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Models of computation for big data

Akerkar, Rajendra.

Models of computation for big data

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Models of computation for big databy Rajendra Akerkar.
作者:	Akerkar, Rajendra.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	viii, 104 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Big dataMathematical models.
電子資源:	https://doi.org/10.1007/978-3-319-91851-8
ISBN:	9783319918518$q(electronic bk.)

Models of computation for big data
Akerkar, Rajendra.

Models of computation for big data[electronic resource] /by Rajendra Akerkar. - Cham :Springer International Publishing :2018. - viii, 104 p. :ill., digital ;24 cm. - SpringerBriefs in advanced information and knowledge processing,2524-5198. - SpringerBriefs in advanced information and knowledge processing..

Preface -- Streaming Models -- Introduction -- Indyk's Algorithm -- Point Query -- Sketching -- Sub-Linear Time Models -- Introduction -- Dimentionality Reduction -- Johnson Lindenstrauss Lower Bound -- Fast Johnson Lindenstrauss Transform -- Sublinear Time Algorithmic Models -- Linear Algebraic Models -- Introduction -- Subspace Embeddings -- Low-Rank Approximation -- The Matrix Completion Problem -- Other Computational Models -- References.

The big data tsunami changes the perspective of industrial and academic research in how they address both foundational questions and practical applications. This calls for a paradigm shift in algorithms and the underlying mathematical techniques. There is a need to understand foundational strengths and address the state of the art challenges in big data that could lead to practical impact. The main goal of this book is to introduce algorithmic techniques for dealing with big data sets. Traditional algorithms work successfully when the input data fits well within memory. In many recent application situations, however, the size of the input data is too large to fit within memory. Models of Computation for Big Data, covers mathematical models for developing such algorithms, which has its roots in the study of big data that occur often in various applications. Most techniques discussed come from research in the last decade. The book will be structured as a sequence of algorithmic ideas, theoretical underpinning, and practical use of that algorithmic idea. Intended for both graduate students and advanced undergraduate students, there are no formal prerequisites, but the reader should be familiar with the fundamentals of algorithm design and analysis, discrete mathematics, probability and have general mathematical maturity.

ISBN: 9783319918518$q(electronic bk.)

Standard No.: 10.1007/978-3-319-91851-8doiSubjects--Topical Terms:

825713
Big data
--Mathematical models.

LC Class. No.: QA76.9.B45

Dewey Class. No.: 005.7

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520 $a The big data tsunami changes the perspective of industrial and academic research in how they address both foundational questions and practical applications. This calls for a paradigm shift in algorithms and the underlying mathematical techniques. There is a need to understand foundational strengths and address the state of the art challenges in big data that could lead to practical impact. The main goal of this book is to introduce algorithmic techniques for dealing with big data sets. Traditional algorithms work successfully when the input data fits well within memory. In many recent application situations, however, the size of the input data is too large to fit within memory. Models of Computation for Big Data, covers mathematical models for developing such algorithms, which has its roots in the study of big data that occur often in various applications. Most techniques discussed come from research in the last decade. The book will be structured as a sequence of algorithmic ideas, theoretical underpinning, and practical use of that algorithmic idea. Intended for both graduate students and advanced undergraduate students, there are no formal prerequisites, but the reader should be familiar with the fundamentals of algorithm design and analysis, discrete mathematics, probability and have general mathematical maturity.
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