On the Power of Small-Depth Computation

On the Power of Small-Depth Computation
Author: Emanuele Viola
Publisher: Now Publishers Inc
Total Pages: 84
Release: 2009
Genre: Computers
ISBN: 160198300X

In this work we discuss selected topics on small-depth computation, presenting a few unpublished proofs along the way.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challenge of exhibiting explicit functions that have small correlation with low-degree polynomials over {0, 1}.(2) An unpublished proof that small bounded-depth circuits (AC0) have exponentially small correlation with the parity function.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


Computational Complexity

Computational Complexity
Author: Sanjeev Arora
Publisher: Cambridge University Press
Total Pages: 609
Release: 2009-04-20
Genre: Computers
ISBN: 0521424267

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


Neural Networks and Statistical Learning

Neural Networks and Statistical Learning
Author: Ke-Lin Du
Publisher: Springer Nature
Total Pages: 996
Release: 2019-09-12
Genre: Mathematics
ISBN: 1447174526

This book provides a broad yet detailed introduction to neural networks and machine learning in a statistical framework. A single, comprehensive resource for study and further research, it explores the major popular neural network models and statistical learning approaches with examples and exercises and allows readers to gain a practical working understanding of the content. This updated new edition presents recently published results and includes six new chapters that correspond to the recent advances in computational learning theory, sparse coding, deep learning, big data and cloud computing. Each chapter features state-of-the-art descriptions and significant research findings. The topics covered include: • multilayer perceptron; • the Hopfield network; • associative memory models;• clustering models and algorithms; • t he radial basis function network; • recurrent neural networks; • nonnegative matrix factorization; • independent component analysis; •probabilistic and Bayesian networks; and • fuzzy sets and logic. Focusing on the prominent accomplishments and their practical aspects, this book provides academic and technical staff, as well as graduate students and researchers with a solid foundation and comprehensive reference on the fields of neural networks, pattern recognition, signal processing, and machine learning.


STACS 2006

STACS 2006
Author: Bruno Durand
Publisher: Springer
Total Pages: 730
Release: 2006-03-01
Genre: Computers
ISBN: 3540322884

This book constitutes the refereed proceedings of the 23rd Annual Symposium on Theoretical Aspects of Computer Science, held in February 2006. The 54 revised full papers presented together with three invited papers were carefully reviewed and selected from 283 submissions. The papers address the whole range of theoretical computer science including algorithms and data structures, automata and formal languages, complexity theory, semantics, and logic in computer science.


Embedded and Ubiquitous Computing

Embedded and Ubiquitous Computing
Author: Tei-Wei Kuo
Publisher: Springer
Total Pages: 789
Release: 2007-11-25
Genre: Computers
ISBN: 3540770925

This book constitutes the refereed proceedings of the International Conference on Embedded and Ubiquitous Computing, EUC 2007, held in Taipei, Taiwan, in December 2007. The 65 revised full papers presented were carefully reviewed and selected from 217 submissions. The papers are organized in topical sections. They include sections on power aware computing, reconfigurable embedded systems, wireless networks, real-time/embedded operating systems, and embedded system architectures.


SIAM Journal on Computing

SIAM Journal on Computing
Author: Society for Industrial and Applied Mathematics
Publisher:
Total Pages: 816
Release: 2004
Genre: Electronic data processing
ISBN:


Encyclopedia of Microcomputers

Encyclopedia of Microcomputers
Author: Allen Kent
Publisher: CRC Press
Total Pages: 408
Release: 1999-10-29
Genre: Computers
ISBN: 9780824727222

This encyclopaedia covers Characterization Hierarchy Containing Augmented Characterizations to Video Compression.


Computing and Combinatorics

Computing and Combinatorics
Author: Wen-Lian Hsu
Publisher: Springer
Total Pages: 392
Release: 2007-10-28
Genre: Computers
ISBN: 3540685359

The papers in this volume were selected for presentation at the Fourth Annual International Computing and Combinatorics Conference (COCOON’98), held on August 12–14, 1998, in Taipei. The topics cover most aspects of theoretical computer science and combinatorics related to computing. Submissions to the conference this year was only conducted electronically. Thanks to the excellent software developed by the system team of the Institute of Information Science, we were able to make virtually all communications through the World Wide Web. A total of 69 papers was submitted in time to be considered, of which 36 papers were accepted for presentation at the conference. In addition to these contributed papers, the conference also included four invited presentations by Christo Papadimitriou, Michael Fishcher, Fan Chung Graham and Rao Kosaraju. It is expected that most of the accepted papers will appear in a more complete form in scienti?c journals. Moreover, selected papers will appear in a special issue of Theoretical Computer Science. We thank all program committee members, their support sta? and referees for excellent work within demanding time constraints. We thank all authors who submitted papers for consideration. We are especially grateful to our colleagues who worked hard and o?ered widely di?ering talents to make the conference both possible and enjoyable. August 1998 Wen-Lian Hsu and Ming-Yang Kao Program Co-chairs COCOON’98 Organization COCOON’98 is organized by the Institute of Information Science, Academia Sinica, Taipei, Taiwan, ROC and in cooperation with Institute of Information and Computing Machinery (IICM), Taiwan, ROC.