On the Power of Small-Depth Computation

On the Power of Small-Depth Computation
Author :
Publisher : Now Publishers Inc
Total Pages : 84
Release :
ISBN-10 : 9781601983008
ISBN-13 : 160198300X
Rating : 4/5 (00X Downloads)

Book Synopsis On the Power of Small-Depth Computation by : Emanuele Viola

Download or read book On the Power of Small-Depth Computation written by Emanuele Viola and published by Now Publishers Inc. This book was released on 2009 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way. The four sections contain: (1) A unified treatment of the challenge of exhibiting explicit functions that have small correlation with low-degree polynomials over {0, 1}.(2) An unpublished proof that small bounded-depth circuits (AC0) have exponentially small correlation with the parity function. The proof is due to Klivans and Vadhan; it builds upon and simplifies previous ones. (3) Valiant's simulation of log-depth linear-size circuits of fan-in 2 by sub-exponential size circuits of depth 3 and unbounded fan-in. To our knowledge, a proof of this result has never appeared in full. (4) Applebaum, Ishai, and Kushilevitz's cryptography in bounded depth.


On the Power of Small-Depth Computation Related Books

On the Power of Small-Depth Computation
Language: en
Pages: 84
Authors: Emanuele Viola
Categories: Computers
Type: BOOK - Published: 2009 - Publisher: Now Publishers Inc

GET EBOOK

In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way. The four sections contain: (1) A unified
Computing and Combinatorics
Language: en
Pages: 442
Authors: Jin-Yi Cai
Categories: Computers
Type: BOOK - Published: 1996-06-05 - Publisher: Springer Science & Business Media

GET EBOOK

This book constitutes the proceedings of the Second Annual International Conference on Computing and Combinatorics, COCOON '96, held in June 1996 in Hong Kong.
Theory and Applications of Models of Computation
Language: en
Pages: 577
Authors: Mitsunori Ogihara
Categories: Computers
Type: BOOK - Published: 2011-05-03 - Publisher: Springer Science & Business Media

GET EBOOK

This book constitutes the refereed proceedings of the 8th International Conference on Theory and Applications of Models of Computation, TAMC 2011, held in Tokyo
Theoretical Advances in Neural Computation and Learning
Language: en
Pages: 482
Authors: Vwani Roychowdhury
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

For any research field to have a lasting impact, there must be a firm theoretical foundation. Neural networks research is no exception. Some of the founda tiona
Handbook of Approximation Algorithms and Metaheuristics
Language: en
Pages: 817
Authors: Teofilo F. Gonzalez
Categories: Computers
Type: BOOK - Published: 2018-05-15 - Publisher: CRC Press

GET EBOOK

Handbook of Approximation Algorithms and Metaheuristics, Second Edition reflects the tremendous growth in the field, over the past two decades. Through contribu