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» The topology of the independence complex
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GECCO
2009
Springer
118views Optimization» more  GECCO 2009»
14 years 4 months ago
The impact of network topology on self-organizing maps
In this paper, we study instances of complex neural networks, i.e. neural networks with complex topologies. We use Self-Organizing Map neural networks whose neighborhood relations...
Fei Jiang, Hugues Berry, Marc Schoenauer
SIAMCOMP
2011
13 years 4 months ago
The Complexity of Early Deciding Set Agreement
Set agreement, where processors decisions constitute a set of outputs, is notoriously harder to analyze than consensus where the decisions are restricted to a single output. This ...
Eli Gafni, Rachid Guerraoui, Bastian Pochon
PVM
1997
Springer
14 years 2 months ago
Message-Passing Program Development by Ensemble
We present Ensemble, a message-passing implementation methodology, applied to PVM. Ensemble overcomes problems and complexities in developing applications in messagepassing enviro...
John Yiannis Cotronis
COMPGEOM
2011
ACM
13 years 1 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
FOCS
2000
IEEE
14 years 1 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...