" secret sharing schemes" . . . "Vysoce strukturovan\u00E9 distribuce v um\u011Bl\u00E9 inteligenci, kryptografii a kombinatorice" . . "Byly d\u00E1le rozv\u00EDjeny kalkuly pro popis neur\u010Ditosti pro konstrukci model\u016F zalo\u017Een\u00FDch na vysoce strukturovan\u00FDch distribuc\u00EDch. Nov\u00E9 v\u00FDsledky byly dosa\u017Eeny zejm\u00E9na pro struktury podm\u00EDn\u011Bn\u00E9 nez\u00E1vislosti, exponenci\u00E1ln\u00ED rodiny a entropick\u00E9 funkce."@cs . . " polxymatroids" . "2007-09-26+02:00"^^ . "highly structured distributions; conditional independence relations; secret sharing schemes; shannon entropy; polxymatroids; calculi of AI"@en . "highly structured distributions" . "24"^^ . " shannon entropy" . . "24"^^ . . . . . . "Modern\u00ED aplikace kalkul\u016F pro popis neur\u010Ditosti a mnohorozm\u011Brn\u00E9 statistiky se op\u00EDraj\u00ED o modely pracuj\u00EDc\u00ED s vysoce strukturovan\u00FDmi distribucemi. Jako nepostradateln\u00E1 se jev\u00ED znalost o konstruov\u00E1n\u00ED t\u011Bchto distribuc\u00ED jak z r\u016Fznorod\u00FDch dat, tak tak\u00E9 z kvalitativn\u00ED expertn\u00ED informace o grafech, podm\u00EDn\u011Bn\u00E9 nez\u00E1vislosti a entropick\u00FDch funkc\u00EDch. Odpov\u00EDdaj\u00EDc\u00ED matematick\u00E9 modely budou p\u0159edm\u011Btem teoretick\u00E9ho v\u00FDzkumu sm\u011Bs\u00ED metod teorie pravd\u011Bpodobnosti, statistiky, kombinatoriky (teorie graf\u016F, matroid\u016F a polymatroid\u016F) a aplikovan\u00E9 algebry. O\u010Dek\u00E1van\u00E9 v\u00FDsledky budou pou\u017Eity tak\u00E9 v kryptografick\u00FDch sch\u00E9matech pro sd\u00EDlen\u00ED tajemstv\u00ED a k vyjasn\u011Bn\u00ED n\u011Bkter\u00FDch aplikac\u00ED pravd\u011Bpodobnostn\u00ED metody v kombinatorice." . . "Highly structured distributions in artificial intelligence, cryptography and combinatorics"@en . . "IAA1075104" . . "Modern applications of calculi for dealing with uncertainty and of multivariate statistics rely on highly structured distributions. The knowledge how to construct the distributions both from heterogeneous data comming from diferent sources and from expert knowledge in form of graphs, conditional independence constraints and entropic functions is crucial. We suggest to analyze related mathematical models using methodology of modern probability theory, statistics, combinatorics (graphs, matroids, polymatroids), and applied algebra. The expected results are to be encorporated into the secret sharing schemes of cryptography and in the probabilistics method known in combinatorics."@en . . . . . "0"^^ . "http://www.isvav.cz/projectDetail.do?rowId=IAA1075104"^^ . "This project has progressed in modern calculi for description of uncertainty, used in models based on highly-structured distributions. New results are within the field of conditional independence structures, exponential families and entropic functions."@en . "0"^^ . " conditional independence relations" . . "1"^^ . . .