An Algebraic Graphical Model for Decision with Uncertainties, Feasibilities, and Utilities

Computer Science – Artificial Intelligence

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

10.1613/jair.2151

Numerous formalisms and dedicated algorithms have been designed in the last decades to model and solve decision making problems. Some formalisms, such as constraint networks, can express "simple" decision problems, while others are designed to take into account uncertainties, unfeasible decisions, and utilities. Even in a single formalism, several variants are often proposed to model different types of uncertainty (probability, possibility...) or utility (additive or not). In this article, we introduce an algebraic graphical model that encompasses a large number of such formalisms: (1) we first adapt previous structures from Friedman, Chu and Halpern for representing uncertainty, utility, and expected utility in order to deal with generic forms of sequential decision making; (2) on these structures, we then introduce composite graphical models that express information via variables linked by "local" functions, thanks to conditional independence; (3) on these graphical models, we finally define a simple class of queries which can represent various scenarios in terms of observabilities and controllabilities. A natural decision-tree semantics for such queries is completed by an equivalent operational semantics, which induces generic algorithms. The proposed framework, called the Plausibility-Feasibility-Utility (PFU) framework, not only provides a better understanding of the links between existing formalisms, but it also covers yet unpublished frameworks (such as possibilistic influence diagrams) and unifies formalisms such as quantified boolean formulas and influence diagrams. Our backtrack and variable elimination generic algorithms are a first step towards unified algorithms.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

An Algebraic Graphical Model for Decision with Uncertainties, Feasibilities, and Utilities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Algebraic Graphical Model for Decision with Uncertainties, Feasibilities, and Utilities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Algebraic Graphical Model for Decision with Uncertainties, Feasibilities, and Utilities will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-634608

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.