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We study optimization of finite sums of geodesically smooth functions on Riemannian manifolds.
A stochastic approximation method
H. Robbins and S. Monro · 1951
Earlier work this paper cites.
Principal components, minor components, and linear neural networks
E. Oja · 1992
Earlier work this paper cites.
Convex functions and optimization methods on Riemannian manifolds , volume 297
C. Udriste · 1994
Earlier work this paper cites.
The geometry of algorithms with orthogonality constraints
A. Edelman, T. A. Arias, and S. T. Smith · 1998
Earlier work this paper cites.
Means and averaging in the group of rotations
M. Moakher · 2002
Earlier work this paper cites.
Optimal linear representations of images for object recognition
X. Liu, A. Srivastava, and K. Gallivan · 2004
Earlier work this paper cites.
Riemannian geometry , volume 171
P. Petersen · 2006
Earlier work this paper cites.
Positive Definite Matrices
R. Bhatia · 2007
Earlier work this paper cites.
Optimization algorithms on matrix manifolds
P.-A. Absil, R. Mahony, and R. Sepulchre · 2009
Earlier work this paper cites.
Simulation and the Monte Carlo method , volume 707
R. Y. Rubinstein and D. P. Kroese · 2011
Earlier work this paper cites.
A survey and comparison of contemporary algorithms for computing the matrix geometric mean
B. Jeuris, R. Vandebril, and B. Vandereycken · 2012
Earlier work this paper cites.
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A. Wiesel · 2012
Earlier work this paper cites.
Non-strongly-convex smooth stochastic approximation with convergence rate o (1/n)
F. Bach and E. Moulines · 2013
Earlier work this paper cites.
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