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CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 10 months ago
Large-Scale Convex Minimization with a Low-Rank Constraint
We address the problem of minimizing a convex function over the space of large matrices with low rank. While this optimization problem is hard in general, we propose an efficient...
Shai Shalev-Shwartz, Alon Gonen, Ohad Shamir
IPL
2011
91views more  IPL 2011»
13 years 1 months ago
A note on improving the performance of approximation algorithms for radiation therapy
The segment minimization problem consists of representing an integer matrix as the sum of the fewest number of integer matrices each of which have the property that the non-zeroes...
Therese C. Biedl, Stephane Durocher, Holger H. Hoo...
ISSAC
2007
Springer
106views Mathematics» more  ISSAC 2007»
14 years 1 months ago
Numerical techniques for computing the inertia of products of matrices of rational numbers
Consider a rational matrix, particularly one whose entries have large numerators and denominators, but which is presented as a product of very sparse matrices with relatively smal...
John P. May, B. David Saunders, David Harlan Wood
19
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CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 4 months ago
Fast Approximation Algorithms for Cut-based Problems in Undirected Graphs
We present a general method of designing fast approximation algorithms for cut-based minimization problems in undirected graphs. In particular, we develop a technique that given a...
Aleksander Madry
NIPS
2004
13 years 8 months ago
Hierarchical Eigensolver for Transition Matrices in Spectral Methods
We show how to build hierarchical, reduced-rank representation for large stochastic matrices and use this representation to design an efficient algorithm for computing the largest...
Chakra Chennubhotla, Allan D. Jepson