Mathematics of Big Data

Mathematics of Big Data Spreadsheets, Databases, Matrices, and Graphs - MIT Lincoln Laboratory Series

Hardback (24 Jul 2018)

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Publisher's Synopsis

The first book to present the common mathematical foundations of big data analysis across a range of applications and technologies.

Today, the volume, velocity, and variety of data are increasing rapidly across a range of fields, including Internet search, healthcare, finance, social media, wireless devices, and cybersecurity. Indeed, these data are growing at a rate beyond our capacity to analyze them. The tools-including spreadsheets, databases, matrices, and graphs-developed to address this challenge all reflect the need to store and operate on data as whole sets rather than as individual elements. This book presents the common mathematical foundations of these data sets that apply across many applications and technologies. Associative arrays unify and simplify data, allowing readers to look past the differences among the various tools and leverage their mathematical similarities in order to solve the hardest big data challenges.

The book first introduces the concept of the associative array in practical terms, presents the associative array manipulation system D4M (Dynamic Distributed Dimensional Data Model), and describes the application of associative arrays to graph analysis and machine learning. It provides a mathematically rigorous definition of associative arrays and describes the properties of associative arrays that arise from this definition. Finally, the book shows how concepts of linearity can be extended to encompass associative arrays. Mathematics of Big Data can be used as a textbook or reference by engineers, scientists, mathematicians, computer scientists, and software engineers who analyze big data.

Book information

ISBN: 9780262038393
Publisher: The MIT Press
Imprint: The MIT Press
Pub date:
DEWEY: 005.7
DEWEY edition: 23
Language: English
Number of pages: xxi, 418
Weight: 1010g
Height: 236mm
Width: 183mm
Spine width: 30mm