n < numSamples;
-            }
-
-            /** {@inheritDoc} */
-            public double[] next() {
-                ++n;
-                return points[rng.nextInt(points.length)].toArray();
-            }
-
-            /** {@inheritDoc} */
-            public void remove() {
-                throw new MathUnsupportedOperationException();
-            }
-        };
-    }
-
-    /**
-     * Prints the U-matrix of the map to the given file name.
-     *
-     * @param fileName File.
-     * @param sofm Classifier.
-     */
-    private static void printU(String fileName,
-                               ChineseRingsClassifier sofm) {
-        PrintWriter out = null;
-        try {
-            out = new PrintWriter(fileName);
-
-            final double[][] uMatrix = sofm.computeU();
-            for (int i = 0; i < uMatrix.length; i++) {
-                for (int j = 0; j < uMatrix[0].length; j++) {
-                    out.print(uMatrix[i][j] + " ");
-                }
-                out.println();
-            }
-            out.println("# Quantization error: " + 
sofm.computeQuantizationError());
-            out.println("# Topographic error: " + 
sofm.computeTopographicError());
-        } catch (IOException e) {
-            // Do nothing.
-        } finally {
-            if (out != null) {
-                out.close();
-            }
-        }
-    }
-
-    /**
-     * Prints the hit histogram of the map to the given file name.
-     *
-     * @param fileName File.
-     * @param sofm Classifier.
-     */
-    private static void printHit(String fileName,
-                                 ChineseRingsClassifier sofm) {
-        PrintWriter out = null;
-        try {
-            out = new PrintWriter(fileName);
-
-            final int[][] histo = sofm.computeHitHistogram();
-            for (int i = 0; i < histo.length; i++) {
-                for (int j = 0; j < histo[0].length; j++) {
-                    out.print(histo[i][j] + " ");
-                }
-                out.println();
-            }
-        } catch (IOException e) {
-            // Do nothing.
-        } finally {
-            if (out != null) {
-                out.close();
-            }
-        }
-    }
-}

Reply via email to