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.