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» Reachability Problems in Low-Dimensional Iterative Maps
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IJFCS
2008
121views more  IJFCS 2008»
13 years 4 months ago
Reachability Problems in Low-Dimensional Iterative Maps
In this paper we analyse the dynamics of one-dimensional piecewise maps (PAMs). We show that one-dimensional PAMs are equivalent to pseudo-billiard or so called "strange billi...
Oleksiy Kurganskyy, Igor Potapov, Fernando Sancho-...
SIAMSC
2008
167views more  SIAMSC 2008»
13 years 4 months ago
Low-Dimensional Polytope Approximation and Its Applications to Nonnegative Matrix Factorization
In this study, nonnegative matrix factorization is recast as the problem of approximating a polytope on the probability simplex by another polytope with fewer facets. Working on th...
Moody T. Chu, Matthew M. Lin
CVPR
2007
IEEE
14 years 6 months ago
The Hierarchical Isometric Self-Organizing Map for Manifold Representation
We present an algorithm, Hierarchical ISOmetric SelfOrganizing Map (H-ISOSOM), for a concise, organized manifold representation of complex, non-linear, large scale, high-dimension...
Haiying Guan, Matthew Turk