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SIGIR
2008
ACM
15 years 3 months ago
Posterior probabilistic clustering using NMF
We introduce the posterior probabilistic clustering (PPC), which provides a rigorous posterior probability interpretation for Nonnegative Matrix Factorization (NMF) and removes th...
Chris H. Q. Ding, Tao Li, Dijun Luo, Wei Peng
FOCS
2008
IEEE
15 years 3 months ago
Matrix Sparsification for Rank and Determinant Computations via Nested Dissection
The nested dissection method developed by Lipton, Rose, and Tarjan is a seminal method for quickly performing Gaussian elimination of symmetric real positive definite matrices who...
Raphael Yuster
CORR
2011
Springer
209views Education» more  CORR 2011»
14 years 6 months ago
Analysis and Improvement of Low Rank Representation for Subspace segmentation
We analyze and improve low rank representation (LRR), the state-of-the-art algorithm for subspace segmentation of data. We prove that for the noiseless case, the optimization mode...
Siming Wei, Zhouchen Lin
BMCBI
2007
174views more  BMCBI 2007»
15 years 3 months ago
Normalization method for metabolomics data using optimal selection of multiple internal standards
Background: Success of metabolomics as the phenotyping platform largely depends on its ability to detect various sources of biological variability. Removal of platform-specific so...
Marko Sysi-Aho, Mikko Katajamaa, Laxman Yetukuri, ...
JSC
2006
85views more  JSC 2006»
15 years 3 months ago
Fraction-free row reduction of matrices of Ore polynomials
In this paper we give formulas for performing row reduction of a matrix of Ore polynomials in a fraction-free way. The reductions can be used for finding the rank and left nullspa...
Bernhard Beckermann, Howard Cheng, George Labahn