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A dynamical system is called contractive if any two solutions approach one another at an exponential rate. More precisely, the dynamics contracts lines at an exponential rate. This property implies highly ordered asymptotic behavior…

Optimization and Control · Mathematics 2021-09-29 Chengshuai Wu , Ilya Kanevskiy , and Michael Margaliot

Active inference is emerging as a possible unifying theory of perception and action in cognitive and computational neuroscience. On this theory, perception is a process of inferring the causes of sensory data by minimising the error between…

Neurons and Cognition · Quantitative Biology 2022-03-10 Manuel Baltieri , Christopher L. Buckley

This paper describes an architecture for robots that combines the complementary strengths of probabilistic graphical models and declarative programming to represent and reason with logic-based and probabilistic descriptions of uncertainty…

Robotics · Computer Science 2018-09-24 Mohan Sridharan , Michael Gelfond , Shiqi Zhang , Jeremy Wyatt

We present an epistemic action theory for tractable epistemic reasoning as an extension to the h-approximation (HPX) theory. In contrast to existing tractable approaches, the theory supports functional fluents and postdictive reasoning with…

Artificial Intelligence · Computer Science 2020-11-26 Manfred Eppe

Human beliefs change, but so do the concepts that underpin them. The recent Abduction, Belief Revision and Conceptual Change (ABC) repair system combines several methods from automated theory repair to expand, contract, or reform logical…

Computation and Language · Computer Science 2022-01-21 Xue Li , Alan Bundy , Eugene Philalithis

We here discuss a model of continuous opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. We concentrate on the version of the…

Other Condensed Matter · Physics 2009-11-10 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard

We study individual decision-making behavioral on generic view. Using a formal mathematical model, we investigate the action mechanism of decision behavioral under subjective perception changing of task attributes. Our model is built on…

General Economics · Economics 2018-09-14 Xingguang Chen

Many socio-economic and biological processes can be modeled as systems of interacting individuals. The behaviour of such systems can be often described within game-theoretic models. In these lecture notes, we introduce fundamental concepts…

Populations and Evolution · Quantitative Biology 2013-05-30 Jacek Miekisz

In this paper we give an ordinal analysis of the theory of second order arithmetic. We do this by working with proof trees -- that is, "deductions" which may not be well-founded. Working in a suitable theory, we are able to represent…

Logic · Mathematics 2024-03-27 Henry Towsner

Due to the expensive and time-consuming annotations (e.g., segmentation) for real-world images, recent works in computer vision resort to synthetic data. However, the performance on the real image often drops significantly because of the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-03 Xinge Zhu , Hui Zhou , Ceyuan Yang , Jianping Shi , Dahua Lin

We study a conservative extension of classical propositional logic distinguishing between four modes of statement: a proposition may be affirmed or denied, and it may be strong or classical. Proofs of strong propositions must be…

Logic in Computer Science · Computer Science 2021-04-19 Pablo Barenbaum , Teodoro Freund

We present, for the first time, an action principle that gives the equations of motion of an extended body possessing multipole moments in an external gravitational field, in the weak field limit. From the action, the experimentally…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jeeva Anandan , Naresh Dadhich , Parampreet Singh

Dual-process theories play a central role in both psychology and neuroscience, figuring prominently in fields ranging from executive control to reward-based learning to judgment and decision making. In each of these domains, two mechanisms…

Neurons and Cognition · Quantitative Biology 2023-10-11 Ted Moskovitz , Kevin Miller , Maneesh Sahani , Matthew M. Botvinick

Much work aims to explain a model's prediction on a static input. We consider explanations in a temporal setting where a stateful dynamical model produces a sequence of risk estimates given an input at each time step. When the estimated…

Machine Learning · Computer Science 2019-07-12 Michaela Hardt , Alvin Rajkomar , Gerardo Flores , Andrew Dai , Michael Howell , Greg Corrado , Claire Cui , Moritz Hardt

This paper focuses on argument component classification for transcribed spoken classroom discussions, with the goal of automatically classifying student utterances into claims, evidence, and warrants. We show that an existing method for…

Computation and Language · Computer Science 2019-09-09 Luca Lugini , Diane Litman

With advances in data-driven machine learning research, a wide variety of prediction models have been proposed to capture spatio-temporal features for the analysis of video streams. Recognising actions and detecting action transitions…

Computer Vision and Pattern Recognition · Computer Science 2024-03-06 Harshala Gammulle , David Ahmedt-Aristizabal , Simon Denman , Lachlan Tychsen-Smith , Lars Petersson , Clinton Fookes

This article is devoted to the study of methods to change defeasible logic programs (de.l.p.s) which are the knowledge bases used by the Defeasible Logic Programming (DeLP) interpreter. DeLP is an argumentation formalism that allows to…

Artificial Intelligence · Computer Science 2011-11-30 Martín O. Moguillansky , Nicolás D. Rotstein , Marcelo A. Falappa , Alejandro J. García , Guillermo R. Simari

Protein dynamics underlie many biological functions, yet remain difficult to characterize due to the high computational cost of molecular dynamics simulations and the scarcity of dynamic structural data. This survey reviews recent advances…

Biomolecules · Quantitative Biology 2026-04-29 Haocheng Tang , Liang Shi , Ya-Shi Zhang , Xixian Liu , Jian Tang , Jiarui Lu

After a brief review of the field formulations and the relativistic non-instantaneous action-at-a-distance formulations of some well known classical theories, we study Rivacoba's generalization of a theory with a linearly rising potential…

High Energy Physics - Theory · Physics 2015-05-28 Domingo J. Louis-Martinez

We extend our earlier work on the compositional structure of cybernetic systems in order to account for the embodiment of such systems. All their interactions proceed through their bodies' boundaries: sensations impinge on their surfaces,…

Adaptation and Self-Organizing Systems · Physics 2022-11-04 Toby St Clere Smithe