Metrics Induced by Jensen-Shannon and Related Divergences on Positive Definite Matrices
暂无分享,去创建一个
[1] F. Yger,et al. Riemannian Approaches in Brain-Computer Interfaces: A Review , 2017, IEEE Transactions on Neural Systems and Rehabilitation Engineering.
[2] Jerzy Dajka,et al. Distance between quantum states in the presence of initial qubit-environment correlations: A comparative study , 2011, 1107.1732.
[3] D'aniel Virosztek. The metric property of the quantum Jensen-Shannon divergence , 2019, 1910.10447.
[4] A. Plastino,et al. Metric character of the quantum Jensen-Shannon divergence , 2008, 0801.1586.
[5] Inderjit S. Dhillon,et al. Clustering with Bregman Divergences , 2005, J. Mach. Learn. Res..
[6] Mehrtash Harandi,et al. Dimensionality Reduction on SPD Manifolds: The Emergence of Geometry-Aware Methods , 2016, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[7] Jianhua Lin,et al. Divergence measures based on the Shannon entropy , 1991, IEEE Trans. Inf. Theory.
[8] Serge Fehr,et al. On quantum Rényi entropies: A new generalization and some properties , 2013, 1306.3142.
[9] Inderjit S. Dhillon,et al. Low-Rank Kernel Learning with Bregman Matrix Divergences , 2009, J. Mach. Learn. Res..
[10] S. Sra. On the matrix square root via geometric optimization , 2015, 1507.08366.
[11] T. Raghavan,et al. Nonnegative Matrices and Applications , 1997 .
[12] D. Petz. Quasi-entropies for finite quantum systems , 1986 .
[13] Anoop Cherian,et al. Jensen-Bregman LogDet Divergence with Application to Efficient Similarity Search for Covariance Matrices , 2013, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[14] Suvrit Sra,et al. Conic Geometric Optimization on the Manifold of Positive Definite Matrices , 2013, SIAM J. Optim..
[15] C. R. Rao,et al. Entropy differential metric, distance and divergence measures in probability spaces: A unified approach , 1982 .
[16] Frank Nielsen,et al. The Burbea-Rao and Bhattacharyya Centroids , 2010, IEEE Transactions on Information Theory.
[17] C. R. Rao,et al. On the convexity of some divergence measures based on entropy functions , 1982, IEEE Trans. Inf. Theory.
[18] I. Chuang,et al. Quantum Computation and Quantum Information: Bibliography , 2010 .
[19] R. Bhatia. Positive Definite Matrices , 2007 .
[20] S. Sra. Positive definite matrices and the S-divergence , 2011, 1110.1773.
[21] W. Donoghue. Monotone Matrix Functions and Analytic Continuation , 1974 .
[22] Peter Harremoës,et al. Properties of Classical and Quantum Jensen-Shannon Divergence , 2009 .
[23] Flemming Topsøe,et al. Jensen-Shannon divergence and Hilbert space embedding , 2004, International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings..
[24] Suvrit Sra,et al. Logarithmic inequalities under a symmetric polynomial dominance order , 2017, Proceedings of the American Mathematical Society.
[25] Richard C. Wilson,et al. Characterizing graph symmetries through quantum Jensen-Shannon divergence. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.