On the Power of Small-Depth Computation

On the Power of Small-Depth Computation PDF Author: Emanuele Viola
Publisher: Now Publishers Inc
ISBN: 160198300X
Category : Computers
Languages : en
Pages : 84

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Book Description
In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way.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challenge of exhibiting explicit functions that have small correlation with low-degree polynomials over {0, 1}.(2) An unpublished proof that small bounded-depth circuits (AC0) have exponentially small correlation with the parity function.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

On the Power of Small-Depth Computation PDF Author: Emanuele Viola
Publisher: Now Publishers Inc
ISBN: 160198300X
Category : Computers
Languages : en
Pages : 84

Get Book Here

Book Description
In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way.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challenge of exhibiting explicit functions that have small correlation with low-degree polynomials over {0, 1}.(2) An unpublished proof that small bounded-depth circuits (AC0) have exponentially small correlation with the parity function.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.

Boolean Models and Methods in Mathematics, Computer Science, and Engineering

Boolean Models and Methods in Mathematics, Computer Science, and Engineering PDF Author: Yves Crama
Publisher: Cambridge University Press
ISBN: 0521847524
Category : Computers
Languages : en
Pages : 781

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Book Description
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.

Theoretical Advances in Neural Computation and Learning

Theoretical Advances in Neural Computation and Learning PDF Author: Vwani Roychowdhury
Publisher: Springer Science & Business Media
ISBN: 1461526965
Category : Computers
Languages : en
Pages : 482

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Book Description
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 tional concepts, established several decades ago, led to the early promise of developing machines exhibiting intelligence. The motivation for studying such machines comes from the fact that the brain is far more efficient in visual processing and speech recognition than existing computers. Undoubtedly, neu robiological systems employ very different computational principles. The study of artificial neural networks aims at understanding these computational prin ciples and applying them in the solutions of engineering problems. Due to the recent advances in both device technology and computational science, we are currently witnessing an explosive growth in the studies of neural networks and their applications. It may take many years before we have a complete understanding about the mechanisms of neural systems. Before this ultimate goal can be achieved, an swers are needed to important fundamental questions such as (a) what can neu ral networks do that traditional computing techniques cannot, (b) how does the complexity of the network for an application relate to the complexity of that problem, and (c) how much training data are required for the resulting network to learn properly? Everyone working in the field has attempted to answer these questions, but general solutions remain elusive. However, encouraging progress in studying specific neural models has been made by researchers from various disciplines.

Artificial Neural Networks - ICANN 2007

Artificial Neural Networks - ICANN 2007 PDF Author: Joaquim Marques de Sá
Publisher: Springer
ISBN: 3540746900
Category : Computers
Languages : en
Pages : 999

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Book Description
This book is the first of a two-volume set that constitutes the refereed proceedings of the 17th International Conference on Artificial Neural Networks, ICANN 2007, held in Porto, Portugal, September 2007. Coverage includes advances in neural network learning methods, advances in neural network architectures, neural dynamics and complex systems, data analysis, evolutionary computing, agents learning, as well as temporal synchronization and nonlinear dynamics in neural networks.

Technologies for Wireless Computing

Technologies for Wireless Computing PDF Author: Anantha P. Chandrakasan
Publisher: Springer Science & Business Media
ISBN: 1461314534
Category : Technology & Engineering
Languages : en
Pages : 193

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Book Description
Research over the last decade has brought about the development of high-performance systems such as powerful workstations, sophisticated computer graphics, and multimedia systems such as real-time video and speech recognition. A significant change in the attitude of users is the desire to have access to this computation at any location without the need to be connected to the wired power source. This has resulted in the explosive growth of research and development in the area of wireless computing over the last five years. Technologies for Wireless Computing deals with several key technologies required for wireless computing. The topics covered include reliable wireless protocols, portable terminal design considerations, video coding, RF circuit design issues and tools, display technology, energy-efficient applications, specific and programmable design techniques, energy efficiency metrics, low-voltage process technology and circuit design considerations, and CAD tools for low-power design at the behavior, logic and physical design level. Technologies for Wireless Computing is an edited volume of original research comprising invited contributions by leading researchers. This research work has also been published as a special issue of the Journal of VLSI Signal Processing Systems (Volume 13, Numbers 2 & 3).

Concurrency and Parallelism, Programming, Networking, and Security

Concurrency and Parallelism, Programming, Networking, and Security PDF Author: Joxan Jaffar
Publisher: Springer Science & Business Media
ISBN: 9783540620310
Category : Computers
Languages : en
Pages : 420

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Book Description
This book constitutes the refereed proceedings of the Second Asian Conference on Computing Science, ASIAN'96, held in Singapore in December 1996. The volume presents 31 revised full papers selected from a total of 169 submissions; also included are three invited papers and 14 posters. The papers are organized in topical sections on algorithms, constraints and logic programming, distributed systems, formal systems, networking and security, programming and systems, and specification and verification.

Proceedings of the Twenty-fifth Annual ACM Symposium on Theory of Computing

Proceedings of the Twenty-fifth Annual ACM Symposium on Theory of Computing PDF Author:
Publisher:
ISBN:
Category : Computation theory
Languages : en
Pages : 828

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Book Description


Computational Limitations of Small-depth Circuits

Computational Limitations of Small-depth Circuits PDF Author: Johan Håstad
Publisher: MIT Press (MA)
ISBN:
Category : Computers
Languages : en
Pages : 110

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Book Description
Proving lower bounds on the amount of resources needed to compute specific functions is one of the most active branches of theoretical computer science. Significant progress has been made recently in proving lower bounds in two restricted models of Boolean circuits. One is the model of small depth circuits, and in this book Johan Torkel Hastad has developed very powerful techniques for proving exponential lower bounds on the size of small depth circuits' computing functions. The techniques described in Computational Limitations for Small Depth Circuitscan be used to demonstrate almost optimal lower bounds on the size of small depth circuits computing several different functions, such as parity and majority. The main tool used in the proof of the lower bounds is a lemma, stating that any AND of small fanout OR gates can be converted into an OR of small fanout AND gates with high probability when random values are substituted for the variables. Hastad also applies this tool to relativized complexity, and discusses in great detail the computation of parity and majority in small depth circuits. Contents:Introduction. Small Depth Circuits. Outline of Lower Bound Proofs. Main Lemma. Lower Bounds for Small Depth Circuits. Functions Requiring Depth k to Have Small Circuits. Applications to Relativized Complexity. How Well Can We Compute Parity in Small Depth? Is Majority Harder than Parity? Conclusions. John Hastad is a postdoctoral fellow in the Department of Mathematics at MIT Computational Limitations of Small Depth Circuitsis a winner of the 1986 ACM Doctoral Dissertation Award.

Computing and Combinatorics

Computing and Combinatorics PDF Author: Guohui Lin
Publisher: Springer
ISBN: 3540735453
Category : Computers
Languages : en
Pages : 580

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Book Description
The Annual International Computing and Combinatorics Conference is an annual forum for exploring research, development, and novel applications of computing and combinatorics. It brings together researchers, professionals and industrial practitioners to interact and exchange knowledge, ideas and progress. Thetopics covermost aspects oftheoreticalcomputer scienceand combinatorics related to computing. The 13th Annual International Computing and Com- natorics Conference (COCOON 2007) was held in Ban?, Alberta during July 16–19, 2007. This was the ?rst time that COCOON was held in Canada. We received 165 submissions, among which 11 were withdrawn for various reasons. The remaining 154 submissions under full consideration came from 33 countries and regions: Australia, Brazil, Canada, China, the Czech Republic, Denmark, Finland, France, Germany, Greece, Hong Kong, India, Iran, Ireland, Israel, Italy, Japan, the Netherlands, Norway, Pakistan, Poland, Romania, R- sia, Slovakia, South Korea, Spain, Sweden, Switzerland, Taiwan, Turkey, the UK, the USA, and the US minor outlying islands. Afterasixweekperiodofcarefulreviewinganddiscussions,theprogramc- mittee accepted 51 submissions for oral presentation at the conference. Based on the a?liations, 1. 08 of the accepted papers were from Australia, 7. 67 from Canada, 3. 08 from China, 1 from the Czech Republic, 2 from Denmark, 1 from France, 5. 42 from Germany, 0. 08 from Greece, 2. 18 from Hong Kong, 0. 33 from India, 0. 17 from Ireland, 1. 83 from Israel, 1. 5fromItaly,2. 9 from Japan, 0. 17 from the Netherlands, 2. 67 from Norway, 0.

STACS 95

STACS 95 PDF Author: Ernst W. Mayr
Publisher: Springer Science & Business Media
ISBN: 9783540590422
Category : Computers
Languages : en
Pages : 698

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Book Description
This book presents the proceedings of the 12th Annual Symposium on Theoretical Aspects of Computer Science (STACS 95), held in Munich, Germany in March 1995. Besides three invited talks, the book contains revised versions of 53 research papers selected from a total of 180 submissions. The contributions address all current aspects of theoretical computer science; they are organized in sections on complexity theory, automata theory, algorithms, logic, theory of parallel computing, communication theory, graph theory and databases, and computational geometry.