L1 Norm And L Norm Estimation

Author : Richard Farebrother
Publisher : Springer Science & Business Media
ISBN 13 : 3642363008
Total Pages : 59 pages
Book Rating : 4.09/5 ( download)

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Download or read book L1-Norm and L∞-Norm Estimation written by Richard Farebrother and published by Springer Science & Business Media. This book was released on 2013-04-03 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the fitting of linear relationships in the context of the linear statistical model. As alternatives to the familiar least squared residuals procedure, it investigates the relationships between the least absolute residuals, the minimax absolute residual and the least median of squared residuals procedures. It is intended for graduate students and research workers in statistics with some command of matrix analysis and linear programming techniques.​

Author : Yadolah Dodge
Publisher : Birkhäuser
ISBN 13 : 3034882017
Total Pages : 447 pages
Book Rating : 4.19/5 ( download)

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Download or read book Statistical Data Analysis Based on the L1-Norm and Related Methods written by Yadolah Dodge and published by Birkhäuser. This book was released on 2012-12-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchâtel, Switzerland, from August 4–9, 2002. The contributions represent clear evidence to the importance of the development of theory, methods and applications related to the statistical data analysis based on the L1-norm.

Author : Rene Gonin
Publisher : Routledge
ISBN 13 : 1351428179
Total Pages : 207 pages
Book Rating : 4.70/5 ( download)

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Download or read book Nonlinear Lp-Norm Estimation written by Rene Gonin and published by Routledge. This book was released on 2017-10-02 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complete with valuable FORTRAN programs that help solve nondifferentiable nonlinear LtandLo.-norm estimation problems, this important reference/text extensively delineates ahistory of Lp-norm estimation. It examines the nonlinear Lp-norm estimation problem that isa viable alternative to least squares estimation problems where the underlying errordistribution is nonnormal, i.e., non-Gaussian.Nonlinear LrNorm Estimation addresses both computational and statistical aspects ofLp-norm estimation problems to bridge the gap between these two fields . . . contains 70useful illustrations ... discusses linear Lp-norm as well as nonlinear Lt, Lo., and Lp-normestimation problems . . . provides all appropriate computational algorithms and FORTRANlistings for nonlinear Lt- and Lo.-norm estimation problems . . . guides readers with clear endof-chapter notes on related topics and outstanding research publications . . . contains numericalexamples plus several practical problems .. . and shows how the data can prescribe variousapplications of Lp-norm alternatives.Nonlinear Lp-Norm Estimation is an indispensable reference for statisticians,operations researchers, numerical analysts, applied mathematicians, biometricians, andcomputer scientists, as well as a text for graduate students in statistics or computer science.

Author : Yadolah Dodge
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369200
Total Pages : 478 pages
Book Rating : 4.05/5 ( download)

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Download or read book Statistical Data Analysis Based on the L B1 S-norm and Related Methods written by Yadolah Dodge and published by Springer Science & Business Media. This book was released on 2002 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a selection of invited papers, presented to the fourth International Conference on Statistical Data Analysis Based on the L1-Norm and Related Methods, held in Neuchâtel, Switzerland, from August 4–9, 2002. The contributions represent a clear evidence to the importance of development of theory, methods and applications related to the statistical data analysis based on the L1-norm.

Author : Francis Bach
Publisher :
ISBN 13 : 9781601985101
Total Pages : 124 pages
Book Rating : 4.0X/5 ( download)

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Download or read book Optimization with Sparsity-Inducing Penalties written by Francis Bach and published by . This book was released on 2011-12-23 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel selection. It turns out that many of the related estimation problems can be cast as convex optimization problems by regularizing the empirical risk with appropriate nonsmooth norms. Optimization with Sparsity-Inducing Penalties presents optimization tools and techniques dedicated to such sparsity-inducing penalties from a general perspective. It covers proximal methods, block-coordinate descent, reweighted ?2-penalized techniques, working-set and homotopy methods, as well as non-convex formulations and extensions, and provides an extensive set of experiments to compare various algorithms from a computational point of view. The presentation of Optimization with Sparsity-Inducing Penalties is essentially based on existing literature, but the process of constructing a general framework leads naturally to new results, connections and points of view. It is an ideal reference on the topic for anyone working in machine learning and related areas.

Author : Jati Sengupta
Publisher : Springer Science & Business Media
ISBN 13 : 9401582025
Total Pages : 267 pages
Book Rating : 4.25/5 ( download)

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Download or read book Econometrics of Information and Efficiency written by Jati Sengupta and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Econometrics as an applied discipline attempts to use information in a most efficient manner, yet the information theory and entropy approach developed by Shannon and others has not played much of a role in applied econometrics. Econometrics of Information and Efficiency bridges the gap. Broadly viewed, information theory analyzes the uncertainty of a given set of data and its probabilistic characteristics. Whereas the economic theory of information emphasizes the value of information to agents in a market, the entropy theory stresses the various aspects of imprecision of data and their interactions with the subjective decision processes. The tools of information theory, such as the maximum entropy principle, mutual information and the minimum discrepancy are useful in several areas of statistical inference, e.g., Bayesian estimation, expected maximum likelihood principle, the fuzzy statistical regression. This volume analyzes the applications of these tools of information theory to the most commonly used models in econometrics. The outstanding features of Econometrics of Information and Efficiency are: A critical survey of the uses of information theory in economics and econometrics; An integration of applied information theory and economic efficiency analysis; The development of a new economic hypothesis relating information theory to economic growth models; New lines of research are emphasized.

Author : Xuebo Zhang
Publisher : Frontiers Media SA
ISBN 13 : 2832528740
Total Pages : 281 pages
Book Rating : 4.47/5 ( download)

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Download or read book Ocean observation based on underwater acoustic technology written by Xuebo Zhang and published by Frontiers Media SA. This book was released on 2023-07-04 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Donald L. Schomer
Publisher : Oxford University Press
ISBN 13 : 0190228482
Total Pages : 1265 pages
Book Rating : 4.84/5 ( download)

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Download or read book Niedermeyer's Electroencephalography written by Donald L. Schomer and published by Oxford University Press. This book was released on 2018 with total page 1265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Niedermeyer's Electroencephalography: Basic Principles, Clinical Applications, and Related Fields, Seventh Edition keeps the clinical neurophysiologist on the forefront of medical advancements. This authoritative text covers basic neurophysiology, neuroanatomy, and neuroimaging to provide a better understanding of clinical neurophysiological findings. This edition further delves into current state-of-the-art recording EEG activity both in the normal clinical environment and unique situations such as the intensive care unit, operating rooms, and epilepsy monitoring suites. As computer technology evolves, so does the integration of analytical methods that significantly affect the reader's interpretations of waveforms and trends that are occurring on long-term monitoring sessions. Compiled and edited by Donald L. Schomer and Fernando H. Lopes da Silva, along with a global team of experts, they collectively bring insight to crucial sections including basic principles of EEG and MEG, normal EEG, EEG in a clinical setting, clinical EEG in seizures and epilepsy, complementary and special techniques, event-related EEG phenomena, and shed light on the future of EEG and clinical neurophysiology. Akin to an encyclopedia of everything EEG, this comprehensive work is perfect for neurophysiology fellows, as well as neurology, neurosurgery, and general medical residents, and for the interns and medical students, and is a one-stop-shop for anyone training in EEG or preparing for neurophysiology or epilepsy board exams.

Author : Ya-xiang Yuan
Publisher : Springer Science & Business Media
ISBN 13 : 1461333350
Total Pages : 353 pages
Book Rating : 4.57/5 ( download)

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Download or read book Advances in Nonlinear Programming written by Ya-xiang Yuan and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: About 60 scientists and students attended the 96' International Conference on Nonlinear Programming, which was held September 2-5 at Institute of Compu tational Mathematics and Scientific/Engineering Computing (ICMSEC), Chi nese Academy of Sciences, Beijing, China. 25 participants were from outside China and 35 from China. The conference was to celebrate the 60's birthday of Professor M.J.D. Powell (Fellow of Royal Society, University of Cambridge) for his many contributions to nonlinear optimization. On behalf of the Chinese Academy of Sciences, vice president Professor Zhi hong Xu attended the opening ceremony of the conference to express his warm welcome to all the participants. After the opening ceremony, Professor M.J.D. Powell gave the keynote lecture "The use of band matrices for second derivative approximations in trust region methods". 13 other invited lectures on recent advances of nonlinear programming were given during the four day meeting: "Primal-dual methods for nonconvex optimization" by M. H. Wright (SIAM President, Bell Labs), "Interior point trajectories in semidefinite programming" by D. Goldfarb (Columbia University, Editor-in-Chief for Series A of Mathe matical Programming), "An approach to derivative free optimization" by A.

Author : Georgy L. Shevlyakov
Publisher : Walter de Gruyter
ISBN 13 : 3110936003
Total Pages : 325 pages
Book Rating : 4.01/5 ( download)

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Download or read book Robustness in Data Analysis written by Georgy L. Shevlyakov and published by Walter de Gruyter. This book was released on 2011-12-07 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.