| Title:
|
Conditional independence and its representations (English) |
| Author:
|
Pearl, Judea |
| Author:
|
Geiger, Dan |
| Author:
|
Verma, Thomas |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
25 |
| Issue:
|
7 |
| Year:
|
1989 |
| Pages:
|
33-44 |
| . |
| Category:
|
math |
| . |
| MSC:
|
68T01 |
| MSC:
|
68T30 |
| idMR:
|
MR1014699 |
| . |
| Date available:
|
2009-09-24T18:16:09Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125413 |
| . |
| Reference:
|
[1] C. Beeri: On the membership problem for functional and multivalued dependencies in relational database.ACM Trans. Database Systems 5 (1980), 3, 241-249. |
| Reference:
|
[2] C. Beeri R. Fagin, R. A. Howard: A complete axiomatization of functional dependencies and multi-valued dependencies in database relations.In: Proceedings, 1977 ACM SIGMOD Internat. Conference on Management of Data, Toronto, Canada 1977, pp. 47-61. |
| Reference:
|
[3] H. Cramer: Mathematical Methods of Statistics.Princeton Univ. Press, Princeton, N. J. 1946. Zbl 0063.01014, MR 0016588 |
| Reference:
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[4] A. P. Dawid: Conditional independence in statistical theory.J. Roy. Statist. Soc. Ser. B 41 (1979), 1,1-31. Zbl 0408.62004, MR 0535541 |
| Reference:
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[5] R. Fagin: Multivalued dependencies and a new form for relational databases.ACM Trans. Database Systems 2 (1977), 3, 262-278. |
| Reference:
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[6] W. Feller: An Introduction to Probability Theory and Its Applications (Chapter XV).John Wiley and Sons, New York 1968. MR 0228020 |
| Reference:
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[7] D. Geiger: Towards the Formalization of Informational Dependencies.Technical Report R-102, UCLA Cognitive Systems Laboratory, December 1987. |
| Reference:
|
[8] D. Geiger A. Paz, J. Pearl: Axioms and Algorithms for Inferences Involving Probabilistic Independence.Technical Report R-119, January 1989. |
| Reference:
|
[9] D. Geiger, J. Pearl: On the logic of causal models.In: Proc. of the 4th Workshop on Uncertainty in AI, St. Paul, Minn., August 1988, pp. 136-147. |
| Reference:
|
[10] D. Geiger, J. Pearl: Logical and Algorithmic Properties of Conditional Independence.Technical Report 870066 (R-97), UCLA Cognitive Systems Laboratory, February 1988. In: Proc. of Workshop on Statistics and AI, Ft. Lauderdale, Fl., January 1989, 19-1 -- 19-10. |
| Reference:
|
[11] D. Geiger T. Verma, J. Pearl: Identifying Independence in Bayesian Networks.Technical Report R-116, UCLA Cognitive Systems Laboratory. |
| Reference:
|
[12] R. A. Howard, J. E. Matheson: Influence Diagrams.In: Principles and Applications of Decision Analysis, Strategic Decisions Group, Menlo Park, CA 1981. |
| Reference:
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[13] V. Isham: An introduction to spatial point processes and Markov random fields.International. Statist. Rev. 49 (1981), 21-43. Zbl 0457.60078, MR 0623008 |
| Reference:
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[14] S. L. Lauritzen: Lectures on Contingency Tables.University of Aalborg Press, Aalborg, Denmark 1982. |
| Reference:
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[15] J. S. Meditch: Stochastic Optimal Linear Estimation and Control.McGraw-Hill, New York 1969. Zbl 0225.93045 |
| Reference:
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[16] S. M. Olmsted: On Representing and Solving Decision Problems.Ph. D. Thesis, EES Dept., Stanford University, Stanford, CA 1983. |
| Reference:
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[17] J. Pearl: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference.Morgan Kaufmann, San Mateo, CA 1988. MR 0965765 |
| Reference:
|
[18] J. Pearl D. Geiger, T. Verma: The logic of influence diagrams.In: Proceedings of the Conference on Influence Diagrams, Berkeley, CA, May 1988. |
| Reference:
|
[19] J. Pearl, A. Paz: GRAPHOIDS: a Graph-based Logic for Reasoning about Relevance Relations.Technical Report 850038 (R-52), UCLA Computer Science Department, October 1985; also Proceedings, ECAI-86, Brighton, U. K. June 1986. |
| Reference:
|
[20] J. Pearl, T. Verma: The logic of representing dependencies by directed acyclic graphs.In: Proceedings AAA-I, Seattle, Washington, July 1987, pp. 374-379. |
| Reference:
|
[21] R. D. Shachter: Evaluating influence diagrams.Oper. Res. 34 (1986), 6, 871-882. MR 0886655 |
| Reference:
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[22] R. D. Shachter: Probabilistic inference and influence diagrams.Oper. Res. 36 (1988), 4, 589-604. Zbl 0651.90043 |
| Reference:
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[23] G. Shafer P. P. Shenoy, K. Mellouli: Propagating belief functions in qualitative Markov trees.Internat. J. of Approximate Reasoning 1 (1988), 4, 349-400. MR 0965393 |
| Reference:
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[24] J. Q. Smith: Influence Diagrams for Statistical Modeling.Technical Report No. 117, Department of Statistics, University of Warwick, Coventry, England, June 1987. |
| Reference:
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[25] M. Studený: Attempts at axiomatic description of conditional independence.In: Proceedings of the Workshop on Uncertainty Processing in Expert Systems. Kybernetika 25 (1989), Supplement to No. 1-3, pp. 65-72. MR 1014703 |
| Reference:
|
[26] T. S. Verma: Causal Networks: Semantics and Expressiveness.Technical Report R-65, UCLA Cognitive Systems Laboratory, 1986; also in Proceedings of the 4th Workshop on Uncertainty in AI, St. Paul, Minn., August 1988, pp. 352-359. |
| Reference:
|
[27] T. S. Verma: Some Mathematical Properties of Dependency Models.Technical Report R-103, UCLA Cognitive Systems Laboratory, 1987. |
| Reference:
|
[28] T. S. Verma: On the Membership Problem in Semi-Graphoids.Technical Report R-115, UCLA Cognitive Systems Laboratory, 1988. |
| Reference:
|
[29] T. Verma, J. Pearl: Causal networks: semantics and expressiveness.In: Proceedings of the 4th Workshop on Uncertainty in AI, St. Paul, Min. August 1988, pp. 352-359. |
| . |
