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Workshop on Conditional Independant Structures and Graphical Models

September 27 - October 1, 1999

Toronto, ON, Canada

Mathematics

Host: Fields Institute
Sponsor: Fields Institute, Institute of Information Theory and Automation, Academy of Sciences of the Czech Republic
Homepage: http://www.utia.cas.cz/user_data/matus/toronto'99/workshop.html
Email: cis@utia.cas.cz

Organizers: Frantisek Matus, Milan Studeny

Description:
1. Philosophical and methodological foundations: Development of the concept of conditional independence and related notions in statistics, philosophical logic, artificial intelligence, database theory and statistical physics. Historical aspects together with perspectives.

2. Conditional independence structures of graphical models: Statistical and probabilistic models based on undirected graphs, acyclic directed graphs, chain graphs, reciprocal graphs, annotated graphs, alternative chain graphs, joint-response chain graphs, etc. Conditioning and marginalization. Data driven learning of the structure. Understanding latent variables. Bayesian aspects.

3. Information-theoretical approaches and non-graphical methods: Formal properties of probabilistic conditional independence, information-theoretical inequalities and related problems of information theory and cryptology (secret-sharing). Among non-graphical models: lattice conditional independence models, theory of imsets, matroid-theoretical structures.

4. Conditional independence in other frameworks: The concept of conditional independence in miscellaneous nonprobabilistic calculi; event trees, valuation networks, possibility theory and applications in artificial intelligence. Interval statistics, relational and probabilistic databases, coherence theory, decompositions based on conditional independence assumptions.

Speakers: David Cox (Nuffield College, Oxford), Phil Dawid (University College London, London), Jan Koster (Erasmus University, Rotterdam), Azaria Paz (Technion Institute, Haifa), Michael Perlman (University of Washington, Seattle), Glenn Shafer (Rutgers University, New Jersey), Prakash Shenoy (Kansas University Business School, Lawrence), Nanny Wermuth (Center for Survey Research and Methodology, Mannheim), Raymond Yeung (The Chinese University of Hong Kong, Hong Kong), Zhen Zhang (University of Southern California, Los Angeles)

Date received: September 30, 1999


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