Lower Bounds In Communication Complexity

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Lower Bounds In Communication Complexity

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Author : Troy Lee
language : en
Publisher: Now Publishers Inc
Release Date : 2009

Lower Bounds In Communication Complexity written by Troy Lee and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.

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.

Complexity Lower Bounds Using Linear Algebra

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Author : Satya Lokam
language : en
Publisher: Now Publishers Inc
Release Date : 2009-07-20

Complexity Lower Bounds Using Linear Algebra written by Satya Lokam and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-20 with Computers categories.

We survey several techniques for proving lower bounds in Boolean, algebraic, and communication complexity based on certain linear algebraic approaches. The common theme among these approaches is to study robustness measures of matrix rank that capture the complexity in a given model. Suitably strong lower bounds on such robustness functions of explicit matrices lead to important consequences in the corresponding circuit or communication models. Many of the linear algebraic problems arising from these approaches are independently interesting mathematical challenges.

Communication Complexity

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Author : Eyal Kushilevitz
language : en
Publisher: Cambridge University Press
Release Date : 1997

Communication Complexity written by Eyal Kushilevitz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

Surveys the mathematical theory and applications such as computer networks, VLSI circuits, and data structures.

Communication Complexity For Algorithm Designers

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Author : Tim Roughgarden
language : en
Publisher: Foundations and Trends (R) in Theoretical Computer Science
Release Date : 2016-05-11

Communication Complexity For Algorithm Designers written by Tim Roughgarden and has been published by Foundations and Trends (R) in Theoretical Computer Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-11 with categories.

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.

Communication Complexity

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Author : Anup Rao
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-20

Communication Complexity written by Anup Rao and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-20 with Computers categories.

Presents basic theory for graduate students and researchers with applications in circuit and proof complexity, streaming algorithms and distributed computing.

Fst Tcs 2001 Foundations Of Software Technology And Theoretical Computer Science

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Author : Ramesh Hariharan
language : en
Publisher: Springer
Release Date : 2003-06-30

Fst Tcs 2001 Foundations Of Software Technology And Theoretical Computer Science written by Ramesh Hariharan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.

This volume contains the proceedings of the 21st international conference on the Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2001), organized under the auspices of the Indian Association for Research in Computing Science (IARCS). This year’s conference attracted 73 submissions from 20 countries. Each s- mission was reviewed by at least three independent referees. In a departure from previous conferences, the ?nal selection of the papers making up the program was done through an electronic discussion spanning two weeks, without a physical meeting of the Program Committee (PC). Since the PC of FSTTCS is distributed across the globe, it is very di?cult to ?x a meeting whose time and venue is convenient for a substantial fraction of the PC. Given this, it was felt that an electronic discussion would enable all members to participate on a more equal footing in the ?nal selection. All reviews, scores, and comments were posted on a secure website, with a mechanism for making updates and automatically sending noti?cations by email to relevant members of the PC. All PC members participated actively in the discussion. The general feedback on the arrangement was very positive, so we hope to continue this in future years. We had ?ve invited speakers this year: Eric Allender, Sanjeev Arora, David Harel, Colin Stirling, and Uri Zwick. We thank them for having readily accepted our invitation to talk at the conference and for providing abstracts (and even full papers) for the proceedings.

Trieste E Il Confine Orientale Tra Guerra E Dopoguerra

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Author : Fabio Amodeo
language : en
Publisher:
Release Date : 2008

Trieste E Il Confine Orientale Tra Guerra E Dopoguerra written by Fabio Amodeo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.

Computational Complexity And Property Testing

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Author : Oded Goldreich
language : en
Publisher:
Release Date : 2020

Computational Complexity And Property Testing written by Oded Goldreich and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Computational complexity categories.

This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work included were conducted at different times, mostly during the last decade. Although most of these works have been cited in the literature, none of them was formally published before. Within complexity theory the topics include constant-depth Boolean circuits, explicit construction of expander graphs, interactive proof systems, monotone formulae for majority, probabilistically checkable proofs (PCPs), pseudorandomness, worst-case to average-case reductions, and zero-knowledge proofs. Within property testing the topics include distribution testing, linearity testing, lower bounds on the query complexity (of property testing), testing graph properties, and tolerant testing. A common theme in this collection is the interplay between randomness and computation.

Computational Complexity

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Author : Sanjeev Arora
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-20

Computational Complexity written by Sanjeev Arora and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Computers categories.

New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.

Sofsem 2021 Theory And Practice Of Computer Science

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Author : Tomas Bures
language : en
Publisher:
Release Date : 2021

Sofsem 2021 Theory And Practice Of Computer Science written by Tomas Bures and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Computer science categories.

This book contains the invited and contributed papers selected for presentation at SOFSEM 2021, the 47th International Conference on Current Trends in Theory and Practice of Computer Science, which was held online during January 25-28, 2021, hosted by the Free University of Bozen-Bolzano, Italy. The 33 full and 7 short papers included in the volume were carefully reviewed and selected from 100 submissions. They were organized in topical sections on: foundations of computer science; foundations of software engineering; foundations of data science and engineering; and foundations of algorithmic computational biology. The book also contains 5 invited papers.