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TIT
2002
94views more  TIT 2002»
13 years 9 months ago
A generalized uncertainty principle and sparse representation in pairs of bases
An elementary proof of a basic uncertainty principle concerning pairs of representations of vectors in different orthonormal bases is provided. The result, slightly stronger than s...
Michael Elad, Alfred M. Bruckstein
CORR
2011
Springer
205views Education» more  CORR 2011»
13 years 4 months ago
On the algebraic numbers computable by some generalized Ehrenfest urns
This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white ...
Marie Albenque, Lucas Gerin
ML
2002
ACM
123views Machine Learning» more  ML 2002»
13 years 9 months ago
Feature Generation Using General Constructor Functions
Most classification algorithms receive as input a set of attributes of the classified objects. In many cases, however, the supplied set of attributes is not sufficient for creatin...
Shaul Markovitch, Dan Rosenstein
TNN
1998
123views more  TNN 1998»
13 years 9 months ago
A general framework for adaptive processing of data structures
—A structured organization of information is typically required by symbolic processing. On the other hand, most connectionist models assume that data are organized according to r...
Paolo Frasconi, Marco Gori, Alessandro Sperduti
JETAI
2002
57views more  JETAI 2002»
13 years 9 months ago
Contextualizing concepts using a mathematical generalization of the quantum formalism
We outline the rationale and preliminary results of using the State Context Property (SCOP) formalism, originally developed as a generalization of quantum mechanics, to describe t...
Liane Gabora, Diederik Aerts