Applied Multidimensional Scaling and Unfolding

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Publisher : Springer
ISBN 13 : 3319734717
Total Pages : 122 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Applied Multidimensional Scaling and Unfolding by : Ingwer Borg

Download or read book Applied Multidimensional Scaling and Unfolding written by Ingwer Borg and published by Springer. This book was released on 2018-05-16 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces multidimensional scaling (MDS) and unfolding as data analysis techniques for applied researchers. MDS is used for the analysis of proximity data on a set of objects, representing the data as distances between points in a geometric space (usually of two dimensions). Unfolding is a related method that maps preference data (typically evaluative ratings of different persons on a set of objects) as distances between two sets of points (representing the persons and the objects, resp.). This second edition has been completely revised to reflect new developments and the coverage of unfolding has also been substantially expanded. Intended for applied researchers whose main interests are in using these methods as tools for building substantive theories, it discusses numerous applications (classical and recent), highlights practical issues (such as evaluating model fit), presents ways to enforce theoretical expectations for the scaling solutions, and addresses the typical mistakes that MDS/unfolding users tend to make. Further, it shows how MDS and unfolding can be used in practical research work, primarily by using the smacof package in the R environment but also Proxscal in SPSS. It is a valuable resource for psychologists, social scientists, and market researchers, with a basic understanding of multivariate statistics (such as multiple regression and factor analysis).

Modern Multidimensional Scaling

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Publisher : Springer Science & Business Media
ISBN 13 : 1475727119
Total Pages : 469 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Modern Multidimensional Scaling by : Ingwer Borg

Download or read book Modern Multidimensional Scaling written by Ingwer Borg and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional scaling (MDS) is a technique for the analysis of similarity or dissimilarity data on a set of objects. Such data may be intercorrelations of test items, ratings of similarity on political candidates, or trade indices for a set of countries. MDS attempts to model such data as distances among points in a geometric space. The main reason for doing this is that one wants a graphical display of the structure of the data, one that is much easier to understand than an array of numbers and, moreover, one that displays the essential information in the data, smoothing out noise. There are numerous varieties of MDS. Some facets for distinguishing among them are the particular type of geometry into which one wants to map the data, the mapping function, the algorithms used to find an optimal data representation, the treatment of statistical error in the models, or the possibility to represent not just one but several similarity matrices at the same time. Other facets relate to the different purposes for which MDS has been used, to various ways of looking at or "interpreting" an MDS representation, or to differences in the data required for the particular models. In this book, we give a fairly comprehensive presentation of MDS. For the reader with applied interests only, the first six chapters of Part I should be sufficient. They explain the basic notions of ordinary MDS, with an emphasis on how MDS can be helpful in answering substantive questions.

Applied Multidimensional Scaling

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Publisher : Springer Science & Business Media
ISBN 13 : 3642318487
Total Pages : 113 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Applied Multidimensional Scaling by : Ingwer Borg

Download or read book Applied Multidimensional Scaling written by Ingwer Borg and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces MDS as a psychological model and as a data analysis technique for the applied researcher. It also discusses, in detail, how to use two MDS programs, Proxscal (a module of SPSS) and Smacof (an R-package). The book is unique in its orientation on the applied researcher, whose primary interest is in using MDS as a tool to build substantive theories. This is done by emphasizing practical issues (such as evaluating model fit), by presenting ways to enforce theoretical expectations on the MDS solution, and by discussing typical mistakes that MDS users tend to make. The primary audience of this book are psychologists, social scientists, and market researchers. No particular background knowledge is required, beyond a basic knowledge of statistics.

Fundamentals of Applied Multidimensional Scaling for Educational and Psychological Research

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Publisher : Springer
ISBN 13 : 3319781723
Total Pages : 197 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Fundamentals of Applied Multidimensional Scaling for Educational and Psychological Research by : Cody S. Ding

Download or read book Fundamentals of Applied Multidimensional Scaling for Educational and Psychological Research written by Cody S. Ding and published by Springer. This book was released on 2018-04-09 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the fundamentals of multidimensional scaling (MDS) and how this analytic method can be used in applied setting for educational and psychological research. The book tries to make MDS more accessible to a wider audience in terms of the language and examples that are more relevant to educational and psychological research and less technical so that the readers are not overwhelmed by equations. The goal is for readers to learn the methods described in this book and immediately start using MDS via available software programs. The book also examines new applications that have previously not been discussed in MDS literature. It should be an ideal book for graduate students and researchers to better understand MDS. Fundamentals of Applied Multidimensional Scaling for Educational and Psychological Research is divided into three parts. Part I covers the basic and fundamental features of MDS models pertaining to applied research applications. Chapters in this section cover the essential features of data that are typically associated with MDS analysis such as preference ration or binary choice data, and also looking at metric and non-metric MDS models to build a foundation for later discussion and applications in later chapters. Part II examines specific MDS models and its applications for education and psychology. This includes spatial analysis methods that can be used in MDS to test clustering effect of items and individual differences MDS model (INDSCAL). Finally, Part III focuses on new applications of MDS analysis in these research fields. These new applications consist of profile analysis, longitudinal analysis, mean-level change, and pattern change. The book concludes with a historical review of MDS development as an analytical method and a look to future directions.

Mobility Patterns, Big Data and Transport Analytics

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Publisher : Elsevier
ISBN 13 : 0128129719
Total Pages : 452 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mobility Patterns, Big Data and Transport Analytics by : Constantinos Antoniou

Download or read book Mobility Patterns, Big Data and Transport Analytics written by Constantinos Antoniou and published by Elsevier. This book was released on 2018-11-27 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mobility Patterns, Big Data and Transport Analytics provides a guide to the new analytical framework and its relation to big data, focusing on capturing, predicting, visualizing and controlling mobility patterns - a key aspect of transportation modeling. The book features prominent international experts who provide overviews on new analytical frameworks, applications and concepts in mobility analysis and transportation systems. Users will find a detailed, mobility ‘structural’ analysis and a look at the extensive behavioral characteristics of transport, observability requirements and limitations for realistic transportation applications and transportation systems analysis that are related to complex processes and phenomena. This book bridges the gap between big data, data science, and transportation systems analysis with a study of big data’s impact on mobility and an introduction to the tools necessary to apply new techniques. The book covers in detail, mobility ‘structural’ analysis (and its dynamics), the extensive behavioral characteristics of transport, observability requirements and limitations for realistic transportation applications, and transportation systems analysis related to complex processes and phenomena. The book bridges the gap between big data, data science, and Transportation Systems Analysis with a study of big data’s impact on mobility, and an introduction to the tools necessary to apply new techniques. Guides readers through the paradigm-shifting opportunities and challenges of handling Big Data in transportation modeling and analytics Covers current analytical innovations focused on capturing, predicting, visualizing, and controlling mobility patterns, while discussing future trends Delivers an introduction to transportation-related information advances, providing a benchmark reference by world-leading experts in the field Captures and manages mobility patterns, covering multiple purposes and alternative transport modes, in a multi-disciplinary approach Companion website features videos showing the analyses performed, as well as test codes and data-sets, allowing readers to recreate the presented analyses and apply the highlighted techniques to their own data

Geometric Structure of High-Dimensional Data and Dimensionality Reduction

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Publisher : Springer Science & Business Media
ISBN 13 : 3642274978
Total Pages : 356 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Geometric Structure of High-Dimensional Data and Dimensionality Reduction by : Jianzhong Wang

Download or read book Geometric Structure of High-Dimensional Data and Dimensionality Reduction written by Jianzhong Wang and published by Springer Science & Business Media. This book was released on 2012-04-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresses the recently developed nonlinear methods and introduces the applications of dimensionality reduction in many areas, such as face recognition, image segmentation, data classification, data visualization, and hyperspectral imagery data analysis. Numerous tables and graphs are included to illustrate the ideas, effects, and shortcomings of the methods. MATLAB code of all dimensionality reduction algorithms is provided to aid the readers with the implementations on computers. The book will be useful for mathematicians, statisticians, computer scientists, and data analysts. It is also a valuable handbook for other practitioners who have a basic background in mathematics, statistics and/or computer algorithms, like internet search engine designers, physicists, geologists, electronic engineers, and economists. Jianzhong Wang is a Professor of Mathematics at Sam Houston State University, U.S.A.

The SAGE Handbook of Quantitative Methodology for the Social Sciences

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Publisher : SAGE
ISBN 13 : 9780761923596
Total Pages : 532 pages
Book Rating : 4.9/5 (235 download)

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Book Synopsis The SAGE Handbook of Quantitative Methodology for the Social Sciences by : David Kaplan

Download or read book The SAGE Handbook of Quantitative Methodology for the Social Sciences written by David Kaplan and published by SAGE. This book was released on 2004-06-21 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative methodology is a highly specialized field, and as with any highly specialized field, working through idiosyncratic language can be very difficult made even more so when concepts are conveyed in the language of mathematics and statistics. The Sage Handbook of Quantitative Methodology for the Social Sciences was conceived as a way of introducing applied statisticians, empirical researchers, and graduate students to the broad array of state-of-the-art quantitative methodologies in the social sciences. The contributing authors of the Handbook were asked to write about their areas of expertise in a way that would convey to the reader the utility of their respective methodologies. Relevance to real-world problems in the social sciences is an essential ingredient of each chapter. The Handbook consists of six sections comprising twenty-five chapters, from topics in scaling and measurement, to advances in statistical modelling methodologies, and finally to broad philosophical themes that transcend many of the quantitative methodologies covered in this handbook.

Multidimensional Scaling

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Publisher : Psychology Press
ISBN 13 : 1135059888
Total Pages : 335 pages
Book Rating : 4.1/5 (35 download)

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Book Synopsis Multidimensional Scaling by : Forrest W. Young

Download or read book Multidimensional Scaling written by Forrest W. Young and published by Psychology Press. This book was released on 2013-05-13 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding presentation of the fundamentals of multidimensional scaling illustrates the applicability of MDS to a wide variety of disciplines. The first two sections provide ground work in the history and theory of MDS. The final section applies MDS techniques to such diverse fields as physics, marketing, and political science.

Multidimensional Scaling, Second Edition

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Author :
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584880943
Total Pages : 328 pages
Book Rating : 4.8/5 (89 download)

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Book Synopsis Multidimensional Scaling, Second Edition by : Trevor F. Cox

Download or read book Multidimensional Scaling, Second Edition written by Trevor F. Cox and published by Chapman and Hall/CRC. This book was released on 2000-09-28 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional scaling covers a variety of statistical techniques in the area of multivariate data analysis. Geared toward dimensional reduction and graphical representation of data, it arose within the field of the behavioral sciences, but now holds techniques widely used in many disciplines. Multidimensional Scaling, Second Edition extends the popular first edition and brings it up to date. It concisely but comprehensively covers the area, summarizing the mathematical ideas behind the various techniques and illustrating the techniques with real-life examples. A computer disk containing programs and data sets accompanies the book.

Multidimensional Scaling

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Author :
Publisher : Chapman and Hall/CRC
ISBN 13 : 9780412491207
Total Pages : 216 pages
Book Rating : 4.4/5 (912 download)

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Book Synopsis Multidimensional Scaling by : Trevor F. Cox

Download or read book Multidimensional Scaling written by Trevor F. Cox and published by Chapman and Hall/CRC. This book was released on 1994-09-01 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional scaling is a branch of multivariate data analysis geared towards dimensional reduction and graphical representation of data. This book gives a concise account of multidimensional scaling, giving the theory and illustrations of the various techniques from a neutral standpoint. It includes chapters on classical scaling, nonmetric scaling, Procrustes analysis, correspondence analysis, unfolding, individual difference models and other m-mode, n-way models. Included with the book is a diskette containing computer programs which will give the reader the opportunity to try out some of the scaling techniques. This is useful in helping to understand the theory behind the models and also enables the reader to see the techniques actually work in practice.

Elements of Applied Bifurcation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739788
Total Pages : 648 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Elements of Applied Bifurcation Theory by : Yuri Kuznetsov

Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Multidimensional Scaling, Second Edition

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Author :
Publisher : CRC Press
ISBN 13 : 9781420036121
Total Pages : 332 pages
Book Rating : 4.0/5 (361 download)

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Book Synopsis Multidimensional Scaling, Second Edition by : Trevor F. Cox

Download or read book Multidimensional Scaling, Second Edition written by Trevor F. Cox and published by CRC Press. This book was released on 2000-09-28 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multidimensional scaling covers a variety of statistical techniques in the area of multivariate data analysis. Geared toward dimensional reduction and graphical representation of data, it arose within the field of the behavioral sciences, but now holds techniques widely used in many disciplines. Multidimensional Scaling, Second Edition extends the popular first edition and brings it up to date. It concisely but comprehensively covers the area, summarizing the mathematical ideas behind the various techniques and illustrating the techniques with real-life examples. A computer disk containing programs and data sets accompanies the book.

Methods for the Analysis of Asymmetric Proximity Data

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Publisher : Springer Nature
ISBN 13 : 9811631727
Total Pages : 203 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Methods for the Analysis of Asymmetric Proximity Data by : Giuseppe Bove

Download or read book Methods for the Analysis of Asymmetric Proximity Data written by Giuseppe Bove and published by Springer Nature. This book was released on 2021-08-14 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction and practical guidelines to apply asymmetric multidimensional scaling, cluster analysis, and related methods to asymmetric one-mode two-way and three-way asymmetric data. A major objective of this book is to present to applied researchers a set of methods and algorithms for graphical representation and clustering of asymmetric relationships. Data frequently concern measurements of asymmetric relationships between pairs of objects from a given set (e.g., subjects, variables, attributes,...), collected in one or more matrices. Examples abound in many different fields such as psychology, sociology, marketing research, and linguistics and more recently several applications have appeared in technological areas including cybernetics, air traffic control, robotics, and network analysis. The capabilities of the presented algorithms are illustrated by carefully chosen examples and supported by extensive data analyses. A review of the specialized statistical software available for the applications is also provided. This monograph is highly recommended to readers who need a complete and up-to-date reference on methods for asymmetric proximity data analysis.

Modern Psychometrics with R

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Publisher : Springer
ISBN 13 : 3319931776
Total Pages : 458 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Modern Psychometrics with R by : Patrick Mair

Download or read book Modern Psychometrics with R written by Patrick Mair and published by Springer. This book was released on 2018-09-20 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook describes the broadening methodology spectrum of psychological measurement in order to meet the statistical needs of a modern psychologist. The way statistics is used, and maybe even perceived, in psychology has drastically changed over the last few years; computationally as well as methodologically. R has taken the field of psychology by storm, to the point that it can now safely be considered the lingua franca for statistical data analysis in psychology. The goal of this book is to give the reader a starting point when analyzing data using a particular method, including advanced versions, and to hopefully motivate him or her to delve deeper into additional literature on the method. Beginning with one of the oldest psychometric model formulations, the true score model, Mair devotes the early chapters to exploring confirmatory factor analysis, modern test theory, and a sequence of multivariate exploratory method. Subsequent chapters present special techniques useful for modern psychological applications including correlation networks, sophisticated parametric clustering techniques, longitudinal measurements on a single participant, and functional magnetic resonance imaging (fMRI) data. In addition to using real-life data sets to demonstrate each method, the book also reports each method in three parts-- first describing when and why to apply it, then how to compute the method in R, and finally how to present, visualize, and interpret the results. Requiring a basic knowledge of statistical methods and R software, but written in a casual tone, this text is ideal for graduate students in psychology. Relevant courses include methods of scaling, latent variable modeling, psychometrics for graduate students in Psychology, and multivariate methods in the social sciences.

Data Analysis and Applications 3

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Publisher : John Wiley & Sons
ISBN 13 : 1786305348
Total Pages : 262 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Data Analysis and Applications 3 by : Andreas Makrides

Download or read book Data Analysis and Applications 3 written by Andreas Makrides and published by John Wiley & Sons. This book was released on 2020-06-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data analysis as an area of importance has grown exponentially, especially during the past couple of decades. This can be attributed to a rapidly growing computer industry and the wide applicability of computational techniques, in conjunction with new advances of analytic tools. This being the case, the need for literature that addresses this is self-evident. New publications are appearing, covering the need for information from all fields of science and engineering, thanks to the universal relevance of data analysis and statistics packages. This book is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians who have been working at the forefront of data analysis. The chapters included in this volume represent a cross-section of current concerns and research interests in these scientific areas. The material is divided into two parts: Computational Data Analysis, and Classification Data Analysis, with methods for both - providing the reader with both theoretical and applied information on data analysis methods, models and techniques and appropriate applications.

Analyzing Spatial Models of Choice and Judgment

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Publisher : CRC Press
ISBN 13 : 1351770497
Total Pages : 347 pages
Book Rating : 4.3/5 (517 download)

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Book Synopsis Analyzing Spatial Models of Choice and Judgment by : David A. Armstrong

Download or read book Analyzing Spatial Models of Choice and Judgment written by David A. Armstrong and published by CRC Press. This book was released on 2020-11-17 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: With recent advances in computing power and the widespread availability of preference, perception and choice data, such as public opinion surveys and legislative voting, the empirical estimation of spatial models using scaling and ideal point estimation methods has never been more accessible.The second edition of Analyzing Spatial Models of Choice and Judgment demonstrates how to estimate and interpret spatial models with a variety of methods using the open-source programming language R. Requiring only basic knowledge of R, the book enables social science researchers to apply the methods to their own data. Also suitable for experienced methodologists, it presents the latest methods for modeling the distances between points. The authors explain the basic theory behind empirical spatial models, then illustrate the estimation technique behind implementing each method, exploring the advantages and limitations while providing visualizations to understand the results. This second edition updates and expands the methods and software discussed in the first edition, including new coverage of methods for ordinal data and anchoring vignettes in surveys, as well as an entire chapter dedicated to Bayesian methods. The second edition is made easier to use by the inclusion of an R package, which provides all data and functions used in the book. David A. Armstrong II is Canada Research Chair in Political Methodology and Associate Professor of Political Science at Western University. His research interests include measurement, Democracy and state repressive action. Ryan Bakker is Reader in Comparative Politics at the University of Essex. His research interests include applied Bayesian modeling, measurement, Western European politics, and EU politics. Royce Carroll is Professor in Comparative Politics at the University of Essex. His research focuses on measurement of ideology and the comparative politics of legislatures and political parties. Christopher Hare is Assistant Professor in Political Science at the University of California, Davis. His research focuses on ideology and voting behavior in US politics, political polarization, and measurement. Keith T. Poole is Philip H. Alston Jr. Distinguished Professor of Political Science at the University of Georgia. His research interests include methodology, US political-economic history, economic growth and entrepreneurship. Howard Rosenthal is Professor of Politics at NYU and Roger Williams Straus Professor of Social Sciences, Emeritus, at Princeton. Rosenthal’s research focuses on political economy, American politics and methodology.

Multivariate Data Analysis on Matrix Manifolds

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Author :
Publisher : Springer Nature
ISBN 13 : 3030769747
Total Pages : 467 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Multivariate Data Analysis on Matrix Manifolds by : Nickolay Trendafilov

Download or read book Multivariate Data Analysis on Matrix Manifolds written by Nickolay Trendafilov and published by Springer Nature. This book was released on 2021-09-15 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA problems as optimization problems on matrix manifolds defined by the MDA model parameters, allowing them to be solved using (free) optimization software Manopt. The book includes numerous in-text examples as well as Manopt codes and software guides, which can be applied directly or used as templates for solving similar and new problems. The first two chapters provide an overview and essential background for studying MDA, giving basic information and notations. Next, it considers several sets of matrices routinely used in MDA as parameter spaces, along with their basic topological properties. A brief introduction to matrix (Riemannian) manifolds and optimization methods on them with Manopt complete the MDA prerequisite. The remaining chapters study individual MDA techniques in depth. The number of exercises complement the main text with additional information and occasionally involve open and/or challenging research questions. Suitable fields include computational statistics, data analysis, data mining and data science, as well as theoretical computer science, machine learning and optimization. It is assumed that the readers have some familiarity with MDA and some experience with matrix analysis, computing, and optimization.