Communication Complexity For Algorithm Designers
Download Communication Complexity For Algorithm Designers full books in PDF, epub, and Kindle. Read online free Communication Complexity For Algorithm Designers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
| Author | : Tim Roughgarden |
| Publisher | : |
| Total Pages | : 187 |
| Release | : 2016 |
| Genre | : Computer algorithms |
| ISBN | : 9781680831153 |
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.).
| Author | : Tim Roughgarden |
| Publisher | : Foundations and Trends (R) in Theoretical Computer Science |
| Total Pages | : 206 |
| Release | : 2016-05-11 |
| Genre | : |
| ISBN | : 9781680831146 |
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.
| Author | : Troy Lee |
| Publisher | : Now Publishers Inc |
| Total Pages | : 152 |
| Release | : 2009 |
| Genre | : Computers |
| ISBN | : 1601982585 |
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.
| Author | : Shay Kutten |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 350 |
| Release | : 2010-02-12 |
| Genre | : Computers |
| ISBN | : 364211475X |
This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2009, held in Piran, Slovenia, in May 2009. The 23 revised full papers presented were carefully reviewed and selected from 53 submissions. The volume also contains two invited papers. SIROCCO addresses topics such as distributed computing, parallel computing, game theory, social networks, networking, mobile computing, peer to peer systems, communication complexity, combinatorial optimization; special focus is put to compact data structures, information dissemination, informative labeling schemes, distributed scheduling, wireless networks and scheduling of transmissions, routing, broadcasting, and localization.
| Author | : Anup Rao |
| Publisher | : Cambridge University Press |
| Total Pages | : 271 |
| Release | : 2020-02-20 |
| Genre | : Computers |
| ISBN | : 1108776019 |
Communication complexity is the mathematical study of scenarios where several parties need to communicate to achieve a common goal, a situation that naturally appears during computation. This introduction presents the most recent developments in an accessible form, providing the language to unify several disjoint research subareas. Written as a guide for a graduate course on communication complexity, it will interest a broad audience in computer science, from advanced undergraduates to researchers in areas ranging from theory to algorithm design to distributed computing. The first part presents basic theory in a clear and illustrative way, offering beginners an entry into the field. The second part describes applications including circuit complexity, proof complexity, streaming algorithms, extension complexity of polytopes, and distributed computing. Proofs throughout the text use ideas from a wide range of mathematics, including geometry, algebra, and probability. Each chapter contains numerous examples, figures, and exercises to aid understanding.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
| Author | : Eyal Kushilevitz |
| Publisher | : Cambridge University Press |
| Total Pages | : 209 |
| Release | : 2006-11-02 |
| Genre | : Computers |
| ISBN | : 052102983X |
Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.
| Author | : Juraj Hromkovič |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 347 |
| Release | : 2013-03-09 |
| Genre | : Computers |
| ISBN | : 3662034425 |
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.
| Author | : Merav Parter |
| Publisher | : Springer Nature |
| Total Pages | : 311 |
| Release | : 2022-06-24 |
| Genre | : Computers |
| ISBN | : 3031099931 |
This book constitutes the refereed conference proceedings of the 29th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2022, held in Paderborn, Germany, in June 2022. The 16 full papers presented in this book were carefully reviewed and selected from 30 submissions. SIROCCO is devoted to the study of the interplay between structural knowledge, communication, and computing in decentralized systems of multiple communicating entities. Special emphasis is given to innovative approaches leading to better understanding of the relationship between computing and communication.
| Author | : Raghuvansh R. Saxena |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2021 |
| Genre | : |
| ISBN | : |
Since its introduction in Yao's seminal paper [Yao79], communication complexity has revolutionized theoretical computer science. Indeed, not only has communication complexity been successful in areas where communication is an important resource, but it has also resulted in breakthroughs in areas that seemingly have nothing to do with communication! This is because bounds on communication can often be translated into bounds on other resources of interest, such as memory usage and circuit size.As the title suggests, we consider the role of communication complexity in the study of three different areas in theoretical computer science:Coding: Part I is about interactive error correcting codes, used to make interactive protocols resilient to noise. I study the noise tolerance of popular two-party and multi-party communication channels, constructing communication efficient codes with high noise tolerance for some of these channels, and proving that noise tolerance implies large communication overheads for others.Commerce: Part II studies communication problems in auction design, where the participating parties have their own interests and may not follow the protocol unless incentivized to do so. A common theme of this part is establishing tight separations between different classes of auctions, and understanding how various aspects of an auction affect its communication complexity.Currents: Part III covers my work on the memory requirement of graph streaming algorithms, which are algorithms whose input is a massive graph that they can only scan a few times. While algorithms that scan their input once are by now well understood, the situation is different for multi-pass streaming algorithms, which are the focus of this part of the thesis.Interestingly, each of these areas imposes additional requirements on the classical model of communication complexity: in interactive coding, we study communication complexity under noise; in auction design, we study communication complexity with incentives; and in multi-pass streaming, we consider communication complexity with few rounds of communication. While these three topics are seemingly very different, they all have strong connections with communication complexity, and studying them together often leads to deep insights.
