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» On the Complexity of Matrix Rank and Rigidity
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COMPGEOM
2011
ACM
12 years 11 months ago
An output-sensitive algorithm for persistent homology
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...
Chao Chen, Michael Kerber
JC
2002
50views more  JC 2002»
13 years 7 months ago
Verifying Topological Indices for Higher-Order Rank Deficiencies
It has been known how to use computational fixed point theorems to verify existence and uniqueness of a true solution to a nonlinear system of equations within a small region abou...
R. Baker Kearfott, Jianwei Dian
STOC
2009
ACM
271views Algorithms» more  STOC 2009»
14 years 8 months ago
A fast and efficient algorithm for low-rank approximation of a matrix
The low-rank matrix approximation problem involves finding of a rank k version of a m ? n matrix AAA, labeled AAAk, such that AAAk is as "close" as possible to the best ...
Nam H. Nguyen, Thong T. Do, Trac D. Tran
CORR
2010
Springer
124views Education» more  CORR 2010»
13 years 7 months ago
Integer-Forcing Linear Receivers
Abstract--Linear receivers are often used to reduce the implementation complexity of multiple antenna systems. In a traditional linear receiver architecture, the receive antennas a...
Jiening Zhan, Bobak Nazer, Uri Erez, Michael Gastp...
ICC
2007
IEEE
136views Communications» more  ICC 2007»
14 years 1 months ago
Multiple-Symbol Differential Detection Based on Combinatorial Geometry
— In this paper, the application of combinatorial geometry to noncoherent multiple–symbol differential detection (MSDD) is considered. The resulting algorithm is referred to as...
Volker Pauli, Lutz H.-J. Lampe, Robert Schober, Ko...