Uncertainty and Sensitivity Analysis in Support Vector Machines

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Publisher :
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4.:/5 (713 download)

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Book Synopsis Uncertainty and Sensitivity Analysis in Support Vector Machines by : Jin Park

Download or read book Uncertainty and Sensitivity Analysis in Support Vector Machines written by Jin Park and published by . This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aerospace System Analysis and Optimization in Uncertainty

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Publisher : Springer Nature
ISBN 13 : 3030391264
Total Pages : 477 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Aerospace System Analysis and Optimization in Uncertainty by : Loïc Brevault

Download or read book Aerospace System Analysis and Optimization in Uncertainty written by Loïc Brevault and published by Springer Nature. This book was released on 2020-08-26 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spotlighting the field of Multidisciplinary Design Optimization (MDO), this book illustrates and implements state-of-the-art methodologies within the complex process of aerospace system design under uncertainties. The book provides approaches to integrating a multitude of components and constraints with the ultimate goal of reducing design cycles. Insights on a vast assortment of problems are provided, including discipline modeling, sensitivity analysis, uncertainty propagation, reliability analysis, and global multidisciplinary optimization. The extensive range of topics covered include areas of current open research. This Work is destined to become a fundamental reference for aerospace systems engineers, researchers, as well as for practitioners and engineers working in areas of optimization and uncertainty. Part I is largely comprised of fundamentals. Part II presents methodologies for single discipline problems with a review of existing uncertainty propagation, reliability analysis, and optimization techniques. Part III is dedicated to the uncertainty-based MDO and related issues. Part IV deals with three MDO related issues: the multifidelity, the multi-objective optimization and the mixed continuous/discrete optimization and Part V is devoted to test cases for aerospace vehicle design.

Uncertainty Quantification and Sensitivity Analysis in Statistical Machine Learning

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Publisher :
ISBN 13 : 9780438290594
Total Pages : pages
Book Rating : 4.2/5 (95 download)

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Book Synopsis Uncertainty Quantification and Sensitivity Analysis in Statistical Machine Learning by : Chunzhe Zhang

Download or read book Uncertainty Quantification and Sensitivity Analysis in Statistical Machine Learning written by Chunzhe Zhang and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, the rapid growth of data size generates new challenges in many statistical learning problems and poses new questions that require further advancements in these areas. For many of these new challenges and problems, point estimation has been well studied. However, many other important aspects, such as interval estimation, hypothesis testing, and sensitivity analysis, are less studied. This dissertation considers the problem of uncertainty quantification and sensitivity analysis in three statistical machine learning problems. The first problem is high-dimensional regression and this dissertation proposes a novel method for performing, in addition to the classical variable selection and estimation tasks, interval estimation and hypothesis testing. The proposed method is extremely fast and is backed up with theoretical guarantees. The second problem considers sensitivity analysis in classification. In addition to establishing a new framework for this problem, this dissertation develops a new classification method which is able to provide accurate sensitivity analysis results as well as to produce promising classification accuracy. The last problem concerns low-rank matrix completion. In particular, this dissertation provides a first method for quantifying uncertainty when estimating missing entries of a matrix.

Sensitivity & Uncertainty Analysis, Volume 1

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Publisher : CRC Press
ISBN 13 : 0203498798
Total Pages : 304 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Sensitivity & Uncertainty Analysis, Volume 1 by : Dan G. Cacuci

Download or read book Sensitivity & Uncertainty Analysis, Volume 1 written by Dan G. Cacuci and published by CRC Press. This book was released on 2003-05-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right. While most techniques used for these analyses are well documented, there has yet to appear a systematic treatment of the method based

Sensitivity and Uncertainty Analysis, Volume II

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Publisher : CRC Press
ISBN 13 : 020348357X
Total Pages : 367 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Sensitivity and Uncertainty Analysis, Volume II by : Dan G. Cacuci

Download or read book Sensitivity and Uncertainty Analysis, Volume II written by Dan G. Cacuci and published by CRC Press. This book was released on 2005-05-16 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint Sensitivity Analysis Procedure. This volume concentrates on the practical aspects of performing these analyses for large-scale systems. The applications addressed include two-phase flow problems, a radiative convective model for climate simulations, and large-scale models for numerical weather prediction.

Sensitivity Analysis

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Publisher : John Wiley & Sons
ISBN 13 : 0471998923
Total Pages : 515 pages
Book Rating : 4.4/5 (719 download)

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Book Synopsis Sensitivity Analysis by : Andrea Saltelli

Download or read book Sensitivity Analysis written by Andrea Saltelli and published by John Wiley & Sons. This book was released on 2000-10-03 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis is used to ascertain how a given model output depends upon the input parameters. This is an important method for checking the quality of a given model, as well as a powerful tool for checking the robustness and reliability of its analysis. The topic is acknowledged as essential for good modelling practice, and is an implicit part of any modelling field. · Offers an accessible introduction to sensitivity analysis · Covers all the latest research · Illustrates concepts with numerous examples, applications and case studies · Includes contributions form the leading researchers active in developing strategies for sensitivity analysis The principles of sensitivity analysis area carefully described, and suitable methods for approaching many types of problems are given. The book introduces the modeller to the entire causal assessment chain, from data to predictions, whilst explaining the impact of source uncertainties and framing assumptions. A 'hitch-hiker's guide' is included to allow the more experienced reader to readily access specific applications. Modellers from a wide range of disciplines, including biostatistics, economics, environmental impact assessment, chemistry and engineering will benefit greatly form the numerous examples and applications.

Design Optimization Under Uncertainty

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Publisher : Springer Nature
ISBN 13 : 3031492080
Total Pages : 282 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Design Optimization Under Uncertainty by : Weifei Hu

Download or read book Design Optimization Under Uncertainty written by Weifei Hu and published by Springer Nature. This book was released on 2023-12-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the fundamentals of probability, statistical, and reliability concepts, the classical methods of uncertainty quantification and analytical reliability analysis, and the state-of-the-art approaches of design optimization under uncertainty (e.g., reliability-based design optimization and robust design optimization). The topics include basic concepts of probability and distributions, uncertainty quantification using probabilistic methods, classical reliability analysis methods, time-variant reliability analysis methods, fundamentals of deterministic design optimization, reliability-based design optimization, robust design optimization, other methods of design optimization under uncertainty, and engineering applications of design optimization under uncertainty.

Pattern Classification

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Publisher : Springer Science & Business Media
ISBN 13 : 1447102851
Total Pages : 332 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Pattern Classification by : Shigeo Abe

Download or read book Pattern Classification written by Shigeo Abe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified approach for developing a fuzzy classifier and explains the advantages and disadvantages of different classifiers through extensive performance evaluation of real data sets. It thus offers new learning paradigms for analyzing neural networks and fuzzy systems, while training fuzzy classifiers. Function approximation is also treated and function approximators are compared.

Research Methodology

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Publisher : CRC Press
ISBN 13 : 1351013254
Total Pages : 362 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Research Methodology by : Vinayak Bairagi

Download or read book Research Methodology written by Vinayak Bairagi and published by CRC Press. This book was released on 2019-01-30 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a design research methodology intended to improve the quality of design research- its academic credibility, industrial significance and societal contribution by enabling more thorough, efficient and effective procedures.

Knowledge Discovery with Support Vector Machines

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Publisher : John Wiley & Sons
ISBN 13 : 1118211030
Total Pages : 211 pages
Book Rating : 4.1/5 (182 download)

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Book Synopsis Knowledge Discovery with Support Vector Machines by : Lutz H. Hamel

Download or read book Knowledge Discovery with Support Vector Machines written by Lutz H. Hamel and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easy-to-follow introduction to support vector machines This book provides an in-depth, easy-to-follow introduction to support vector machines drawing only from minimal, carefully motivated technical and mathematical background material. It begins with a cohesive discussion of machine learning and goes on to cover: Knowledge discovery environments Describing data mathematically Linear decision surfaces and functions Perceptron learning Maximum margin classifiers Support vector machines Elements of statistical learning theory Multi-class classification Regression with support vector machines Novelty detection Complemented with hands-on exercises, algorithm descriptions, and data sets, Knowledge Discovery with Support Vector Machines is an invaluable textbook for advanced undergraduate and graduate courses. It is also an excellent tutorial on support vector machines for professionals who are pursuing research in machine learning and related areas.

Quantifying Uncertainty in Subsurface Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1119325870
Total Pages : 304 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Quantifying Uncertainty in Subsurface Systems by : Céline Scheidt

Download or read book Quantifying Uncertainty in Subsurface Systems written by Céline Scheidt and published by John Wiley & Sons. This book was released on 2018-04-27 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under the Earth’s surface is a rich array of geological resources, many with potential use to humankind. However, extracting and harnessing them comes with enormous uncertainties, high costs, and considerable risks. The valuation of subsurface resources involves assessing discordant factors to produce a decision model that is functional and sustainable. This volume provides real-world examples relating to oilfields, geothermal systems, contaminated sites, and aquifer recharge. Volume highlights include: • A multi-disciplinary treatment of uncertainty quantification • Case studies with actual data that will appeal to methodology developers • A Bayesian evidential learning framework that reduces computation and modeling time Quantifying Uncertainty in Subsurface Systems is a multidisciplinary volume that brings together five major fields: information science, decision science, geosciences, data science and computer science. It will appeal to both students and practitioners, and be a valuable resource for geoscientists, engineers and applied mathematicians. Read the Editors’ Vox: https://eos.org/editors-vox/quantifying-uncertainty-about-earths-resources

Fundamentals of Uncertainty Quantification for Engineers

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Publisher : Elsevier
ISBN 13 : 9780443136610
Total Pages : 0 pages
Book Rating : 4.1/5 (366 download)

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Book Synopsis Fundamentals of Uncertainty Quantification for Engineers by : Yan Wang

Download or read book Fundamentals of Uncertainty Quantification for Engineers written by Yan Wang and published by Elsevier. This book was released on 2024-04-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Uncertainty Quantification for Engineers provides a comprehensive introduction to uncertainty quantification (UQ) accompanied by a wide variety of applied examples, implementation details, and practical exercises to reinforce the concepts outlined in the book. It starts with review of the history of probability theory and recent development of UQ methods in the domains of applied mathematics and data science. Major concepts of probability axioms, conditional probability, and Bayes' rule are discussed and examples of probability distributions in parametric data analysis, reliability, risk analysis, and materials informatics are included. Random processes, sampling methods, and surrogate modeling techniques including multivariate polynomial regression, Gaussian process regression, multi-fidelity surrogate, support-vector machine, and decision tress are also covered. Methods for model selection, calibration, and validation are introduced next, followed by chapters on sensitivity analysis, stochastic expansion methods, Markov models, and non-probabilistic methods. The book concludes with a chapter describing the methods that can be used to predict UQ in systems, such as Monte Carlo, stochastic expansion, upscaling, Langevin dynamics, and inverse problems, with example applications in multiscale modeling, simulations, and materials design.

Uncertainty Modeling for Engineering Applications

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Publisher : Springer
ISBN 13 : 3030048705
Total Pages : 186 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Uncertainty Modeling for Engineering Applications by : Flavio Canavero

Download or read book Uncertainty Modeling for Engineering Applications written by Flavio Canavero and published by Springer. This book was released on 2018-12-29 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of state-of-the-art uncertainty quantification (UQ) methodologies and applications, and covers a wide range of current research, future challenges and applications in various domains, such as aerospace and mechanical applications, structure health and seismic hazard, electromagnetic energy (its impact on systems and humans) and global environmental state change. Written by leading international experts from different fields, the book demonstrates the unifying property of UQ theme that can be profitably adopted to solve problems of different domains. The collection in one place of different methodologies for different applications has the great value of stimulating the cross-fertilization and alleviate the language barrier among areas sharing a common background of mathematical modeling for problem solution. The book is designed for researchers, professionals and graduate students interested in quantitatively assessing the effects of uncertainties in their fields of application. The contents build upon the workshop “Uncertainty Modeling for Engineering Applications” (UMEMA 2017), held in Torino, Italy in November 2017.

Sensitivity Analysis for Neural Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 3642025323
Total Pages : 89 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Sensitivity Analysis for Neural Networks by : Daniel S. Yeung

Download or read book Sensitivity Analysis for Neural Networks written by Daniel S. Yeung and published by Springer Science & Business Media. This book was released on 2009-11-09 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Artificial neural networks are used to model systems that receive inputs and produce outputs. The relationships between the inputs and outputs and the representation parameters are critical issues in the design of related engineering systems, and sensitivity analysis concerns methods for analyzing these relationships. Perturbations of neural networks are caused by machine imprecision, and they can be simulated by embedding disturbances in the original inputs or connection weights, allowing us to study the characteristics of a function under small perturbations of its parameters. This is the first book to present a systematic description of sensitivity analysis methods for artificial neural networks. It covers sensitivity analysis of multilayer perceptron neural networks and radial basis function neural networks, two widely used models in the machine learning field. The authors examine the applications of such analysis in tasks such as feature selection, sample reduction, and network optimization. The book will be useful for engineers applying neural network sensitivity analysis to solve practical problems, and for researchers interested in foundational problems in neural networks.

Mechanics and Uncertainty

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Publisher : John Wiley & Sons
ISBN 13 : 111893105X
Total Pages : 158 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Mechanics and Uncertainty by : Maurice Lemaire

Download or read book Mechanics and Uncertainty written by Maurice Lemaire and published by John Wiley & Sons. This book was released on 2014-04-16 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science is a quest for certainty, but lack of certainty is the driving force behind all of its endeavors. This book, specifically, examines the uncertainty of technological and industrial science. Uncertainty and Mechanics studies the concepts of mechanical design in an uncertain setting and explains engineering techniques for inventing cost-effective products. Though it references practical applications, this is a book about ideas and potential advances in mechanical science.

Sensitivity Analysis in Practice

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Publisher : John Wiley & Sons
ISBN 13 : 047087094X
Total Pages : 232 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Sensitivity Analysis in Practice by : Andrea Saltelli

Download or read book Sensitivity Analysis in Practice written by Andrea Saltelli and published by John Wiley & Sons. This book was released on 2004-07-16 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sensitivity analysis should be considered a pre-requisite for statistical model building in any scientific discipline where modelling takes place. For a non-expert, choosing the method of analysis for their model is complex, and depends on a number of factors. This book guides the non-expert through their problem in order to enable them to choose and apply the most appropriate method. It offers a review of the state-of-the-art in sensitivity analysis, and is suitable for a wide range of practitioners. It is focussed on the use of SIMLAB – a widely distributed freely-available sensitivity analysis software package developed by the authors – for solving problems in sensitivity analysis of statistical models. Other key features: Provides an accessible overview of the current most widely used methods for sensitivity analysis. Opens with a detailed worked example to explain the motivation behind the book. Includes a range of examples to help illustrate the concepts discussed. Focuses on implementation of the methods in the software SIMLAB - a freely-available sensitivity analysis software package developed by the authors. Contains a large number of references to sources for further reading. Authored by the leading authorities on sensitivity analysis.

Uncertainty Analysis with High Dimensional Dependence Modelling

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Publisher : John Wiley & Sons
ISBN 13 : 0470863080
Total Pages : 302 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Uncertainty Analysis with High Dimensional Dependence Modelling by : Dorota Kurowicka

Download or read book Uncertainty Analysis with High Dimensional Dependence Modelling written by Dorota Kurowicka and published by John Wiley & Sons. This book was released on 2006-10-02 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate complex real-world phenomena in many areas of science and technology. Large complex models typically require inputs whose values are not known with certainty. Uncertainty analysis aims to quantify the overall uncertainty within a model, in order to support problem owners in model-based decision-making. In recent years there has been an explosion of interest in uncertainty analysis. Uncertainty and dependence elicitation, dependence modelling, model inference, efficient sampling, screening and sensitivity analysis, and probabilistic inversion are among the active research areas. This text provides both the mathematical foundations and practical applications in this rapidly expanding area, including: An up-to-date, comprehensive overview of the foundations and applications of uncertainty analysis. All the key topics, including uncertainty elicitation, dependence modelling, sensitivity analysis and probabilistic inversion. Numerous worked examples and applications. Workbook problems, enabling use for teaching. Software support for the examples, using UNICORN - a Windows-based uncertainty modelling package developed by the authors. A website featuring a version of the UNICORN software tailored specifically for the book, as well as computer programs and data sets to support the examples. Uncertainty Analysis with High Dimensional Dependence Modelling offers a comprehensive exploration of a new emerging field. It will prove an invaluable text for researches, practitioners and graduate students in areas ranging from statistics and engineering to reliability and environmetrics.