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CVPR
2007
IEEE
14 years 7 months ago
Trace Ratio vs. Ratio Trace for Dimensionality Reduction
A large family of algorithms for dimensionality reduction end with solving a Trace Ratio problem in the form of arg maxW Tr(WT SpW)/Tr(WT SlW)1 , which is generally transformed in...
Huan Wang, Shuicheng Yan, Dong Xu, Xiaoou Tang, Th...
PC
2007
133views Management» more  PC 2007»
13 years 5 months ago
Data distribution for dense factorization on computers with memory heterogeneity
In this paper, we study the problem of optimal matrix partitioning for parallel dense factorization on heterogeneous processors. First, we outline existing algorithms solving the ...
Alexey L. Lastovetsky, Ravi Reddy
MST
2010
146views more  MST 2010»
13 years 6 days ago
The Cache-Oblivious Gaussian Elimination Paradigm: Theoretical Framework, Parallelization and Experimental Evaluation
We consider triply-nested loops of the type that occur in the standard Gaussian elimination algorithm, which we denote by GEP (or the Gaussian Elimination Paradigm). We present tw...
Rezaul Alam Chowdhury, Vijaya Ramachandran
TCC
2007
Springer
170views Cryptology» more  TCC 2007»
13 years 11 months ago
Secure Linear Algebra Using Linearly Recurrent Sequences
In this work we present secure two-party protocols for various core problems in linear algebra. Our main result is a protocol to obliviously decide singularity of an encrypted matr...
Eike Kiltz, Payman Mohassel, Enav Weinreb, Matthew...