PhD Student Position: Sparse Representation and Learning in Pattern Recognition
at Computer Science Department, Laval University, Canada

Keywords:  Sparse Representation, Structured Sparsity, Sparse Subspace 
Learning, Visual Recognition, Feature Selection, Sparse Coding, Sparsity 
Induced Similarity,

Background:  Sparse representation and learning have been extensively used 
recently in machine learning, computer vision, pattern recognition, etc. 
Generally speaking, sparse representation and learning aim to find the sparsest 
linear combination of basis functions from a complete dictionary. A rational 
behind this lies in the fact that there is a sparse connectivity between nodes 
in human brain.

In many signal processing applications (video, image processing, speech 
recognition, etc.)  the data sets are usually high dimensional and very large. 
In this context, sparse representation and learning have shown to be promising 
techniques for addressing them.

Recently, many important theoretical results enriched this area as for instance 
[1]: (i) the sparsest representation in a general dictionary is unique and can 
be found by using L1 minimisation [2]; (ii) the sparse representation can be 
covered by solving the convex programming, if the dictionary has a restricted 
isometry property [3,4]. Thanks to these important results and their 
corollaries, sparse representation and learning have extensively been used in 
many areas including signal processing and applications as speech recognition, 
machine learning, computer vision, digital multimedia, robotics, etc. A 
complete review on sparse representation and learning from both theory and 
applications sides appeared recently [1].

Goal and Objectives:
The goal of this PhD research is to strive to address the following issues:

 *   Is the sparsity assumption always supported by the data? Nowadays, 
compressive sensing has become one of the standard techniques of object 
recognition. If the sparsity is however not supported by the data, it is not 
guarantee to recover the exact signal and therefore sparse approximations may 
not deliver the robustness or performance desired [5]. In this case what sort 
of acceptable (in terms of computation load) robust method can be?
 *   When the Sparse Representation is Relevant? It is important here to 
perform an in-depth analysis of sparse representation in pattern recognition 
and see empirically if this sparse representation improves recognition 
performance compared to non-sparse representations [6]. To this end, it would 
be important to take into consideration the way to extract features and to 
refine them as well as the computational load induced by the all process of 
sparse representation.
 *   Sparse Representation or Collaborative Representation, which one is the 
best? Similarly to Zhang's work [7], it would be appropriate to see if the use 
of all training samples to collaboratively represent a query sample is much 
more crucial to sparse representation based classification (SRC). Taking into 
consideration the fact that the collaborative representation based 
classification (CRC) plays a more important role than L1-regularization as 
shown by Zhang et al. [7], it would be opportune to see what new instantiations 
of CRC (with less computational load than usual SRC) can be proposed.
 *   Is sparse representation and learning usefulness in the context of 
video-based action modeling and recognition? Are ideas from this application 
fairly general and applicable to other recognition problems? One should here 
explore the usefulness of sparse representation and learning in the context of 
video classification, looking particularly at the problem of recognizing human 
actions-both physical actions and facial expressions [8]. This can be achieved 
by constructing an overcomplete dictionary using a set of spatio-temporal 
descriptors (extracted from the video sequences) in such a way that each of 
these descriptors is represented by some linear combination of a small number 
of dictionary elements. By doing so, one can achieve a more compact and richer 
representation than classical methods using clustering and vector quantization. 
It is also important to see which representation (sparse vs collaborative) is 
the more convenient for human-action recognition.  Experiments and validation 
of generalization to other recognition problems can be done on several data 
sets containing various physical actions, facial expressions and object 
recognition.

Job Description:
The PhD candidate will focus on signal processing and machine learning. In this 
context, she will first acquire expertise in different topics such as 
clustering and classification, Bayesian and generative modelling, signal 
separation, parameter and state estimation,  time series and space state 
methods, compression and coding. Then, the PhD candidate is expected to 
contribute to the advancement of the literature on sparse representation and 
learning along many different lines: methodological, theoretical, algorithmic 
and experimental.
Profile:
The applicant must have a Master of Science in Computer Science or Computer 
Engineering, Statistics, or related fields, possibly with background in Signal 
Processing and optimization. Good written and oral communication skills in 
English are required.
Application:
The application should include a brief description of research interests and 
past experience, a CV, degrees and grades, a copy of Master thesis (or a draft 
thereof), motivation letter (short but pertinent to this call), relevant 
publications (if any), and other relevant documents. Candidates are encouraged 
to provide letter(s) of recommendation and contact information to reference 
persons. Please send your application to [email protected]. The deadline for 
the application is June15th, 2014, but we encourage the applicants to contact 
me as soon as possible.

 *   Supervisors:  Pr. Brahim Chaib-draa
 *   Place: Department Computer Science and software 
Engineering<http://www.ift.ulaval.ca/>, Laval 
University<http://www2.ulaval.ca/accueil.html>, 
Québec<http://www.quebecregion.com/fr/>

Working Environment:

 *   The PhD candidate will work at Damas lab part of the Department Computer 
Science and software Engineering<http://www.ift.ulaval.ca/> in collaboration 
with researchers from REPARTI center<http://reparti.gel.ulaval.ca/> of which 
Chaib-draa is affiliated (http://reparti.gel.ulaval.ca/). REPARTI provides 
several advantages, including a human infrastructure to help with some 
management aspects for research, and access to a wide network of other 
researchers in areas closely related to the topic of this PhD proposal.

Benefits:

 *   Duration: 36 months - starting date: September 2014, 1st
 *   Salary: 19 000$/Year + 3 000$/year (from University)

References:

 1.  Cheng, H.; Liu, Z.; Yang, L.; and Chen, X. Sparse Representation and 
Learning in Visual Recognition: Theory and Applications, Signal Processing, 93, 
2013.
 2.  Donoho, D. and Elad, M. Optimally Sparse Representation in General 
(non-orthogonal) Dictionaries via L1 minimization. Proc. Of the National 
Academy of Sciences, 100(5), 2003.
 3.  Candes, E.J.; Romberg, J. K. and Tao, T. Stable Signal Recovery from 
Incomplete and Inaccurate Measurements. Communications on Pure and Applied 
Mathematics, 59(8), 2006.
 4.  Candes, E. J. and Tao, T. Near optimal Signal Recovery from random 
Projection: Universal Encoding Strategies? IEEE Transaction on Information 
Theory, 52(12), 2006.
 5.  Shi, Q,; Erikson, A.,; Hengel, A. and Shen, C. Is Face Recognition really 
a Compressive Sensing Problem? In Proc. of CVPR'11, 2011.
 6.  Rigamonti, R.; Brown, M. A. and Lepetit, V.  Are Sparse Representations 
Really Relevant for Image Classification? In Proc. of CVPR'11, 2011.
 7.  Zhang, L.; Yang, M.; and Feng X. Sparse Representation or Collaborative 
Representations: which Helps Face Recognition? IEEE Int. Conf on Computer 
Vision, 2011.
 8.  Guha, T. and Ward, R. K. Learning Sparse Representations for Human Action 
Recognition, IEEE Transaction on PAMI, 34(8), 2012.


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