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» Topological Interpretation of Crossover
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ISBI
2011
IEEE
12 years 11 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»
13 years 7 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»
13 years 7 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
14 years 8 months 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»
13 years 7 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