Exploratory Data Analysis Using Fisher Information (Softcover)

Verlag: Springer London

Softcover reprint of hardcover 1st ed. 2007 - Erschienen 30.07.2011 - Kartoniert, 380 Seiten, 235mm x 155mm x 21mm, Sprache(n): eng

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This book uses a mathematical approach to deriving the laws of science and technology that is based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). It is shown how to use EPI to determine the theoretical input - output laws of unknown systems. Depending upon the system, these laws can be deterministic or stochastic and applicable to data used in many complex computational systems. Not only does information characterize the amount and quality of their data, but - much more basically - it can be used to analytically determine how the data arises out of the system, by the EPI principle. The book can be profitably read by someone whose level of math is at the level of an undergraduate degree in science or engineering.

"Sustainability" is often used in a qualitative sense. However, there is at present a great need to quantitatively measure (and monitor) its many qualitative aspects in real systems. Real systems are regarded as sustainable if they can maintain their current, desirable productivity and character without creating unfavorable condi tions elsewhere or in the future [1-4]. Sustainability therefore incorporates both concern for the future of the current system (temporal sustainability) and concern about the degree to which some areas and cultures of the planet are improved at the expense of other areas and cultures (spatial sustainability). That is, sustainability is to hold over both space and time. Sustainability encompasses many disciplines. For example, economic systems are not sustainable if they degrade their natural resource base and impoverish some sectors of the human population [5, 6]. Indices are needed that will measure sustainability through time, and over space, at several scales. These indices must also have the ability to aggregate the many disciplinary facets of sustainability, often incorporatedthrough a large number of environmental, social, and economic variables. Such a multidisciplinary dynamic system can be regarded as sustainable if it maintains a desirable steady state or regime', including fluctuations that are desirable (such as those that respond to natural disturbances [8]).

Professor Emeritus - B. Roy Frieden: B.S., M.S., Ph.D., Professor of Optical Sciences, Univ. of Arizona 1966-2002; books "Probability, Statistical Optics and Data Testing" (Springer-Verlag, 3rd ed., 2001), "Physics from Fisher Information" (Cambridge Univ. Press, 1998), "Science from Fisher Information" (Cambridge Univ. Press, 2004); inventor of principle of Extreme physical information (EPI) Dr. Robert A. Gatenby: BSE, Princeton Univ. MD, University of Pennsylvania.

Professor Emeritus - B. Roy Frieden:

B.S., M.S., Ph.D., Professor of Optical Sciences, Univ. of Arizona 1966-2002; books "Probability, Statistical Optics and Data Testing" (Springer-Verlag, 3^rd ed., 2001), "Physics from Fisher Information" (Cambridge Univ. Press, 1998), "Science from Fisher Information" (Cambridge Univ. Press, 2004); inventor of principle of Extreme physical information (EPI)

Dr. Robert A. Gatenby:

BSE, Princeton Univ. MD, University of Pennsylvania.

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A14437076

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