Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2003-07-09
Chapter 1 (pp. 33--114) in Thomas S. Deisboeck and J. Yasha Kresh (eds.),_Complex Systems Science in Biomedicine_ (New York: S
Nonlinear Sciences
Adaptation and Self-Organizing Systems
96 pages, 8 figures. Versions 2 and 3: corrects minor typographical errors. Version 4: Expanded examples, updated references (
Scientific paper
In this chapter, I review the main methods and techniques of complex systems science. As a first step, I distinguish among the broad patterns which recur across complex systems, the topics complex systems science commonly studies, the tools employed, and the foundational science of complex systems. The focus of this chapter is overwhelmingly on the third heading, that of tools. These in turn divide, roughly, into tools for analyzing data, tools for constructing and evaluating models, and tools for measuring complexity. I discuss the principles of statistical learning and model selection; time series analysis; cellular automata; agent-based models; the evaluation of complex-systems models; information theory; and ways of measuring complexity. Throughout, I give only rough outlines of techniques, so that readers, confronted with new problems, will have a sense of which ones might be suitable, and which ones definitely are not.
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