Communication Complexity (for Algorithm Designers) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Communication Complexity (for Algorithm Designers) write by Tim Roughgarden. This book was released on 2016. Communication Complexity (for Algorithm Designers) available in PDF, EPUB and Kindle. This text collects the lecture notes from the author's course "Communication Complexity (for Algorithm Designers)," taught at Stanford in the winter quarter of 2015. The two primary goals of the text are: (1) Learn several canonical problems in communication complexity that are useful for proving lower bounds for algorithms (disjointness, index, gap-hamming, etc.). (2) Learn how to reduce lower bounds for fundamental algorithmic problems to communication complexity lower bounds. Along the way, readers will also: (3) Get exposure to lots of cool computational models and some famous results about them -- data streams and linear sketches, compressive sensing, space-query time trade-offs in data structures, sublinear-time algorithms, and the extension complexity of linear programs. (4) Scratch the surface of techniques for proving communication complexity lower bounds (fooling sets, corruption arguments, etc.).
Communication Complexity (for Algorithm Designers)
Communication Complexity (for Algorithm Designers) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Communication Complexity (for Algorithm Designers) write by Tim Roughgarden. This book was released on 2016-05-11. Communication Complexity (for Algorithm Designers) available in PDF, EPUB and Kindle. This book deals mostly with impossibility results - lower bounds on what can be accomplished by algorithms. However, the perspective is unapologetically that of an algorithm designer. The reader will learn lower bound technology on a "need-to-know" basis, guided by fundamental algorithmic problems that we care about.
Lower Bounds in Communication Complexity
Lower Bounds in Communication Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lower Bounds in Communication Complexity write by Troy Lee. This book was released on 2009. Lower Bounds in Communication Complexity available in PDF, EPUB and Kindle. The communication complexity of a function f(x, y) measures the number of bits that two players, one who knows x and the other who knows y, must exchange to determine the value f(x, y). Communication complexity is a fundamental measure of complexity of functions. Lower bounds on this measure lead to lower bounds on many other measures of computational complexity. This monograph surveys lower bounds in the field of communication complexity. Our focus is on lower bounds that work by first representing the communication complexity measure in Euclidean space. That is to say, the first step in these lower bound techniques is to find a geometric complexity measure, such as rank or trace norm, that serves as a lower bound to the underlying communication complexity measure. Lower bounds on this geometric complexity measure are then found using algebraic and geometric tools.
Communication Complexity
Communication Complexity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Communication Complexity write by Eyal Kushilevitz. This book was released on 2006-11-02. Communication Complexity available in PDF, EPUB and Kindle. Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.
Communication Complexity and Parallel Computing
Communication Complexity and Parallel Computing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Communication Complexity and Parallel Computing write by Juraj Hromkovič. This book was released on 2013-03-09. Communication Complexity and Parallel Computing available in PDF, EPUB and Kindle. The communication complexity of two-party protocols is an only 15 years old complexity measure, but it is already considered to be one of the fundamen tal complexity measures of recent complexity theory. Similarly to Kolmogorov complexity in the theory of sequential computations, communication complex ity is used as a method for the study of the complexity of concrete computing problems in parallel information processing. Especially, it is applied to prove lower bounds that say what computer resources (time, hardware, memory size) are necessary to compute the given task. Besides the estimation of the compu tational difficulty of computing problems the proved lower bounds are useful for proving the optimality of algorithms that are already designed. In some cases the knowledge about the communication complexity of a given problem may be even helpful in searching for efficient algorithms to this problem. The study of communication complexity becomes a well-defined indepen dent area of complexity theory. In addition to a strong relation to several funda mental complexity measures (and so to several fundamental problems of com plexity theory) communication complexity has contributed to the study and to the understanding of the nature of determinism, nondeterminism, and random ness in algorithmics. There already exists a non-trivial mathematical machinery to handle the communication complexity of concrete computing problems, which gives a hope that the approach based on communication complexity will be in strumental in the study of several central open problems of recent complexity theory.
