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National Repository of Grey Literature

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	Využití Hilbertovy báze k ověření shodnosti strukturálních a kombinatorických imsetů Šimeček, Petr ; Studený, Milan Práce zkoumá hypotézu shodnosti strukturálních a kombinatorických imsetů v případě čtyř či méně veličin. Detailed record
	Classes of Gaussian, Discrete and Binary Representable Independence Models Have No Finite Characterization Šimeček, Petr The paper shows that there is no finite set of forbidden minors which characterizes classes of independence models that are representable by Gaussian, discrete and binary distributions, respectively. Detailed record
	Rozklad pravděpodobnostních tabulek representujících boolovské funkce Vomlel, Jiří We apply tensor rank-one decompositionnto conditional probability tables representing Boolean functions. We present a numerical algorithm that can be used to find a minimal tensor rank-one decomposition together with the results of the experiments performed using the proposed algorithm. We pay special attention to a family of Boolean functions that are common in probabilistic models from practice - monotone and symmetric Boolean functions. Detailed record
	The use of the concept of Hilbert base to verify a hypothesis about coincidence of structural and combinatorial imsets Šimeček, P. ; Studený, Milan The topic of the contribution is computer experiments whose aim is to confirm or refuse a hypothesis about coincidence of two special classes of integral vectors, called structural and combinatorial imsets. This question is closely related to the task of finding so-called minimal integral Hilbert basis of a certain rational convex cone. Detailed record

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