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An Approach to Stable Gradient Descent Adaptation of Higher-Order Neural Units

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F17%3A00242907" target="_blank" >RIV/68407700:21220/17:00242907 - isvavai.cz</a>

  • Result on the web

    <a href="http://ieeexplore.ieee.org/document/7487017/" target="_blank" >http://ieeexplore.ieee.org/document/7487017/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TNNLS.2016.2572310" target="_blank" >10.1109/TNNLS.2016.2572310</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    An Approach to Stable Gradient Descent Adaptation of Higher-Order Neural Units

  • Original language description

    Stability evaluation of a weight-update system of higher-order neural units (HONUs) with polynomial aggregation of neural inputs (also known as classes of polynomial neural networks) for adaptation of both feedforward and recurrent HONUs by a gradient descent method is introduced. An essential core of the approach is based on spectral radius of a weight-update system, and it allows stability monitoring and its maintenance at every adaptation step individually. Assuring stability of the weight-update system (at every single adaptation step) naturally results in adaptation stability of the whole neural architecture that adapts to target data. As an aside, the used approach highlights the fact that the weight optimization of HONU is a linear problem, so the proposed approach can be generally extended to any neural architecture that is linear in its adaptable parameters

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    20301 - Mechanical engineering

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    IEEE Transactions on Neural Networks and Learning Systems

  • ISSN

    2162-237X

  • e-ISSN

    2162-2388

  • Volume of the periodical

    28

  • Issue of the periodical within the volume

    9

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    13

  • Pages from-to

    2022-2034

  • UT code for WoS article

    000407761500005

  • EID of the result in the Scopus database

    2-s2.0-84973527093