This book is rooted in the thesis that complexity theory is extremely rich in conceptual
content, and that this contents should be explicitly communicated in expositions and courses …

The Internet of Things (IoT) is a transformative technology, which is revolutionizing our
everyday life by connecting everyone and everything together. The massive number of …

This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …

This is a survey of pseudorandomness, the theory of efficiently generating objects that" look
random" despite being constructed using little or no randomness. This theory has …

In this paper, we survey algorithms for sparse recovery problems that are based on sparse
random matrices. Such matrices has several attractive properties: they support algorithms …

The nearest neighbor problem is defined as follows: Given a set P of n points in some metric
space (X, D), build a data structure that, given any point q, returns a point in P that is closest …

It is expected that quantum computers would enable solving various problems that are
beyond the capabilities of the most powerful current supercomputers, which are based on …

We introduce a new primitive, called trapdoor hash functions (TDH), which are hash
functions H:{0, 1\}^ n → {0, 1\}^ λ with additional trapdoor function-like properties …

From the winner of the Turing Award and the Abel Prize, an introduction to computational
complexity theory, its connections and interactions with mathematics, and its central role in …

We explicitly construct an extractor for two independent sources on n bits, each with
polylogarithmic min-entropy. Our extractor outputs one bit and has polynomially small error …