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A random set is a generalisation of a random variable, i.e. a set-valued random variable. The random set theory allows a unification of other uncertainty descriptions such as interval variable, mass belief function in Dempster-Shafer theory…

Numerical Analysis · Mathematics 2018-11-27 Truong-Vinh Hoang , Hermann G. Matthies

Although the usefulness of belief networks for reasoning under uncertainty is widely accepted, obtaining numerical probabilities that they require is still perceived a major obstacle. Often not enough statistical data is available to allow…

Artificial Intelligence · Computer Science 2013-02-21 Marek J. Druzdzel , Linda C. van der Gaag

Reasoning, the ability to logically draw conclusions from existing knowledge, is a hallmark of human. Together with perception, they constitute the two major themes of artificial intelligence. While deep learning has pushed the limit of…

Artificial Intelligence · Computer Science 2024-10-18 Zhaocheng Zhu

Visual understanding goes well beyond object recognition. With one glance at an image, we can effortlessly imagine the world beyond the pixels: for instance, we can infer people's actions, goals, and mental states. While this task is easy…

Computer Vision and Pattern Recognition · Computer Science 2019-03-27 Rowan Zellers , Yonatan Bisk , Ali Farhadi , Yejin Choi

Humans are adept at uncovering abstract associations in the world around them, yet the underlying mechanisms remain poorly understood. Intuitively, learning the higher-order structure of statistical relationships should involve complex…

Neurons and Cognition · Quantitative Biology 2020-03-26 Christopher W. Lynn , Ari E. Kahn , Nathaniel Nyema , Danielle S. Bassett

A large number of studies in cognitive science have revealed that probabilistic outcomes of certain human decisions do not agree with the axioms of classical probability theory. The field of Quantum Cognition provides an alternative…

Information Retrieval · Computer Science 2020-01-22 Sagar Uprety , Prayag Tiwari , Shahram Dehdashti , Lauren Fell , Dawei Song , Peter Bruza , Massimo Melucci

Basic experimental findings about human working memory can be described by an algebra built on high-dimensional binary states, representing information items, and two operations: multiplication for binding and addition for bundling. In…

Neurons and Cognition · Quantitative Biology 2021-11-16 Stefan Reimann

The general use of subjective probabilities to model belief has been justified using many axiomatic schemes. For example, ?consistent betting behavior' arguments are well-known. To those not already convinced of the unique fitness and…

Artificial Intelligence · Computer Science 2013-03-25 Paul Snow

Pre-trained language models (LMs) are able to perform complex reasoning without explicit fine-tuning. To understand how pre-training with a next-token prediction objective contributes to the emergence of such reasoning capability, we…

Machine Learning · Computer Science 2024-06-24 Xinyi Wang , Alfonso Amayuelas , Kexun Zhang , Liangming Pan , Wenhu Chen , William Yang Wang

Complex systems show the capacity to aggregate information and to display coordinated activity. In the case of social systems the interaction of different individuals leads to the emergence of norms, trends in political positions, opinions,…

Physics and Society · Physics 2016-04-25 Toni Pérez , Jordi Zamora , Víctor M. Eguíluz

Motivated by team semantics and existential second-order logic, we develop a model-theoretic framework for studying second-order objects such as sets and relations. We introduce a notion of abstract elementary team categories that…

Logic · Mathematics 2026-05-08 Tapani Hyttinen , Joni Puljujärvi , Davide Emilio Quadrellaro

Knowledge is the most precious asset of humankind. People extract the experience from the data that provide for us the reality through the feelings. Generally speaking, it is possible to see the analogy of knowledge elaboration between…

Hardware Architecture · Computer Science 2020-12-22 Viacheslav Dubeyko

After surveying classical results, we introduce a generalized notion of inference system to support structural recursion on non-well-founded data types. Besides axioms and inference rules with the usual meaning, a generalized inference…

Logic in Computer Science · Computer Science 2018-04-23 Francesco Dagnino

Analogy is one of the core capacities of human cognition; when faced with new situations, we often transfer prior experience from other domains. Most work on computational analogy relies heavily on complex, manually crafted input. In this…

Computation and Language · Computer Science 2023-11-06 Shahar Jacob , Chen Shani , Dafna Shahaf

In this paper, we introduce a new model of selection behavior under risk that describes an essential cognitive process for comparing values of objects and making a selection decision. This model is constructed by the quantum-like approach…

Economics · Quantitative Finance 2018-07-18 Masanari Asano , Irina Basieva , Andrei Khrennikov , Masanori Ohya , Yoshiharu Tanaka

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

In a former paper we simplified the proof of a theorem on personalized random walk that is fundamental to graph nodes clustering and generalized it to bipartite graphs for a specific case where the proobability of random jump was…

Social and Information Networks · Computer Science 2017-02-14 Mieczysław A. Kłopotek , Sławomir T. Wierzchom , Robert A. Kłopotek , Elżbieta A. Kłopotek

This work establishes the concept of commonsense scene composition, with a focus on extending Belief Scene Graphs by estimating the spatial distribution of unseen objects. Specifically, the commonsense scene composition capability refers to…

Answer set programming (ASP) is a popular declarative programming paradigm with various applications. Programs can easily have many answer sets that cannot be enumerated in practice, but counting still allows quantifying solution spaces. If…

Artificial Intelligence · Computer Science 2023-11-14 Johannes K. Fichte , Sarah Alice Gaggl , Markus Hecher , Dominik Rusovac

Humans have the capacity to draw common-sense inferences from natural language: various things that are likely but not certain to hold based on established discourse, and are rarely stated explicitly. We propose an evaluation of automated…

Computation and Language · Computer Science 2017-06-05 Sheng Zhang , Rachel Rudinger , Kevin Duh , Benjamin Van Durme
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