Reinforced walk on graphs and neural networks

Józef Myjak; Ryszard Rudnicki

Studia Mathematica (2008)

  • Volume: 189, Issue: 3, page 255-268
  • ISSN: 0039-3223

Abstract

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A directed-edge-reinforced random walk on graphs is considered. Criteria for the walk to end up in a limit cycle are given. Asymptotic stability of some neural networks is shown.

How to cite

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Józef Myjak, and Ryszard Rudnicki. "Reinforced walk on graphs and neural networks." Studia Mathematica 189.3 (2008): 255-268. <http://eudml.org/doc/285256>.

@article{JózefMyjak2008,
abstract = {A directed-edge-reinforced random walk on graphs is considered. Criteria for the walk to end up in a limit cycle are given. Asymptotic stability of some neural networks is shown.},
author = {Józef Myjak, Ryszard Rudnicki},
journal = {Studia Mathematica},
keywords = {reinforced random walk on graphs; limit cycle; neural network},
language = {eng},
number = {3},
pages = {255-268},
title = {Reinforced walk on graphs and neural networks},
url = {http://eudml.org/doc/285256},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Józef Myjak
AU - Ryszard Rudnicki
TI - Reinforced walk on graphs and neural networks
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 3
SP - 255
EP - 268
AB - A directed-edge-reinforced random walk on graphs is considered. Criteria for the walk to end up in a limit cycle are given. Asymptotic stability of some neural networks is shown.
LA - eng
KW - reinforced random walk on graphs; limit cycle; neural network
UR - http://eudml.org/doc/285256
ER -

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