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The formalism of the particle dynamics in the space-time, where motion of free particles is primordially stochastic, is considered. The conventional dynamic formalism, obtained for the space-time, where the motion of free particles is…

General Physics · Physics 2011-03-21 Yuri A. Rylov

Researchers have derived many theoretical models for specifying users' insights as they interact with a visualization system. These representations are essential for understanding the insight discovery process, such as when inferring user…

Human-Computer Interaction · Computer Science 2023-10-20 Leilani Battle , Alvitta Ottley

The increasing relevance of areas such as real-time and embedded systems, pervasive computing, hybrid systems control, and biological and social systems modeling is bringing a growing attention to the temporal aspects of computing, not only…

General Literature · Computer Science 2013-08-15 Carlo A. Furia , Dino Mandrioli , Angelo Morzenti , Matteo Rossi

We discuss a formal system of mathematics. We use it to construct the natural numbers.

Logic · Mathematics 2020-04-10 Christoph Thiele

The concept of emergence is critically analyzed in particular with respect to the assumed emergence of mental properties from a neuronal basis. We argue that so-called contextual emergence is needed to avoid an eliminatory reductionism.…

History and Philosophy of Physics · Physics 2016-02-23 Hartmann Römer

Chemical processes in closed systems are poorly controllable since they always relax to equilibrium. Living systems avoid this fate and give rise to a much richer diversity of phenomena by operating under nonequilibrium conditions. Recent…

Chemical Physics · Physics 2019-09-11 Emanuele Penocchio , Riccardo Rao , Massimiliano Esposito

Autonomous systems require the management of several model views to assure properties such as safety and security among others. A crucial issue in autonomous systems design assurance is the notion of emergent behavior; we cannot use their…

Logic in Computer Science · Computer Science 2022-03-31 Georgios Bakirtzis , Ufuk Topcu

Computer experiments have become ubiquitous in science and engineering. Commonly, runs of these simulations demand considerable time and computing, making experimental design extremely important in gaining high quality information with…

Statistics Theory · Mathematics 2017-05-15 Benjamin Haaland , Wenjia Wang , Vaibhav Maheshwari

Recent advances in large language models and vision-language models have led to growing interest in explainable evaluation metrics for image captioning. However, these metrics generate explanations without standardized criteria, and the…

Computation and Language · Computer Science 2025-07-01 Hyunjong Kim , Sangyeop Kim , Jongheon Jeong , Yeongjae Cho , Sungzoon Cho

Automated decision making is often complicated by the complexity of the knowledge involved. Much of this complexity arises from the context sensitive variations of the underlying phenomena. We propose a framework for representing…

Artificial Intelligence · Computer Science 2013-03-25 Tze-Yun Leong

The most important problems for society are describable only in vague terms, dependent on subjective positions, and missing highly relevant data. This thesis is intended to revive and further develop the view that giving non-trivial,…

Logic in Computer Science · Computer Science 2018-09-27 Robert Dustin Wehr

This work is devoted to giving a geometric framework for describing higher-order non-autonomous mechanical systems. The starting point is to extend the Lagrangian-Hamiltonian unified formalism of Skinner and Rusk for these kinds of systems,…

Mathematical Physics · Physics 2012-10-24 Pedro D. Prieto-Martínez , Narciso Román-Roy

We provide a novel notion of what it means to be interpretable, looking past the usual association with human understanding. Our key insight is that interpretability is not an absolute concept and so we define it relative to a target model,…

Artificial Intelligence · Computer Science 2017-07-14 Amit Dhurandhar , Vijay Iyengar , Ronny Luss , Karthikeyan Shanmugam

Systems are typically made from simple components regardless of their complexity. While the function of each part is easily understood, higher order functions are emergent properties and are notoriously difficult to explain. In networked…

Artificial Intelligence · Computer Science 2018-01-18 Jory Schossau , Larissa Albantakis , Arend Hintze

Event-B has been actively used within the EU Deploy project to model dependable systems from various application domains. As a result, we have created a number of formal approaches to explicitly reason about dependability in the refinement…

Software Engineering · Computer Science 2012-10-29 Elena Troubitsyna

It is argued that the conventional formulation of quantum mechanics is inadequate: the usual interpretation of the mathematical formalism in terms of the results of measurements cannot be applied to situations in which discontinuous…

Quantum Physics · Physics 2007-05-23 Anthony Sudbery

The term emergence is increasingly used across scientific disciplines to describe phenomena that arise from interactions among a system's components but cannot be readily inferred by examining those components in isolation. While often…

Physics and Society · Physics 2026-01-23 Abbas K. Rizi

Contemporary complexity theory has been instrumental in providing novel rigorous definitions for some classic philosophical concepts, including emergence. In an attempt to provide an account of emergence that is consistent with complexity…

Adaptation and Self-Organizing Systems · Physics 2015-02-06 Jonathan Lawhead

Modern science increasingly relies on ever-growing observational datasets and automated inference pipelines, under the implicit belief that accumulating more data makes scientific conclusions more reliable. Here we show that this belief can…

Machine Learning · Computer Science 2026-02-06 Zhipeng Zhang , Kai Li

We develop a system which must be able to perform the same inferences that a human reader of an accident report can do and more particularly to determine the apparent causes of the accident. We describe the general framework in which we are…

Artificial Intelligence · Computer Science 2007-05-23 Farid Nouioua , Daniel Kayser