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» Reachability Problems in Low-Dimensional Iterative Maps
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IJFCS
2008
121views more  IJFCS 2008»
14 years 9 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»
14 years 9 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
15 years 11 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