64 citations · 219 across the 17 of their papers we have counts for
17 papers
Propagation of Belief Functions: A Distributed Approach
Prakash P. Shenoy, Glenn Shafer, Khaled Mellouli
In this paper, we describe a scheme for propagating belief functions in certain kinds of trees using only local computations. This scheme generalizes the computational scheme propo…
An Axiomatic Framework for Bayesian and Belief-function Propagation
Prakash P. Shenoy, Glenn Shafer
In this paper, we describe an abstract framework and axioms under which exact local computation of marginals is possible. The primitive objects of the framework are variables and v…
Valuation-Based Systems for Discrete Optimization
Prakash P. Shenoy, Glenn Shafer
This paper describes valuation-based systems for representing and solving discrete optimization problems. In valuation-based systems, we represent information in an optimization pr…
A Fusion Algorithm for Solving Bayesian Decision Problems
Prakash P. Shenoy
This paper proposes a new method for solving Bayesian decision problems. The method consists of representing a Bayesian decision problem as a valuation-based system and applying a…
Conditional Independence in Uncertainty Theories
Prakash P. Shenoy
This paper introduces the notions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many differen…
Valuation Networks and Conditional Independence
Prakash P. Shenoy
Valuation networks have been proposed as graphical representations of valuation-based systems (VBSs). The VBS framework is able to capture many uncertainty calculi including probab…