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Optimization Problems

Hidetoshi Nishimori

in Statistical Physics of Spin Glasses and Information Processing: An Introduction

Published in print:
2001
Published Online:
January 2010
ISBN:
9780198509417
eISBN:
9780191709081
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509417.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

A decision-making problem is often formulated as the minimization or maximization of a multivariable function, an optimization problem. This chapter shows that the methods of statistical mechanics ... More


Algorithms for estimating parametric nonlinear models

Timo Teräsvirta, Dag Tjøstheim, and W. J. Granger

in Modelling Nonlinear Economic Time Series

Published in print:
2010
Published Online:
May 2011
ISBN:
9780199587148
eISBN:
9780191595387
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199587148.003.0012
Subject:
Economics and Finance, Econometrics

This chapter contains an introduction to estimating parametric nonlinear models. Estimation has to be carried out using numerical algorithms. Both algorithms not using derivatives of the function to ... More


REMARKS ON THE EDWARDS–ANDERSON PAPER

P. W. Anderson

in Stealing the Gold: A celebration of the pioneering physics of Sam Edwards

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528531
eISBN:
9780191713415
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528531.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents a brief history of the inspirations and ideas behind the famous seminal spin glass paper of Edwards and Anderson, together with some of the further work it stimulated.


Refinement

Dennis Sherwood and Jon Cooper

in Crystals, X-rays and Proteins: Comprehensive Protein Crystallography

Published in print:
2010
Published Online:
January 2011
ISBN:
9780199559046
eISBN:
9780191595028
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199559046.003.0015
Subject:
Physics, Crystallography

This chapter begins by emphasizing that the initial electron density for a protein will be significantly affected by errors in the experimental phases and, subsequently, additional errors of ... More


Global optimization strategies

Kenneth Shankland and William I. F. David

in Structure Determination from Powder Diffraction Data

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199205530
eISBN:
9780191718076
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205530.003.0015
Subject:
Physics, Condensed Matter Physics / Materials

Global optimisation methods that involve the assessment of multiple trial crystal structures against measured diffraction data offer a powerful alternative to Direct methods of structure solution. ... More


A probabilistic toolbox

Marc Mézard and Andrea Montanari

in Information, Physics, and Computation

Published in print:
2009
Published Online:
September 2009
ISBN:
9780198570837
eISBN:
9780191718755
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570837.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The three fields that form the subject of this book all deal with large sets of random variables. Not surprisingly, they possess common underlying structures and techniques. This chapter describes ... More


Solution of flexible molecular structures by simulated annealing

Peter G. Bruce and Yuri G. Andreev

in Structure Determination from Powder Diffraction Data

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199205530
eISBN:
9780191718076
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205530.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

The chapter describes a simulated annealing approach to solving highly flexible molecular crystal structures. Particular attention is paid to the description of the models whose position, ... More


Surrogate Data Testing

Ray Huffaker, Marco Bittelli, and Rodolfo Rosa

in Nonlinear Time Series Analysis with R

Published in print:
2017
Published Online:
February 2018
ISBN:
9780198782933
eISBN:
9780191826153
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198782933.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The concept of Shannon entropy is introduced and code is presented to apply it to the logistic map. Entropy tests are discussed and surrogate tests based on the entropy concepts are presented and ... More


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