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We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

Maximum likelihood estimation is effective for identifying dynamical systems, but applying it to large networks becomes computationally prohibitive. This paper introduces a maximum likelihood estimation method that enables identification of…

系统与控制 · 电气工程与系统科学 2025-11-06 João Victor Galvão da Mata , Anders Hansson , Martin S. Andersen

Although there is growing interest in measuring integrated information in computational and cognitive systems, current methods for doing so in practice are computationally unfeasible. Existing and novel integration measures are investigated…

神经元与认知 · 定量生物学 2017-02-08 Max Tegmark

Experience in the physical sciences suggests that the only realistic means of understanding complex systems is through the use of mathematical models. Typically, this has come to mean the identification of quantitative models expressed as…

人工智能 · 计算机科学 2011-11-02 George M. Coghill , Ross D. King , Ashwin Srinivasan

Achieving greater autonomy in automation systems is crucial for handling unforeseen situations effectively. However, this remains challenging due to technological limitations and the complexity of real-world environments. This paper…

计算工程、金融与科学 · 计算机科学 2025-07-08 Johannes Sigel , Daniel Dittler , Nasser Jazdi , Michael Weyrich

In this paper we develop a new data-driven closure approximation method to compute the statistical properties of quantities of interest in high-dimensional stochastic dynamical systems. The new method relies on estimating conditional…

动力系统 · 数学 2018-09-26 Catherine Brennan , Daniele Venturi

Physical systems are modelled and investigated within simulation software in an increasing range of applications. In reality an investigation of the system is often performed by empirical test scenarios which are related to typical…

机器学习 · 统计学 2018-10-05 Dirk Surmann , Uwe Ligges , Claus Weihs

Information theory is a powerful tool to express principles to drive autonomous systems because it is domain invariant and allows for an intuitive interpretation. This paper studies the use of the predictive information (PI), also called…

机器人学 · 计算机科学 2013-07-19 Georg Martius , Ralf Der , Nihat Ay

The human nervous system utilizes synaptic plasticity to solve optimization problems. Previous studies have tried to add the plasticity factor to the training process of artificial neural networks, but most of those models require complex…

神经与进化计算 · 计算机科学 2022-04-13 Amir Valizadeh

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…

适应与自组织系统 · 物理学 2015-02-06 Jonathan Lawhead

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

数值分析 · 数学 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

Stochastic optimization algorithms have been successfully applied in several domains to find optimal solutions. Because of the ever-growing complexity of the integrated systems, novel stochastic algorithms are being proposed, which makes…

人工智能 · 计算机科学 2024-06-04 Sowmya Chandrasekaran , Thomas Bartz-Beielstein

Identifying the relevant coarse-grained degrees of freedom in a complex physical system is a key stage in developing powerful effective theories in and out of equilibrium. The celebrated renormalization group provides a framework for this…

统计力学 · 物理学 2024-11-27 Doruk Efe Gökmen , Zohar Ringel , Sebastian D. Huber , Maciej Koch-Janusz

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between exceedingly ordered and too noisy states. We here…

种群与进化 · 定量生物学 2016-03-23 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Amos Maritan , Miguel A. Munoz

Hierarchy is one of the most conspicuous features of numerous natural, technological and social systems. The underlying structures are typically complex and their most relevant organizational principle is the ordering of the ties among the…

物理与社会 · 物理学 2014-03-05 Tamás Nepusz , Tamás Vicsek

Submodular optimization generalizes many classic problems in combinatorial optimization and has recently found a wide range of applications in machine learning (e.g., feature engineering and active learning). For many large-scale…

数据结构与算法 · 计算机科学 2023-04-11 Matthew Fahrbach , Vahab Mirrokni , Morteza Zadimoghaddam

In real life, mostly problems are dynamic. Many algorithms have been proposed to handle the static problems, but these algorithms do not handle or poorly handle the dynamic environment problems. Although, many algorithms have been proposed…

神经与进化计算 · 计算机科学 2025-09-29 Zahid Iqbal , Waseem Shahzad

This entry in the Encyclopedia of Complexity and Systems Science, Springer present a summary of some of the concepts and calculational tools that have been developed in attempts to apply statistical physics approaches to seismology. We…

地球物理 · 物理学 2008-04-22 D. Sornette , M. J. Werner

Deciding what to sense is a crucial task, made harder by dependencies and by a nonadditive utility function. We develop approximation algorithms for selecting an optimal set of measurements, under a dependency structure modeled by a…

人工智能 · 计算机科学 2012-06-18 Yan Radovilsky , Solomon Eyal Shimony

We propose a general-purpose method for finding high-quality solutions to hard optimization problems, inspired by self-organizing processes often found in nature. The method, called Extremal Optimization, successively eliminates extremely…

统计力学 · 物理学 2018-07-06 S. Boettcher , A. Percus