메뉴 건너뛰기




Volumn 31, Issue 1-2, 2002, Pages 103-154

Resource bounded and anytime approximation of belief function computations

Author keywords

Belief functions; Dempster Shafer theory; Fusion algorithm; Incompleteness; Interruptible anytime algorithm; Join tree propagation; Lower and upper approximation

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; FUNCTIONS; SET THEORY; THEOREM PROVING;

EID: 0036787875     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(02)00074-9     Document Type: Article
Times cited : (47)

References (52)
  • 2
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • Dempster A. Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics. 38:1967;325-339.
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 325-339
    • Dempster, A.1
  • 4
    • 0003356491 scopus 로고
    • A Mathematical Theory of Hints. An Approach to the Dempster-Shafer Theory of Evidence
    • Springer
    • J. Kohlas, P. Monney, A Mathematical Theory of Hints. An Approach to the Dempster-Shafer Theory of Evidence, Vol. 425 of Lecture Notes in Economics and Mathematical Systems, Springer, 1995
    • (1995) Lecture Notes in Economics and Mathematical Systems , vol.425
    • Kohlas, J.1    Monney, P.2
  • 7
    • 0037252628 scopus 로고    scopus 로고
    • Probabilistic argumentation systems: A new perspective on Dempster-Shafer theory
    • Special Issue on Dempster-Shafer Theory of Evidence, accepted for publication
    • R. Haenni, N. Lehmann, Probabilistic argumentation systems: a new perspective on Dempster-Shafer theory, International Journal of Intelligent Systems, Special Issue on Dempster-Shafer Theory of Evidence, accepted for publication
    • International Journal of Intelligent Systems
    • Haenni, R.1    Lehmann, N.2
  • 9
    • 0025460756 scopus 로고
    • Dempster's rule of combination is #P-complete
    • Orponen P. Dempster's rule of combination is #P-complete. Artificial Intelligence. 44:1990;245-253.
    • (1990) Artificial Intelligence , vol.44 , pp. 245-253
    • Orponen, P.1
  • 10
    • 0002985393 scopus 로고
    • Propagating belief functions with local computations
    • Shenoy P.P., Shafer G. Propagating belief functions with local computations. IEEE Expert. 1(3):1986;43-52.
    • (1986) IEEE Expert , vol.1 , Issue.3 , pp. 43-52
    • Shenoy, P.P.1    Shafer, G.2
  • 11
    • 0010597831 scopus 로고
    • A Monte-Carlo algorithm for Dempster-Shafer belief
    • D'Ambrosio B.D., Smets Ph., Bonissone P.P. (Eds.), Morgan Kaufmann Publishers, CA
    • Wilson N. A Monte-Carlo algorithm for Dempster-Shafer belief. D'Ambrosio B.D., Smets Ph., Bonissone P.P. Proceedings of the 7th Conference on Uncertainty in Artificial Intelligence. 1991;414-417 Morgan Kaufmann Publishers, CA.
    • (1991) Proceedings of the 7th Conference on Uncertainty in Artificial Intelligence , pp. 414-417
    • Wilson, N.1
  • 12
    • 0028576759 scopus 로고
    • Markov chain Monte-Carlo algorithms for the calculation of Dempster-Shafer belief
    • AAAI Press, Seattle, Washington
    • Moral S., Wilson N. Markov chain Monte-Carlo algorithms for the calculation of Dempster-Shafer belief. Proceedings of the 12th National Conference on Artificial Intelligence. vol. 1:1994;269-274 AAAI Press, Seattle, Washington.
    • (1994) Proceedings of the 12th National Conference on Artificial Intelligence , vol.1 , pp. 269-274
    • Moral, S.1    Wilson, N.2
  • 14
    • 84947930387 scopus 로고    scopus 로고
    • A Monte-Carlo algorithm for combining Dempster-Shafer belief based on approximate pre-computation
    • A. Hunter, S. Parsons (Eds.), Proceedings of the 5th European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty (ECSQARU-99), Springer
    • S. Moral, A. Salmerón, A Monte-Carlo algorithm for combining Dempster-Shafer belief based on approximate pre-computation, in: A. Hunter, S. Parsons (Eds.), in: Proceedings of the 5th European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty (ECSQARU-99), vol. 1638 of LNAI, Springer, 1999, pp. 305-315
    • (1999) LNAI , vol.1638 , pp. 305-315
    • Moral, S.1    Salmerón, A.2
  • 15
    • 0024662329 scopus 로고
    • A computationally efficient approximation of Dempster-Shafer theory
    • Voorbraak F. A computationally efficient approximation of Dempster-Shafer theory. International Journal of Man-Machine Studies. 30(5):1989;525-536.
    • (1989) International Journal of Man-Machine Studies , vol.30 , Issue.5 , pp. 525-536
    • Voorbraak, F.1
  • 16
    • 0027609211 scopus 로고
    • Approximations for efficient computation in the theory of evidence
    • Tessem B. Approximations for efficient computation in the theory of evidence. Artificial Intelligence. 61(2):1993;315-329.
    • (1993) Artificial Intelligence , vol.61 , Issue.2 , pp. 315-329
    • Tessem, B.1
  • 18
    • 0001839782 scopus 로고    scopus 로고
    • Approximations for decision making in the Dempster-Shafer theory of evidence
    • Horvitz E.Jensen F. (Eds.), Morgan Kaufmann Publishers, CA
    • Bauer M. Approximations for decision making in the Dempster-Shafer theory of evidence. Horvitz E., Jensen F. Proceedings of the 12th Conference on Uncertainty in Artificial Intelligence (UAI-96). 1996;73-80 Morgan Kaufmann Publishers, CA.
    • (1996) Proceedings of the 12th Conference on Uncertainty in Artificial Intelligence (UAI-96) , pp. 73-80
    • Bauer, M.1
  • 19
    • 0031206656 scopus 로고    scopus 로고
    • Approximation algorithms and decision making in the Dempster-Shafer theory of evidence - An empirical study
    • Bauer M. Approximation algorithms and decision making in the Dempster-Shafer theory of evidence - an empirical study. International Journal of Approximate Reasoning. 17(2-3):1997;217-237.
    • (1997) International Journal of Approximate Reasoning , vol.17 , Issue.2-3 , pp. 217-237
    • Bauer, M.1
  • 23
    • 0002601137 scopus 로고    scopus 로고
    • Inner and outer clustering approximations of belief structures
    • Madrid, Spain
    • Denœux T. Inner and outer clustering approximations of belief structures. Proceedings of the 8th international conference. 2000;125-132 Madrid, Spain.
    • (2000) Proceedings of the 8th international conference , pp. 125-132
    • Denœux, T.1
  • 24
    • 0001736479 scopus 로고    scopus 로고
    • Binary join trees for computing marginals in the Shenoy-Shafer architecture
    • Shenoy P.P. Binary join trees for computing marginals in the Shenoy-Shafer architecture. International Journal of Approximate Reasoning. 17(2-3):1997;239-263.
    • (1997) International Journal of Approximate Reasoning , vol.17 , Issue.2-3 , pp. 239-263
    • Shenoy, P.P.1
  • 25
    • 0002668912 scopus 로고
    • Approximate reasoning using anytime algorithms
    • S. Natarajan(Ed), Kluwer Academic Publishers, Dordrecht
    • Zilberstein S., Russell S.J. Approximate reasoning using anytime algorithms. Natarajan S. Imprecise and Approximate Computation. 1995;Kluwer Academic Publishers, Dordrecht.
    • (1995) Imprecise and Approximate Computation
    • Zilberstein, S.1    Russell, S.J.2
  • 26
    • 0030230721 scopus 로고    scopus 로고
    • Using anytime algorithms in intelligent systems
    • Zilberstein S. Using anytime algorithms in intelligent systems. AI Magazine Fall. 1996;71-83.
    • (1996) AI Magazine Fall , pp. 71-83
    • Zilberstein, S.1
  • 27
    • 0010528959 scopus 로고
    • Intractability and time-dependent planning
    • M.P. Georgeff, A.L. Lansky(Eds.), Morgan Kaufmann Publishers, CA
    • Dean T.L. Intractability and time-dependent planning. Georgeff M.P., Lansky A.L. Proceedings of the 1986 Workshop on Reasoning about Actions and Plans. 1987;245-266 Morgan Kaufmann Publishers, CA.
    • (1987) Proceedings of the 1986 Workshop on Reasoning about Actions and Plans , pp. 245-266
    • Dean, T.L.1
  • 30
    • 0002286737 scopus 로고
    • Belief functions
    • Ph. Smets, A. Mamdani, H. Prade(Eds.), Academic Press, London
    • Smets Ph. Belief functions. Smets Ph., Mamdani A., Prade H. Nonstandard logics for automated reasoning. 1988;253-286 Academic Press, London.
    • (1988) Nonstandard logics for automated reasoning , pp. 253-286
    • Smets, Ph.1
  • 31
    • 84947901425 scopus 로고    scopus 로고
    • An alternative to outward propagation for Dempster-Shafer belief functions
    • A. Hunter, S. Parsons(Eds.) Springer, London
    • Lehmann N., Haenni R. An alternative to outward propagation for Dempster-Shafer belief functions. Hunter A., Parsons S. ECSQARU'99. 1999;256-267 Springer, London.
    • (1999) ECSQARU'99 , pp. 256-267
    • Lehmann, N.1    Haenni, R.2
  • 33
    • 0037246439 scopus 로고    scopus 로고
    • Implementing belief function computations
    • Special Issue on Dempster-Shafer Theory of Evidence, accepted for publication
    • R. Haenni, Lehmann N., Implementing belief function computations, International Journal of Intelligent Systems, Special Issue on Dempster-Shafer Theory of Evidence, accepted for publication.
    • International Journal of Intelligent Systems
    • Haenni, R.1    Lehmann, N.2
  • 34
    • 0002724228 scopus 로고
    • Axioms for probability and belief function propagation
    • Shafer G., Pearl J. (Eds.), Morgan Kaufmann Publishers Inc., San Mateo, California
    • Shafer G., Shenoy P. Axioms for probability and belief function propagation. Shafer G., Pearl J. Readings in Uncertain Reasoning. 1990;575-610 Morgan Kaufmann Publishers Inc. San Mateo, California.
    • (1990) Readings in Uncertain Reasoning , pp. 575-610
    • Shafer, G.1    Shenoy, P.2
  • 35
    • 0002231085 scopus 로고
    • Valuation-based systems: A framework for managing uncertainty in expert systems
    • Zadeh L.A., Kacprzyk J. (Eds.), John Wiley and Sons, New York
    • Shenoy P.P. Valuation-based systems: A framework for managing uncertainty in expert systems. Zadeh L.A., Kacprzyk J. Fuzzy Logic for the Management of Uncertainty. 1992;83-104 John Wiley and Sons, New York.
    • (1992) Fuzzy Logic for the Management of Uncertainty , pp. 83-104
    • Shenoy, P.P.1
  • 36
    • 0010528961 scopus 로고    scopus 로고
    • Binary join trees
    • Horvitz E., Jensen F.V. (Eds.), Morgan Kaufmann, CA
    • Shenoy P.P. Binary join trees. Horvitz E., Jensen F.V. Uncertainty in Artificial Inteligence. 1996;492-499 Morgan Kaufmann, CA.
    • (1996) Uncertainty in Artificial Inteligence , pp. 492-499
    • Shenoy, P.P.1
  • 38
    • 0033188982 scopus 로고    scopus 로고
    • Bucket elimination: A unifying framework for reasoning
    • Dechter R. Bucket elimination: a unifying framework for reasoning. Artificial Intelligence. 113(1-2):1999;41-85.
    • (1999) Artificial Intelligence , vol.113 , Issue.1-2 , pp. 41-85
    • Dechter, R.1
  • 44
    • 0000225518 scopus 로고
    • Heuristic algorithms for the triangulation of graphs
    • Bouchon-Meunier B., Yager R., Zadeh L. (Eds.), Springer, Berlin
    • Cano A., Moral S. Heuristic algorithms for the triangulation of graphs. Bouchon-Meunier B., Yager R., Zadeh L. Proceedings of the Fifth IPMU Conference. 1995;166-171 Springer, Berlin.
    • (1995) Proceedings of the Fifth IPMU Conference , pp. 166-171
    • Cano, A.1    Moral, S.2
  • 45
    • 0010529670 scopus 로고    scopus 로고
    • Tech. Rep. 99-03, University of Fribourg, Institute of Informatics
    • R. Haenni, N. Lehmann, Efficient hypertree construction, Tech. Rep. 99-03, University of Fribourg, Institute of Informatics, 1999.
    • (1999) Efficient hypertree construction
    • Haenni, R.1    Lehmann, N.2
  • 47
    • 0001698979 scopus 로고
    • Bayesian updating in causal probabilistic networks by local computations
    • Jensen F.V., Lauritzen S.L., Olesen K.G. Bayesian updating in causal probabilistic networks by local computations. SIAM Journal on Computing. 4:1990;269-282.
    • (1990) SIAM Journal on Computing , vol.4 , pp. 269-282
    • Jensen, F.V.1    Lauritzen, S.L.2    Olesen, K.G.3
  • 48
    • 0001006209 scopus 로고
    • Local computations with probabilities on graphical structures and their application to expert systems
    • Lauritzen S., Spiegelhalter D.J. Local computations with probabilities on graphical structures and their application to expert systems. Journal of the Royal Statistical Society. 50(2):1988;157-224.
    • (1988) Journal of the Royal Statistical Society , vol.50 , Issue.2 , pp. 157-224
    • Lauritzen, S.1    Spiegelhalter, D.J.2
  • 51
    • 0032116450 scopus 로고    scopus 로고
    • Some improvements to the Shenoy-Shafer and Hugin architectures for computing marginals
    • Schmidt T., Shenoy P.P. Some improvements to the Shenoy-Shafer and Hugin architectures for computing marginals. Artificial Intelligence. 102(2):1998;323-333.
    • (1998) Artificial Intelligence , vol.102 , Issue.2 , pp. 323-333
    • Schmidt, T.1    Shenoy, P.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.