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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…

物理学史与哲学 · 物理学 2024-11-19 Casper van Elteren

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…

计算机科学中的逻辑 · 计算机科学 2015-07-03 Thomas Seiller

Structure and dynamics of real nanosystems emerge from the unreduced solution of the underlying interaction problem. It has the property of dynamic multivaluedness giving genuine dynamic randomness and complexity (physics/9806002,…

综合物理 · 物理学 2007-05-23 Andrei P. Kirilyuk

Autonomous systems with cognitive features are on their way into the market. Within complex environments, they promise to implement complex and goal oriented behavior even in a safety related context. This behavior is based on a certain…

人工智能 · 计算机科学 2020-02-20 Henrik J. Putzer , Ernest Wozniak

The concept of {\em complexity} (as a quantity) has been plagued by numerous contradictory and confusing definitions. By explicitly recognising a role for the observer of a system, an observer that attaches meaning to data about the system,…

科普物理 · 物理学 2016-09-08 Russell K. Standish

Modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and function of complex systems. Generally speaking,…

数据分析、统计与概率 · 物理学 2010-05-10 Alex Arenas , Javier Borge-Holthoefer , Sergio Gomez , Gorka Zamora-Lopez

The classical notions of structural controllability and structural observability are receiving increasing attention in Network Science, since they provide a mathematical basis to answer how the network structure of a dynamic system affects…

系统与控制 · 计算机科学 2018-12-13 Marco Tulio Angulo , Andrea Aparicio , Claude H. Moog

While current deep learning systems excel at tasks such as object classification, language processing, and gameplay, few can construct or modify a complex system such as a tower of blocks. We hypothesize that what these systems lack is a…

Computer-based modelling and simulation have become useful tools to facilitate humans to understand systems in different domains, such as physics, astrophysics, chemistry, biology, economics, engineering and social science. A complex system…

人工智能 · 计算机科学 2021-02-03 Xing Su , Yan Kong , Weihua Li

A general notion of information-related complexity applicable to both natural and man-made systems is proposed. The overall approach is to explicitly consider a rational agent performing a certain task with a quantifiable degree of success.…

数据分析、统计与概率 · 物理学 2013-01-18 Eugene Perevalov , David Grace

Building software-driven systems that are easily understood becomes a challenge, with their ever-increasing complexity and autonomy. Accordingly, recent research efforts strive to aid in designing explainable systems. Nevertheless, a common…

人工智能 · 计算机科学 2019-02-11 Dimitri Bohlender , Maximilian A. Köhl

We introduce Complexity as Advantage (CAA), a framework that defines the complexity of a system relative to a family of observers. Instead of measuring complexity as an intrinsic property, we evaluate how much predictive regret a system…

机器学习 · 计算机科学 2025-11-07 Oshri Naparstek

The evolution of complexity has been a central theme for Biology and Artificial Life (Bonner, 1988; Bedau et al., 2000). Complexification has been interpreted in different ways: as a process of diversification between evolving units…

适应与自组织系统 · 物理学 2007-05-23 Carlos Gershenson , Tom Lenaerts

Short-term survival and an exuberant plunge into building our future are generating a new kind of unintended consequence -- hidden fragility. This is a direct effect of the sophistication and structural complexity of the socio-technical…

物理与社会 · 物理学 2020-03-26 James P. Crutchfield

Explainable artificial intelligence techniques are developed at breakneck speed, but suitable evaluation approaches lag behind. With explainers becoming increasingly complex and a lack of consensus on how to assess their utility, it is…

人机交互 · 计算机科学 2023-04-18 Edward Small , Yueqing Xuan , Danula Hettiachchi , Kacper Sokol

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

社会与信息网络 · 计算机科学 2010-09-15 Bo Yang , Jiming Liu

In this paper the author presents some non-conventional thoughts on the complexity of the Universe and the algorithmic reproducibility of the human brain, essentially sparked off by the notion of algorithmic complexity. We must warn that…

历史与综述 · 数学 2007-05-23 Germano D'Abramo

Implicit Computational Complexity makes two aspects implicit, by manipulating programming languages rather than models of com-putation, and by internalizing the bounds rather than using external measure. We survey how automata theory…

计算机科学中的逻辑 · 计算机科学 2015-02-05 Clément Aubert

A place to live is one of the most crucial necessities for all living organisms since the advent of life on planet Earth. The nature of homes has changed considerably over time. At the very early stages, human begins lived in natural places…

其他计算机科学 · 计算机科学 2020-06-22 Arash Mehrjou

Explainability and comprehensibility of AI are important requirements for intelligent systems deployed in real-world domains. Users want and frequently need to understand how decisions impacting them are made. Similarly it is important to…

计算机与社会 · 计算机科学 2019-07-10 Roman V. Yampolskiy