Ebook: Predicting the Future: Completing Models of Observed Complex Systems
Author: Henry Abarbanel (auth.)
- Tags: Statistical Physics Dynamical Systems and Complexity, Complex Systems, Numerical and Computational Physics, Simulation and Modeling, Neurosciences
- Series: Understanding Complex Systems
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Through the development of an exact path integral for use in transferring information from observations to a model of the observed system, the author provides a general framework for the discussion of model building and evaluation across disciplines. Through many illustrative examples drawn from models in neuroscience, geosciences, and nonlinear electrical circuits, the concepts are exemplified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model’s consistency with observations is explored.
Predicting the Future: Completing Models of Observed Complex Systems provides a general framework for the discussion of model building and validation across a broad spectrum of disciplines. This is accomplished through the development of an exact path integral for use in transferring information from observations to a model of the observed system. Through many illustrative examples drawn from models in neuroscience, fluid dynamics, geosciences, and nonlinear electrical circuits, the concepts are exemplified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model's consistency with observations is investigated.
Using highly instructive examples, the problems of data assimilation and the means to treat them are clearly illustrated. This book will be useful for students and practitioners of physics, neuroscience, regulatory networks, meteorology and climate science, network dynamics, fluid dynamics, and other systematic investigations of complex systems.
Predicting the Future: Completing Models of Observed Complex Systems provides a general framework for the discussion of model building and validation across a broad spectrum of disciplines. This is accomplished through the development of an exact path integral for use in transferring information from observations to a model of the observed system. Through many illustrative examples drawn from models in neuroscience, fluid dynamics, geosciences, and nonlinear electrical circuits, the concepts are exemplified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model's consistency with observations is investigated.
Using highly instructive examples, the problems of data assimilation and the means to treat them are clearly illustrated. This book will be useful for students and practitioners of physics, neuroscience, regulatory networks, meteorology and climate science, network dynamics, fluid dynamics, and other systematic investigations of complex systems.
Content:
Front Matter....Pages i-xvi
An Overview: The Challenge of Complex Systems....Pages 1-5
Examples as a Guide to the Issues....Pages 7-50
General Formulation of Statistical Data Assimilation....Pages 51-84
Evaluating the Path Integral....Pages 85-124
Twin Experiments....Pages 125-197
Analysis of Experimental Data....Pages 199-220
Unfinished Business....Pages 221-226
Back Matter....Pages 227-238
Predicting the Future: Completing Models of Observed Complex Systems provides a general framework for the discussion of model building and validation across a broad spectrum of disciplines. This is accomplished through the development of an exact path integral for use in transferring information from observations to a model of the observed system. Through many illustrative examples drawn from models in neuroscience, fluid dynamics, geosciences, and nonlinear electrical circuits, the concepts are exemplified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model's consistency with observations is investigated.
Using highly instructive examples, the problems of data assimilation and the means to treat them are clearly illustrated. This book will be useful for students and practitioners of physics, neuroscience, regulatory networks, meteorology and climate science, network dynamics, fluid dynamics, and other systematic investigations of complex systems.
Content:
Front Matter....Pages i-xvi
An Overview: The Challenge of Complex Systems....Pages 1-5
Examples as a Guide to the Issues....Pages 7-50
General Formulation of Statistical Data Assimilation....Pages 51-84
Evaluating the Path Integral....Pages 85-124
Twin Experiments....Pages 125-197
Analysis of Experimental Data....Pages 199-220
Unfinished Business....Pages 221-226
Back Matter....Pages 227-238
....