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

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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.

Cognitive Networked Sensing and Big Data

Author: Robert Qiu,Michael Wicks

Publisher: Springer Science & Business Media

ISBN: 1461445442

Category: Technology & Engineering

Page: 614

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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.

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: 4769

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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.

Concentration Inequalities

A Nonasymptotic Theory of Independence

Author: Stéphane Boucheron,Gábor Lugosi,Pascal Massart

Publisher: OUP Oxford

ISBN: 0191655511

Category: Mathematics

Page: 496

View: 5785

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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.


Applications in Neuroscience

Author: Giovanni Coppola

Publisher: Oxford University Press

ISBN: 0199355002

Category: Medical

Page: 272

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The OMICs: Applications in Neuroscience summarizes the state of the art in high-throughput approaches (collectively known as 'OMICs') in neurology and neuroscience, and is of interest to both neurologists tracking the progress of these methods towards clinical applications, and neuroscientists curious about the most recent advances in this ever-changing field. The explosion of high-throughput assays has introduced large datasets, computational servers, and bioinformatics approaches to neuroscience, and medicine in general. The book includes a rich survey of the most relevant OMICs applications and how they relate to neurology and neuroscience. The reader is given an overview of the method, a perspective on the current and future applications, and published examples illustrating practical uses.

Elementare Wahrscheinlichkeitstheorie und stochastische Prozesse

Author: Kai L. Chung

Publisher: Springer-Verlag

ISBN: 3642670334

Category: Mathematics

Page: 346

View: 651

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Aus den Besprechungen: "Unter den zahlreichen Einführungen in die Wahrscheinlichkeitsrechnung bildet dieses Buch eine erfreuliche Ausnahme. Der Stil einer lebendigen Vorlesung ist über Niederschrift und Übersetzung hinweg erhalten geblieben. In jedes Kapitel wird sehr anschaulich eingeführt. Sinn und Nützlichkeit der mathematischen Formulierungen werden den Lesern nahegebracht. Die wichtigsten Zusammenhänge sind als mathematische Sätze klar formuliert." #FREQUENZ#1

Approximative Algorithmen und Nichtapproximierbarkeit

Author: Klaus Jansen,Marian Margraf

Publisher: Walter de Gruyter

ISBN: 3110203170

Category: Mathematics

Page: 501

View: 8571

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Gegenstand dieses Lehrbuchs ist die Behandlung schwer lösbarer diskreter Optimierungsprobleme. Im ersten Teil werden schnelle Algorithmen vorgestellt, die solche Probleme näherungsweise lösen können. Der zweite Teil behandelt Komplexitätstheorie und Nichtapproximierbarkeit von Optimierungsproblemen. Das Lehrbuch enthält zudem zahlreiche Anwendungsbeispiele, Übungsaufgaben, Illustrationen und Abschnitte über Grundlagen wie etwa die Turingmaschine.

Procalcitonin (Pct)

Author: M. Meisner

Publisher: Georg Thieme Verlag

ISBN: 9783131055033


Page: 196

View: 2610

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This work provides specific infection parameters for bacterial infections, and indicators for the inflammatory activity of sepsis and multi-organ failure.


Author: Institute of Electrical and Electronics Engineers

Publisher: N.A

ISBN: 9780780379299

Category: Earth sciences

Page: 4610

View: 9350

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Learning from Earth's Shapes and Sizes : 2003 IEEE International Geoscience and Remote Sensing Symposium : Proceedings : Centre de Congrès Pierre Baudis, Toulouse, France, 21-25 July, 2003

Author: N.A

Publisher: N.A


Category: Earth sciences

Page: 4610

View: 4844

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