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On the Super-Turing Computational Power of Non-Uniform Families of Neuromata

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    0404856 - UIVT-O 20020216 RIV CZ eng J - Journal Article
    Wiedermann, Jiří
    On the Super-Turing Computational Power of Non-Uniform Families of Neuromata.
    Neural Network World. Roč. 12, č. 5 (2002), s. 509-516. ISSN 1210-0552.
    [SOFSEM 2002 Workshop on Soft Computing. Milovy, 28.11.2002-29.11.2002]
    R&D Projects: GA ČR GA201/00/1489
    Institutional research plan: AV0Z1030915
    Keywords : neuromata * Turing machines with advice * non-uniform computational complexity * super-Turing computational power
    Subject RIV: BA - General Mathematics

    It is shown that the computational power of non-uniform infinite families of (discrete) neural nets reading their inputs sequentially (so-called neuromata), of polynomial size, equals to PSPACE/poly, and of logarithmic size to LOGSPACE/log. Thus, such families posses super-Turing computational power. From computational complexity point of view the above mentioned results rank the respective families of neuromata among the most powerful computational devices known today.
    Permanent Link: http://hdl.handle.net/11104/0003461

     
     

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