Dan A. Simovici's Books

Linear Algebra Tools For Data Mining (Second Edition)

By: Dan A Simovici

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Linear Algebra Tools For Data Mining (Second Edition)

By: Dan A Simovici

This updated compendium provides the linear algebra background necessary to understand and develop linear algebra applications in data mining and machine learning.Basic knowledge and advanced new topics (spectral theory, singular values, decomposition techniques for matrices, tensors and multidimensional arrays) are presented together with several applications of linear algebra (k-means clustering, biplots, least square approximations, dimensionality reduction techniques, tensors and multidimensional arrays).The useful reference text includes more than 600 exercises and supplements, many with completed solutions and MATLAB applications.The volume benefits professionals, academics, researchers and graduate students in the fields of pattern recognition/image analysis, AI, machine learning and databases.

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1002

Publisher

World Scientific

Published Date

ISBN 10

981127035X

ISBN 13

9789811270352

Theory of Formal Languages with Applications

By: Dan A. Simovici,Richard L. Tenney

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Theory of Formal Languages with Applications

By: Dan A. Simovici,Richard L. Tenney

Formal languages provide the theoretical underpinnings for the study of programming languages as well as the foundations for compiler design. They are important in such areas as data transmission and compression, computer networks, etc. This book combines an algebraic approach with algorithmic aspects and decidability results and explores applications both within computer science and in fields where formal languages are finding new applications such as molecular and developmental biology. It contains more than 600 graded exercises. While some are routine, many of the exercises are in reality supplementary material. Although the book has been designed as a text for graduate and upper-level undergraduate students, the comprehensive coverage of the subject makes it suitable as a reference for scientists.

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646

Publisher

World Scientific

Published Date

ISBN 10

9810237294

ISBN 13

9789810237295

Mathematical Tools for Data Mining

Set Theory, Partial Orders, Combinatorics

By: Dan A. Simovici,Chaabane Djeraba

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Mathematical Tools for Data Mining

Set Theory, Partial Orders, Combinatorics

By: Dan A. Simovici,Chaabane Djeraba

This volume was born from the experience of the authors as researchers and educators,whichsuggeststhatmanystudentsofdataminingarehandicapped in their research by the lack of a formal, systematic education in its mat- matics. The data mining literature contains many excellent titles that address the needs of users with a variety of interests ranging from decision making to p- tern investigation in biological data. However, these books do not deal with the mathematical tools that are currently needed by data mining researchers and doctoral students. We felt it timely to produce a book that integrates the mathematics of data mining with its applications. We emphasize that this book is about mathematical tools for data mining and not about data mining itself; despite this, a substantial amount of applications of mathematical c- cepts in data mining are presented. The book is intended as a reference for the working data miner. In our opinion, three areas of mathematics are vital for data mining: set theory,includingpartially orderedsetsandcombinatorics;linear algebra,with its many applications in principal component analysis and neural networks; and probability theory, which plays a foundational role in statistics, machine learning and data mining. Thisvolumeisdedicatedtothestudyofset-theoreticalfoundationsofdata mining. Two further volumes are contemplated that will cover linear algebra and probability theory. The ?rst part of this book, dedicated to set theory, begins with a study of functionsandrelations.Applicationsofthesefundamentalconceptstosuch- sues as equivalences and partitions are discussed. Also, we prepare the ground for the following volumes by discussing indicator functions, ?elds and?-?elds, and other concepts.

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Page Count

611

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1848002017

ISBN 13

9781848002012

Theory Of Formal Languages With Applications

By: Dan A Simovici,Richard L Tenney

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Theory Of Formal Languages With Applications

By: Dan A Simovici,Richard L Tenney

Formal languages provide the theoretical underpinnings for the study of programming languages as well as the foundations for compiler design. They are important in such areas as the study of biological systems, data transmission and compression, computer networks, etc.This book combines an algebraic approach with algorithmic aspects and decidability results and explores applications both within computer science and in fields where formal languages are finding new applications. It contains more than 600 graded exercises. While some are routine, many of the exercises are in reality supplementary material. Although the book has been designed as a text for graduate and upper-level undergraduate students, the comprehensive coverage of the subject makes it suitable as a reference for scientists. remove remove

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643

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813105356

ISBN 13

9789813105355

Mathematical Foundations of Computer Science

Sets, Relations, and Induction

By: Peter A. Fejer,Dan A. Simovici

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Mathematical Foundations of Computer Science

Sets, Relations, and Induction

By: Peter A. Fejer,Dan A. Simovici

Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.

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Page Count

433

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461230861

ISBN 13

9781461230861

Introduction To The Theory Of Formal Languages

By: Dan A Simovici

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Introduction To The Theory Of Formal Languages

By: Dan A Simovici

Formal language theory is a theoretical discipline in computer science that plays a foundational role in areas such as compilers design, programming language theory, information transmission, computational biology, etc.This unique volume is a succinct introduction to formal language theory suitable for an one-semester course. The main focus is on Chomsky's hierarchy of classes of languages ranging from regular languages to context-free, context-sensitive, and recursively enumerable languages. These classes are presented using both generative methods (grammars) as well as various analytical methods including finite automata, pushdown and linearly bounded automata, and Turing machine.The useful reference text contains a large number of exercises of various degree of difficulties and is intended as a textbook for an upper-level undergraduate or a graduate course in formal languages.

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Page Count

465

Publisher

World Scientific

Published Date

ISBN 10

9811294038

ISBN 13

9789811294037

Linear Algebra Tools For Data Mining

By: Dan A Simovici

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Linear Algebra Tools For Data Mining

By: Dan A Simovici

This comprehensive volume presents the foundations of linear algebra ideas and techniques applied to data mining and related fields. Linear algebra has gained increasing importance in data mining and pattern recognition, as shown by the many current data mining publications, and has a strong impact in other disciplines like psychology, chemistry, and biology. The basic material is accompanied by more than 550 exercises and supplements, many accompanied with complete solutions and MATLAB applications.

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Page Count

878

Publisher

World Scientific

Published Date

ISBN 10

9814452939

ISBN 13

9789814452939

Logical Foundations Of Computer Science (In 2 Volumes)

By: Peter A Fejer,Dan A Simovici

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Logical Foundations Of Computer Science (In 2 Volumes)

By: Peter A Fejer,Dan A Simovici

Logic is a foundational mathematical discipline for Computer Science. This unique compendium provides the main ideas and techniques originating from logic. It is divided into two volumes — propositional logic and predicate logic. The volume presents some of the most important concepts starting with a variety of logic formalisms — Hilbert/Frege systems, tableaux, sequents, and natural deduction in both propositional and first-order logic, as well as transformations between these formalisms. Topics like circuit design, resolution, cutting planes, Hintikka sets, paramodulation, and program verification, which do not appear frequently in logic books are discussed in detail.The useful reference text has close to 800 exercises and supplements to deepen understanding of the subject. It emphasizes proofs and overcomes technical difficulties by providing detailed arguments. Computer scientists and mathematicians will benefit from this volume.

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Page Count

1336

Publisher

World Scientific

Published Date

ISBN 10

9811289352

ISBN 13

9789811289354

Clustering: Theoretical And Practical Aspects

By: Dan A Simovici

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Clustering: Theoretical And Practical Aspects

By: Dan A Simovici

This unique compendium gives an updated presentation of clustering, one of the most challenging tasks in machine learning. The book provides a unitary presentation of classical and contemporary algorithms ranging from partitional and hierarchical clustering up to density-based clustering, clustering of categorical data, and spectral clustering.Most of the mathematical background is provided in appendices, highlighting algebraic and complexity theory, in order to make this volume as self-contained as possible. A substantial number of exercises and supplements makes this a useful reference textbook for researchers and students.

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Page Count

882

Publisher

World Scientific

Published Date

ISBN 10

981124121X

ISBN 13

9789811241215

Mathematical Analysis For Machine Learning And Data Mining

By: Dan A Simovici

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Mathematical Analysis For Machine Learning And Data Mining

By: Dan A Simovici

This compendium provides a self-contained introduction to mathematical analysis in the field of machine learning and data mining. The mathematical analysis component of the typical mathematical curriculum for computer science students omits these very important ideas and techniques which are indispensable for approaching specialized area of machine learning centered around optimization such as support vector machines, neural networks, various types of regression, feature selection, and clustering. The book is of special interest to researchers and graduate students who will benefit from these application areas discussed in the book. Related Link(s)

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985

Publisher

World Scientific

Published Date

ISBN 10

9813229705

ISBN 13

9789813229709

Book's by Dan A. Simovici

Linear Algebra Tools For Data Mining (Second Edition)

Linear Algebra Tools For Data Mining (Second Edition)

Theory of Formal Languages with Applications

Theory of Formal Languages with Applications

Mathematical Tools for Data Mining

Mathematical Tools for Data Mining

Theory Of Formal Languages With Applications

Theory Of Formal Languages With Applications

Mathematical Foundations of Computer Science

Mathematical Foundations of Computer Science

Introduction To The Theory Of Formal Languages

Introduction To The Theory Of Formal Languages

Linear Algebra Tools For Data Mining

Linear Algebra Tools For Data Mining

Logical Foundations Of Computer Science (In 2 Volumes)

Logical Foundations Of Computer Science (In 2 Volumes)

Clustering: Theoretical And Practical Aspects

Clustering: Theoretical And Practical Aspects

Mathematical Analysis For Machine Learning And Data Mining

Mathematical Analysis For Machine Learning And Data Mining

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