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» On the Complexity of Matrix Rank and Rigidity
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FOCS
2007
IEEE
14 years 1 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
SAC
2008
ACM
13 years 6 months ago
An efficient feature ranking measure for text categorization
A major obstacle that decreases the performance of text classifiers is the extremely high dimensionality of text data. To reduce the dimension, a number of approaches based on rou...
Songbo Tan, Yuefen Wang, Xueqi Cheng
CC
2010
Springer
120views System Software» more  CC 2010»
13 years 4 months ago
Lower Bounds for Agnostic Learning via Approximate Rank
We prove that the concept class of disjunctions cannot be pointwise approximated by linear combinations of any small set of arbitrary real-valued functions. That is, suppose that t...
Adam R. Klivans, Alexander A. Sherstov
NICSO
2010
Springer
13 years 11 months ago
Accelerated Genetic Algorithms with Markov Chains
t] Based on the mutation matrix formalism and past statistics of genetic algorithm, a Markov Chain transition probability matrix is introduced to provide a guided search for comple...
Guan Wang, Chen Chen, Kwok Yip Szeto
PC
2002
158views Management» more  PC 2002»
13 years 7 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch