About: Minimizing the Quadratic Training Error of a Sigmoid Neuron is Hard.     Goto   Sponge   NotDistinct   Permalink

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  • We first present a brief survey of hardness results for training feedforward neural networks. These results are then completed by the proof that the simplest architecture containing only a single neuron that applies the standard (logistic) activation function to the weighted sum of n inputs is hard to train. In particular,the problem of finding the weights of such a unit that minimize the relative quadratic training error within 1 or its average (over a training set) within 13/(31n) of its infimum proves...
  • We first present a brief survey of hardness results for training feedforward neural networks. These results are then completed by the proof that the simplest architecture containing only a single neuron that applies the standard (logistic) activation function to the weighted sum of n inputs is hard to train. In particular,the problem of finding the weights of such a unit that minimize the relative quadratic training error within 1 or its average (over a training set) within 13/(31n) of its infimum proves... (en)
Title
  • Minimizing the Quadratic Training Error of a Sigmoid Neuron is Hard.
  • Minimizing the Quadratic Training Error of a Sigmoid Neuron is Hard. (en)
skos:prefLabel
  • Minimizing the Quadratic Training Error of a Sigmoid Neuron is Hard.
  • Minimizing the Quadratic Training Error of a Sigmoid Neuron is Hard. (en)
skos:notation
  • RIV/67985807:_____/01:06010079!RIV/2003/AV0/A06003/N
http://linked.open.../vavai/riv/strany
  • 92;105
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/00/1489), 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
  • 687067
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/01:06010079
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • loading problem; - learning complexity; - NP-hardness; - sigmoid neuron; - back-propagation; - constructive learning (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [2836B0B38739]
http://linked.open...v/mistoKonaniAkce
  • Washington [US]
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Algorithmic Learning Theory.
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...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 3-540-42875-5
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