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» Matrix identities and the pigeonhole principle
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AML
2004
78views more  AML 2004»
13 years 5 months ago
Matrix identities and the pigeonhole principle
We show that short bounded-depth Frege proofs of matrix identities, such as P Q = I QP = I (over the field of two elements), imply short bounded-depth Frege proofs of the pigeonho...
Michael Soltys, Alasdair Urquhart
SIAMJO
2011
12 years 8 months ago
Rank-Sparsity Incoherence for Matrix Decomposition
Suppose we are given a matrix that is formed by adding an unknown sparse matrix to an unknown low-rank matrix. Our goal is to decompose the given matrix into its sparse and low-ran...
Venkat Chandrasekaran, Sujay Sanghavi, Pablo A. Pa...
BMCBI
2006
150views more  BMCBI 2006»
13 years 5 months ago
Protein structure similarity from principle component correlation analysis
Background: Owing to rapid expansion of protein structure databases in recent years, methods of structure comparison are becoming increasingly effective and important in revealing...
Xiaobo Zhou, James Chou, Stephen T. C. Wong
ICCV
2007
IEEE
14 years 2 days ago
Multilinear Projection for Appearance-Based Recognition in the Tensor Framework
Numerical multilinear (tensor) algebra is a principled mathematical approach to disentangling and explicitly and parsimoniously representing the essential factors or modes of imag...
M. Alex O. Vasilescu, Demetri Terzopoulos
WWW
2005
ACM
14 years 6 months ago
TruRank: taking PageRank to the limit
PageRank is defined as the stationary state of a Markov chain depending on a damping factor that spreads uniformly part of the rank. The choice of is eminently empirical, and in...
Sebastiano Vigna