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This paper endeavors to show how a fractal-based approach can offer an alternative to differential equations for describing rates of interaction in complex systems. The specific example given is for combat analysis. This concerns a scenario…

适应与自组织系统 · 物理学 2007-05-23 M. K. Lauren

Like with most large-scale systems, the evaluation of quantitative properties of collective adaptive systems is an important issue that crosscuts all its development stages, from design (in the case of engineered systems) to runtime…

系统与控制 · 计算机科学 2016-07-12 Mirco Tribastone

In multi-state life insurance, an adequate balance between analytic tractability, computational efficiency, and statistical flexibility is of great importance. This might explain the popularity of Markov chain modelling, where matrix…

概率论 · 数学 2024-04-25 Jamaal Ahmad , Mogens Bladt , Christian Furrer

This work introduces a formulation of model predictive control (MPC) which adaptively reasons about the complexity of the model based on the task while maintaining feasibility and stability guarantees. Existing MPC implementations often…

机器人学 · 计算机科学 2024-11-07 Joseph Norby , Ardalan Tajbakhsh , Yanhao Yang , Aaron M. Johnson

Agent-based modeling is a computational dynamic modeling technique that may be less familiar to some readers. Agent-based modeling seeks to understand the behaviour of complex systems by situating agents in an environment and studying the…

多智能体系统 · 计算机科学 2023-04-19 G. Wade McDonald , Nathaniel D. Osgood

In most practical adaptive signal processing systems, e.g., active noise control, active vibration control, and acoustic echo cancellation, substantial nonlinearities that cannot be neglected exist. In this paper, we analyze the behaviors…

信号处理 · 电气工程与系统科学 2022-11-23 Seiji Miyoshi

People organize in groups and contagions spread across them. A simple stochastic process, yet complex to model due to dynamical correlations within and between groups. Moreover, groups can evolve if agents join or leave in response to…

物理与社会 · 物理学 2025-05-22 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

机器学习 · 计算机科学 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

Lanchester's model of combat has certain deficiencies in its standard form arising from the neglect of the influence of random fluctuations. Several approaches to rectify this have been proposed and various results are scattered throughout…

物理与社会 · 物理学 2019-05-09 Michael J. Kearney , Richard J. Martin

A variety of computational models have been developed to describe active matter at different length and time scales. The diversity of the methods and the challenges in modeling active matter---ranging from molecular motors and cytoskeletal…

软凝聚态物质 · 物理学 2020-04-21 M Reza Shaebani , Adam Wysocki , Roland G Winkler , Gerhard Gompper , Heiko Rieger

Multi-agent systems often operate under feedback, adaptation, and non-stationarity, yet many simulation studies retain static decision rules and fixed control parameters. This paper introduces a general adaptive multi-agent learning…

多智能体系统 · 计算机科学 2025-11-26 Roberto Garrone

Recent success in deep reinforcement learning for continuous control has been dominated by model-free approaches which, unlike model-based approaches, do not suffer from representational limitations in making assumptions about the world…

机器学习 · 计算机科学 2019-05-07 Muhammad Burhan Hafez , Cornelius Weber , Matthias Kerzel , Stefan Wermter

Active filaments, such as microtubules with attached cargo-carrying motor proteins, are important dynamic structures for fluid transport in and around living cells. The mathematical models of active filaments appearing in the literature…

流体动力学 · 物理学 2025-08-19 Ilteber R. Ozdemir , Bethany Clarke , Yongyun Hwang , Eric E. Keaveny

Active nematic models explain the topological defects and flow patterns observed in epithelial tissues, but the nature of active stress-whether it is extensile or contractile, a key parameter of the theory-is not well established…

软凝聚态物质 · 物理学 2025-11-11 Jan Rozman , Sumesh P. Thampi , Julia M. Yeomans

In the study of the evolution of cooperation, resource limitations are usually assumed just to provide a finite population size. Recently, however, agent-based models have pointed out that resource limitation may modify the original…

生物物理 · 物理学 2012-10-26 Rubén J. Requejo , Juan Camacho

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

社会与信息网络 · 计算机科学 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

The dynamical behavior of non-uniform cellular automata is compared with the one of classical cellular automata. Several differences and similarities are pointed out by a series of examples. Decidability of basic properties like…

形式语言与自动机理论 · 计算机科学 2011-07-27 Alberto Dennunzio , Enrico Formenti , Julien Provillard

Survival models capture the relationship between an accumulating hazard and the occurrence of a singular event stimulated by that accumulation. When the model for the hazard is sufficiently flexible survival models can accommodate a wide…

统计方法学 · 统计学 2024-03-04 Michael Betancourt

Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, but analytical tractability often comes at the cost of…

In this report the authors examine the possibility of using the Fractal Attrition Equation as a metamodel to describe outcomes of cellular automaton combat models. This Fractal Attrition Equation has been proposed as a replacement for the…

适应与自组织系统 · 物理学 2007-05-23 M. K. Lauren , J. M. Smith , J. Moffat , N. D. Perry
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