Numerical Regularization For Atmospheric Inverse Problems

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Numerical Regularization for Atmospheric Inverse Problems

Author : Adrian Doicu
Publisher : Springer Science & Business Media
ISBN 13 : 3642054390
Total Pages : 426 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Numerical Regularization for Atmospheric Inverse Problems by : Adrian Doicu

Download or read book Numerical Regularization for Atmospheric Inverse Problems written by Adrian Doicu and published by Springer Science & Business Media. This book was released on 2010-07-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: The retrieval problems arising in atmospheric remote sensing belong to the class of the - called discrete ill-posed problems. These problems are unstable under data perturbations, and can be solved by numerical regularization methods, in which the solution is stabilized by taking additional information into account. The goal of this research monograph is to present and analyze numerical algorithms for atmospheric retrieval. The book is aimed at physicists and engineers with some ba- ground in numerical linear algebra and matrix computations. Although there are many practical details in this book, for a robust and ef?cient implementation of all numerical algorithms, the reader should consult the literature cited. The data model adopted in our analysis is semi-stochastic. From a practical point of view, there are no signi?cant differences between a semi-stochastic and a determin- tic framework; the differences are relevant from a theoretical point of view, e.g., in the convergence and convergence rates analysis. After an introductory chapter providing the state of the art in passive atmospheric remote sensing, Chapter 2 introduces the concept of ill-posedness for linear discrete eq- tions. To illustrate the dif?culties associated with the solution of discrete ill-posed pr- lems, we consider the temperature retrieval by nadir sounding and analyze the solvability of the discrete equation by using the singular value decomposition of the forward model matrix.

Optimization and Regularization for Computational Inverse Problems and Applications

Author : Yanfei Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3642137423
Total Pages : 400 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Optimization and Regularization for Computational Inverse Problems and Applications by : Yanfei Wang

Download or read book Optimization and Regularization for Computational Inverse Problems and Applications written by Yanfei Wang and published by Springer Science & Business Media. This book was released on 2011-06-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Optimization and Regularization for Computational Inverse Problems and Applications" focuses on advances in inversion theory and recent developments with practical applications, particularly emphasizing the combination of optimization and regularization for solving inverse problems. This book covers both the methods, including standard regularization theory, Fejer processes for linear and nonlinear problems, the balancing principle, extrapolated regularization, nonstandard regularization, nonlinear gradient method, the nonmonotone gradient method, subspace method and Lie group method; and the practical applications, such as the reconstruction problem for inverse scattering, molecular spectra data processing, quantitative remote sensing inversion, seismic inversion using the Lie group method, and the gravitational lensing problem. Scientists, researchers and engineers, as well as graduate students engaged in applied mathematics, engineering, geophysics, medical science, image processing, remote sensing and atmospheric science will benefit from this book. Dr. Yanfei Wang is a Professor at the Institute of Geology and Geophysics, Chinese Academy of Sciences, China. Dr. Sc. Anatoly G. Yagola is a Professor and Assistant Dean of the Physical Faculty, Lomonosov Moscow State University, Russia. Dr. Changchun Yang is a Professor and Vice Director of the Institute of Geology and Geophysics, Chinese Academy of Sciences, China.

Computational Methods for Inverse Problems

Author : Curtis R. Vogel
Publisher : SIAM
ISBN 13 : 0898717574
Total Pages : 195 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Computational Methods for Inverse Problems by : Curtis R. Vogel

Download or read book Computational Methods for Inverse Problems written by Curtis R. Vogel and published by SIAM. This book was released on 2002-01-01 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

Polarimetric Detection, Characterization and Remote Sensing

Author : Michael I. Mishchenko
Publisher : Springer
ISBN 13 : 9400716362
Total Pages : 550 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Polarimetric Detection, Characterization and Remote Sensing by : Michael I. Mishchenko

Download or read book Polarimetric Detection, Characterization and Remote Sensing written by Michael I. Mishchenko and published by Springer. This book was released on 2011-05-27 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the need for accurate and non-invasive optical characterization and diagnostic techniques is rapidly increasing, it is imperative to find improved ways of extracting the additional information contained within the measured parameters of the scattered light. This is the first specialized monograph on photopolarimetry, a rapidly developing, multidisciplinary topic with numerous military, ecological remote-sensing, astrophysical, biomedical, and technological applications. The main objective is to describe and discuss techniques developed in various disciplines to acquire useful information from the polarization signal of scattered electromagnetic waves. It focuses on the state-of-the-art in polarimetric detection, characterization, and remote sensing, including military and environmental monitoring as well as terrestrial, atmospheric, and biomedical characterization. The book identifies polarimetric techniques that have been especially successful for various applications as well as the future needs of the various research communities. The monograph is intended to facilitate cross-pollination of ideas and thereby improve research efficiency and help advance the field of polarimetry into the future. The book is thoroughly interdisciplinary and contains only invited review chapters written by leading experts in the respective fields. It will be useful to science professionals, engineers, and graduate students working in a broad range of disciplines: optics, electromagnetics, atmospheric radiation and remote sensing, radar meteorology, oceanography, climate research, astrophysics, optical engineering and technology, particle characterization, and biomedical optics.

Advanced Data Assimilation for Geosciences

Author : Marc Bocquet
Publisher : Lecture Notes of the Les Houch
ISBN 13 : 0198723849
Total Pages : 609 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Advanced Data Assimilation for Geosciences by : Marc Bocquet

Download or read book Advanced Data Assimilation for Geosciences written by Marc Bocquet and published by Lecture Notes of the Les Houch. This book was released on 2014 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers notes from lectures and seminars given during a three-week school on theoretical and applied data assimilation held in Les Houches in 2012. Data assimilation aims at determining as accurately as possible the state of a dynamical system by combining heterogeneous sources of information in an optimal way.

Springer Series in Light Scattering

Author : Alexander Kokhanovsky
Publisher : Springer Nature
ISBN 13 : 3030712540
Total Pages : 201 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Springer Series in Light Scattering by : Alexander Kokhanovsky

Download or read book Springer Series in Light Scattering written by Alexander Kokhanovsky and published by Springer Nature. This book was released on 2021-04-24 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at description of recent progress in radiative transfer, atmospheric remote sensing, snow optics, and light scattering. Light scattering/ radiative transfer and atmospheric optics research community will greatly benefit from the publication of this book.

Complex Systems: Spanning Control and Computational Cybernetics: Applications

Author : Peng Shi
Publisher : Springer Nature
ISBN 13 : 3031009789
Total Pages : 551 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Complex Systems: Spanning Control and Computational Cybernetics: Applications by : Peng Shi

Download or read book Complex Systems: Spanning Control and Computational Cybernetics: Applications written by Peng Shi and published by Springer Nature. This book was released on 2022-09-18 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, dedicated to Professor Georgi M. Dimirovski on his anniversary, contains new research directions, challenges, and many relevant applications related to many aspects within the broadly perceived areas of systems and control, including signal analysis and intelligent systems. The project comprises two volumes with papers written by well known and very active researchers and practitioners. The first volume is focused on more foundational aspects related to general issues in systems science and mathematical systems, various problems in control and automation, and the use of computational and artificial intelligence in the context of systems modeling and control. The second volume is concerned with a presentation of relevant applications, notably in robotics, computer networks, telecommunication, fault detection/diagnosis, as well as in biology and medicine, and economic, financial, and social systems too.

Foundations of Atmospheric Remote Sensing

Author : Dmitry Efremenko
Publisher : Springer Nature
ISBN 13 : 3030667456
Total Pages : 297 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Foundations of Atmospheric Remote Sensing by : Dmitry Efremenko

Download or read book Foundations of Atmospheric Remote Sensing written by Dmitry Efremenko and published by Springer Nature. This book was released on 2021-05-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical foundations of atmospheric remote sensing are electromagnetic theory, radiative transfer and inversion theory. This book provides an overview of these topics in a common context, compile the results of recent research, as well as fill the gaps, where needed. The following aspects are covered: principles of remote sensing, the atmospheric physics, foundations of the radiative transfer theory, electromagnetic absorption, scattering and propagation, review of computational techniques in radiative transfer, retrieval techniques as well as regularization principles of inversion theory. As such, the book provides a valuable resource for those who work with remote sensing data and want to get a broad view of theoretical foundations of atmospheric remote sensing. The book will be also useful for students and researchers working in such diverse fields like inverse problems, atmospheric physics, electromagnetic theory, and radiative transfer.

Physics of Radiation and Climate

Author : Michael A. Box
Publisher : CRC Press
ISBN 13 : 146657206X
Total Pages : 504 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Physics of Radiation and Climate by : Michael A. Box

Download or read book Physics of Radiation and Climate written by Michael A. Box and published by CRC Press. This book was released on 2015-10-14 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our current climate is strongly influenced by atmospheric composition, and changes in this composition are leading to climate change. Physics of Radiation and Climate takes a look at how the outward flow of longwave or terrestrial radiation is affected by the complexities of the atmosphere's molecular spectroscopy. This book examines the planet in

Linear Inverse Problems and Tikhonov Regularization

Author : Mark S. Gockenbach
Publisher :
ISBN 13 : 9781614440291
Total Pages : 321 pages
Book Rating : 4.4/5 (42 download)

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Book Synopsis Linear Inverse Problems and Tikhonov Regularization by : Mark S. Gockenbach

Download or read book Linear Inverse Problems and Tikhonov Regularization written by Mark S. Gockenbach and published by . This book was released on 2016 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Model Calibration and Parameter Estimation

Author : Ne-Zheng Sun
Publisher : Springer
ISBN 13 : 1493923234
Total Pages : 621 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Model Calibration and Parameter Estimation by : Ne-Zheng Sun

Download or read book Model Calibration and Parameter Estimation written by Ne-Zheng Sun and published by Springer. This book was released on 2015-07-01 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-part book provides a comprehensive and systematic introduction to these challenging topics such as model calibration, parameter estimation, reliability assessment, and data collection design. Part 1 covers the classical inverse problem for parameter estimation in both deterministic and statistical frameworks, Part 2 is dedicated to system identification, hyperparameter estimation, and model dimension reduction, and Part 3 considers how to collect data and construct reliable models for prediction and decision-making. For the first time, topics such as multiscale inversion, stochastic field parameterization, level set method, machine learning, global sensitivity analysis, data assimilation, model uncertainty quantification, robust design, and goal-oriented modeling, are systematically described and summarized in a single book from the perspective of model inversion, and elucidated with numerical examples from environmental and water resources modeling. Readers of this book will not only learn basic concepts and methods for simple parameter estimation, but also get familiar with advanced methods for modeling complex systems. Algorithms for mathematical tools used in this book, such as numerical optimization, automatic differentiation, adaptive parameterization, hierarchical Bayesian, metamodeling, Markov chain Monte Carlo, are covered in details. This book can be used as a reference for graduate and upper level undergraduate students majoring in environmental engineering, hydrology, and geosciences. It also serves as an essential reference book for professionals such as petroleum engineers, mining engineers, chemists, mechanical engineers, biologists, biology and medical engineering, applied mathematicians, and others who perform mathematical modeling.

Geospatial Algebraic Computations

Author : Joseph Awange
Publisher : Springer
ISBN 13 : 3319254650
Total Pages : 541 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Geospatial Algebraic Computations by : Joseph Awange

Download or read book Geospatial Algebraic Computations written by Joseph Awange and published by Springer. This book was released on 2016-01-29 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: Robust parameter estimation, Multiobjective optimization and Symbolic regression. Furthermore, the linear homotopy chapter is expanded to include nonlinear homotopy. These disciplines are discussed first in the theoretical part of the book before illustrating their geospatial applications in the applications chapters where numerous numerical examples are presented. The renewed electronic supplement contains these new theoretical and practical topics, with the corresponding Mathematica statements and functions supporting their computations introduced and applied. This third edition is renamed in light of these technological advancements.

Large Scale Inverse Problems

Author : Mike Cullen
Publisher : Walter de Gruyter
ISBN 13 : 3110282267
Total Pages : 212 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Large Scale Inverse Problems by : Mike Cullen

Download or read book Large Scale Inverse Problems written by Mike Cullen and published by Walter de Gruyter. This book was released on 2013-08-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is thesecond volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. Thiscollection of surveyarticlesfocusses onthe large inverse problems commonly arising in simulation and forecasting in the earth sciences. For example, operational weather forecasting models have between 107 and 108 degrees of freedom. Even so, these degrees of freedom represent grossly space-time averaged properties of the atmosphere. Accurate forecasts require accurate initial conditions. With recent developments in satellite data, there are between 106 and 107 observations each day. However, while these also represent space-time averaged properties, the averaging implicit in the measurements is quite different from that used in the models. In atmosphere and ocean applications, there is a physically-based model available which can be used to regularise the problem. We assume that there is a set of observations with known error characteristics available over a period of time. The basic deterministic technique is to fit a model trajectory to the observations over a period of time to within the observation error. Since the model is not perfect the model trajectory has to be corrected, which defines the data assimilation problem. The stochastic view can be expressed by using an ensemble of model trajectories, and calculating corrections to both the mean value and the spread which allow the observations to be fitted by each ensemble member. In other areas of earth science, only the structure of the model formulation itself is known and the aim is to use the past observation history to determine the unknown model parameters. The book records the achievements of Workshop2 "Large-Scale Inverse Problems and Applications in the Earth Sciences". Itinvolves experts in the theory of inverse problems together with experts working on both theoretical and practical aspects of the techniques by which large inverse problems arise in the earth sciences.

Handbook of Mathematical Methods in Imaging

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
ISBN 13 : 0387929193
Total Pages : 1626 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Advances in Passive Microwave Remote Sensing of Oceans

Author : Victor Raizer
Publisher : CRC Press
ISBN 13 : 149876777X
Total Pages : 262 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Advances in Passive Microwave Remote Sensing of Oceans by : Victor Raizer

Download or read book Advances in Passive Microwave Remote Sensing of Oceans written by Victor Raizer and published by CRC Press. This book was released on 2017-03-27 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the capabilities of passive microwave technique for enhanced observations of ocean features, including the detection of (sub)surface events and/or disturbances while laying out the benefits and boundaries of these methods. It represents not only an introduction and complete description of the main principles of ocean microwave radiometry and imagery, but also provides guidance for further experimental studies. Furthermore, it expands the analysis of remote sensing methods, models, and techniques and focuses on a high-resolution multiband imaging observation concept. Such an advanced approach provides readers with a new level of geophysical information and data acquisition granting the opportunity to improve their expertise on advanced microwave technology, now an indispensable tool for diagnostics of ocean phenomena and disturbances.

Compressed Sensing & Sparse Filtering

Author : Avishy Y. Carmi
Publisher : Springer Science & Business Media
ISBN 13 : 364238398X
Total Pages : 505 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Compressed Sensing & Sparse Filtering by : Avishy Y. Carmi

Download or read book Compressed Sensing & Sparse Filtering written by Avishy Y. Carmi and published by Springer Science & Business Media. This book was released on 2013-09-13 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at presenting concepts, methods and algorithms ableto cope with undersampled and limited data. One such trend that recently gained popularity and to some extent revolutionised signal processing is compressed sensing. Compressed sensing builds upon the observation that many signals in nature are nearly sparse (or compressible, as they are normally referred to) in some domain, and consequently they can be reconstructed to within high accuracy from far fewer observations than traditionally held to be necessary. Apart from compressed sensing this book contains other related approaches. Each methodology has its own formalities for dealing with such problems. As an example, in the Bayesian approach, sparseness promoting priors such as Laplace and Cauchy are normally used for penalising improbable model variables, thus promoting low complexity solutions. Compressed sensing techniques and homotopy-type solutions, such as the LASSO, utilise l1-norm penalties for obtaining sparse solutions using fewer observations than conventionally needed. The book emphasizes on the role of sparsity as a machinery for promoting low complexity representations and likewise its connections to variable selection and dimensionality reduction in various engineering problems. This book is intended for researchers, academics and practitioners with interest in various aspects and applications of sparse signal processing.

Regularization of Inverse Problems

Author : Heinz Werner Engl
Publisher : Springer Science & Business Media
ISBN 13 : 9780792361404
Total Pages : 340 pages
Book Rating : 4.3/5 (614 download)

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Book Synopsis Regularization of Inverse Problems by : Heinz Werner Engl

Download or read book Regularization of Inverse Problems written by Heinz Werner Engl and published by Springer Science & Business Media. This book was released on 2000-03-31 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.