ICCV 2017 Tutorial

Covariance 2017

Venice - Sunday October 22

Publications

Publications by the organizer

  • (Book) Hà Quang Minh and Vittorio Murino
    Covariances in Computer Vision and Machine Learning
    Morgan & Claypool Synthesis Lectures on Computer Vision, October 2017
    Online link at this link
  • Hà Quang Minh
    Infinite-dimensional Log-Determinant divergences between positive definite trace class operators
    Linear Algebra and Its Applications, volume 528, pages 331-383, 2017, available online at this link
  • Hà Quang Minh
    Log-Determinant divergences between positive definite Hilbert-Schmidt operators
    Geometric Science of Information (GSI 2017), available online at this link
  • (Book) Hà Quang Minh and Vittorio Murino [editors]
    Algorithmic Advances in Riemannian Geometry and Applications: For Machine Learning, Computer Vision, Statistics, and Optimization
    Springer series in Advances in Computer Vision and Pattern Recognition, 2016
    Available online at this link
  • Hà Quang Minh and Vittorio Murino
    From Covariance Matrices to Covariance Operators: Data Representation from Finite to Infinite-Dimensional Settings
    In Algorithmic Advances in Riemannian Geometry and Applications: For Machine Learning, Computer Vision, Statistics, and Optimization
    Springer series in Advances in Computer Vision and Pattern Recognition, 2016
    Available online at this link
  • Hà Quang Minh, Marco San Biagio, Loris Bazzani, and Vittorio Murino
    Approximate Log-Hilbert-Schmidt distances between covariance operators for image classification
    IEEE Conference on Computer Vision and Pattern Recognition (CVPR 2016), Las Vegas, Nevada, USA, June 2016
    Available online at this link
  • Hà Quang Minh, Loris Bazzani, and Vittorio Murino
    A Unifying Framework in Vector-valued Reproducing Kernel Hilbert Spaces for Manifold Regularization and Co-Regularized Multi- view Learning
    Journal of Machine Learning Research, 17(25):1-72, 2016
    Available online at this link
  • Hà Quang Minh
    Affine-invariant Riemannian Distance Between Infinite-dimensional Covariance Operators
    Geometric Science of Information (GSI 2015), Paris-Saclay, France, October 2015
    Available online at this link
  • L. Dodero, Hà Quang Minh, M. San Biagio, V. Murino and D. Sona
    Kernel-based Classification For Brain Connectivity Graphs On The Riemannian Manifold Of Positive Definite Matrices. Proceedings of the International Symposium on Biomedical Imaging (ISBI 2015), New York, USA, April 2015
    Available online at this link
  • Hà Quang Minh, Marco San Biagio, and Vittorio Murino
    Log-Hilbert-Schmidt metric between positive definite operators on Hilbert spaces
    Advances in Neural Information Processing Systems (NIPS 2014), December 2014, Montreal, Canada
    Available online at this link

Related publications by other researchers

  • V. Arsigny, P. Fillard, X. Pennec, and N. Ayache
    Geometric means in a novel vector space structure on symmetric positive-definite matrices
    SIMAX, 29(1), 2007
  • A. Cherian, S. Sra, A. Banerjee, and N. Papanikolopoulos
    Jensen-Bregman LogDet divergence with application to efficient similarity search for covariance matrices
    PAMI, 35(9):2161-2174, 2013
  • M. Faraki, M. Harandi, and F. Porikli
    Approximate infinite-dimensional region covariance descriptors for image classification
    In ICASSP, 2015
  • M. Harandi, M. Salzmann, and F. Porikli
    Bregman divergences for infinite dimensional covariance matrices
    In CVPR, 2014
  • T. Kato, T. Matsuzawa, J. Sese, R. Relator
    Stochastic Dykstra Algorithms for Metric Learning with Positive Definite Covariance Descriptors
    In ECCV, 2016
  • S. Jayasumana, R. Hartley, M. Salzmann, H. Li, and M. Harandi
    Kernel methods on Riemannian manifolds with Gaussian RBF kernels
    PAMI, vol. 37, no. 12, pp. 2464-2477, 2015
  • T. Matsukawa, T. Okabe, E. Suzuki, Y. Sato
    Hierarchical Gaussian Descriptor for Person Re-Identification
    In CVPR, 2016
  • M. Moakher and M. Zerai.
    The Riemannian geometry of the space of positive-definite matrices and its application to the regularization of positive-definite matrix-valued data.
    Journal of Mathematical Imaging and Vision, 2011.
  • X. Pennec, P. Fillard, and N. Ayache
    A Riemannian framework for tensor computing
    IJCV, 66(1):41-66, 2006
  • S. Sra
    A new metric on the manifold of kernel matrices with application to matrix geometric means.
    In NIPS, 2012
  • D. Tosato, M. Spera, M. Cristani, and V. Murino
    Characterizing humans on Riemannian manifolds
    PAMI, vol. 35, no. 8, pp. 1972-1984, Aug 2013
  • O. Tuzel, F. Porikli, and P. Meer
    Pedestrian detection via classification on Riemannian manifolds
    PAMI, vol. 30, no. 10, pp. 1713-1727, 2008
  • Q. Wang, P. Li, W. Zuo, L. Zhang
    RAID-G: Robust Estimation of Approximate Infinite Dimensional Gaussian With Application to Material Recognition
    In CVPR, 2016
  • R. Wang, H. Guo, L. Davis, and Q. Dai
    Covariance discriminative learning: A natural and efficient approach to image set classification
    In CVPR, pages 2496-2503, June 2012
  • Y. Wang, O. Camps, M. Sznaier, B. Solvas
    Jensen Bregman LogDet Divergence Optimal Filtering in the Manifold of Positive Definite Matrices
    In ECCV, 2016
  • M. Yin, Y. Guo, J. Gao, Z. He, S. Xie
    Kernel Sparse Subspace Clustering on Symmetric Positive Definite Manifolds
    In CVPR, 2016
  • S. K. Zhou and R. Chellappa
    From sample similarity to ensemble similarity: Probabilistic distance measures in reproducing kernel Hilbert space
    PAMI, 28(6):917-929, 2006
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