Computing the volume is difficult
STOC '86 Proceedings of the eighteenth annual ACM symposium on Theory of computing
A random polynomial-time algorithm for approximating the volume of convex bodies
Journal of the ACM (JACM)
GroupLens: an open architecture for collaborative filtering of netnews
CSCW '94 Proceedings of the 1994 ACM conference on Computer supported cooperative work
Random walks and an O*(n5) volume algorithm for convex bodies
Random Structures & Algorithms
Faster random generation of linear extensions
Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
Utilities as Random Variables: Density Estimation and Structure Discovery
UAI '00 Proceedings of the 16th Conference on Uncertainty in Artificial Intelligence
Making Rational Decisions Using Adaptive Utility Elicitation
Proceedings of the Seventeenth National Conference on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence
A hybrid approach to reasoning with partially elicited preference models
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
The decision-theoretic interactive video advisor
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
Toward case-based preference elicitation: similarity measures on preference structures
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
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In previous work [8] we presented a casebased approach to eliciting and reasoning with preferences. A key issue in this approach is the definition of similarity between user preferences. We introduced the probabilistic distance as a measure of similarity on user preferences, and provided an algorithm to compute the distance between two partially specified value functions. This is for the case of decision making under certainty. In this paper we address the more challenging issue of computing the probabilistie distance in the ease of decision making under uncertainty. We present algorithms to compute the probabilistic distance between two completely or partially specified utility functions. We demonstrate the use of this algorithm with a medical data set of partially specified patient preferences, where none of the other existing distance measures appear definable. Using this data set, we also demonstrate that the case-based approach to preference elicitation is applicable in domains with uncertainty.