Matrix Manifold Optimization for Gaussian Mixtures
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[1] David G. Stork,et al. Pattern classification, 2nd Edition , 2000 .
[2] R. Keener. Theoretical Statistics: Topics for a Core Course , 2010 .
[3] Bamdev Mishra,et al. Manopt, a matlab toolbox for optimization on manifolds , 2013, J. Mach. Learn. Res..
[4] Ami Wiesel,et al. Geodesic Convexity and Covariance Estimation , 2012, IEEE Transactions on Signal Processing.
[5] Robert A. Jacobs,et al. Hierarchical Mixtures of Experts and the EM Algorithm , 1993, Neural Computation.
[6] Robert E. Mahony,et al. Optimization Algorithms on Matrix Manifolds , 2007 .
[7] Vanderbei Robert,et al. On Formulating Semidefinite Programming Problems as Smooth Convex Nonlinear Optimization Problems , 2000 .
[8] Zoubin Ghahramani,et al. Optimization with EM and Expectation-Conjugate-Gradient , 2003, ICML.
[9] Suvrit Sra,et al. Manifold Optimization for Gaussian Mixture Models , 2015, ArXiv.
[10] Michael I. Jordan,et al. On Convergence Properties of the EM Algorithm for Gaussian Mixtures , 1996, Neural Computation.
[11] C. Udriste,et al. Convex Functions and Optimization Methods on Riemannian Manifolds , 1994 .
[12] Suvrit Sra,et al. Geometric optimisation on positive definite matrices for elliptically contoured distributions , 2013, NIPS.
[13] D. Rubin,et al. Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .
[14] Benedikt Wirth,et al. Optimization Methods on Riemannian Manifolds and Their Application to Shape Space , 2012, SIAM J. Optim..
[15] Jinwen Ma,et al. Asymptotic Convergence Rate of the EM Algorithm for Gaussian Mixtures , 2000, Neural Computation.
[16] I. Moorhead,et al. Natural Images , 2000, Perception.
[17] Silvere Bonnabel,et al. Stochastic Gradient Descent on Riemannian Manifolds , 2011, IEEE Transactions on Automatic Control.
[18] Bart Vandereycken,et al. Low-Rank Matrix Completion by Riemannian Optimization , 2013, SIAM J. Optim..
[19] Ben J. A. Kröse,et al. Efficient Greedy Learning of Gaussian Mixture Models , 2003, Neural Computation.
[20] David G. Stork,et al. Pattern Classification , 1973 .
[21] Francis R. Bach,et al. Low-Rank Optimization on the Cone of Positive Semidefinite Matrices , 2008, SIAM J. Optim..
[22] Stephen J. Wright,et al. Numerical Optimization , 2018, Fundamental Statistical Inference.
[23] Radford M. Neal. Pattern Recognition and Machine Learning , 2007, Technometrics.
[24] Geoffrey J. McLachlan,et al. Finite Mixture Models , 2019, Annual Review of Statistics and Its Application.
[25] Ankur Moitra,et al. Settling the Polynomial Learnability of Mixtures of Gaussians , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.
[26] Kevin P. Murphy,et al. Machine learning - a probabilistic perspective , 2012, Adaptive computation and machine learning series.
[27] Sergei Vassilvitskii,et al. k-means++: the advantages of careful seeding , 2007, SODA '07.
[28] Qingqing Huang,et al. Learning Mixtures of Gaussians in High Dimensions , 2015, STOC.
[29] John M. Lee. Introduction to Smooth Manifolds , 2002 .
[30] Daniel Gildea,et al. Convergence of the EM Algorithm for Gaussian Mixtures with Unbalanced Mixing Coefficients , 2012, ICML.
[31] Suvrit Sra,et al. Conic Geometric Optimization on the Manifold of Positive Definite Matrices , 2013, SIAM J. Optim..
[32] Reshad Hosseini,et al. MixEst: An Estimation Toolbox for Mixture Models , 2015, ArXiv.
[33] Renato D. C. Monteiro,et al. Solving Semidefinite Programs via Nonlinear Programming, Part II: Interior Point Methods for a Subclass of SDPs , 1999 .
[34] R. Monteiro,et al. Solving SemideÞnite Programs via Nonlinear Programming Part I: Transformations and Derivatives É , 1999 .
[35] Yair Weiss,et al. "Natural Images, Gaussian Mixtures and Dead Leaves" , 2012, NIPS.
[36] R. Bhatia. Positive Definite Matrices , 2007 .
[37] R. Redner,et al. Mixture densities, maximum likelihood, and the EM algorithm , 1984 .
[38] Sanjoy Dasgupta,et al. Learning mixtures of Gaussians , 1999, 40th Annual Symposium on Foundations of Computer Science (Cat. No.99CB37039).