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CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 8 months ago
Regression on fixed-rank positive semidefinite matrices: a Riemannian approach
The paper addresses the problem of learning a regression model parameterized by a fixed-rank positive semidefinite matrix. The focus is on the nonlinear nature of the search space...
Gilles Meyer, Silvere Bonnabel, Rodolphe Sepulchre
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 9 months ago
A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices
Abstract--This paper investigates the uniqueness of a nonnegative vector solution and the uniqueness of a positive semidefinite matrix solution to underdetermined linear systems. A...
Meng Wang, Weiyu Xu, Ao Tang
TOMS
2008
96views more  TOMS 2008»
13 years 11 months ago
Block variants of Hammarling's method for solving Lyapunov equations
This paper is concerned with the efficient numerical solution of the Lyapunov equation AT X +XA = -C with a stable matrix A and a symmetric positive semidefinite matrix C of possi...
Daniel Kressner
SODA
2010
ACM
149views Algorithms» more  SODA 2010»
14 years 8 months ago
Sharp kernel clustering algorithms and their associated Grothendieck inequalities
abstract Subhash Khot Assaf Naor In the kernel clustering problem we are given a (large) n ? n symmetric positive semidefinite matrix A = (aij) with n i=1 n j=1 aij = 0 and a (sma...
Subhash Khot, Assaf Naor