RNDr. Milan Studený, DrSc.
senior research fellow

Department:
Department of Decision-Making Theory
Research interests:
Probabilistic conditional independence structures, conditional independence in context uncertainty calculi in AI, graphical statistical models (Bayesian networks, chain graphs), methods of polyhedral geometry in coalitional game theory, information-theoretical inequalities for entropic function (study of the entropic region), algebraic statistics.
Biography
Publication list
Education
- (1976 - 1981) graduate diploma, Charles University, Faculty of Mathematics and Physics, Prague.
Thesis topic: The differentiation of measures in metric spaces. (in Czech, under guidance of David Preiss). - (1982 - 1983) stay at university, Charles University, Faculty of Mathematics and Physics, Prague. Research in real analysis under guidance of David Preiss.
- (1983 - 1986) doctoral studies (for CSc. degree), specialization: theoretical cybernetics. Czechoslovak Academy of Sciences, Institute of Information Theory and Automation, Prague. Thesis topic: The notion of multiinformation in probabilistic decision making (in Czech, under guidance of Albert Perez).
- (2001) DrSc. degree, specialization: mathematical informatics and theoretical cybernetics.
Academy of Sciences of the Czech Republic. Thesis topic: On mathematical description of probabilistic conditional independence structures.
Employment
- (1982 - 1983) stay at Charles University, see above.
- (1983 - 1986) doctoral studies, see above.
- (1987 - 1991) research worker, Czechoslovak Academy of Sciences, Institute of Information Theory and Automation (ÚTIA), Czechoslovakia.
- (1996 - 2000) partially, external research worker, University of Economics, Prague, Faculty of Informatics and Statistics, Laboratory of Intelligent Systems, Prague, Czech Republic.
- (1991 - present) senior research worker, Academy of Sciences of the Czech Republic, ÚTIA, Department of Decision-Making Theory (MTR), Czech Republic.
- (2003 - 2004) head of MTR, ÚTIA, Czech Republic.
Research projects lead in the role of PI
- Conditional independence properties in uncertainty processing. Internal grant n. 275105 of Academy of Sciences of the Czech Republic (1993–1995).
- (in the role of co-PI) Marginal problem and its applications. Grant n. 201/94/0471 of the Grant Agency of the Czech Republic (1994–1996).
- Conditional independence structures: information theoretical approach. Grant n. 201/98/0478 of the Grant Agency of the Czech Republic (1998).
- Conditional independence structures: information theoretical approach II. Grant n. 201/01/1482 of the Grant Agency of the Czech Republic (2001–2003).
- Conditional independence structures: information theoretical approach III. Grant n. 201/04/0393 of the Grant Agency of the Czech Republic (2004–2006).
- Conditional independence structures: graphical and algebraic approaches. Grant n. 201/08/0539 of the Grant Agency of the Czech Republic (2008–2012).
- Conditional independence structures: algebraic and geometric methods. Grant n. 13-20012S of the Czech Science Foundation (new name for the Grant Agency of the Czech Republic) (2013–2015).
- Conditional independence structures: combinatorial and optimization methods. Grant n. 16-12010S of the Czech Science Foundation (2016–2018).
- Conditional independence structures: methods of polyhedral geometry. Grant n. 19-04579S of the Czech Science Foundation (2019–2021).
Educational activities (in cooperation with either Charles University or Czech Technical University in Prague):
- supervisor of a PhD student Petr Šimeček (2004–2006). Thesis title: Graphical models and conditional independence structures (in Czech). Charles University, Faculty of Mathematics and Physics. Defended in September 2007.
- supervisor of diploma student J. Fontán. Thesis title: Conditional independence structures in directed graphs (in Czech). Czech Technical University in Prague, Faculty of Nuclear Science and Physical Engineering, 1996.
- supervisor of diploma student M. Volf. Thesis title: Independency models induced by chain graphs. (in Czech). Czech Technical University in Prague, Faculty of Nuclear Science and Physical Engineering, 1998.
- supervisor of diploma student Š. Štěpánová. Thesis title: Equivalence of chain graphs (in Czech). Charles University, Faculty of Mathematics and Physics, Prague 2003.
- supervisor of diploma student E. Beljayeva. Thesis title: Annotated graphs and Bayesian networks. Charles University, Faculty of Mathematics and Physics, Prague 2015.
- supervisor of a bachelor student J. Zouhar. Thesis title: Recursive linear models and conditional independence structures (in Czech). Charles University, Faculty of Mathematics and Physics, Prague 2010.
- lecturing an optional one-term course "Conditional Independence Structures" for MSc students. Charles University, Faculty of Mathematics and Physics, Prague (since 2003 until now, sometimes in English)
- supervising "Seminar on Probability for PhD students I." Charles University, Faculty of Mathematics and Physics, Prague (autumn 2012, autumn 2016)
- mentor of a PhD student Vera Djordjilovič from Padua University, Italy during her stay at Institute of Information Theory and Automation (August–December 2013, October 2014)
- external examiner of PhD thesis (K. Sadeghi), Oxford University, UK (January 2012)
reviewer of PhD thesis (T. Boege), Otto-von-Guericke-Universität Magdeburg, Germany (April 2022)
More details on publications and organizational activities can be found on the personal web (see the link above).
Books and chapters
- Conditional Independence and Basic Markov Properties, Handbook of Graphical Models, p. 3-38, Eds: Maathuis Marloes, Drton Mathias, Lauritzen Steffen, Wainwright Martin Download [2018] :
- Polyhedral approaches to learning Bayesian networks, Algebraic and Geometric Methods in Discrete Mathematics, p. 155-188, Eds: Harrington H. A., Omar M., Wright M. DOI: 10.1090/conm/685/13751 [2017] :
- Graphical and Algebraic Representatives of Conditional Independence Models, Advances in Probabilistic Graphical Models, p. 55-80, Eds: Lucas Peter, Gámez José A., Salmerón Antonio [2007] :
- Probabilistic Conditional Independence Structures, Springer (London, 2005) [2005] :
- Other approaches to the description of conditional independence structures, Highly Structured Stochastic Systems, p. 106-108, Eds: Green P. J., Hjort N. L., Richardson S., Oxford University Press (New York, 2003) [2003] :
- On multiinformation function as a tool for measuring stochastic dependence, Learning in Graphical Models, p. 261-297, Kluwer Academic (Dordrecht, 1998) [1998] :
- Description of Conditional Independence Structures by Means of Imsets: A Connection with Product Formula Validity, Uncertainty in Intelligent Systems, p. 179-194, Eds: Bouchon-Meunier B., Valverde L., Yager R. R., Elsevier (Amsterdam, 1993) [1993] :
Journal articles
- Self-adhesivity in lattices of abstract conditional independence models, Discrete Applied Mathematics 361 1 (2025), p. 196-225 Download Download DOI: 10.1016/j.dam.2024.10.006 [2025] :
- Facets of the cone of exact games, Mathematical Methods of Operations Research 95 1 (2022), p. 35-80 Download Download DOI: 10.1007/s00186-022-00770-4 [2022] :
- Conditional independence structures over four discrete random variables revisited: conditional Ingleton inequalities, IEEE Transactions on Information Theory 67 11 (2021), p. 7030-7049 Download Download DOI: 10.1109/TIT.2021.3104250 [2021] :
- The dual polyhedron to the chordal graph polytope and the rebuttal of the chordal graph conjecture, International Journal of Approximate Reasoning 138 1 (2021), p. 188-203 Download Download DOI: 10.1016/j.ijar.2021.07.014 [2021] :
- Contribution of František Matúš to the research on conditional independence, Kybernetika 56 5 (2020), p. 850-874 Download Download DOI: 10.14736/kyb-2020-5-0850 [2020] :
- Facets of the cone of totally balanced games, Mathematical Methods of Operations Research 90 2 (2019), p. 271-300 Download Download DOI: 10.1007/s00186-019-00672-y [2019] :
- Linear criterion for testing the extremity of an exact game based on its finest min-representation, International Journal of Approximate Reasoning 101 1 (2018), p. 49-68 Download DOI: 10.1016/j.ijar.2018.06.007 [2018] :
- Towards using the chordal graph polytope in learning decomposable models, International Journal of Approximate Reasoning 88 1 (2017), p. 259-281 Download DOI: 10.1016/j.ijar.2017.06.001 [2017] :
- Polyhedral aspects of score equivalence in Bayesian network structure learning, Mathematical Programming 164, p. 285-324 Download DOI: 10.1007/s10107-016-1087-2 [2017] :
- Core-based criterion for extreme supermodular functions, Discrete Applied Mathematics 206 1 (2016), p. 122-151 Download DOI: 10.1016/j.dam.2016.01.019 [2016] :
- A linear-algebraic tool for conditional independence inference, Journal of Algebraic Statistics 6 2 (2015), p. 150-167 Download DOI: 10.18409/jas.v6i2.46 [2015] :
- Learning Bayesian network structure: towards the essential graph by integer linear programming tools, International Journal of Approximate Reasoning 55 4 (2014), p. 1043-1071 Download DOI: 10.1016/j.ijar.2013.09.016 [2014] :
- On polyhedral approximations of polytopes for learning Bayesian networks, Journal of Algebraic Statistics 4 1 (2013), p. 59-92 Download [2013] :
- Characteristic imsets for learning Bayesian network structure, International Journal of Approximate Reasoning 53 9 (2012), p. 1336-1349 Download DOI: 10.1016/j.ijar.2012.04.001 [2012] :
- On open questions in the geometric approach to structural learning Bayesian nets, International Journal of Approximate Reasoning 52 5 (2011), p. 627-640 Download DOI: 10.1016/j.ijar.2010.09.004 [2011] :
- Efficient algorithms for conditional independence inference, Journal of Machine Learning Research 11 1 (2010), p. 3453-3479 Download [2010] :
- A geometric view on learning Bayesian network structures, International Journal of Approximate Reasoning 51 5 (2010), p. 578-586 Download DOI: 10.1016/j.ijar.2010.01.014 [2010] :
- Two operations of merging and splitting components in a chain graph, Kybernetika 45 2 (2009), p. 208-248 Download [2009] :
- A reconstruction algorithm for the essential graph, International Journal of Approximate Reasoning 50 2 (2009), p. 385-413 Download DOI: 10.1016/j.ijar.2008.09.001 [2009] :
- Comparison of two methods for approximation of probability distributions with prescribed marginals, Kybernetika 43 5 (2007), p. 591-618 Download [2007] :
- Racing algorithms for conditional independence inference, International Journal of Approximate Reasoning 45 2 (2007), p. 386-401 Download [2007] :
- A graphical representation of equivalence classes of AMP chain graphs, Journal of Machine Learning Research 7 6 (2006), p. 1045-1078 Download [2006] :
- Characterization of inclusion neighbourhood in terms of the essential graph, International Journal of Approximate Reasoning 38 3 (2005), p. 283-309 Download [2005] :
- Characterization of essential graphs by means of the operation of legal merging of components, International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 12, p. 43-62 [2004] :
- Chain graph models and their causal interpretations - discussion on the paper by Lauritzen and Richardson, Journal of the Royal Statistical Society Series B-Statistical Methodology 64 3 (2002), p. 358 [2002] :
- On stochastic conditional independence: the problems of characterization and description, Annals of Mathematics and Artificial Intelligence 35, p. 323-341 [2002] :
- Representation of irrelevance relations by annotated graphs, Fundamenta Informaticae 42 1 (2000), p. 149-199 [2000] :
- A graphical characterization of the largest chain graphs, International Journal of Approximate Reasoning 20 3 (1999), p. 209-236 [1999] :
- On chain graph models for description of conditional independence structures, Annals of Statistics 26 4 (1998), p. 1434-1495 [1998] :
- A recovery algorithm for chain graphs, International Journal of Approximate Reasoning 17 213 (1997), p. 265-293 [1997] :
- Semigraphoids and structures of probabilistic conditional independence, Annals of Mathematics and Artificial Intelligence 21 1 (1997), p. 71-98 [1997] :
- Information-theoretic Approach to Constitution and Reduction of Medical Data, International Journal of Medical Informatics 45, p. 65-74 DOI: 10.1016/S1386-5056(97)00036-1 [1997] :
- Conditional independences among four random variables I, Combinatorics, Probability and Computing 4, p. 269-278 [1995] :
- Description of structures of stochastic conditional independence by means of faces and imsets. 2nd part: basic theory. , International Journal of General Systems 23 3 (1995), p. 201-219 [1995] :
- Description of structures of stochastic conditional independence by means of faces and imsets. 3rd part: examples of use and appendices, International Journal of General Systems 23 4 (1995), p. 323-341 [1995] :
- Conditional independence and natural conditional functions, International Journal of Approximate Reasoning 12 1 (1995), p. 43-68 [1995] :
- Description of structures of stochastic conditional independence by means of faces and imsets. 1st part: introduction and basic concepts, International Journal of General Systems 23 2 (1994), p. 123-137 [1994] :
- Structural semigraphoids, International Journal of General Systems 22 2 (1994), p. 207-217 [1994] :
- On set-valued measures, Informatica 4, p. 21-44 [1993] :
- Convex Cones in Finite-Dimensional Real Vector Spaces, Kybernetika 29 2 (1993), p. 180-200 [1993] :
- Comment on "A Unique Formal System for Binary Decompositions of Database Relations, Probability Distributions, and Graphs", Information Sciences 63, p. 1-2 [1992] :
- Multiinformation and the Problem of Characterization of Conditional Independence Relations, Problems of Control and Information Theory 18 1 (1989), p. 3-16 [1989] :
- Attempts at Axiomatic Description of Conditional Independence, Kybernetika 25 3 (1989), p. 72-79 [1989] :
Other publications
- On combinatorial descriptions of faces of the cone of supermodular functions, UTIA AV CR (Praha, 2024) Download Download [2024] :
- Dual formulation of the chordal graph conjecture, Proceedings of Machine Learning Research, Volume 138: International Conference on Probabilistic Graphical Models, 23-25 September 2020, Hotel Comwell Rebild Bakker, Skørping, Denmark, p. 449-460, Eds: Nielsen T. D., Jaeger M. Download [2021] :
- On irreducible min-balanced set systems, Symbolic and Quantitative Approaches to Reasoning with Uncertainty : 15th European Conference, ECSQARU 2019, Belgrade, Serbia, September 18-20, 2019, p. 444-454, Eds: Kern-Isberner G., Ognjanovic Z. Download DOI: 10.1007/978-3-030-29765-7_37 [2019] :
- On attempts to characterize facet-defining inequalities of the cone of exact games, Proceedings of the 11th Workshop on Uncertainty Processing (WUPES’18), p. 177-187, Eds: Kratochvíl Václav, Vejnarová Jiřina Download [2018] :
- Linear core-based criterion for testing extreme exact games, Proceedings of the 10th International Symposium on Imprecise Probability: Theories and Applications, p. 313-324, Eds: Antonucci A., Corani G., Couso I., Destercke S. Download [2017] :
- Basic facts concerning extreme supermodular functions, ÚTIA AV ČR v.v.i (Praha, 2016) Download [2016] :
- The chordal graph polytope for learning decomposable models, Proceedings of the Eighth International Conference on Probabilistic Graphical Models, p. 499-510, Eds: Antonucci A., Corani G., Polpo de Campos C. Download DOI: 10.1016/j.ijar.2017.06.001 [2016] :
- How matroids occur in the context of learning Bayesian network structure, Uncertainty in Artificial Intelligence, Proceedings of the Thirty-First Conference (2015), p. 832-841 Download [2015] :
- Integer linear programming approach to learning Bayesian network structure: towards the essential graph, Proceedings of the 6th European Workshop on Graphical Models, p. 307-314 Download [2012] :
- LP relaxations and pruning for characteristic imsets, ÚTIA AVČR (Praha, 2012) Download [2012] :
- Polyhedral approach to statistical learning graphical models, Harmony of Gröbner Bases and the Modern Industrial Society, p. 346-372 Download DOI: 10.1142/9789814383462_0020 [2012] :
- On polyhedral approximations of polytopes for learning Bayes nets, ÚTIA AV ČR (Praha, 2011) Download [2011] :
- Characteristic imset: a simple algebraic representative of a Bayesian network structure, Proceedings of the 5th European Workshop on Probabilistic Graphical Models (PGM 2010), p. 257-264, Eds: Myllymaki Petri, Roos Teemu, Jaakkola Tommi Download [2010] :
- Polyhedral approach to statistical learning graphical models, Abstracts of The 2nd CREST-SBM International Conference on Harmony of Groebner Bases and the Moderm Industrial Socienty, p. 1-4 Download [2010] :
- On open questions in the geometric approach to learning BN structures, WUPES'09, p. 226-236, Eds: Kroupa T., Vejnarová J. Download [2009] :
- Mathematical aspects of learning Bayesian networks: Bayesian quality criteria, ÚTIA AV ČR, v.v.i (Praha, 2008) Download [2008] :
- A Geometric Approach to Learning BN Structures, Proceedings of the Fourth European Workshop on Probabilistic Graphical Models (PGM'08), p. 281-288, Eds: Jaeger Manfred, Nielsen Thomas D. Download [2008] :
- An evaluation of string similarity measures on pricelists of computer components, Proceedings of Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /10./, p. 1-6, Eds: Kroupa T., Vejnarová J. [2007] :
- Using imsets for learning Bayesian networks, Proceedings of Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty /10./, p. 178-189, Eds: Kroupa T., Vejnarová J. [2007] :
- Proceedings of the 3th European Workshop on Probabilistic Graphical Models, Agentura Action M (Praha, 2006) [2006]
- An algeraic approach to structural learning Bayesian networks, IPMU 2006. Information Processing and Management of Uncertainty in Knowledge-Based Systems, p. 2284-2291, Eds: Bouchon-Meunier B., Yager R. R. [2006] :
- Decision support system for comparison of price lists, Proceedings of the 8th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, p. 32-38, Eds: Kroupa T., Vejnarová J., Oeconomica (Praha, 2005) [2005] :
- Racing for conditional independence inference, Proceedings of the 8th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty 3571, p. 221-232 [2005] :
- Comparsion of Two Methods for Approximation of Probability Distributions with Prescribed Marginals, ÚTIA AV ČR (Praha, 2005) [2005] :
- Two Operations of Merging Components in a Chain Graph, ÚTIA AV ČR (Praha, 2005) [2005] :
- A Graphical Representation of Equivalence Classes of AMP Chain Graphs, ÚTIA AV ČR (Praha, 2005) [2005] :
- Využití pojmu Hilbertovy báze pro ověřování hypotézy o shodnosti strukturálních a kombinatorických imsetů, Sborník prací 13. letní školy JČMF ROBUST 2004, p. 395-401, Eds: Antoch J., Dohnal G., JČMF (Praha, 2004) [2004] :
- Transition between graphical and algebraic representatives of Bayesian network models, Proceedings of the Second European Workshop on Probabilistic Graphical Models, p. 193-200 [2004] :
- Structural imsets: an algebraic method for describing conditional independence structures, Proceedings of the Tenth International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, p. 1323-1330 [2004] :
- Využití Hilbertovy báze k ověření shodnosti strukturálních a kombinatorických imsetů, Sborník ROBUST 2004, p. 395-402, Eds: Antoch J., Dohnal G. [2004] :
- Characterization of inclusion neighbourhood in terms of the essential graph: Lower neighbours, Proceedings of the 6th Workshop on Uncertainty Processing, p. 243-262, University of Economics (Prague, 2003) [2003] :
- Characterization of inclusion neighbourhood in terms of the essential graph: upper neighbours, Symbolic and Quantitative Approaches to Reasoning with Uncertainty. European Conference, p. 161-172, Eds: Nielsen T. D., Zhang N. L., Springer (Berlin, 2003) [2003] :
- O použití řetězcových grafů pro popis struktur podmíněné nezávislosti, ROBUST'2002. Sborník prací dvanácté zimní školy JČMF, p. 292-314, Eds: Antoch J., Dohnal G., Klaschka J., JČMF (Praha, 2002) [2002] :
- Characterization of essential graphs by means of an operation of legal component merging, Proceedings of the First European Workshop on Probabilistic Graphical Models, p. 161-168, Eds: Gamez J. A., Salmeron A., University of Castilla (Cuenca, 2002) [2002] :
- On methods of description of conditional independence structures. Abstract, Abstracts of the 24th European Meeting of Statisticians & 14th Prague Conference on Information Theory, Statistical Decision Functions and Random Processes, p. 333, Eds: Janžura M., Mikosch T., Institute of Information Theory and Automation (Prague, 2002) [2002] :
- Algebraic approach to learning Bayesian networks. Abstract, BAYESIAN STATISTICS 7 Programme Abstracts Participants, p. 179, Universitat de Valencia (Valencia, 2002) [2002] :
- Open problems inspired by Albert Perez, Conditionals, Information, Inference, p. 117-128, Eds: Kern-Isberner G., Rodder W., Fern Universität (Hagen, 2002) [2002] :
- On non-graphical description of models of conditional independence structure, Katholieke Universiteit (Leuven, 2001) Download [2001] :
- On characterizing inclusion of Bayesian networks, Uncertainty in Artificial Intelligence. Proceeding of the 17th Conference, p. 261-268, Eds: Breese J., Koller D., Morgan Kaufmann (San Francisco, 2001) [2001] :
- On Mathematical Description of Probabilistic Conditional Independence Structures. DrSc. Dissertation (2001) [2001] :
- On the Inclusion Problem, ÚTIA AV ČR (Praha, 2001) [2001] :
- On stochastic conditional independence: Problem of characterization and description, Partial Knowledge and Uncertainty: Independence, Conditioning, Inference, p. 5-8, Eds: Scozzafava R., Vantaggi B., Baltzer Science Publ. (Rome, 2000) [2000] :
- Extreme Supermodular Set Functions over Five Variables, ÚTIA AV ČR (Praha, 2000) [2000] :
- Workshop on Conditional Independence Structures and Graphical Models. Book of Abstracts, ÚTIA AV ČR (Praha, 1999) [1999] :
- About the Closure Operation for Relational Models Induced by Syntactic Inference Rules, ÚTIA AV ČR (Praha, 1999) [1999] :
- Conditional products: An alternative approach to conditional independence, Artificial Intelligence and Statistics 99. Proceedings, p. 32-40, Eds: Heckerman D., Whittaker J., Morgan Kaufmann (San Francisco, 1999) [1999] :
- Complexity of structural models, Prague Stochastics '98. Proceedings, p. 521-528, Eds: Hušková M., Lachout P., Víšek J. Á., JČMF (Praha, 1998) [1998] :
- Bayesian networks from the point of view of chain graphs, Uncertainty in Artificial Intelligence. Proceedings of the Fourteenth Conference, p. 496-503, Eds: Cooper G. F., Moral S., Morgan Kaufmann (San Francisco, 1998) [1998] :
- Comparison of graphical approaches to description of conditional independence structures, Proceedings of the 4th Workshop on Uncertainty Processing, p. 156-172, VŠE (Praha, 1997) [1997] :
- On marginalization, collapsibility and precollapsibility, Distributions with Given Marginals and Moment Problems, p. 191-198, Eds: Beneš V., Štěpán J., Kluwer (Dordrecht, 1997) [1997] :
- On separation criterion and recovery algorithm for chain graphs, Uncertainty in Artificial Intelligence. Proceedings, p. 509-516, Eds: Horvik E., Jensen F., Morgan Kaufmann Publ. (San Francisco, 1996) [1996] :
- On stochastic conditional independence structures, European Conference on Higly Structured Stochastic Systems. Proceedings, p. 165-169, University of Aalborg (Rebild, 1996) [1996] :
- On Recovery Algorithm for Chain Graphs, ÚTIA AV ČR (Praha, 1996) [1996] :
- Information theoretical approach to constitution and reduction of medical data. Abstract, EuroMISE '95: Information, Health and Education, p. 88, Eds: Zvárová J., Malá I., EuroMISE Center (Prague, 1995) [1995] :
- Marginal problem in different calculi of AI, Advances in Intelligent Computing - IPMU '94, p. 348-359, Eds: Bouchon-Meunier B., Yager R. R., Zadeh L. A., Springer (Berlin, 1995) [1995] :
- Chain graphs: semantics and expressiveness, Symbolic and Quantitative Approaches to Reasoning and Uncertainty, p. 67-76, Eds: Froidevaux Ch., Kohlas J., Springer (Berlin, 1995) [1995] :
- Chain Graphs: Semantics and Expressiveness - Extended Version, ÚTIA AV ČR (Praha, 1995) [1995] :
- Managing Uncertainty in Medicine, EuroMISE (Prague, 1995) [1995] :
- Information Theoretical Approach to Constitution and Reduction of Medical Data, EuroMISE 95: Information, Health and Education, p. 88, Eds: Zvárová J., Malá I. [1995] :
- CI-models arising among 4 random variables, Uncertainty Processing in Expert Systems. Proceedings, p. 268-282, VŠE (Praha, 1994) [1994] :
- Semigraphoids are two-antecedental approximations of stochastic conditional independence models, Uncertainty in Artificial Intelligence. Proceedings, p. 546-552, Eds: Mantaras R. L., Poole D., Morgan Kaufmann (San Francisco, 1994) [1994] :
- Marginal problem in different calculi of AI, Information Processing and Management of Uncertainty in Knowledge-Based Systems. Proceedings, p. 597-604, Cité Internationale Universitaire (Paris, 1994) [1994] :
- Formal Properties of Conditional Independence in Different Calculi of AI, Symbolic and Quantitative Approaches to Reasoning and Uncertainty, p. 341-348, Eds: Clarke M., Kruse R., Moral S., Springer (Berlin, 1993) [1993] :
- Decomposition of Large Systems and Independence Structures, Second European Congress on Systems Science, p. 891-898, Afcet (Paris, 1993) [1993] :
- Popis struktur podmíněné stochastické nezávislosti pomocí formulí součinového typu, Sborník prací letní školy JČMF ROBUST '92, p. 146-155, Eds: Antoch J., Dohnal G., JČMF (Praha, 1992) [1992] :
- Description of Conditional Independence Structures by Means of Imsets: A Connection with Product Formula Validity, International Conference on Information Processing and Management of Uncertainty. IPMU '92, p. 503-506, Universitat des les Illes Balears (Palma, 1992) [1992] :
- Multiinformation and Conditional Independence II, ÚTIA ČSAV (Praha, 1992) [1992] :
- Conditional Independence Relations Have No Finite Complete Characterization, Transactions of the Eleventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, p. 377-396, Academia (Prague, 1992) [1992] :
- On Set-Valued Measures, ÚTIA ČSAV (Praha, 1992) [1992] :
- Convex set Functions II, ÚTIA ČSAV (Praha, 1991) [1991] :
- Convex Set Functions I, ÚTIA ČSAV (Praha, 1991) [1991] :
- Convex Semigraphoids, Workshop on Uncertainty Processing in Expert Systems, p. -, ÚTIA ČSAV (Prague, 1991) [1991] :
- Convex cones in Rn, ÚTIA ČSAV (Praha, 1991) [1991] :
- Multiinformace jakožto nástroj pro studium podmíněné stochastické nezávislosti, PROBASTAT '89. Zborník príspevkov, p. 129, VVTŠ (Liptovský Mikuláš, 1989) [1989] :
- Multiinformation and Conditional Independence I, ÚTIA ČSAV (Praha, 1989) [1989] :