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Agent-Based Modeling (ABM)×フラクタル解析×再帰定量化解析 (RQA)×
分野シミュレーション複雑系複雑系
系統Process / pipelineMachine learningMachine learning
提唱年1970s–1990s (formalized as a field)19832007
提唱者Thomas Schelling and Robert Axelrod (foundational contributions, 1970s–1990s)Benoit MandelbrotMarwan, Romano, Thiel & Kurths
種類Computational simulation methodGeometric complexity quantificationNonlinear time-series characterization
原典Axelrod, R. (1997). The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration. Princeton University Press. DOI ↗Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. ISBN: 978-0-7167-1186-5Marwan, N., Romano, M. C., Thiel, M., & Kurths, J. (2007). Recurrence plots for the analysis of complex systems. Physics Reports, 438(5–6), 237–329. DOI ↗
別名ABM, Ajan Tabanlı Modelleme (ABM), multi-agent simulation, individual-based modelingBox-Counting Analysis, Fractal Dimension Estimation, Multifractal Analysis, Fraktal AnalizRQA, Recurrence Plot Analysis, Nonlinear Recurrence Analysis, Tekrarlama Kantifikasyon Analizi
関連522
概要Agent-based modeling (ABM) is a computational simulation method, formalized through the work of Thomas Schelling and Robert Axelrod in the 1970s–1990s, that simulates the behavior of complex systems by specifying and running autonomous agents — individuals, firms, cells, or any bounded entity — whose local interactions with each other and with their environment collectively produce global, system-level patterns that could not be predicted from any single agent's rules alone.Fractal Analysis quantifies the self-similar, scale-invariant complexity of geometric objects and time series through the fractal dimension D and the Hurst exponent H. Introduced systematically by Benoit Mandelbrot in his 1983 landmark work, the framework extends classical Euclidean geometry to irregular shapes found in nature, finance, physiology, and materials science. It provides a single dimensionless index that captures how completely a pattern fills space across multiple scales.Recurrence Quantification Analysis (RQA) is a nonlinear method for characterizing the dynamics of a time series by quantifying the small-scale structure of its recurrence plot. Introduced in its modern, comprehensive form by Marwan, Romano, Thiel, and Kurths in 2007, RQA extracts scalar measures — such as recurrence rate, determinism, laminarity, and Shannon entropy — that capture periodicity, chaos, stationarity, and transitions in complex dynamical systems.
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ScholarGate手法を比較: Agent-Based Modeling · Fractal Analysis · Recurrence Quantification Analysis. 2026-06-18に以下より取得 https://scholargate.app/ja/compare