31 research outputs found

    Universal neural field computation

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    Turing machines and G\"odel numbers are important pillars of the theory of computation. Thus, any computational architecture needs to show how it could relate to Turing machines and how stable implementations of Turing computation are possible. In this chapter, we implement universal Turing computation in a neural field environment. To this end, we employ the canonical symbologram representation of a Turing machine obtained from a G\"odel encoding of its symbolic repertoire and generalized shifts. The resulting nonlinear dynamical automaton (NDA) is a piecewise affine-linear map acting on the unit square that is partitioned into rectangular domains. Instead of looking at point dynamics in phase space, we then consider functional dynamics of probability distributions functions (p.d.f.s) over phase space. This is generally described by a Frobenius-Perron integral transformation that can be regarded as a neural field equation over the unit square as feature space of a dynamic field theory (DFT). Solving the Frobenius-Perron equation yields that uniform p.d.f.s with rectangular support are mapped onto uniform p.d.f.s with rectangular support, again. We call the resulting representation \emph{dynamic field automaton}.Comment: 21 pages; 6 figures. arXiv admin note: text overlap with arXiv:1204.546

    Holistic competence level of Corporate governance bodies in the selection process in the Czech Republic

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    The main objective of the paper has been based on two-phased research to compare the level of holistic competence in selecting the members of governance bodies (Managing Board and Supervisory Board) between the two periods. Holistic competence was defined based on a holistic model of competence by Porvaznik (2008) and implementation of the model was subsequently described in the Corporate Governance based on a study by Taraba, Bartosikova and Bilikova (2014). Using methods of descriptive statistics and spider charts two data files were compared. Data were collected by questionnaire survey conducted among members of the Corporate Governance bodies operating in the Czech Republic in the period from April 2012 to April 2013 (Phase I) and in the period from September 2013 to February 2014 (Phase II.). There is also discussion as a part of paper conclusion which formulates the underlying causes of changes in the holistic assessment of competence in the selection of the members of corporate governance bodies and the recommendations made in this area
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