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Sparsity of Shallow Networks Representing Finite Mappings

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00476509" target="_blank" >RIV/67985807:_____/17:00476509 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-65172-9_29" target="_blank" >http://dx.doi.org/10.1007/978-3-319-65172-9_29</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-65172-9_29" target="_blank" >10.1007/978-3-319-65172-9_29</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Sparsity of Shallow Networks Representing Finite Mappings

  • Original language description

    Limitations of capabilities of shallow networks to represent sparsely real-valued functions on finite domains is investigated. Influence of sizes of function domains and of sizes dictionaries of computational units on sparsity of networks computing finite mappings is explored. It is shown that when dictionary is not sufficiently large with respect to the size of the finite domain, then almost any uniformly randomly chosen function on the domain either cannot be sparsely represented or its computation is unstable.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA15-18108S" target="_blank" >GA15-18108S: Model complexity of neural, radial, and kernel networks</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    EANN 2017

  • ISBN

    978-3-319-65171-2

  • ISSN

    1865-0929

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    337-348

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Athens

  • Event date

    Aug 25, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000454701500029