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In this paper we extend the influence diagram (ID) representation for decisions under uncertainty. In the standard ID, arrows into a decision node are only informational; they do not represent constraints on what the decision maker can do.…

Artificial Intelligence · Computer Science 2013-02-21 Ali Jenzarli

We describe a representation and a set of inference methods that combine logic programming techniques with probabilistic network representations for uncertainty (influence diagrams). The techniques emphasize the dynamic construction and…

Artificial Intelligence · Computer Science 2013-04-11 John S. Breese , Edison Tse

This paper presents Networks of Influence Diagrams (NID), a compact, natural and highly expressive language for reasoning about agents beliefs and decision-making processes. NIDs are graphical structures in which agents mental models are…

Computer Science and Game Theory · Computer Science 2014-01-16 Yaakov Gal , Avi Pfeffer

This paper introduces epistemic graphs as a generalization of the epistemic approach to probabilistic argumentation. In these graphs, an argument can be believed or disbelieved up to a given degree, thus providing a more fine--grained…

Artificial Intelligence · Computer Science 2020-01-15 Anthony Hunter , Sylwia Polberg , Matthias Thimm

The ability to summarize and organize knowledge into abstract concepts is key to learning and reasoning. Many industrial applications rely on the consistent and systematic use of concepts, especially when dealing with decision-critical…

Computation and Language · Computer Science 2024-05-31 Rosario Uceda-Sosa , Karthikeyan Natesan Ramamurthy , Maria Chang , Moninder Singh

Influence diagrams are a directed graph representation for uncertainties as probabilities. The graph distinguishes between those variables which are under the control of a decision maker (decisions, shown as rectangles) and those which are…

Artificial Intelligence · Computer Science 2013-04-12 Ross D. Shachter

Large language models (LLMs) have demonstrated remarkable success across a wide range of tasks; however, they still encounter challenges in reasoning tasks that require understanding and inferring relationships between distinct pieces of…

Computation and Language · Computer Science 2025-01-15 Haoyu Han , Yaochen Xie , Hui Liu , Xianfeng Tang , Sreyashi Nag , William Headden , Hui Liu , Yang Li , Chen Luo , Shuiwang Ji , Qi He , Jiliang Tang

Diagrammatic, analogical or iconic representations are often contrasted with linguistic or logical representations, in which the shape of the symbols is arbitrary. The aim of this paper is to make a case for the usefulness of diagrams in…

Computation and Language · Computer Science 2007-05-23 Catherine Recanati

The analysis of practical probabilistic models on the computer demands a convenient representation for the available knowledge and an efficient algorithm to perform inference. An appealing representation is the influence diagram, a network…

Artificial Intelligence · Computer Science 2013-04-15 Ross D. Shachter

While influence diagrams have many advantages as a representation framework for Bayesian decision problems, they have a serious drawback in handling asymmetric decision problems. To be represented in an influence diagram, an asymmetric…

Artificial Intelligence · Computer Science 2013-02-28 Runping Qi , Nevin Lianwen Zhang , David L. Poole

The potential influence diagram is a generalization of the standard "conditional" influence diagram, a directed network representation for probabilistic inference and decision analysis [Ndilikilikesha, 1991]. It allows efficient inference…

Artificial Intelligence · Computer Science 2013-03-08 Ross D. Shachter , Pierre Ndilikilikesha

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

This paper considers the challenges Large Language Models (LLMs) face when reasoning over text that includes information involving uncertainty explicitly quantified via probability values. This type of reasoning is relevant to a variety of…

Computation and Language · Computer Science 2024-12-30 Aliakbar Nafar , Kristen Brent Venable , Parisa Kordjamshidi

One of the most pressing issues in AI in recent years has been the need to address the lack of explainability of many of its models. We focus on explanations for discrete Bayesian network classifiers (BCs), targeting greater transparency of…

Artificial Intelligence · Computer Science 2021-03-11 Antonio Rago , Emanuele Albini , Pietro Baroni , Francesca Toni

Most traditional models of uncertainty have focused on the associational relationship among variables as captured by conditional dependence. In order to successfully manage intelligent systems for decision making, however, we must be able…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , Ross D. Shachter

For the diagnostic inference under uncertainty Bayesian networks are investigated. The method is based on an adequate uniform representation of the necessary knowledge. This includes both generic and experience-based specific knowledge,…

Artificial Intelligence · Computer Science 2022-10-11 Sebastian Flügge , Sandra Zimmer , Uwe Petersohn

Although a number of related algorithms have been developed to evaluate influence diagrams, exploiting the conditional independence in the diagram, the exact solution has remained intractable for many important problems. In this paper we…

Artificial Intelligence · Computer Science 2012-06-26 Debarun Bhattacharjya , Ross D. Shachter

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

Artificial Intelligence · Computer Science 2013-03-25 Tze-Yun Leong

Over the past few years, the abilities of large language models (LLMs) have received extensive attention, which have performed exceptionally well in complicated scenarios such as logical reasoning and symbolic inference. A significant…

Computation and Language · Computer Science 2024-02-20 Junbing Yan , Chengyu Wang , Jun Huang , Wei Zhang

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza
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