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» Sublocales in formal topology
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SMI
2007
IEEE
129views Image Analysis» more  SMI 2007»
16 years 1 months ago
Localized Homology
In this paper, we introduce localized homology, a theory for finding local geometric descriptions for topological attributes. Given a space and a cover of subspaces, we construct...
Afra Zomorodian, Gunnar Carlsson
GLOBECOM
2010
IEEE
15 years 4 months ago
Correlation-Resilient Path Selection in Multi-Path Routing
Multi-path routing is effective to enhance network availability, by selecting multiple failure-independent paths for reaching one destination in the hope to survive individual pat...
Xin Zhang, Adrian Perrig
FOCS
2000
IEEE
15 years 10 months ago
Topological Persistence and Simplification
We formalize a notion of topological simplification within the framework of a filtration, which is the history of a growing complex. We classify a topological change that happens ...
Herbert Edelsbrunner, David Letscher, Afra Zomorod...
ECAI
1998
Springer
15 years 11 months ago
Algebraic Topology for Knowledge Representation in Analogy Solving
We propose a computational model for analogy solving based on a topological formalism of representation. The source and the target analogs are represented as simplexes and the anal...
Erika Valencia, Jean-Louis Giavitto, Jean-Paul San...
HICSS
2008
IEEE
130views Biometrics» more  HICSS 2008»
16 years 1 months ago
Enterprise Modeling for Information System Development within MDA
Object-oriented analysis suggests semiformal usecase driven techniques for problem domain modeling from a computation independent viewpoint. The proposed approach called Topologic...
Janis Osis, Erika Asnina