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The paper provides a survey of semantic methods for solution of fundamental tasks in mathematical knowledge management. Ontological models and formalisms are discussed. We propose an ontology of mathematical knowledge, covering a wide range…

Artificial Intelligence · Computer Science 2014-09-01 Alexander Elizarov , Alexander Kirillovich , Evgeny Lipachev , Olga Nevzorova , Valery Solovyev , Nikita Zhiltsov

Data analysis requires translating higher level questions and hypotheses into computable statistical models. We present a mixed-methods study aimed at identifying the steps, considerations, and challenges involved in operationalizing…

Other Computer Science · Computer Science 2021-04-08 Eunice Jun , Melissa Birchfield , Nicole de Moura , Jeffrey Heer , Rene Just

Research in AI using Large-Language Models (LLMs) is rapidly evolving, and the comparison of their performance with human reasoning has become a key concern. Prior studies have indicated that LLMs and humans share similar biases, such as…

Computation and Language · Computer Science 2026-03-09 Hirohiko Abe , Risako Ando , Takanobu Morishita Kentaro Ozeki , Koji Mineshima , Mitsuhiro Okada

This paper introduces an abductive framework for updating knowledge bases represented by extended disjunctive programs. We first provide a simple transformation from abductive programs to update programs which are logic programs specifying…

Databases · Computer Science 2007-05-23 Chiaki Sakama , Katsumi Inoue

Topological simplification is the process of reducing complexity of a function while maintaining its essential features. Its goal is to find a new filter function, which reorders cells of the input complex in a way which eliminates some…

Algebraic Topology · Mathematics 2026-03-18 Jakub Leśkiewicz , Bartosz Furmanek , Michał Lipiński , Dmitriy Morozov

We consider the problem of synthesizing interpretable models that recognize the behaviour of an agent compared to other agents, on a whole set of similar planning tasks expressed in PDDL. Our approach consists in learning logical formulas,…

Artificial Intelligence · Computer Science 2024-10-15 Arnaud Lequen

Effective fusion of data from multiple modalities, such as video, speech, and text, is challenging due to the heterogeneous nature of multimodal data. In this paper, we propose adaptive fusion techniques that aim to model context from…

Computation and Language · Computer Science 2021-01-27 Gaurav Sahu , Olga Vechtomova

The study of belief change has been an active area in philosophy and AI. In recent years two special cases of belief change, belief revision and belief update, have been studied in detail. In a companion paper (Friedman & Halpern, 1997), we…

Artificial Intelligence · Computer Science 2007-05-23 N Friedman , J. Y. Halpern

Abductive reasoning, reasoning for inferring explanations for observations, is often mentioned in scientific, design-related and artistic contexts, but its understanding varies across these domains. This paper reviews how abductive…

Artificial Intelligence · Computer Science 2025-07-14 Abhinav Sood , Kazjon Grace , Stephen Wan , Cecile Paris

Language models can store vast factual knowledge, yet their ability to flexibly use this knowledge for downstream tasks (e.g., via instruction finetuning) remains questionable. This paper investigates four fundamental knowledge manipulation…

Computation and Language · Computer Science 2024-07-17 Zeyuan Allen-Zhu , Yuanzhi Li

Multimodal fusion is crucial in joint decision-making systems for rendering holistic judgments. Since multimodal data changes in open environments, dynamic fusion has emerged and achieved remarkable progress in numerous applications.…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Bing Cao , Yinan Xia , Yi Ding , Changqing Zhang , Qinghua Hu

Computation is commonly defined as the execution of abstract algorithms over symbolic representations, with physical systems treated as substrates that realise predefined operations. While effective for engineered machines, this separation…

Physics and Society · Physics 2026-01-21 Kimia Witte

The aim of this paper is to introduce a new framework for defining abductive reasoning operators based on a notion of retraction in arbitrary logics defined as satisfaction systems. We show how this framework leads to the design of…

Artificial Intelligence · Computer Science 2018-03-06 Marc Aiguier , Jamal Atif , Isabelle Bloch , Ramón Pino-Pérez

Simulation and refinement are variations of the bisimulation relation, where in the former we keep only atoms and forth, and in the latter only atoms and back. Quantifying over simulations and refinements captures the effects of information…

Logic in Computer Science · Computer Science 2025-12-01 Hans van Ditmarsch , Tim French , Rustam Galimullin , Louwe B. Kuijer

This paper describes a computational, declarative approach to prosodic morphology that uses inviolable constraints to denote small finite candidate sets which are filtered by a restrictive incremental optimization mechanism. The new…

Computation and Language · Computer Science 2007-05-23 Markus Walther

Abduction is one of the most important forms of reasoning; it has been successfully applied to several practical problems such as diagnosis. In this paper we investigate whether the computational complexity of abduction can be reduced by an…

Artificial Intelligence · Computer Science 2007-07-25 Paolo Liberatore , Marco Schaerf

Information discounting plays an important role in the theory of belief functions and, generally, in information fusion. Nevertheless, neither classical uniform discounting nor contextual cannot model certain use cases, notably temporal…

Artificial Intelligence · Computer Science 2013-12-20 Marek Kurdej , Véronique Cherfaoui

The latest developments in Artificial Intelligence include diffusion generative models, quite popular tools which can produce original images both unconditionally and, in some cases, conditioned by some inputs provided by the user. Apart…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Stefano Scotta , Alberto Messina

High-dimensional representations for words, text, images, knowledge graphs and other structured data are commonly used in different paradigms of machine learning and data mining. These representations have different degrees of…

Computation and Language · Computer Science 2020-11-26 Sunipa Dev

Generative artificial intelligence (AI) refers to algorithms that create synthetic but realistic output. Diffusion models currently offer state of the art performance in generative AI for images. They also form a key component in more…

Machine Learning · Computer Science 2023-12-27 Catherine F. Higham , Desmond J. Higham , Peter Grindrod
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