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As systems trend toward superintelligence, a natural modeling premise is that agents can self-improve along every facet of their own design. We formalize this with a five-axis decomposition and a decision layer, separating incentives from…

人工智能 · 计算机科学 2026-02-03 Charles L. Wang , Keir Dorchen , Peter Jin

Recognising changes in collective dynamics in complex systems is essential for predicting potential events and their development. Possessing intrinsic attractors with laws associated with scale invariance, self-organised critical dynamics…

统计力学 · 物理学 2024-03-26 Bosiljka Tadic , Alexander Shapoval , Mikhail Shnirman

A wide variety of complex systems exhibit large fluctuations both in space and time that often can be attributed to the presence of some kind of critical phenomena. Under such critical scenario it is well known that the properties of the…

无序系统与神经网络 · 物理学 2019-05-29 Dante R. Chialvo , Sergio A. Cannas , Dietmar Plenz , Tomas S. Grigera

Coordination games describe social or economic interactions in which the adoption of a common strategy has a higher payoff. They are classically used to model the spread of conventions, behaviors, and technologies in societies. Here we…

计算机科学与博弈论 · 计算机科学 2008-12-02 Andrea Montanari , Amin Saberi

The hypothesis of self-organized criticality explains the existence of long-range `space-time' correlations, observed inseparably in many natural dynamical systems. A simple link between these correlations is yet unclear, particularly in…

统计力学 · 物理学 2022-01-05 Naveen Kumar , Suram Singh , Avinash Chand Yadav

In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases,…

Many biological and cognitive systems do not operate deep within one or other regime of activity. Instead, they are poised at critical points located at phase transitions in their parameter space. The pervasiveness of criticality suggests…

适应与自组织系统 · 物理学 2018-06-04 Miguel Aguilera , Manuel G. Bedia

Self-organization in complex systems is a process in which randomness is reduced and emergent structures appear that allow the system to function in a more competitive way with other states of the system or with other systems. It occurs…

适应与自组织系统 · 物理学 2025-06-02 Matthew J Brouillet , Georgi Yordanov Georgiev

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more…

凝聚态物理 · 物理学 2016-08-15 C. J. Pérez , A. Corral , A. Díaz-Guilera , K. Christensen , A. Arenas

We study the Markov dynamics of an infinite birth-and-death system of point entities placed in $\mathbb{R}^d$, in which the constituents disperse and die, also due to competition. Assuming that the dispersal and competition kernels are just…

动力系统 · 数学 2017-02-10 Yuri Kondratiev , Yuri Kozitsky

Using dynamic renormalization group we study the transport in driven diffusive systems in the presence of quenched random drift velocity with long-range correlations along the transport direction. In dimensions $d\mathopen< 4$ we find fixed…

统计力学 · 物理学 2009-10-31 Bosiljka Tadic

It has long been argued that neural networks have to establish and maintain a certain intermediate level of activity in order to keep away from the regimes of chaos and silence. Strong evidence for criticality has been observed in terms of…

无序系统与神经网络 · 物理学 2012-12-14 Matthias Rybarsch , Stefan Bornholdt

We consider large but finite systems of identical agents on the line with up to next nearest neighbor asymmetric coupling. Each agent is modelled by a linear second order differential equation, linearly coupled to up to four of its…

动力系统 · 数学 2021-07-23 J. Herbrych , A. G. Chazirakis , N. Christakis , J. J. P. Veerman

The notion of Self-organized criticality (SOC) had been conceived to interpret the spontaneous emergence of long range correlations in nature. Since then many different models had been introduced to study SOC. All of them have few common…

统计力学 · 物理学 2023-05-03 S. S. Manna

We describe the construction of a conserved reaction-diffusion system that exhibits self-organized critical (avalanche-like) behavior under the action of a slow addition of particles. The model provides an illustration of the general…

统计力学 · 物理学 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

Diffusion Policy has shown great performance in robotic manipulation tasks under stochastic perturbations, due to its ability to model multimodal action distributions. Nonetheless, its reliance on a computationally expensive reverse-time…

机器人学 · 计算机科学 2025-11-20 Gabriel Lauzier , Alexandre Girard , François Ferland

In nature self-organized systems as flock of birds, school of fishes or herd of sheeps have to deal with the presence of external agents such as predators or leaders which modify their internal dynamic. Such situations take into account a…

生物物理 · 物理学 2012-10-15 Giacomo Albi , Lorenzo Pareschi

Usually, in order to investigate the evolution of a theory, one may find the critical points of the system and then perform perturbations around these critical points to see whether they are stable or not. This local method is very useful…

宇宙学与河外天体物理 · 物理学 2014-03-19 Chao-Jun Feng , Xin-Zhou Li , Li-Yan Liu

Natural flocks (aligned) and swarms (non-aligned) both exhibit features of near-criticality, challenging their treatment as two ends of the same phase transition. We present a model for the aggregation of active individuals, in which their…

适应与自组织系统 · 物理学 2025-11-26 Joao Lizárraga , Marcus de Aguiar

Human and artificial organizations may be described as networks of interacting parts. Those parts exchange data and control information and, as a result of these interactions, organizations produce emergent behaviors and purposes -- traits…

计算机与社会 · 计算机科学 2015-05-22 Vincenzo De Florio