Nonconvex stochastic optimization on manifolds via Riemannian Frank-Wolfe methods
暂无分享,去创建一个
[1] Christopher De Sa,et al. Representation Tradeoffs for Hyperbolic Embeddings , 2018, ICML.
[2] Philip Wolfe,et al. An algorithm for quadratic programming , 1956 .
[3] Pierre-Antoine Absil,et al. A Collection of Nonsmooth Riemannian Optimization Problems , 2019, Nonsmooth Optimization and Its Applications.
[4] Nicolas Boumal,et al. Simple Algorithms for Optimization on Riemannian Manifolds with Constraints , 2019, Applied Mathematics & Optimization.
[5] Bamdev Mishra,et al. Riemannian Stochastic Recursive Gradient Algorithm , 2018, ICML 2018.
[6] Douwe Kiela,et al. Poincaré Embeddings for Learning Hierarchical Representations , 2017, NIPS.
[7] Martin Jaggi,et al. Revisiting Frank-Wolfe: Projection-Free Sparse Convex Optimization , 2013, ICML.
[8] Suvrit Sra,et al. Fixed-point algorithms for learning determinantal point processes , 2015, ICML.
[9] Hongyi Zhang,et al. R-SPIDER: A Fast Riemannian Stochastic Optimization Algorithm with Curvature Independent Rate , 2018, ArXiv.
[10] T. Andô. Concavity of certain maps on positive definite matrices and applications to Hadamard products , 1979 .
[11] Neil D. Lawrence,et al. Efficient inference in matrix-variate Gaussian models with \iid observation noise , 2011, NIPS.
[12] Teng Zhang. A Majorization-Minimization Algorithm for Computing the Karcher Mean of Positive Definite Matrices , 2017, SIAM J. Matrix Anal. Appl..
[13] Bamdev Mishra,et al. Manopt, a matlab toolbox for optimization on manifolds , 2013, J. Mach. Learn. Res..
[14] Wen Huang,et al. A Riemannian BFGS Method Without Differentiated Retraction for Nonconvex Optimization Problems , 2018, SIAM J. Optim..
[15] Simon Lacoste-Julien,et al. Convergence Rate of Frank-Wolfe for Non-Convex Objectives , 2016, ArXiv.
[16] C. Udriste,et al. Convex Functions and Optimization Methods on Riemannian Manifolds , 1994 .
[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] Melanie Weber,et al. Neighborhood Growth Determines Geometric Priors for Relational Representation Learning , 2019, AISTATS.
[20] Jie Liu,et al. SARAH: A Novel Method for Machine Learning Problems Using Stochastic Recursive Gradient , 2017, ICML.
[21] Suvrit Sra,et al. First-order Methods for Geodesically Convex Optimization , 2016, COLT.
[22] Martin Jaggi,et al. On the Global Linear Convergence of Frank-Wolfe Optimization Variants , 2015, NIPS.
[23] Francis R. Bach,et al. Low-Rank Optimization on the Cone of Positive Semidefinite Matrices , 2008, SIAM J. Optim..
[24] Louis J. Billera,et al. Geometry of the Space of Phylogenetic Trees , 2001, Adv. Appl. Math..
[25] Hiroyuki Kasai,et al. Riemannian stochastic variance reduced gradient , 2016, SIAM J. Optim..
[26] Alexander J. Smola,et al. Stochastic Frank-Wolfe methods for nonconvex optimization , 2016, 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton).
[27] Suvrit Sra,et al. Fast stochastic optimization on Riemannian manifolds , 2016, ArXiv.
[28] Robert E. Mahony,et al. Optimization Algorithms on Matrix Manifolds , 2007 .
[29] J. Jost. Riemannian geometry and geometric analysis , 1995 .
[30] Alan Edelman,et al. The Geometry of Algorithms with Orthogonality Constraints , 1998, SIAM J. Matrix Anal. Appl..
[31] R. Bhatia. Positive Definite Matrices , 2007 .