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Exploratory data analysis using Fisher information

Exploratory data analysis using Fisher information (2회 대출)

자료유형
단행본
개인저자
Frieden, B. Roy , 1936- Gatenby, Robert A.
서명 / 저자사항
Exploratory data analysis using Fisher information / B. Roy Frieden and Robert A. Gatenby (eds.).
발행사항
London :   Springer ,   c2007.  
형태사항
xiii, 363 p. : ill. ; 24 cm.
ISBN
9781846285066 (hbk.) 1846285062 (hbk.)
서지주기
Includes bibliographical references and index.
일반주제명
System analysis. Mathematical analysis.
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245 0 0 ▼a Exploratory data analysis using Fisher information / ▼c B. Roy Frieden and Robert A. Gatenby (eds.).
260 ▼a London : ▼b Springer , ▼c c2007.
300 ▼a xiii, 363 p. : ▼b ill. ; ▼c 24 cm.
504 ▼a Includes bibliographical references and index.
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650 0 ▼a Mathematical analysis.
700 1 ▼a Frieden, B. Roy , ▼d 1936-
700 1 ▼a Gatenby, Robert A.
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 003 E96 등록번호 121155512 (2회 대출) 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

This book uses a mathematical approach to deriving the laws of science and technology, based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). The authors show how to use EPI to determine the theoretical input/output laws of unknown systems. Will benefit readers whose math skill is at the level of an undergraduate science or engineering degree.



"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]).

New feature

The basic goal of a research scientist is to understand a given, unknown system. This innovative book develops a systematic approach for achieving this goal. All science is ultimately dependent upon observation which, in turn, requires a flow of information. Fisher information, in particular, is found to provide the key to understanding the system. It is developed as a new tool of exploratory data analysis, and is applied to a wide scope of systems problems. These range from molecules in a gas to biological organisms in their ecologies, to the socio-economic organization of people in their societies, to the physical constants in the universe and, ultimately, to proto-universes in the multiverse.

Examples of system input-output laws discovered by the approach include the famous quarter-power laws of biology and the Tobin q-theory of optimized economic investment. System likelihood laws that can be determined include the probability density functions defining in situ cancer growth and a wide class of systems (thermodynamic, economic, cryptographic) obeying Schrodinger-like equations. Novel uncertainty principles in the fields of biology and economics are also found to hold.

B. Roy Frieden and Robert A. Gatenby are professors at the University of Arizona. Frieden is in the College of Optics, and Gatenby is Chairman of the Radiology Dept. at the Arizona Health Sciences Center. Frieden has pioneered the use of information for developing image restoration approaches, and for understanding the physics of unknown systems, both nonliving and living. Gatenby has actively promoted the study of information as a determinant of healthy and malignant growth processes, and has developed integrated mathematical models and empirical techniques for this purpose.




정보제공 : Aladin

목차

to Fisher Information: Its Origin, Uses, and Predictions.- Financial Economics from Fisher Information.- Growth Characteristics of Organisms.- Information and Thermal Physics.- Parallel Information Phenomena of Biology and Astrophysics.- Encryption of Covert Information Through a Fisher Game.- Applications of Fisher Information to the Management of Sustainable Environmental Systems.- Fisher Information in Ecological Systems.- Sociohistory: An Information Theory of Social Changef.


정보제공 : Aladin

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