Now showing items 181-200 of 216

    • Sequential Influence Diagrams: A Unified Asymmetry Framework 

      Jensen, Finn V.; Nielsen, Thomas D.; Shenoy, Prakash P. (2004-10)
      We describe a new graphical language for specifying asymmetric decision problems. The language is based on a filtered merge of several existing languages including sequential valuation networks, asymmetric influence diagrams, ...
    • Inference in Hybrid Bayesian Networks with Deterministic Variables 

      Cobb, Barry R.; Shenoy, Prakash P. (2004-10)
      An important class of hybrid Bayesian networks are those that have conditionally deterministic variables (a variable that is a deterministic function of its parents). In this case, if some of the parents are continuous, ...
    • On Committee Decision Making: A Game Theoretical Approach 

      Shenoy, Prakash P. (The Institute of Management Sciences, 1980-04)
      In this paper, we study committee decision making process using game theory. By a committee, we mean any group of people who have to pick one option from a given set of alternatives. A well defined voting rule is specified ...
    • Game Trees for Decision Analysis 

      Shenoy, Prakash P. (Kluwer Academic Publishers, 1998-04)
      Game trees (or extensive-form games) were first defined by von Neumann and Morgenstern in 1944. In this paper, we examine the use of game trees for representing Bayesian decision problems. We propose a method for solving ...
    • A Note on Kirkwood's Algebraic Method for Decision Problems 

      Guo, Rui; Shenoy, Prakash P. (Elsevier Science Publishers B. V., 1996-09-20)
      The main objectives of this note are to point out some strengths and some limitations of Kirkwood's algebraic method for decision problems, and to propose a modification to address the limitations. The modification is based ...
    • Binary Join Trees for Computing Marginals in the Shenoy-Shafer Architecture 

      Shenoy, Prakash P. (Elsevier Science Publishers B. V., 1997-08)
      The main goal of this paper is to describe a data structure called binary join trees that are useful in computing multiple marginals efficiently in the Shenoy-Shafer architecture. We define binary join trees, describe their ...
    • A Comparison of Lauritzen-Spiegelhalter, Hugin, and Shenoy-Shafer Architectures for Computing Marginals of Probability Distributions 

      Lepar, Vasilica; Shenoy, Prakash P. (Morgan Kaufmann Publishers, 1998-07)
      In the last decade, several architectures have been proposed for exact computation of marginals using local computation. In this paper, we compare three architectures—Lauritzen-Spiegelhalter, Hugin, and Shenoy-Shafer—from ...
    • Some Improvements to the Shenoy-Shafer and Hugin Architectures for Computing Marginals 

      Schmidt, Tuija; Shenoy, Prakash P. (Elsevier Science Publishers B. V., 1998)
      The main aim of this paper is to describe two modifications to the Shenoy–Shafer architecture with the goal of making it computationally more efficient in computing marginals of the joint valuation. We also describe a ...
    • On Transformations between Probability and Spohnian Disbelief Functions 

      Giang, Phan H.; Shenoy, Prakash P. (Morgan Kaufmann Publishers, 1999-07)
      In this paper, we analyze the relationship between probability and Spohn's theory for representation of uncertain beliefs. Using the intuitive idea that the more probable a proposition is, the more believable it is, we ...
    • A Comparison of Graphical Techniques for Asymmetric Decision Problems 

      Bielza, Concha; Shenoy, Prakash P. (Institute For Operations Research and Management Sciences, 1999-11)
      We compare four graphical techniques for representation and solution of asymmetric decision problems—decision trees, influence diagrams, valuation networks, and sequential decision diagrams. We solve a modified version of ...
    • A Qualitative Linear Utility Theory for Spohn’s Theory of Epistemic Beliefs 

      Giang, Phan H.; Shenoy, Prakash P. (Morgan Kaufmann Publishers, 2000-08)
      In this paper, we formulate a qualitative “linear” utility theory for lotteries in which uncertainty is expressed qualitatively using a Spohnian disbelief function. We argue that a rational decision maker facing an ...
    • Computation in Valuation Algebras 

      Kohlas, Jürg; Shenoy, Prakash P. (Kluwer Academic Publishers, 2000)
      Many different formalisms for treating uncertainty or, more generally, information and knowledge, have a common underlying algebraic structure. The essential algebraic operations are combination, which corresponds to ...
    • A Bayesian Network Approach to Making Inferences in Causal Maps 

      Nadkarni, Sucheta; Shenoy, Prakash P. (Elsevier Science Publishers B. V., 2001-02-01)
      The main goal of this paper is to describe a new graphical structure called "Bayesian causal maps" to represent and analyze domain knowledge of experts. A Bayesian causal map is a causal map, i.e., a network-based ...
    • A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory 

      Giang, Phan H.; Shenoy, Prakash P. (Morgan Kaufmann Publishers, 2001-08)
      In this paper we analyze two recent axiomatic approaches proposed by Dubois et al., and by Giang and Shenoy, respectively, for qualitative decision making where uncertainty is described by possibility theory. Both ...
    • Sequential Valuation Networks: A New Graphical Technique for Asymmetric Decision Problems 

      Demirer, Riza; Shenoy, Prakash P. (Springer-Verlag, 2001-09)
      This paper deals with representation and solution of asymmetric decision problems. We describe a new graphical representation called sequential valuation networks, which is a hybrid of Covaliu and Oliver’s sequential ...
    • Bayesian Network Models of Portfolio Risk and Return 

      Shenoy, Catherine; Shenoy, Prakash P. (The MIT Press, 2000)
      In this paper we show how a Bayesian network can be used to represent a traditional financial model of portfolio return. Then we show how expert subjective judgement can be included in the Bayesian network model. The output ...
    • Sequential Valuation Networks for Asymmetric Decision Problems 

      Demirer, Riza; Shenoy, Prakash P. (University of Kansas School of Business, 2001-01)
      This paper deals with representation and solution of asymmetric decision problems. We describe a new representation called sequential valuation networks that is a hybrid of Covaliu and Oliver’s sequential decision diagrams ...
    • Modeling Financial Portfolios Using Belief Functions 

      Shenoy, Catherine; Shenoy, Prakash P. (Physica-Verlag, 2002)
      The main goal of this paper is to demonstrate how the Dempster-Shafer theory of belief functions can be used to model financial portfolios. In particular, we are interested in modeling how a portfolio return distribution ...
    • Statistical Decisions Using Likelihood Information Without Prior Probabilities 

      Giang, Phan H.; Shenoy, Prakash P. (Morgan Kaufmann Publishers, 2002-08)
      This paper presents a decision-theoretic approach to statistical inference that satisfies the Likelihood Principle (LP) without using prior information. Unlike the Bayesian approach, which also satisfies LP, we do not ...
    • On Transforming Belief Function Models to Probability Models 

      Cobb, Barry R.; Shenoy, Prakash P. (University of Kansas School of Business, 2003-07)
      In this paper, we explore methods for transforming a belief function model to an equivalent probability model. We propose and define the properties of a method called the plausibility transformation method. We compare the ...