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SODA
2010
ACM
164views Algorithms» more  SODA 2010»
13 years 2 months ago
Hardness Results for Homology Localization
: © Hardness Results for Homology Localization Chao Chen, Daniel Freedman HP Laboratories HPL-2009-374 algebraic topology, homology, localization We address the problem of localiz...
Chao Chen, Daniel Freedman
CORR
2008
Springer
118views Education» more  CORR 2008»
13 years 3 months ago
Quantifying Homology Classes
We develop a method for measuring homology classes. This involves three problems. First, we define the size of a homology class, using ideas from relative homology. Second, we defi...
Chao Chen, Daniel Freedman
COMBINATORICA
2010
12 years 10 months ago
The homology of a locally finite graph with ends
We show that the topological cycle space of a locally finite graph is a canonical quotient of the first singular homology group of its Freudenthal compactification, and we charact...
Reinhard Diestel, Philipp Sprüssel
CIBCB
2005
IEEE
13 years 9 months ago
The Homology Kernel: A Biologically Motivated Sequence Embedding into Euclidean Space
— Part of the challenge of modeling protein sequences is their discrete nature. Many of the most powerful statistical and learning techniques are applicable to points in a Euclid...
Eleazar Eskin, Sagi Snir
FOCS
2007
IEEE
13 years 7 months ago
Inferring Local Homology from Sampled Stratified Spaces
We study the reconstruction of a stratified space from a possibly noisy point sample. Specifically, we use the vineyard of the distance function restricted to a 1-parameter family...
Paul Bendich, David Cohen-Steiner, Herbert Edelsbr...