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Some Implications of Interval Approach to Dimension for Network Complexity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F22%3A00549873" target="_blank" >RIV/67985807:_____/22:00549873 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-030-88817-6_13" target="_blank" >http://dx.doi.org/10.1007/978-3-030-88817-6_13</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-88817-6_13" target="_blank" >10.1007/978-3-030-88817-6_13</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Some Implications of Interval Approach to Dimension for Network Complexity

  • Original language description

    An interval approach to the concept of dimension is presented. Implications of exponentially growing quasiorthogonal dimension for estimates of network complexity are analyzed. Bounds on correlations of computational tasks represented by high-dimensional vectors are derived. Network complexity is explored from the point of view of the concentration of measure phenomenon.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • 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/GA18-23827S" target="_blank" >GA18-23827S: Capabilities and limitations of shallow and deep networks</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2022

  • Confidentiality

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

Data specific for result type

  • Book/collection name

    Computational Intelligence and Mathematics for Tackling Complex Problems 2

  • ISBN

    978-3-030-88816-9

  • Number of pages of the result

    7

  • Pages from-to

    113-119

  • Number of pages of the book

    238

  • Publisher name

    Springer

  • Place of publication

    Cham

  • UT code for WoS chapter