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Training a Single Sigmoidal Neuron is Hard.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020147" target="_blank" >RIV/67985807:_____/02:06020147 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Training a Single Sigmoidal Neuron is Hard.

  • Original language description

    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 a sigmoidal activation function sigma:R-->[alpha,beta], satisfying certain natural axioms, e.g. the standard (logistic) sigmoid or saturated-linear 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...

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LN00A056" target="_blank" >LN00A056: Institute of Theoretical Computer Science (Center of Young Science)</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2002

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Neural Computation

  • ISSN

    0899-7667

  • e-ISSN

  • Volume of the periodical

    14

  • Issue of the periodical within the volume

    N/A

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    2709-2729

  • UT code for WoS article

  • EID of the result in the Scopus database