Bilinear And Trilinear Regression Models With Structured Covariance Matrices
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Bilinear And Trilinear Regression Models With Structured Covariance Matrices
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Author : Joseph Nzabanita
language : en
Publisher: Linköping University Electronic Press
Release Date : 2015-05-21
Bilinear And Trilinear Regression Models With Structured Covariance Matrices written by Joseph Nzabanita and has been published by Linköping University Electronic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-21 with Matrices categories.
This thesis focuses on the problem of estimating parameters in bilinear and trilinear regression models in which random errors are normally distributed. In these models the covariance matrix has a Kronecker product structure and some factor matrices may be linearly structured. The interest of considering various structures for the covariance matrices in different statistical models is partly driven by the idea that altering the covariance structure of a parametric model alters the variances of the model’s estimated mean parameters. Firstly, the extended growth curve model with a linearly structured covariance matrix is considered. The main theme is to find explicit estimators for the mean and for the linearly structured covariance matrix. We show how to decompose the residual space, the orthogonal complement to the mean space, into appropriate orthogonal subspaces and how to derive explicit estimators of the covariance matrix from the sum of squared residuals obtained by projecting observations on those subspaces. Also an explicit estimator of the mean is derived and some properties of the proposed estimators are studied. Secondly, we study a bilinear regression model with matrix normally distributed random errors. For those models, the dispersion matrix follows a Kronecker product structure and it can be used, for example, to model data with spatio-temporal relationships. The aim is to estimate the parameters of the model when, in addition, one covariance matrix is assumed to be linearly structured. On the basis of n independent observations from a matrix normal distribution, estimating equations, a flip-flop relation, are established. At last, the models based on normally distributed random third order tensors are studied. These models are useful in analyzing 3-dimensional data arrays. In some studies the analysis is done using the tensor normal model, where the focus is on the estimation of the variance-covariance matrix which has a Kronecker structure. Little attention is paid to the structure of the mean, however, there is a potential to improve the analysis by assuming a structured mean. We formally introduce a 2-fold growth curve model by assuming a trilinear structure for the mean in the tensor normal model and propose an estimation algorithm for parameters. Also some extensions are discussed.
Design Of Video Quality Metrics With Multi Way Data Analysis
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Author : Christian Keimel
language : en
Publisher: Springer
Release Date : 2015-12-29
Design Of Video Quality Metrics With Multi Way Data Analysis written by Christian Keimel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-29 with Technology & Engineering categories.
This book proposes a data-driven methodology using multi-way data analysis for the design of video-quality metrics. It also enables video- quality metrics to be created using arbitrary features. This data- driven design approach not only requires no detailed knowledge of the human visual system, but also allows a proper consideration of the temporal nature of video using a three-way prediction model, corresponding to the three-way structure of video. Using two simple example metrics, the author demonstrates not only that this purely data- driven approach outperforms state-of-the-art video-quality metrics, which are often optimized for specific properties of the human visual system, but also that multi-way data analysis methods outperform the combination of two-way data analysis methods and temporal pooling.
Comprehensive Chemometrics
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Author :
language : en
Publisher: Elsevier
Release Date : 2009-03-09
Comprehensive Chemometrics written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-09 with Science categories.
Designed to serve as the first point of reference on the subject, Comprehensive Chemometrics presents an integrated summary of the present state of chemical and biochemical data analysis and manipulation. The work covers all major areas ranging from statistics to data acquisition, analysis, and applications. This major reference work provides broad-ranging, validated summaries of the major topics in chemometrics—with chapter introductions and advanced reviews for each area. The level of material is appropriate for graduate students as well as active researchers seeking a ready reference on obtaining and analyzing scientific data. Features the contributions of leading experts from 21 countries, under the guidance of the Editors-in-Chief and a team of specialist Section Editors: L. Buydens; D. Coomans; P. Van Espen; A. De Juan; J.H. Kalivas; B.K. Lavine; R. Leardi; R. Phan-Tan-Luu; L.A. Sarabia; and J. Trygg Examines the merits and limitations of each technique through practical examples and extensive visuals: 368 tables and more than 1,300 illustrations (750 in full color) Integrates coverage of chemical and biological methods, allowing readers to consider and test a range of techniques Consists of 2,200 pages and more than 90 review articles, making it the most comprehensive work of its kind Offers print and online purchase options, the latter of which delivers flexibility, accessibility, and usability through the search tools and other productivity-enhancing features of ScienceDirect
Computer Vision Eccv 2014
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Author : David Fleet
language : en
Publisher: Springer
Release Date : 2014-08-14
Computer Vision Eccv 2014 written by David Fleet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-14 with Computers categories.
The seven-volume set comprising LNCS volumes 8689-8695 constitutes the refereed proceedings of the 13th European Conference on Computer Vision, ECCV 2014, held in Zurich, Switzerland, in September 2014. The 363 revised papers presented were carefully reviewed and selected from 1444 submissions. The papers are organized in topical sections on tracking and activity recognition; recognition; learning and inference; structure from motion and feature matching; computational photography and low-level vision; vision; segmentation and saliency; context and 3D scenes; motion and 3D scene analysis; and poster sessions.
The Handbook Of Organic Compounds Three Volume Set
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Author : Jerry Workman Jr.
language : en
Publisher: Elsevier
Release Date : 2000-10-18
The Handbook Of Organic Compounds Three Volume Set written by Jerry Workman Jr. and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-10-18 with Science categories.
The Handbook of Organic Compounds: NIR, IR, Raman, and UV-Vis Spectra Featuring Polymers and Surfactants represents a compendium of practical spectroscopic methodology, comprehensive reviews, and basic information for organic materials, surfactants, and polymer spectra covering the Ultraviolet, Visible, Near Infrared, Infrared, Raman and Dielectric measurement techniques. This set represents a complementary organic compound handbook to the Nyquist inorganic handbook, published in 1996. This set comprises the first comprehensive multi-volume handbook to provide basic coverage for UV-Vis, 4th overtone NIR, 3rd overtone NIR, NIR, Infrared, Raman spectra, and Dielectric data for common organic compounds, polymers, surfactants, contaminants, and inorganic materials commonly encountered in the laboratory. The text includes a description and reviews of interpretive and chemometric techniques used for spectral data analysis. The spectra included within the atlas are useful for identification purposes as well as pedagogical for the instruction of the various interpretive and data processing methods discussed. This work is designed to be of help to students and vibrational spectroscopists in their efforts of daily spectral interpretation and data processing of organic spectra, polymers, and surfactants. All spectra are presented in wavenumber and transmittance, with the addition of ultraviolet, visible, 4th overtone NIR, 3rd overtone NIR, and NIR spectra also represented in nanometers and absorbance space. In addition, some Horizontal infrared ATR spectra are presented in wavenumber and absorbance space. All spectra are shown with essential peaks labeled in their respective units. The material in this handbook was contributed to by several individuals, and comments were received from a variety of prominent workers in the field of molecular spectroscopy. This type of handbookproject is a daunting task. This Handbook can provide a valuable reference for the daily activities of students and professionals working in modern molecular spectroscopy laboratories. * Indices for UV-Vis, fourth overtone NIR, third overtone NIR, NIR, IR, raman, and dielectric spectra* Unique detailed correlation charts for each of these spectral regions* Indices of spectra by alphabetical order, chemical class, and chemical formula* Cross referencing of common compounds for all spectral regions * Literature reviews of historical and most useful references in the field* Research oriented for those using molecular spectroscopy on a routine basis for interpretation, qualitative and quantitative analysis * An emphasis on near infrared and infrared spectral regions
Inis Atomindeks
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Author :
language : en
Publisher:
Release Date : 1982
Inis Atomindeks written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Nuclear energy categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1991
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aeronautics categories.
Journal Of The Engineering Mechanics Division
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Author : American Society of Civil Engineers. Engineering Mechanics Division
language : en
Publisher:
Release Date : 1981
Journal Of The Engineering Mechanics Division written by American Society of Civil Engineers. Engineering Mechanics Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mechanics, Applied categories.
European Symposium On Computer Aided Process Engineering 14
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Author : Ana Paula Barbosa-Póvoa
language : en
Publisher: Elsevier
Release Date : 2004-05-14
European Symposium On Computer Aided Process Engineering 14 written by Ana Paula Barbosa-Póvoa and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-14 with Technology & Engineering categories.
This book contains papers presented at the 14th European Symposium on Computer Aided Process Engineering (ESCAPE-14). The ESCAPE symposia bring together scientists, students and engineers from academia and industry, who are active in the research and application of Computer Aided Process Engineering.The objective of ESCAPE-14 is to highlight the use of computers and information technology tools on five specific themes: 1. Product and Process Design, 2. Synthesis and Process Integration, 3. Process Control and Analysis, 4. Manufacturing & Process Operations, 5. New Challenges in CAPE.- Provides this year's comprehensive overview of the current state of affairs in the CAPE community- Contains reports from the frontiers of science by the field's most respected scientists - Special Keynote by Professor Roger Sargent, Long Term Achievement CAPE Award winner
Statistical Theory And Method Abstracts
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Author :
language : en
Publisher:
Release Date : 2001
Statistical Theory And Method Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Statistics categories.