Advances in Microlocal and Time-Frequency Analysis

Advances in Microlocal and Time-Frequency Analysis PDF

Author: Paolo Boggiatto

Publisher: Springer Nature

Published: 2020-03-03

Total Pages: 533

ISBN-13: 3030361381

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The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th birthday. The conference’s focus and the contents of the papers reflect Luigi’s various research interests in the course of his long and extremely prolific career at Torino University.

Bridge Collapse Frequencies versus Failure Probabilities

Bridge Collapse Frequencies versus Failure Probabilities PDF

Author: Dirk Proske

Publisher: Springer

Published: 2018-02-22

Total Pages: 126

ISBN-13: 331973833X

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This monograph provides a comparative study between failure probabilities and collapse frequencies in structural bridge engineering. The author presents techniques to resolve and extend the limitations of both parameters, taking also into account the time dependency of both parameters. The book includes available data and case studies and thus presents patterns to identify potential weaknesses and challenges in bridge maintenance. The target audience primarily comprises practicing engineers in the field of bridge engineering, but the book may also be beneficial for academic researchers alike.

Catalogue of Risks

Catalogue of Risks PDF

Author: Dirk Proske

Publisher: Springer Science & Business Media

Published: 2008-07-24

Total Pages: 521

ISBN-13: 3540795553

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Since the German edition of this book, the topic of risk has experienced even greater attention, not only in the world of science but also in other fields, such as economics and politics. Therefore, many new publications have evolved. To keep with the idea of an encyclopedia for the topic of risk, this book has been completely reworked. Not only are many updated examples included in chapter “Risks and disasters” but also new chapters have been introduced, such as the chapter “Indetermination and risk”. This new chapter was developed since the question “Is it possible for risks to be completely eliminated, and if not why?” has become a major point of c- cern. Therefore, especially in this chapter, the focus of the book has - tended from a simple mathematical or engineering point of view to include much broader concepts. Here, not only aspects of system theory have to be considered, but also some general philosophical questions start to inf- ence the considerations of the topic of risk. The main goal of this edition, however, is not only the extension and revision of the book, but also the translation into the English language to allow more readers access to the ideas of the book. The author deeply hopes that the success the book made in the German edition continues and that readers experience a major gain from reading the book.

18th International Probabilistic Workshop

18th International Probabilistic Workshop PDF

Author: José C. Matos

Publisher: Springer Nature

Published: 2021-05-07

Total Pages: 855

ISBN-13: 3030736164

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This volume presents the proceedings of the 18th International Probabilistic Workshop (IPW), which was held in Guimarães, Portugal in May 2021. Probabilistic methods are currently of crucial importance for research and developments in the field of engineering, which face challenges presented by new materials and technologies and rapidly changing societal needs and values. Contemporary needs related to, for example, performance-based design, service-life design, life-cycle analysis, product optimization, assessment of existing structures and structural robustness give rise to new developments as well as accurate and practically applicable probabilistic and statistical engineering methods to support these developments. These proceedings are a valuable resource for anyone interested in contemporary developments in the field of probabilistic engineering applications.

Locating Lines and Hyperplanes

Locating Lines and Hyperplanes PDF

Author: Anita Schöbel

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 206

ISBN-13: 1461553210

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Line and hyperplane location problems play an important role not only in operations research and location theory, but also in computational geometry and robust statistics. This book provides a survey on line and hyperplane location combining analytical and geometrical methods. The major portion of the text presents new results on this topic, including the extension of some special cases to all distances derived from norms and a discussion of restricted problems in the plane. Almost all results are proven in the text and most of them are illustrated by examples. Furthermore, relations to classical facility location and to problems in computational geometry are pointed out. Audience: The book is suitable for researchers, lecturers, and graduate students working in the fields of location theory or computational geometry.

Practical Bayesian Inference

Practical Bayesian Inference PDF

Author: Coryn A. L. Bailer-Jones

Publisher: Cambridge University Press

Published: 2017-04-27

Total Pages: 306

ISBN-13: 1108127673

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Science is fundamentally about learning from data, and doing so in the presence of uncertainty. This volume is an introduction to the major concepts of probability and statistics, and the computational tools for analysing and interpreting data. It describes the Bayesian approach, and explains how this can be used to fit and compare models in a range of problems. Topics covered include regression, parameter estimation, model assessment, and Monte Carlo methods, as well as widely used classical methods such as regularization and hypothesis testing. The emphasis throughout is on the principles, the unifying probabilistic approach, and showing how the methods can be implemented in practice. R code (with explanations) is included and is available online, so readers can reproduce the plots and results for themselves. Aimed primarily at undergraduate and graduate students, these techniques can be applied to a wide range of data analysis problems beyond the scope of this work.

Bayesian Approach to Inverse Problems

Bayesian Approach to Inverse Problems PDF

Author: Jérôme Idier

Publisher: John Wiley & Sons

Published: 2013-03-01

Total Pages: 322

ISBN-13: 111862369X

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Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image estimation. The first three chapters bring the theoretical notions that make it possible to cast inverse problems within a mathematical framework. The next three chapters address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters 7 and 8 deal with advanced statistical questions linked to image estimation. In the last five chapters, the main tools introduced in the previous chapters are put into a practical context in important applicative areas, such as astronomy or medical imaging.

Identification Methods for Structural Health Monitoring

Identification Methods for Structural Health Monitoring PDF

Author: Eleni Chatzi

Publisher: Springer

Published: 2016-05-25

Total Pages: 175

ISBN-13: 3319320777

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The papers in this volume provide an introduction to well known and established system identification methods for structural health monitoring and to more advanced, state-of-the-art tools, able to tackle the challenges associated with actual implementation. Starting with an overview on fundamental methods, introductory concepts are provided on the general framework of time and frequency domain, parametric and non-parametric methods, input-output or output only techniques. Cutting edge tools are introduced including, nonlinear system identification methods; Bayesian tools; and advanced modal identification techniques (such as the Kalman and particle filters, the fast Bayesian FFT method). Advanced computational tools for uncertainty quantification are discussed to provide a link between monitoring and structural integrity assessment. In addition, full scale applications and field deployments that illustrate the workings and effectiveness of the introduced monitoring schemes are demonstrated.