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» Computing persistent homology
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OOPSLA
1999
Springer
15 years 1 months ago
Mostly-copying Reachability-based Orthogonal Persistence
We describe how reachability-based orthogonal persistence can be supported even in uncooperative implementations of languages such as C++ and Modula-3, and without modification t...
Antony L. Hosking, Jiawan Chen
CASC
2006
Springer
100views Mathematics» more  CASC 2006»
15 years 1 months ago
Reducing Computational Costs in the Basic Perturbation Lemma
Homological Perturbation Theory [11, 13] is a well-known general method for computing homology, but its main algorithm, the Basic Perturbation Lemma, presents, in general, high com...
Ainhoa Berciano, María José Jim&eacu...
COMPGEOM
2010
ACM
15 years 2 months ago
Optimal reconstruction might be hard
Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...
Dominique Attali, André Lieutier
85
Voted
GCB
2009
Springer
105views Biometrics» more  GCB 2009»
15 years 4 months ago
Maximum Likelihood Estimation of Weight Matrices for Targeted Homology Search
: Genome annotation relies to a large extent on the recognition of homologs to already known genes. The starting point for such protocols is a collection of known sequences from on...
Peter Menzel, Jan Gorodkin, Peter F. Stadler
DGCI
2005
Springer
15 years 3 months ago
Computation of Homology Groups and Generators
Topological invariants are extremely useful in many applications related to digital imaging and geometric modeling, and homology is a classical one, which has not yet been fully e...
Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs,...