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  • We propose a unifying approach to the analysis of computational aspects of symmetric Hopfield nets which is based on the concept of 'energy source'. Within this framework we present different results concerning the computational power of various Hopfield model classes. It is shown that polynomial-time computations by nondeterministic Turing machines can be reduced to the process of minimizing the energy in Hopfield nets (the MIN ENERGY problem). Furthermore, external and internal sources of energy are distinguished. The external sources include e.g. energizing inputs from so-called Hopfield languages, and also certain external oscillators that prove finite analog Hopfield nets to be computationally Turing universal. On the other hand, the internal source of energy can be implemented by a symmetric clock subnetwork producing an exponential number of oscillations which are used to energize the simulation of convergent asymmetric networks by Hopfield nets. This shows that infinite...
  • We propose a unifying approach to the analysis of computational aspects of symmetric Hopfield nets which is based on the concept of 'energy source'. Within this framework we present different results concerning the computational power of various Hopfield model classes. It is shown that polynomial-time computations by nondeterministic Turing machines can be reduced to the process of minimizing the energy in Hopfield nets (the MIN ENERGY problem). Furthermore, external and internal sources of energy are distinguished. The external sources include e.g. energizing inputs from so-called Hopfield languages, and also certain external oscillators that prove finite analog Hopfield nets to be computationally Turing universal. On the other hand, the internal source of energy can be implemented by a symmetric clock subnetwork producing an exponential number of oscillations which are used to energize the simulation of convergent asymmetric networks by Hopfield nets. This shows that infinite... (en)
Title
  • Energy-Based Computation with Symmetric Hopfield Nets.
  • Energy-Based Computation with Symmetric Hopfield Nets. (en)
skos:prefLabel
  • Energy-Based Computation with Symmetric Hopfield Nets.
  • Energy-Based Computation with Symmetric Hopfield Nets. (en)
skos:notation
  • RIV/67985807:_____/03:06030180!RIV/2004/GA0/A06004/N
http://linked.open.../vavai/riv/strany
  • 45;70
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/01/1192), P(IAB2030007), Z(AV0Z1030915)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 605954
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/03:06030180
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Hopfield network; energy function; computational power; analog state; continuous time (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [063FC47CF40D]
http://linked.open...i/riv/mistoVydani
  • Amsterdam
http://linked.open...vEdiceCisloSvazku
  • NATO Science Series., 186
http://linked.open...i/riv/nazevZdroje
  • Limitations and Future Trends in Neural Computation.
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Šíma, Jiří
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • IOS Press
https://schema.org/isbn
  • 1-58603-324-7
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