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» Computing persistent homology
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OOPSLA
1999
Springer
15 years 8 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 8 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 9 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
GCB
2009
Springer
105views Biometrics» more  GCB 2009»
15 years 11 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 10 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,...