Challenge IEEE-ISBI/TCB : Application of Covariance matrices and wavelet marginals

This short memo aims at explaining our approach for the challenge IEEE-ISBI on Bone Texture Characterization. In this work, we focus on the use of covariance matrices and wavelet marginals in an SVM classier.

[1]  Katrien van Driessen,et al.  A Fast Algorithm for the Minimum Covariance Determinant Estimator , 1999, Technometrics.

[2]  Christian Jutten,et al.  Classification of covariance matrices using a Riemannian-based kernel for BCI applications , 2013, Neurocomputing.

[3]  Florian Yger,et al.  Wavelet kernel learning , 2011, Pattern Recognit..

[4]  Yong Haur Tay,et al.  Gabor Filters as Feature Images for Covariance Matrix on Texture Classification Problem , 2009, ICONIP.

[5]  Mia Hubert,et al.  LIBRA: a MATLAB library for robust analysis , 2005 .

[6]  P. Meer,et al.  Covariance Tracking using Model Update Based on Means on Riemannian Manifolds , 2005 .

[7]  S. Mallat,et al.  Invariant Scattering Convolution Networks , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Stéphane Mallat,et al.  Invariant Scattering Convolution Networks , 2012, IEEE transactions on pattern analysis and machine intelligence.

[9]  Fatih Murat Porikli,et al.  Robust License Plate Detection Using Covariance Descriptor in a Neural Network Framework , 2006, 2006 IEEE International Conference on Video and Signal Based Surveillance.

[10]  Stéphane Mallat,et al.  A Wavelet Tour of Signal Processing - The Sparse Way, 3rd Edition , 2008 .

[11]  Florian Yger,et al.  A review of kernels on covariance matrices for BCI applications , 2013, 2013 IEEE International Workshop on Machine Learning for Signal Processing (MLSP).

[12]  P. Rousseeuw.  Least Median of Squares Regression , 1984 .

[13]  Sebastian Nowozin,et al.  On feature combination for multiclass object classification , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[14]  Maher Moakher,et al.  A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices , 2005, SIAM J. Matrix Anal. Appl..

[15]  Stéphane Mallat,et al.  Combined scattering for rotation invariant texture analysis , 2012, ESANN.

[16]  Marie-Françoise Lucas,et al.  Optimization of wavelets for classification of movement-related cortical potentials generated by variation of force-related parameters , 2007, Journal of Neuroscience Methods.

[17]  Jorge P. Batista,et al.  A kernel particle filter multi-object tracking using gabor-based region covariance matrices , 2009, 2009 16th IEEE International Conference on Image Processing (ICIP).

[18]  Claus Bahlmann,et al.  Learning with Distance Substitution Kernels , 2004, DAGM-Symposium.

[19]  Fatih Murat Porikli,et al.  Region Covariance: A Fast Descriptor for Detection and Classification , 2006, ECCV.

[20]  Fatih Murat Porikli,et al.  Human Detection via Classification on Riemannian Manifolds , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.