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The Power of Extra Analog Neuron

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    0431209 - ÚI 2015 RIV CH eng C - Conference Paper (international conference)
    Šíma, Jiří
    The Power of Extra Analog Neuron.
    Theory and Practice of Natural Computing. Cham: Springer, 2014 - (Dediu, A.; Lozano, M.; Martín-Vide, C.), s. 243-254. Theoretical Computer Science and General Issues, 8890. ISBN 978-3-319-13748-3. ISSN 0302-9743.
    [TPNC 2014. International Conference on the Theory and Practice of Natural Computing /3./. Granada (ES), 09.12.2014-11.12.2014]
    R&D Projects: GA ČR GAP202/10/1333
    Institutional support: RVO:67985807
    Keywords : neural computing * analog state * beta-expansion
    Subject RIV: IN - Informatics, Computer Science

    In the effort to refine the analysis of computational power of neural nets between integer and rational weights we study a hybrid binary-state network with an extra analog unit. We introduce a finite automaton with a register which is shown to be computationally equivalent to such a network. The main result is a sufficient condition for a language accepted by this automaton to be regular which is based on the new concept of a quasi-periodic power series. These preliminary results suggest an interesting connection with the active research field on the expansions of numbers in non-integer bases which seems to be a fruitful area for further research including many important open problems.
    Permanent Link: http://hdl.handle.net/11104/0235799

     
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