Concentration of Measure for the Analysis of Randomized Algorithms

Author: Devdatt P. Dubhashi,Alessandro Panconesi

Publisher: Cambridge University Press

ISBN: 1139480995

Category: Computers

Page: N.A

View: 8617

DOWNLOAD NOW »

Randomized algorithms have become a central part of the algorithms curriculum, based on their increasingly widespread use in modern applications. This book presents a coherent and unified treatment of probabilistic techniques for obtaining high probability estimates on the performance of randomized algorithms. It covers the basic toolkit from the Chernoff–Hoeffding bounds to more sophisticated techniques like martingales and isoperimetric inequalities, as well as some recent developments like Talagrand's inequality, transportation cost inequalities and log-Sobolev inequalities. Along the way, variations on the basic theme are examined, such as Chernoff–Hoeffding bounds in dependent settings. The authors emphasise comparative study of the different methods, highlighting respective strengths and weaknesses in concrete example applications. The exposition is tailored to discrete settings sufficient for the analysis of algorithms, avoiding unnecessary measure-theoretic details, thus making the book accessible to computer scientists as well as probabilists and discrete mathematicians.
Release

Tools and Algorithms for the Construction and Analysis of Systems

22nd International Conference, TACAS 2016, Held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016, Eindhoven, The Netherlands, April 2-8, 2016, Proceedings

Author: Marsha Chechik,Jean-François Raskin

Publisher: Springer

ISBN: 3662496747

Category: Computers

Page: 961

View: 4616

DOWNLOAD NOW »

This book constitutes the proceedings of the 22nd International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2016, which took place in Eindhoven, The Netherlands, in April 2016, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016. The 44 full papers presented in this volume were carefully reviewed and selected from 175 submissions. They were organized in topical sections named: abstraction and verification; probabilistic and stochastic systems; synthesis; tool papers; concurrency; tool demos; languages and automata; security; optimization; and competition on software verification – SV-COMP.
Release

Cognitive Networked Sensing and Big Data

Author: Robert Qiu,Michael Wicks

Publisher: Springer Science & Business Media

ISBN: 1461445442

Category: Technology & Engineering

Page: 614

View: 7777

DOWNLOAD NOW »

Wireless Distributed Computing and Cognitive Sensing defines high-dimensional data processing in the context of wireless distributed computing and cognitive sensing. This book presents the challenges that are unique to this area such as synchronization caused by the high mobility of the nodes. The author will discuss the integration of software defined radio implementation and testbed development. The book will also bridge new research results and contextual reviews. Also the author provides an examination of large cognitive radio network; hardware testbed; distributed sensing; and distributed computing.
Release

Spherical and Plane Integral Operators for PDEs

Construction, Analysis, and Applications

Author: Karl K. Sabelfeld,Irina A. Shalimova

Publisher: Walter de Gruyter

ISBN: 3110315335

Category: Mathematics

Page: 338

View: 8417

DOWNLOAD NOW »

The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.
Release

Concentration Inequalities

A Nonasymptotic Theory of Independence

Author: Stéphane Boucheron,Gábor Lugosi,Pascal Massart

Publisher: OUP Oxford

ISBN: 0191655511

Category: Mathematics

Page: 496

View: 378

DOWNLOAD NOW »

Concentration inequalities for functions of independent random variables is an area of probability theory that has witnessed a great revolution in the last few decades, and has applications in a wide variety of areas such as machine learning, statistics, discrete mathematics, and high-dimensional geometry. Roughly speaking, if a function of many independent random variables does not depend too much on any of the variables then it is concentrated in the sense that with high probability, it is close to its expected value. This book offers a host of inequalities to illustrate this rich theory in an accessible way by covering the key developments and applications in the field. The authors describe the interplay between the probabilistic structure (independence) and a variety of tools ranging from functional inequalities to transportation arguments to information theory. Applications to the study of empirical processes, random projections, random matrix theory, and threshold phenomena are also presented. A self-contained introduction to concentration inequalities, it includes a survey of concentration of sums of independent random variables, variance bounds, the entropy method, and the transportation method. Deep connections with isoperimetric problems are revealed whilst special attention is paid to applications to the supremum of empirical processes. Written by leading experts in the field and containing extensive exercise sections this book will be an invaluable resource for researchers and graduate students in mathematics, theoretical computer science, and engineering.
Release

Physiotherapy for Respiratory and Cardiac Problems

Adults and Paediatrics

Author: Jennifer A. Pryor,Ammani S Prasad

Publisher: Elsevier Health Sciences

ISBN: 0702039748

Category: Medical

Page: 640

View: 9992

DOWNLOAD NOW »

Now in it’s fourth edition, Physiotherapy for Respiratory and Cardiac Problems continues to be an essential textbook and reference source for undergraduate and postgraduate students, and for the clinician working with patients with cardiac and respiratory problems. It strengths lie in integrating the evidence with clinical practice and in covering the whole patient lifespan - infants, children, adolescents and adults. new chapters on: critical care, surgery, and psychological aspects of care expanded evidence for clinical practice case studies multi-contributed chapters written by internationally recognised experts extensively revised text with new illustrations and photographs comprehensive reference lists which directs the reader to further sources of information Part of the Physiotherapy Essentials series - core textbooks for both students and lecturers Online image bank now available! Log on to http://evolve.elsevier.com/Pryor/physiotherapy and type in your unique pincode for access to over 300 downloadable images
Release

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

11th International Workshop, APPROX 2008 and 12th International Workshop, RANDOM 2008, Boston, MA, USA, August 25-27, 2008

Author: Ashish Goel,Klaus Jansen,José Rolim,Ronitt Rubinfeld

Publisher: Springer Science & Business Media

ISBN: 3540853626

Category: Computers

Page: 604

View: 5078

DOWNLOAD NOW »

This book constitutes the joint refereed proceedings of the 11th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2008 and the 12th International Workshop on Randomization and Computation, RANDOM 2008, held in Boston, MA, USA, in August 2008. The 20 revised full papers of the APPROX 2008 workshop were carefully reviewed and selected from 42 submissions and focus on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM 2008 is concerned with applications of randomness to computational and combinatorial problems and accounts for 27 revised full papers, also diligently reviewed and selected out of 52 workshop submissions.
Release