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» Topological Interpretation of Crossover
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ISBI
2011
IEEE
14 years 2 months ago
Discriminative persistent homology of brain networks
It is known that the brain network has small-world and scalefree topology, but the network structures drastically change depending on how to threshold a connectivity matrix. The e...
Hyekyoung Lee, Moo K. Chung, Hyejin Kang, Bung-Nyu...
APAL
2006
76views more  APAL 2006»
14 years 11 months ago
Non-primitive recursive decidability of products of modal logics with expanding domains
We show that--unlike products of `transitive' modal logics which are usually undecidable-their `expanding domain' relativisations can be decidable, though not in primiti...
David Gabelaia, Agi Kurucz, Frank Wolter, Michael ...
JMIV
1998
93views more  JMIV 1998»
14 years 11 months ago
Connectivity on Complete Lattices
Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A non topological axiomatics has been proposed by Matheron and Serra. The present pa...
Jean Serra
ICML
1995
IEEE
16 years 18 hour ago
Visualizing High-Dimensional Structure with the Incremental Grid Growing Neural Network
Understanding high-dimensional real world data usually requires learning the structure of the data space. The structure maycontain high-dimensional clusters that are related in co...
Justine Blackmore, Risto Miikkulainen
DAM
2008
123views more  DAM 2008»
14 years 11 months ago
Ultrametrics, Banach's fixed point theorem and the Riordan group
We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamic...
Ana Luzón, Manuel A. Morón