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This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive…

Dynamical Systems · Mathematics 2015-02-24 David Damanik , Daniel Lenz

This article introduce a new model theory call non-predetermined model theory where functions and relations need not to be determined already and they are determined through time.

Logic · Mathematics 2014-08-21 Rasoul Ramezanian

The time needed to exchange information in the physical world induces a delay term when the respective system is modeled by differential equations. Time delays are hence ubiquitous, being furthermore likely to induce instabilities and with…

Chaotic Dynamics · Physics 2019-10-31 Hendrik Wernecke , Bulcsú Sándor , Claudius Gros

The effect of laziness in the group chase and escape problem is studied using a simple model. The laziness is introduced as random walks in two ways: uniformly and in a "division of labor" way. It is shown that, while the former is always…

Adaptation and Self-Organizing Systems · Physics 2017-07-24 Makoto Masuko , Takayuki Hiraoka , Nobuyasu Ito , Takashi Shimada

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

Dynamical Systems · Mathematics 2026-04-07 Stefano Galatolo , Valerio Lucarini

Time series interpretation aims to provide an explanation of what is observed in terms of its underlying processes. The present work is based on the assumption that the common classification-based approaches to time series interpretation…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Paulo Félix

The problem of behaviour prediction for linear parameter-varying systems is considered in the interval framework. It is assumed that the system is subject to uncertain inputs and the vector of scheduling parameters is unmeasurable, but all…

Systems and Control · Computer Science 2019-08-13 Edouard Leurent , Denis Efimov , Tarek Raïssi , Wilfrid Perruquetti

The idea of decision-aware model learning, that models should be accurate where it matters for decision-making, has gained prominence in model-based reinforcement learning. While promising theoretical results have been established, the…

Machine Learning · Computer Science 2024-03-04 Claas A Voelcker , Arash Ahmadian , Romina Abachi , Igor Gilitschenski , Amir-massoud Farahmand

We analyze families of non-autonomous systems of first-order ordinary differential equations admitting a common time-dependent superposition rule, i.e., a time-dependent map expressing any solution of each of these systems in terms of a…

Classical Analysis and ODEs · Mathematics 2011-11-22 Jose F. Carinena , Janusz Grabowski , Javier de Lucas

We develop an incremental tableau-based decision procedures for the Alternating-time temporal logic ATL and some of its variants. While running within the theoretically established complexity upper bound, we claim that our tableau is…

Logic in Computer Science · Computer Science 2008-09-09 Valentin Goranko , Dmitry Shkatov

Time is deeply woven into how people perceive, and communicate about the world. Almost unconsciously, we provide our language utterances with temporal cues, like verb tenses, and we can hardly produce sentences without such cues. Extracting…

Computation and Language · Computer Science 2020-05-18 Artuur Leeuwenberg , Marie-Francine Moens

The primary theme of this investigation is a decision theoretic account of conditional ought statements (e.g., "You ought to do A, if C") that rectifies glaring deficiencies in classical deontic logic. The resulting account forms a sound…

Artificial Intelligence · Computer Science 2013-03-08 Judea Pearl

Traditionally, Reinforcement Learning (RL) aims at deciding how to act optimally for an artificial agent. We argue that deciding when to act is equally important. As humans, we drift from default, instinctive or memorized behaviors to…

Machine Learning · Computer Science 2022-03-17 Alexis Jacq , Johan Ferret , Olivier Pietquin , Matthieu Geist

A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2014-08-12 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

A lattice-theoretic framework is introduced that permits the study of the conditional independence (CI) implication problem relative to the class of discrete probability measures. Semi-lattices are associated with CI statements and a…

Artificial Intelligence · Computer Science 2008-11-03 Mathias Niepert , Dirk Van Gucht , Marc Gyssens

We introduce a framework for the description of a large class of delay-differential algebraic systems, in which we study three core problems: first we characterize abstractly the well-posedness of the initial-value problem, then we design a…

Dynamical Systems · Mathematics 2017-07-11 Sébastien Boisgérault

Justification logics are modal-like logics with the additional capability of recording the reason, or justification, for modalities in syntactic structures, called justification terms. Justification logics can be seen as explicit…

Logic in Computer Science · Computer Science 2017-03-08 Samuel Bucheli , Meghdad Ghari , Thomas Studer

We present a formulation of the Collatz conjecture that is potentially more amenable to modeling and analysis by automated termination checking tools.

Logic in Computer Science · Computer Science 2021-08-17 Ashish Tiwari

We develop a theory for solving continuous time optimal stopping problems for non-linear expectations. Our motivation is to consider problems in which the stopper uses risk measures to evaluate future rewards.

Optimization and Control · Mathematics 2011-01-11 Erhan Bayraktar , Song Yao

We use the theory of defaults and their meaning of [GS16] to develop (the outline of a) new theory of argumentation.

Logic · Mathematics 2016-12-20 Karl Schlechta
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