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The broad concept of emergence is instrumental in various of the most challenging open scientific questions -- yet, few quantitative theories of what constitutes emergent phenomena have been proposed. This article introduces a formal theory…

Neurons and Cognition · Quantitative Biology 2021-01-27 Fernando E. Rosas , Pedro A. M. Mediano , Henrik J. Jensen , Anil K. Seth , Adam B. Barrett , Robin L. Carhart-Harris , Daniel Bor

The purpose of the present review is to discuss the role of Soft Computing techniques in understanding the complexity associated with atmospheric phenomena and thus developing predictive models. Problems in atmospheric data analysis are…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Surajit Chattopadhyay

Correctly applying distributed systems concepts is important for software that seeks to be scalable, reliable and fast. For this reason, Distributed Systems is a course included in many Computer Science programs. To both describe current…

Computers and Society · Computer Science 2020-12-02 Cristina L. Abad , Eduardo Ortiz-Holguin , Edwin F. Boza

We explain how recent developments in the fields of realisability models for linear logic -- or geometry of interaction -- and implicit computational complexity can lead to a new approach of implicit computational complexity. This…

Logic in Computer Science · Computer Science 2015-07-03 Thomas Seiller

Computerization of research activities led to the creation of large specialized information resources, platforms, services and software to support scientific research. However, their shortcomings do not allow to fully realizing the…

Digital Libraries · Computer Science 2015-04-21 Dmitry Prokudin

I present my viewpoint on complexity, stressing general arguments and using a rather simple language.

Statistical Mechanics · Physics 2007-05-23 Giorgio Parisi

A quite general interaction process of a multi-component system is analysed by the extended effective potential method liberated from usual limitations of perturbation theory or integrable model. The obtained causally complete solution of…

General Physics · Physics 2014-04-18 Andrei P. Kirilyuk

If a concept is not well defined, there are grounds for its abuse. This is particularly true of complexity, an inherently interdisciplinary concept that has penetrated very different fields of intellectual activity from physics to…

General Physics · Physics 2010-07-01 Tamás Vicsek

The science of complexity is far from being fully understood and even its foundations are not well established. On the other hand, during the last decade, the random motion of particles or waves - the so-called diffusion - has been known…

Statistical Mechanics · Physics 2009-08-14 Guilherme R. Rezende , Luciano C. Lapas , Fernando A. Oliveira

The standard engineering approach to modelling of complex systems is highly compositional. In order to be able to understand (or to control) the behavior of a complex dynamical systems, it is often desirable, if not necessary, to view this…

Systems and Control · Computer Science 2013-07-01 Antoine Girard

This is a chapter in the Encyclopedia of Robotics. It is devoted to the study of complexity of complete (or exact) algorithms for robot motion planning. The term ``complete'' indicates that an approach is guaranteed to find the correct…

Robotics · Computer Science 2020-03-31 Kiril Solovey

Visual scene understanding is a fundamental task in computer vision that aims to extract meaningful information from visual data. It traditionally involves disjoint and specialized algorithms for different tasks that are tailored for…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Américo Pereira , Pedro Carvalho , Luís Côrte-Real

We present a scalable, robust approach to creating quantum programs of arbitrary size and complexity. The approach is based on the true abstraction of the problem. The quantum program is expressed in terms of a high-level model together…

The concept of complexity appears in virtually all areas of knowledge. Its intuitive meaning shares similarities across fields, but disagreements between its details hinders a general definition, leading to a plethora of proposed…

Statistical Mechanics · Physics 2023-10-04 Roberto C. Alamino

While concepts and tools from Theoretical Computer Science are regularly applied to, and significantly support, software development for discrete problems, Numerical Engineering largely employs recipes and methods whose correctness and…

Computational Complexity · Computer Science 2018-01-23 Akitoshi Kawamura , Martin Ziegler

From bird flocking to neural dynamics, complex systems generate fascinating structures and correlations. Often, seemingly simple dynamics lead to intricate emergent properties. Despite their visceral appeal, defining complex systems lacks…

History and Philosophy of Physics · Physics 2024-11-19 Casper van Elteren

The intuition that a long history is required for the emergence of complexity in natural systems is formalized using the notion of depth. The depth of a system is defined in terms of the number of parallel computational steps needed to…

Statistical Mechanics · Physics 2011-11-09 J. Machta

The given work describes methodological principles of design instrumental complex of ontological purpose. Instrumental complex intends for the implementation of the integrated information technologies automated build of domain ontologies.…

Artificial Intelligence · Computer Science 2018-03-28 A. V. Palagin , N. G. Petrenko , V. Yu. Velychko , K. S. Malakhov , Yu. L. Tikhonov

We give a basic overview of computational complexity, query complexity, and communication complexity, with quantum information incorporated into each of these scenarios. The aim is to provide simple but clear definitions, and to highlight…

Quantum Physics · Physics 2016-11-23 Richard Cleve

Modern software systems are becoming increasingly complex and opaque. The integration of explanations within software has shown the potential to address this opacity and can make the system more understandable to end-users. As a result,…

Software Engineering · Computer Science 2024-04-26 Jakob Droste , Hannah Deters , Martin Obaidi , Kurt Schneider
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