Statistical Analysis Of Observations Of Increasing Dimension

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Introduction to High-Dimensional Statistics

Author : Christophe Giraud
Publisher : CRC Press
ISBN 13 : 1000408353
Total Pages : 410 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Introduction to High-Dimensional Statistics by : Christophe Giraud

Download or read book Introduction to High-Dimensional Statistics written by Christophe Giraud and published by CRC Press. This book was released on 2021-08-25 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the first edition: "[This book] succeeds singularly at providing a structured introduction to this active field of research. ... it is arguably the most accessible overview yet published of the mathematical ideas and principles that one needs to master to enter the field of high-dimensional statistics. ... recommended to anyone interested in the main results of current research in high-dimensional statistics as well as anyone interested in acquiring the core mathematical skills to enter this area of research." —Journal of the American Statistical Association Introduction to High-Dimensional Statistics, Second Edition preserves the philosophy of the first edition: to be a concise guide for students and researchers discovering the area and interested in the mathematics involved. The main concepts and ideas are presented in simple settings, avoiding thereby unessential technicalities. High-dimensional statistics is a fast-evolving field, and much progress has been made on a large variety of topics, providing new insights and methods. Offering a succinct presentation of the mathematical foundations of high-dimensional statistics, this new edition: Offers revised chapters from the previous edition, with the inclusion of many additional materials on some important topics, including compress sensing, estimation with convex constraints, the slope estimator, simultaneously low-rank and row-sparse linear regression, or aggregation of a continuous set of estimators. Introduces three new chapters on iterative algorithms, clustering, and minimax lower bounds. Provides enhanced appendices, minimax lower-bounds mainly with the addition of the Davis-Kahan perturbation bound and of two simple versions of the Hanson-Wright concentration inequality. Covers cutting-edge statistical methods including model selection, sparsity and the Lasso, iterative hard thresholding, aggregation, support vector machines, and learning theory. Provides detailed exercises at the end of every chapter with collaborative solutions on a wiki site. Illustrates concepts with simple but clear practical examples.

Statistical Analysis for High-Dimensional Data

Author : Arnoldo Frigessi
Publisher : Springer
ISBN 13 : 3319270990
Total Pages : 313 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Statistical Analysis for High-Dimensional Data by : Arnoldo Frigessi

Download or read book Statistical Analysis for High-Dimensional Data written by Arnoldo Frigessi and published by Springer. This book was released on 2016-02-16 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features research contributions from The Abel Symposium on Statistical Analysis for High Dimensional Data, held in Nyvågar, Lofoten, Norway, in May 2014. The focus of the symposium was on statistical and machine learning methodologies specifically developed for inference in “big data” situations, with particular reference to genomic applications. The contributors, who are among the most prominent researchers on the theory of statistics for high dimensional inference, present new theories and methods, as well as challenging applications and computational solutions. Specific themes include, among others, variable selection and screening, penalised regression, sparsity, thresholding, low dimensional structures, computational challenges, non-convex situations, learning graphical models, sparse covariance and precision matrices, semi- and non-parametric formulations, multiple testing, classification, factor models, clustering, and preselection. Highlighting cutting-edge research and casting light on future research directions, the contributions will benefit graduate students and researchers in computational biology, statistics and the machine learning community.

An Introduction to Statistical Analysis of Random Arrays

Author : V. L. Girko
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110916681
Total Pages : 700 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis An Introduction to Statistical Analysis of Random Arrays by : V. L. Girko

Download or read book An Introduction to Statistical Analysis of Random Arrays written by V. L. Girko and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "An Introduction to Statistical Analysis of Random Arrays".

Data-Driven Fault Detection and Reasoning for Industrial Monitoring

Author : Jing Wang
Publisher : Springer Nature
ISBN 13 : 9811680442
Total Pages : 277 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Data-Driven Fault Detection and Reasoning for Industrial Monitoring by : Jing Wang

Download or read book Data-Driven Fault Detection and Reasoning for Industrial Monitoring written by Jing Wang and published by Springer Nature. This book was released on 2022-01-03 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book assesses the potential of data-driven methods in industrial process monitoring engineering. The process modeling, fault detection, classification, isolation, and reasoning are studied in detail. These methods can be used to improve the safety and reliability of industrial processes. Fault diagnosis, including fault detection and reasoning, has attracted engineers and scientists from various fields such as control, machinery, mathematics, and automation engineering. Combining the diagnosis algorithms and application cases, this book establishes a basic framework for this topic and implements various statistical analysis methods for process monitoring. This book is intended for senior undergraduate and graduate students who are interested in fault diagnosis technology, researchers investigating automation and industrial security, professional practitioners and engineers working on engineering modeling and data processing applications. This is an open access book.

Longitudinal Data Analysis

Author : Garrett Fitzmaurice
Publisher : CRC Press
ISBN 13 : 142001157X
Total Pages : 633 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Longitudinal Data Analysis by : Garrett Fitzmaurice

Download or read book Longitudinal Data Analysis written by Garrett Fitzmaurice and published by CRC Press. This book was released on 2008-08-11 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory

Data Quality and High-dimensional Data Analysis

Author : Chee-Yong Chan
Publisher : World Scientific
ISBN 13 : 981427349X
Total Pages : 117 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Data Quality and High-dimensional Data Analysis by : Chee-Yong Chan

Download or read book Data Quality and High-dimensional Data Analysis written by Chee-Yong Chan and published by World Scientific. This book was released on 2009 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poor data quality is known to compromise the credibility and efficiency of commercial and public endeavours. Also, the importance of managing data quality has increased manifold as the diversity of sources, formats and volume of data grows. This volume targets the data quality in the light of collaborative information systems where data creation and ownership is increasingly difficult to establish.

Multivariate Statistical Analysis

Author : V.I. Serdobolskii
Publisher : Springer Science & Business Media
ISBN 13 : 9401594686
Total Pages : 257 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Multivariate Statistical Analysis by : V.I. Serdobolskii

Download or read book Multivariate Statistical Analysis written by V.I. Serdobolskii and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Statistical Analysis

Computational Intelligent Data Analysis for Sustainable Development

Author : Ting Yu
Publisher : CRC Press
ISBN 13 : 1439895953
Total Pages : 443 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Computational Intelligent Data Analysis for Sustainable Development by : Ting Yu

Download or read book Computational Intelligent Data Analysis for Sustainable Development written by Ting Yu and published by CRC Press. This book was released on 2016-04-19 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Going beyond performing simple analyses, researchers involved in the highly dynamic field of computational intelligent data analysis design algorithms that solve increasingly complex data problems in changing environments, including economic, environmental, and social data. Computational Intelligent Data Analysis for Sustainable Development present

Multidimensional Statistical Analysis and Theory of Random Matrices

Author : A. K. Gupta
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311091669X
Total Pages : 400 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Multidimensional Statistical Analysis and Theory of Random Matrices by : A. K. Gupta

Download or read book Multidimensional Statistical Analysis and Theory of Random Matrices written by A. K. Gupta and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers from the Sixth Eugene Lukacs Symposium on ''Multidimensional Statistical Analysis and Random Matrices'', which was held at the Bowling Green State University, Ohio, USA, 29--30 March 1996. Multidimensional statistical analysis and random matrices have been the topics of great research. The papers presented in this volume discuss many varied aspects of this all-encompassing topic. In particular, topics covered include generalized statistical analysis, elliptically contoured distribution, covariance structure analysis, metric scaling, detection of outliers, density approximation, and circulant and band random matrices.

Analysis of Multivariate and High-Dimensional Data

Author : Inge Koch
Publisher : Cambridge University Press
ISBN 13 : 0521887933
Total Pages : 531 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Analysis of Multivariate and High-Dimensional Data by : Inge Koch

Download or read book Analysis of Multivariate and High-Dimensional Data written by Inge Koch and published by Cambridge University Press. This book was released on 2014 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern approach integrates classical and contemporary methods, fusing theory and practice and bridging the gap to statistical learning.

Data Analysis for the Life Sciences with R

Author : Rafael A. Irizarry
Publisher : CRC Press
ISBN 13 : 1498775861
Total Pages : 537 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Data Analysis for the Life Sciences with R by : Rafael A. Irizarry

Download or read book Data Analysis for the Life Sciences with R written by Rafael A. Irizarry and published by CRC Press. This book was released on 2016-10-04 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers several of the statistical concepts and data analytic skills needed to succeed in data-driven life science research. The authors proceed from relatively basic concepts related to computed p-values to advanced topics related to analyzing highthroughput data. They include the R code that performs this analysis and connect the lines of code to the statistical and mathematical concepts explained.

Applied Compositional Data Analysis

Author : Peter Filzmoser
Publisher : Springer
ISBN 13 : 3319964224
Total Pages : 288 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Applied Compositional Data Analysis by : Peter Filzmoser

Download or read book Applied Compositional Data Analysis written by Peter Filzmoser and published by Springer. This book was released on 2018-11-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the statistical analysis of compositional data using the log-ratio approach. It includes a wide range of classical and robust statistical methods adapted for compositional data analysis, such as supervised and unsupervised methods like PCA, correlation analysis, classification and regression. In addition, it considers special data structures like high-dimensional compositions and compositional tables. The methodology introduced is also frequently compared to methods which ignore the specific nature of compositional data. It focuses on practical aspects of compositional data analysis rather than on detailed theoretical derivations, thus issues like graphical visualization and preprocessing (treatment of missing values, zeros, outliers and similar artifacts) form an important part of the book. Since it is primarily intended for researchers and students from applied fields like geochemistry, chemometrics, biology and natural sciences, economics, and social sciences, all the proposed methods are accompanied by worked-out examples in R using the package robCompositions.

Statistical Inference from High Dimensional Data

Author : Carlos Fernandez-Lozano
Publisher : MDPI
ISBN 13 : 3036509445
Total Pages : 314 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Statistical Inference from High Dimensional Data by : Carlos Fernandez-Lozano

Download or read book Statistical Inference from High Dimensional Data written by Carlos Fernandez-Lozano and published by MDPI. This book was released on 2021-04-28 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: • Real-world problems can be high-dimensional, complex, and noisy • More data does not imply more information • Different approaches deal with the so-called curse of dimensionality to reduce irrelevant information • A process with multidimensional information is not necessarily easy to interpret nor process • In some real-world applications, the number of elements of a class is clearly lower than the other. The models tend to assume that the importance of the analysis belongs to the majority class and this is not usually the truth • The analysis of complex diseases such as cancer are focused on more-than-one dimensional omic data • The increasing amount of data thanks to the reduction of cost of the high-throughput experiments opens up a new era for integrative data-driven approaches • Entropy-based approaches are of interest to reduce the dimensionality of high-dimensional data

Robust Adaptive Beamforming

Author : Jian Li
Publisher : John Wiley & Sons
ISBN 13 : 0471733466
Total Pages : 422 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Robust Adaptive Beamforming by : Jian Li

Download or read book Robust Adaptive Beamforming written by Jian Li and published by John Wiley & Sons. This book was released on 2005-10-10 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest research and developments in robust adaptivebeamforming Recent work has made great strides toward devising robust adaptivebeamformers that vastly improve signal strength against backgroundnoise and directional interference. This dynamic technology hasdiverse applications, including radar, sonar, acoustics, astronomy,seismology, communications, and medical imaging. There are alsoexciting emerging applications such as smart antennas for wirelesscommunications, handheld ultrasound imaging systems, anddirectional hearing aids. Robust Adaptive Beamforming compiles the theories and work ofleading researchers investigating various approaches in onecomprehensive volume. Unlike previous efforts, these pioneeringstudies are based on theories that use an uncertainty set of thearray steering vector. The researchers define their theories,explain their methodologies, and present their conclusions. Methodspresented include: * Coupling the standard Capon beamformers with a spherical orellipsoidal uncertainty set of the array steering vector * Diagonal loading for finite sample size beamforming * Mean-squared error beamforming for signal estimation * Constant modulus beamforming * Robust wideband beamforming using a steered adaptive beamformerto adapt the weight vector within a generalized sidelobe cancellerformulation Robust Adaptive Beamforming provides a truly up-to-date resourceand reference for engineers, researchers, and graduate students inthis promising, rapidly expanding field.

Clustering High--Dimensional Data

Author : Francesco Masulli
Publisher : Springer
ISBN 13 : 366248577X
Total Pages : 157 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Clustering High--Dimensional Data by : Francesco Masulli

Download or read book Clustering High--Dimensional Data written by Francesco Masulli and published by Springer. This book was released on 2015-11-24 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Workshop on Clustering High-Dimensional Data, CHDD 2012, held in Naples, Italy, in May 2012. The 9 papers presented in this volume were carefully reviewed and selected from 15 submissions. They deal with the general subject and issues of high-dimensional data clustering; present examples of techniques used to find and investigate clusters in high dimensionality; and the most common approach to tackle dimensionality problems, namely, dimensionality reduction and its application in clustering.

Large Sample Covariance Matrices and High-Dimensional Data Analysis

Author : Jianfeng Yao
Publisher : Cambridge University Press
ISBN 13 : 9781107065178
Total Pages : 0 pages
Book Rating : 4.0/5 (651 download)

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Book Synopsis Large Sample Covariance Matrices and High-Dimensional Data Analysis by : Jianfeng Yao

Download or read book Large Sample Covariance Matrices and High-Dimensional Data Analysis written by Jianfeng Yao and published by Cambridge University Press. This book was released on 2015-03-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-dimensional data appear in many fields, and their analysis has become increasingly important in modern statistics. However, it has long been observed that several well-known methods in multivariate analysis become inefficient, or even misleading, when the data dimension p is larger than, say, several tens. A seminal example is the well-known inefficiency of Hotelling's T2-test in such cases. This example shows that classical large sample limits may no longer hold for high-dimensional data; statisticians must seek new limiting theorems in these instances. Thus, the theory of random matrices (RMT) serves as a much-needed and welcome alternative framework. Based on the authors' own research, this book provides a first-hand introduction to new high-dimensional statistical methods derived from RMT. The book begins with a detailed introduction to useful tools from RMT, and then presents a series of high-dimensional problems with solutions provided by RMT methods.

Statistical Learning and Pattern Analysis for Image and Video Processing

Author : Nanning Zheng
Publisher : Springer Science & Business Media
ISBN 13 : 1848823126
Total Pages : 371 pages
Book Rating : 4.8/5 (488 download)

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Book Synopsis Statistical Learning and Pattern Analysis for Image and Video Processing by : Nanning Zheng

Download or read book Statistical Learning and Pattern Analysis for Image and Video Processing written by Nanning Zheng and published by Springer Science & Business Media. This book was released on 2009-07-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are We Writing This Book? Visual data (graphical, image, video, and visualized data) affect every aspect of modern society. The cheap collection, storage, and transmission of vast amounts of visual data have revolutionized the practice of science, technology, and business. Innovations from various disciplines have been developed and applied to the task of designing intelligent machines that can automatically detect and exploit useful regularities (patterns) in visual data. One such approach to machine intelligence is statistical learning and pattern analysis for visual data. Over the past two decades, rapid advances have been made throughout the ?eld of visual pattern analysis. Some fundamental problems, including perceptual gro- ing,imagesegmentation, stereomatching, objectdetectionandrecognition,and- tion analysis and visual tracking, have become hot research topics and test beds in multiple areas of specialization, including mathematics, neuron-biometry, and c- nition. A great diversity of models and algorithms stemming from these disciplines has been proposed. To address the issues of ill-posed problems and uncertainties in visual pattern modeling and computing, researchers have developed rich toolkits based on pattern analysis theory, harmonic analysis and partial differential eq- tions, geometry and group theory, graph matching, and graph grammars. Among these technologies involved in intelligent visual information processing, statistical learning and pattern analysis is undoubtedly the most popular and imp- tant approach, and it is also one of the most rapidly developing ?elds, with many achievements in recent years. Above all, it provides a unifying theoretical fra- work for intelligent visual information processing applications.