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Influence diagrams are widely employed to represent multi-stage decision problems in which each decision is a choice from a discrete set of alternatives, uncertain chance events have discrete outcomes, and prior decisions may influence the…

Optimization and Control · Mathematics 2022-01-20 Ahti Salo , Juho Andelmin , Fabricio Oliveira

A framework is presented for a computational theory of probabilistic argument. The Probabilistic Reasoning Environment encodes knowledge at three levels. At the deepest level are a set of schemata encoding the system's domain knowledge.…

Artificial Intelligence · Computer Science 2013-04-05 Kathryn Blackmond Laskey

We describe the integration of logical and uncertain reasoning methods to identify the likely source and location of software problems. To date, software engineers have had few tools for identifying the sources of error in complex software…

Artificial Intelligence · Computer Science 2013-03-08 Lisa J. Burnell , Eric J. Horvitz

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

Today, many different probabilistic programming languages exist and even more inference mechanisms for these languages. Still, most logic programming based languages use backward reasoning based on SLD resolution for inference. While these…

Logic in Computer Science · Computer Science 2011-07-27 Bernd Gutmann , Ingo Thon , Angelika Kimmig , Maurice Bruynooghe , Luc De Raedt

A simple framework for reasoning under uncertainty and intervention is introduced. This is achieved in three steps. First, logic is restated in set-theoretic terms to obtain a framework for reasoning under certainty. Second, this framework…

Statistics Theory · Mathematics 2010-08-18 Pedro A. Ortega

Predicting the future is an important component of decision making. In most situations, however, there is not enough information to make accurate predictions. In this paper, we develop a theory of causal reasoning for predictive inference…

Artificial Intelligence · Computer Science 2013-04-10 Thomas L. Dean , Keiji Kanazawa

Numerous methods for probabilistic reasoning in large, complex belief or decision networks are currently being developed. There has been little research on automating the dynamic, incremental construction of decision models. A uniform…

Artificial Intelligence · Computer Science 2013-03-08 Soe-Tsyr Yuan

Inferring from inconsistency and making decisions are two problems which have always been treated separately by researchers in Artificial Intelligence. Consequently, different models have been proposed for each category. Different…

Artificial Intelligence · Computer Science 2012-07-09 Leila Amgoud

An inductive logic can be formulated in which the elements are not propositions or probability distributions, but information systems. The logic is complete for information systems with binary hypotheses, i.e., it applies to all such…

Artificial Intelligence · Computer Science 2013-04-11 Norman C. Dalkey

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

Artificial Intelligence · Computer Science 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt

The causal (belief) network is a well-known graphical structure for representing independencies in a joint probability distribution. The exact methods and the approximation methods, which perform probabilistic inference in causal networks,…

Artificial Intelligence · Computer Science 2013-04-05 Richard E. Neapolitan , James Kenevan

This paper focuses on designing expert systems to support decision making in complex, uncertain environments. In this context, our research indicates that strictly probabilistic representations, which enable the use of decision-theoretic…

Artificial Intelligence · Computer Science 2013-04-15 Samuel Holtzman , John S. Breese

The form and justification of inductive inference rules depend strongly on the representation of uncertainty. This paper examines one generic representation, namely, incomplete information. The notion can be formalized by presuming that the…

Artificial Intelligence · Computer Science 2013-04-15 Norman C. Dalkey

A subjective expected utility policy making centre, managing complex, dynamic systems, needs to draw on the expertise of a variety of disparate panels of experts and integrate this information coherently. To achieve this, diverse supporting…

Methodology · Statistics 2015-12-21 Jim Q. Smith , Martine J. Barons , Manuele Leonelli

Mathematical programming formulations of influence diagrams can bridge the gap between representing and solving decision problems. However, they suffer from both modeling and computational limitations. Aiming to address modeling…

Optimization and Control · Mathematics 2025-06-19 Olli Herrala , Tommi Ekholm , Fabricio Oliveira

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

Artificial Intelligence · Computer Science 2013-04-15 Marvin S. Cohen

Many logic programming based approaches can be used to describe and solve combinatorial search problems. On the one hand there are definite programs and constraint logic programs that compute a solution as an answer substitution to a query…

Logic in Computer Science · Computer Science 2007-05-23 Nikolay Pelov , Emmanuel De Mot , Maurice Bruynooghe

We consider a logic used to describe sets of configurations of distributed systems, whose network topologies can be changed at runtime, by reconfiguration programs. The logic uses inductive definitions to describe networks with an unbounded…

Logic in Computer Science · Computer Science 2022-04-27 Marius Bozga , Lucas Bueri , Radu Iosif

Cognitive studies and artificial intelligence have developed distinct models for various inferential mechanisms (categorization, induction, abduction, causal inference, contrast, merge, ...). Yet, both natural and artificial views on…

Artificial Intelligence · Computer Science 2025-10-28 Giovanni Sileno , Jean-Louis Dessalles