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Most approaches for repairing description logic (DL) ontologies aim at changing the axioms as little as possible while solving inconsistencies, incoherences and other types of undesired behaviours. As in Belief Change, these issues are…

Logic in Computer Science · Computer Science 2022-02-22 Jandson S. Ribeiro , Ricardo Guimarães , Ana Ozaki

AGM's belief revision is one of the main paradigms in the study of belief change operations. In this context, belief bases (prioritised bases) have been primarily used to specify the agent's belief state. While the connection of iterated…

Logic in Computer Science · Computer Science 2019-12-24 Marlo Souza , Álvaro Moreira

Epistemic planning is the sub-field of AI planning that focuses on changing knowledge and belief. It is important in both multi-agent domains where agents need to have knowledge/belief regarding the environment, but also the beliefs of…

Artificial Intelligence · Computer Science 2025-10-20 Guang Hu , Tim Miller , Nir Lipovetzky

By elaborating on the notion of linear belief functions (Dempster 1990; Liu 1996), we propose an elementary approach to knowledge representation for expert systems using linear belief functions. We show how to use basic matrices to…

Artificial Intelligence · Computer Science 2012-12-12 Liping Liu , Catherine Shenoy , Prakash P. Shenoy

Scepticism towards childhood vaccines and genetically modified food has grown despite scientific evidence of their safety. Beliefs about scientific issues are difficult to change because they are entrenched within many related moral…

Social and Information Networks · Computer Science 2022-01-14 Jonas Dalege , Tamara van der Does

We present arguments for the formulation of unified approach to different standard continuous inference methods from partial information. It is claimed that an explicit partition of information into a priori (prior knowledge) and a…

Machine Learning · Statistics 2012-12-07 Mark A. Kon , Leszek Plaskota

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

In real-world applications, knowledge bases consisting of all the information at hand for a specific domain, along with the current state of affairs, are bound to contain contradictory data coming from different sources, as well as data…

Logic in Computer Science · Computer Science 2014-01-08 Paulo Shakarian , Gerardo I. Simari , Marcelo A. Falappa

Modifiable combining functions are a synthesis of two common approaches to combining evidence. They offer many of the advantages of these approaches and avoid some disadvantages. Because they facilitate the acquisition, representation,…

Artificial Intelligence · Computer Science 2013-04-11 Paul Cohen , Glenn Shafer , Prakash P. Shenoy

In artificial intelligence (AI), knowledge is the information required by an intelligent system to accomplish tasks. While traditional knowledge bases use discrete, symbolic representations, detecting knowledge encoded in the continuous…

Computation and Language · Computer Science 2021-04-20 Gang Chen , Maosong Sun , Yang Liu

Ideally, the time that an incremental algorithm uses to process a change should be a function of the size of the change rather than, say, the size of the entire current input. Based on a formalization of ``the set of things changed'' by an…

cmp-lg · Computer Science 2008-02-03 Mats Wirén

This paper examines the problem of constructing belief networks to evaluate plans produced by an knowledge-based planner. Techniques are presented for handling various types of complicating plan features. These include plans with…

Artificial Intelligence · Computer Science 2013-02-28 Paul E. Lehner , Christopher Elsaesser , Scott A. Musman

An important aspect of data integration involves answering queries using various resources rather than by accessing database relations. The process of transforming a query from the database relations to the resources is often referred to as…

Databases · Computer Science 2007-05-23 J. Grant , J. Minker

Enabling artificial intelligence systems, particularly large language models, to integrate new knowledge and flexibly apply it during reasoning remains a central challenge. Existing knowledge editing approaches emphasize atomic facts,…

Artificial Intelligence · Computer Science 2026-02-03 Ya Gao , Kalle Kujanpää , Pekka Marttinen , Harri Valpola , Alexander Ilin

Belief functions are a powerful and popular framework for the mathematical characterisation of uncertainty, in particular in situations in which lack of data renders learning a probability distribution for the problem impractical. The first…

Statistics Theory · Mathematics 2026-05-11 Fabio Cuzzolin

Confirmation bias is a cognitive bias that adversely affects management decisions, and mathematical modelling is an aid to its detailed understanding. Bias in opinion update about the value of a parameter is modelled here assuming that…

Other Statistics · Statistics 2022-02-08 Rose D Baker

Many AI applications rely on knowledge about a relevant real-world domain that is encoded by means of some logical knowledge base (KB). The most essential benefit of logical KBs is the opportunity to perform automatic reasoning to derive…

Artificial Intelligence · Computer Science 2016-05-20 Patrick Rodler

Scientific research's mandate is to comprehend and explore the world, as well as to improve it based on experience and knowledge. Knowledge embedding and knowledge discovery are two significant methods of integrating knowledge and data.…

Artificial Intelligence · Computer Science 2022-04-12 Yuntian Chen , Dongxiao Zhang

Belief revision is an operation that aims at modifying old be-liefs so that they become consistent with new ones. The issue of belief revision has been studied in various formalisms, in particular, in qualitative algebras (QAs) in which the…

Artificial Intelligence · Computer Science 2014-12-15 Valmi Dufour-Lussier , Alice Hermann , Florence Le Ber , Jean Lieber

Long-horizon interactions require language models to manage accumulating information: when to update their state, when to preserve their state, and what to ignore. We study this challenge as \textbf{Contextual Belief Management (CBM)}:…

Artificial Intelligence · Computer Science 2026-05-29 Haoming Xu , Weihong Xu , Zongrui Li , Mengru Wang , Yunzhi Yao , Chiyu Wu , Jin Shang , Yu Gong , Shumin Deng