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CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 11 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
KELSI
2004
Springer
14 years 1 months ago
A Randomized Algorithm for Distance Matrix Calculations in Multiple Sequence Alignment
Multiple sequence alignment (MSA) is a vital problem in biology. Optimal alignment of multiple sequences becomes impractical even for a modest number of sequences [1] since the gen...
Sanguthevar Rajasekaran, Vishal Thapar, Hardik Dav...
PPSN
2004
Springer
14 years 29 days ago
LS-CMA-ES: A Second-Order Algorithm for Covariance Matrix Adaptation
Abstract. Evolution Strategies, Evolutionary Algorithms based on Gaussian mutation and deterministic selection, are today considered the best choice as far as parameter optimizatio...
Anne Auger, Marc Schoenauer, Nicolas Vanhaecke
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
14 years 2 months ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
STOC
2003
ACM
118views Algorithms» more  STOC 2003»
14 years 8 months ago
A proof of Alon's second eigenvalue conjecture
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...
Joel Friedman