The results in http://eulersharp.sourceforge.net/2007/07test/wetE100.n3
and http://eulersharp.sourceforge.net/2007/07test/wetE101.n3
are actually containing e:inductivity triples according to
http://eulersharp.sourceforge.net/2003/03swap/log-rules.n3
e:inductivity a rdf:Property;
rdfs:comment """a property to express the ratio
possibleModels/(possibleModels+counterModels)""";
rdfs:domain rdfs:Resource;
rdfs:range xsd:decimal .
which is like closing the monotonic abduction-deduction-induction cycle
aka "monadic".
Kind regards,
Jos De Roo | Agfa HealthCare
Senior Researcher | HE/Advanced Clinical Applications Research
T +32 3444 7618
http://www.agfa.com/w3c/jdroo/
Agfa HealthCare NV, Moutstraat 100, 9000 Gent, Belgium
http://www.agfa.com/healthcare
Jos De Roo/AMDUS/AGFA
09/14/2010 11:34 PM
To
[email protected]
cc
Subject
Monotonic abduction and Bayes theorem in N3 coherent logic
http://eulersharp.sourceforge.net/2007/07test/wetP100.n3
contains 100 historical measurements for location 1 plus some integrity
constraints
http://eulersharp.sourceforge.net/2007/07test/wetC100.n3
contains the actual condition for location 1
http://eulersharp.sourceforge.net/2007/07test/wetQ100.n3
http://eulersharp.sourceforge.net/2007/07test/wetQ101.n3
are 2 questions
The thesis is that for query Q given condition C
belief(Q|C) = possibleModels/(possibleModels+counterModels)
i.e. for http://eulersharp.sourceforge.net/2007/07test/wetE100.n3
belief(Sprinkler|WetGrass) = 46/(46+35) = 0.56790
and for http://eulersharp.sourceforge.net/2007/07test/wetE101.n3
belief(Rain|WetGrass) = 54/(54+27) = 0.66667
With appropriate queries and conditions the Bayes theorem holds:
belief(Sprinkler|WetGrass) =
belief(WetGrass|Sprinkler)*belief(Sprinkler)/belief(WetGrass)
46/(46+35) = 46/(46+5)*51/(51+49)/(81/(81+19)) = 0.56790
belief(Rain|WetGrass) =
belief(WetGrass|Rain)*belief(Rain)/belief(WetGrass)
54/(54+27) = 54/(54+4)*58/(58+42)/(81/(81+19)) = 0.66667
Jos De Roo | Agfa HealthCare
Senior Researcher | HE/Advanced Clinical Applications Research
T +32 3444 7618
http://www.agfa.com/w3c/jdroo/
Agfa HealthCare NV, Moutstraat 100, 9000 Gent, Belgium
http://www.agfa.com/healthcare
