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ENTCS
2006
101views more  ENTCS 2006»
15 years 6 months ago
Towards "Dynamic Domains": Totally Continuous Cocomplete Q-categories
It is common practice in both theoretical computer science and theoretical physics to describe the (static) logic of a system by means of a complete lattice. When formalizing the d...
Isar Stubbe
CG
2007
Springer
15 years 6 months ago
Interactive function-based shape modelling
In this paper we address interactive shape modelling of geometric shapes defined by mathematical functions. We introduce mathematical operators that implement modifications of g...
Konstantin Levinski, Alexei Sourin
IJON
2006
99views more  IJON 2006»
15 years 6 months ago
Learning vector quantization: The dynamics of winner-takes-all algorithms
Winner-Takes-All (WTA) prescriptions for Learning Vector Quantization (LVQ) are studied in the framework of a model situation: Two competing prototype vectors are updated accordin...
Michael Biehl, Anarta Ghosh, Barbara Hammer
CORR
2007
Springer
93views Education» more  CORR 2007»
15 years 6 months ago
Intrinsic dimension of a dataset: what properties does one expect?
— We propose an axiomatic approach to the concept of an intrinsic dimension of a dataset, based on a viewpoint of geometry of high-dimensional structures. Our first axiom postul...
Vladimir Pestov
JFP
2008
67views more  JFP 2008»
15 years 6 months ago
Efficient execution in an automated reasoning environment
We describe a method that permits the user of a mechanized mathematical logic to write elegant logical definitions while allowing sound and efficient execution. In particular, the...
David A. Greve, Matt Kaufmann, Panagiotis Manolios...