Edwin Lim's Books

An Introduction to Optimization

With Applications to Machine Learning

By: Edwin K. P. Chong,Wu-Sheng Lu,Stanislaw H. Żak

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An Introduction to Optimization

With Applications to Machine Learning

By: Edwin K. P. Chong,Wu-Sheng Lu,Stanislaw H. Żak

An Introduction to Optimization Accessible introductory textbook on optimization theory and methods, with an emphasis on engineering design, featuring MATLAB® exercises and worked examples Fully updated to reflect modern developments in the field, the Fifth Edition of An Introduction to Optimization fills the need for an accessible, yet rigorous, introduction to optimization theory and methods, featuring innovative coverage and a straightforward approach. The book begins with a review of basic definitions and notations while also providing the related fundamental background of linear algebra, geometry, and calculus. With this foundation, the authors explore the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. In addition, the book includes an introduction to artificial neural networks, convex optimization, multi-objective optimization, and applications of optimization in machine learning. Numerous diagrams and figures found throughout the book complement the written presentation of key concepts, and each chapter is followed by MATLAB® exercises and practice problems that reinforce the discussed theory and algorithms. The Fifth Edition features a new chapter on Lagrangian (nonlinear) duality, expanded coverage on matrix games, projected gradient algorithms, machine learning, and numerous new exercises at the end of each chapter. An Introduction to Optimization includes information on: The mathematical definitions, notations, and relations from linear algebra, geometry, and calculus used in optimization Optimization algorithms, covering one-dimensional search, randomized search, and gradient, Newton, conjugate direction, and quasi-Newton methods Linear programming methods, covering the simplex algorithm, interior point methods, and duality Nonlinear constrained optimization, covering theory and algorithms, convex optimization, and Lagrangian duality Applications of optimization in machine learning, including neural network training, classification, stochastic gradient descent, linear regression, logistic regression, support vector machines, and clustering. An Introduction to Optimization is an ideal textbook for a one- or two-semester senior undergraduate or beginning graduate course in optimization theory and methods. The text is also of value for researchers and professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

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Page Count

677

Publisher

John Wiley & Sons

Published Date

ISBN 10

1119877652

ISBN 13

9781119877653

Abstract Harmonic Analysis

Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

By: Edwin Hewitt,Kenneth A. Ross

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Abstract Harmonic Analysis

Structure and Analysis for Compact Groups Analysis on Locally Compact Abelian Groups

By: Edwin Hewitt,Kenneth A. Ross

This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and comprehensive than any book already existing on the subject...in connection with every problem treated the book offers a many-sided outlook and leads up to most modern developments. Carefull attention is also given to the history of the subject, and there is an extensive bibliography...the reviewer believes that for many years to come this will remain the classical presentation of abstract harmonic analysis." Publicationes Mathematicae

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Page Count

778

Publisher

Springer

Published Date

ISBN 10

3642620086

ISBN 13

9783642620089

Lexicon of Reconstructed Pronunciation

in Early Middle Chinese, Late Middle Chinese, and Early Mandarin

By: Edwin G. Pulleyblank

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Lexicon of Reconstructed Pronunciation

in Early Middle Chinese, Late Middle Chinese, and Early Mandarin

By: Edwin G. Pulleyblank

Known for his pioneering work in Chinese historical phonetics, Edwin Pulleyblank has compiled this Lexicon to present in convenient dictionary form the result of his researches on the phonology of Middle Chinese and its evolution to Mandarin. The Lexicon complements Pulleyblank's earlier book, Middle Chinese, by providing reconstructed pronunciation for approximately 8,000 Chinese characters at three historical stages. Early Middle Chinese is the language of the Qieyun rhyme dictionary of AD 601, which codified the standard literary language of both North and South China the preceding period of division. Pulleyblank's reconstruction is a thorough reworking of that of Bernhard Karlgren, completed in the twenties, and in some respects differs radically from it. Late Middle Chinese is the standard language of the High Tang Dynasty, based on the dialect of the capital, Chang'an. It has not been reconstructed previously as a separate stage but is of special importance, since it is the ancestor of most modern dialects. Early Mandarin represents the speech of the Yuan capital, Dadu (present Beijing), around the year 1300, for which Pulleyblank's reconstruction differs considerably from that of Hugh M. Stimson. The sources and methods used in these reconstructions were fully discussed in Middle Chinese, but recent developments in phonological theory have led to some modifications in detail. The entries are arranged alphabetically according to the Pinyin system with an index, by the traditional Kangxi radical and stroke numbers. The Morohashi number is also given for each character, enabling easy reference to this important Chinese thesaurus. Another useful feature of the Lexicon is the inclusion of the numbers in Karlgren's Grammata Serica for characters that are included in that work. Concise English equivalents for the Chinese words are also provided. Reconstructed forms are given in the International Phonetic Alphabet. Though this requires a number of phonetic signs and diacritical marks, these are carefully explained in the introduction. Every effort has been made to provide a useful tool for students of Chinese literature and China's relations with foreign countries, as well as for specialists in Chinese linguistics.

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Page Count

498

Publisher

UBC Press

Published Date

ISBN 10

0774844671

ISBN 13

9780774844673

Historical Processes

By: Donald Andrew Dawson,Edwin Arend Perkins

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Historical Processes

By: Donald Andrew Dawson,Edwin Arend Perkins

The historical process is constructed to be a superprocess associated with a general motion process and branching mechanism, which is enriched so as to contain information on genealogy. In other words, it is a Markov process taking values in the space of measures on the set of possible histories. Using the canonical representation for the infinitely divisible random measures which describe the process at fixed times, the authors obtain analytical and probabilistic representations for the associated Palm measures. They employ these representations to obtain results on the modulus of continuity and equilibirium structure for a class of superprocesses in Rd and to establish that super-Brownian motion in dimensions d 53 has constant density with respect to the appropriate Hausdorff measure.

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189

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821825089

ISBN 13

9780821825082

Complex Analysis

By: Edwin H Hadlock,Theral O Moore

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Complex Analysis

By: Edwin H Hadlock,Theral O Moore

This is a textbook for a first course in functions of complex variable, assuming a knowledge of freshman calculus. It is designed for students in engineering, physics, and mathematics. Without sacrificing ease and clarity of proofs, mathematical preciseness and rigor are stressed. Cross references are used to justify almost every step in each proof. Solutions and hints are given to many exercises.

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Page Count

403

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813103663

ISBN 13

9789813103665

Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXIX - 1999

By: Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart

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Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXIX - 1999

By: Erwin Bolthausen,Edwin Perkins,Aad, van der Vaart

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 8th-24th July, 1999. We thank the authors for all the hard work they accomplished. Their lectures are a work of reference in their domain. The School brought together 85 participants, 31 of whom gave a lecture concerning their research work. At the end of this volume you will find the list of participants and their papers. Finally, to facilitate research concerning previous schools we give here the number of the volume of "Lecture Notes" where they can be found: Lecture Notes in Mathematics 1975: n ° 539- 1971: n ° 307- 1973: n ° 390- 1974: n ° 480- 1979: n ° 876- 1976: n ° 598- 1977: n ° 678- 1978: n ° 774- 1980: n ° 929- 1981: n ° 976- 1982: n ° 1097- 1983: n ° 1117- 1988: n ° 1427- 1984: n ° 1180- 1985-1986 et 1987: n ° 1362- 1989: n ° 1464- 1990: n ° 1527- 1991: n ° 1541- 1992: n ° 1581- 1993: n ° 1608- 1994: n ° 1648- 1995: n ° 1690- 1996: n ° 1665- 1997: n ° 1717- 1998: n ° 1738- Lecture Notes in Statistics 1971: n ° 307- Table of Contents Part I Erwin Bolthausen: Large Deviations and Interacting Random Walks 1 On the construction of the three-dimensional polymer measure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Self-attracting random walks. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 3 One-dimensional pinning-depinning transitions. . . . . . . . . . . 105 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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469

Publisher

Springer

Published Date

ISBN 10

3540479449

ISBN 13

9783540479444

Singapore

The Unexpected Nation

By: Edwin Lee

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Singapore

The Unexpected Nation

By: Edwin Lee

In 2015, Singapore celebrates its 50th anniversary of independence. This book covers the complex historical forces and circumstances that shaped this nation. It tells of Britain's imperial visions and schemes, and of how their failure cast a shadow on the story of Singapore's incorporation into the Federation of Malaysia and expulsion from it.

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Page Count

732

Publisher

Institute of Southeast Asian Studies

Published Date

ISBN 10

9812307966

ISBN 13

9789812307965

Computational Intelligence for Optimization

By: Nirwan Ansari,Edwin Hou

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Computational Intelligence for Optimization

By: Nirwan Ansari,Edwin Hou

The field of optimization is interdisciplinary in nature, and has been making a significant impact on many disciplines. As a result, it is an indispensable tool for many practitioners in various fields. Conventional optimization techniques have been well established and widely published in many excellent textbooks. However, there are new techniques, such as neural networks, simulated anneal ing, stochastic machines, mean field theory, and genetic algorithms, which have been proven to be effective in solving global optimization problems. This book is intended to provide a technical description on the state-of-the-art development in advanced optimization techniques, specifically heuristic search, neural networks, simulated annealing, stochastic machines, mean field theory, and genetic algorithms, with emphasis on mathematical theory, implementa tion, and practical applications. The text is suitable for a first-year graduate course in electrical and computer engineering, computer science, and opera tional research programs. It may also be used as a reference for practicing engineers, scientists, operational researchers, and other specialists. This book is an outgrowth of a couple of special topic courses that we have been teaching for the past five years. In addition, it includes many results from our inter disciplinary research on the topic. The aforementioned advanced optimization techniques have received increasing attention over the last decade, but relatively few books have been produced.

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228

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461563313

ISBN 13

9781461563310

Algebraic Topology

By: Edwin H. Spanier,Edwin Henry Spanier

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Algebraic Topology

By: Edwin H. Spanier,Edwin Henry Spanier

This book surveys the fundamental ideas of algebraic topology. The first part covers the fundamental group, its definition and application in the study of covering spaces. The second part turns to homology theory including cohomology, cup products, cohomology operations and topological manifolds. The final part is devoted to Homotropy theory, including basic facts about homotropy groups and applications to obstruction theory.

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548

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387944265

ISBN 13

9780387944265

Algebraic Number Theory

By: Edwin Weiss

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Algebraic Number Theory

By: Edwin Weiss

Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields.

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Page Count

308

Publisher

Courier Corporation

Published Date

ISBN 10

048615436X

ISBN 13

9780486154367

Capital Theory and Dynamics

By: Edwin Burmeister

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Capital Theory and Dynamics

By: Edwin Burmeister

Capital theory and dynamics are cornerstones for almost every branch of economics. Except in a fictional world where the economies of yesterday, today, and tomorrow are identical, issues of capital formation and dynamic behaviour must always arise. Although the specialist literature is technically demanding, Professor Burmeister shows that its important results can be understood and their economic significance grasped by those who do not possess the "mathematical literacy" required to follow rigorous proofs. Even if future events are known with certainty, they still influence the current economic state. This is the pure role of time. That future events are not known with certainty adds another complexity. This book focuses mainly on the pure role of time.

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358

Publisher

CUP Archive

Published Date

ISBN 10

0521228891

ISBN 13

9780521228893

Calculus

By: Dale E. Varberg,Edwin Joseph Purcell,Steven E. Rigdon

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Calculus

By: Dale E. Varberg,Edwin Joseph Purcell,Steven E. Rigdon

For freshman/sophomore-level courses treating calculus of both one and several variables. While it covers all the material needed by students in engineering, science, and mathematics, this calculus text remains the shortest mainstream calculus book available ideal for instructors who want a no-nonsense, concisely written text. The authors make effective use of computing technology, graphics, and applications. At least two technology projects are presented in each chapter. This popular book is accurate without being excessively rigorous and up-to-date without being faddish.

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Page Count

888

Published Date

ISBN 10

0130811378

ISBN 13

9780130811370

Book's by Edwin Lim

An Introduction to Optimization

An Introduction to Optimization

Abstract Harmonic Analysis

Abstract Harmonic Analysis

Lexicon of Reconstructed Pronunciation

Lexicon of Reconstructed Pronunciation

Historical Processes

Historical Processes

Complex Analysis

Complex Analysis

Lectures on Probability Theory and Statistics

Lectures on Probability Theory and Statistics

Singapore

Singapore

Computational Intelligence for Optimization

Computational Intelligence for Optimization

Algebraic Topology

Algebraic Topology

Algebraic Number Theory

Algebraic Number Theory

Capital Theory and Dynamics

Capital Theory and Dynamics

Calculus

Calculus

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