New Trends In Parameter Identification For Mathematical Models

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New Trends in Parameter Identification for Mathematical Models

Author : Bernd Hofmann
Publisher : Birkhäuser
ISBN 13 : 3319708244
Total Pages : 347 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis New Trends in Parameter Identification for Mathematical Models by : Bernd Hofmann

Download or read book New Trends in Parameter Identification for Mathematical Models written by Bernd Hofmann and published by Birkhäuser. This book was released on 2018-02-13 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Proceedings volume contains 16 contributions to the IMPA conference “New Trends in Parameter Identification for Mathematical Models”, Rio de Janeiro, Oct 30 – Nov 3, 2017, integrating the “Chemnitz Symposium on Inverse Problems on Tour”. This conference is part of the “Thematic Program on Parameter Identification in Mathematical Models” organized at IMPA in October and November 2017. One goal is to foster the scientific collaboration between mathematicians and engineers from the Brazialian, European and Asian communities. Main topics are iterative and variational regularization methods in Hilbert and Banach spaces for the stable approximate solution of ill-posed inverse problems, novel methods for parameter identification in partial differential equations, problems of tomography , solution of coupled conduction-radiation problems at high temperatures, and the statistical solution of inverse problems with applications in physics.

Model Based Parameter Estimation

Author : Hans Georg Bock
Publisher : Springer Science & Business Media
ISBN 13 : 3642303676
Total Pages : 342 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Model Based Parameter Estimation by : Hans Georg Bock

Download or read book Model Based Parameter Estimation written by Hans Georg Bock and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine, chemistry, environmental physics, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensable efficient methods of applied mathematics and computer-based modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become a standard methodology in many scientific fields, as well as in industry. Demonstrating that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book provides advanced numerical methods and the very latest results for the applications under consideration.

Identification of Parametric Models

Author : Eric Walter
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Identification of Parametric Models by : Eric Walter

Download or read book Identification of Parametric Models written by Eric Walter and published by . This book was released on 1997-01-14 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The presentation of a coherent methodology for the estimation of the parameters of mathematical models from experimental data is examined in this volume. Many topics are covered including the choice of the structure of the mathematical model, the choice of a performance criterion to compare models, the optimization of this performance criterion, the evaluation of the uncertainty in the estimated parameters, the design of experiments so as to get the most relevant data and the critical analysis of results. There are also several features unique to the work such as an up-to-date presentation of the methodology for testing models for identifiability and distinguishability and a comprehensive treatment of parametric optimization which includes greater consider ation of numerical aspects and which examines recursive and non-recursive methods for linear and nonlinear models.

Parameter Identification Using a Creeping-random-search Algorithm

Author : Russell V. Parrish
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Parameter Identification Using a Creeping-random-search Algorithm by : Russell V. Parrish

Download or read book Parameter Identification Using a Creeping-random-search Algorithm written by Russell V. Parrish and published by . This book was released on 1971 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Estimation in Fractional Diffusion Models

Author : Kęstutis Kubilius
Publisher : Springer
ISBN 13 : 3319710303
Total Pages : 403 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Parameter Estimation in Fractional Diffusion Models by : Kęstutis Kubilius

Download or read book Parameter Estimation in Fractional Diffusion Models written by Kęstutis Kubilius and published by Springer. This book was released on 2018-01-04 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to parameter estimation in diffusion models involving fractional Brownian motion and related processes. For many years now, standard Brownian motion has been (and still remains) a popular model of randomness used to investigate processes in the natural sciences, financial markets, and the economy. The substantial limitation in the use of stochastic diffusion models with Brownian motion is due to the fact that the motion has independent increments, and, therefore, the random noise it generates is “white,” i.e., uncorrelated. However, many processes in the natural sciences, computer networks and financial markets have long-term or short-term dependences, i.e., the correlations of random noise in these processes are non-zero, and slowly or rapidly decrease with time. In particular, models of financial markets demonstrate various kinds of memory and usually this memory is modeled by fractional Brownian diffusion. Therefore, the book constructs diffusion models with memory and provides simple and suitable parameter estimation methods in these models, making it a valuable resource for all researchers in this field. The book is addressed to specialists and researchers in the theory and statistics of stochastic processes, practitioners who apply statistical methods of parameter estimation, graduate and post-graduate students who study mathematical modeling and statistics.

Model Calibration and Parameter Estimation

Author : Ne-Zheng Sun
Publisher : Springer
ISBN 13 : 1493923234
Total Pages : 638 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 638 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.

Linear Parameter-Varying System Identification

Author : Paulo Lopes dos Santos
Publisher : World Scientific
ISBN 13 : 9814355453
Total Pages : 402 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Linear Parameter-Varying System Identification by : Paulo Lopes dos Santos

Download or read book Linear Parameter-Varying System Identification written by Paulo Lopes dos Santos and published by World Scientific. This book was released on 2012 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume reports the state-of-the-art in Linear Parameter Varying (LPV) system identification. Written by world renowned researchers, the book contains twelve chapters, focusing on the most recent LPV identification methods for both discrete-time and continuous-time models, using different approaches such as optimization methods for input/output LPV models Identification, set membership methods, optimization methods and subspace methods for state-space LPV models identification and orthonormal basis functions methods. Since there is a strong connection between LPV systems, hybrid switching systems and piecewise affine models, identification of hybrid switching systems and piecewise affine systems will be considered as well.

Some Aspects of Parameter Estimation in Mathematical Models of Growth

Author : Abdelaziz Laghrari
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (163 download)

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Book Synopsis Some Aspects of Parameter Estimation in Mathematical Models of Growth by : Abdelaziz Laghrari

Download or read book Some Aspects of Parameter Estimation in Mathematical Models of Growth written by Abdelaziz Laghrari and published by . This book was released on 1962 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Identification in Reaction-diffusion Models

Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 6 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis Parameter Identification in Reaction-diffusion Models by : University of Minnesota. Institute for Mathematics and Its Applications

Download or read book Parameter Identification in Reaction-diffusion Models written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1991 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Estimation in Mathematical Models for Spectroscopic Observations

Author : Radmila Pribić
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (688 download)

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Book Synopsis Parameter Estimation in Mathematical Models for Spectroscopic Observations by : Radmila Pribić

Download or read book Parameter Estimation in Mathematical Models for Spectroscopic Observations written by Radmila Pribić and published by . This book was released on 1996 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging

Author : Ke Chen
Publisher : Springer Nature
ISBN 13 : 3030986616
Total Pages : 1981 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging by : Ke Chen

Download or read book Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging written by Ke Chen and published by Springer Nature. This book was released on 2023-02-24 with total page 1981 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.

New Trends of Mathematical Inverse Problems and Applications

Author : Amine Laghrib
Publisher : Springer Nature
ISBN 13 : 3031330692
Total Pages : 178 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis New Trends of Mathematical Inverse Problems and Applications by : Amine Laghrib

Download or read book New Trends of Mathematical Inverse Problems and Applications written by Amine Laghrib and published by Springer Nature. This book was released on 2023-07-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the thoroughly reviewed and revised papers of the First International Conference on New Trends in Applied Mathematics, ICNTAM 2022, which took place in Béni Mellal, Morocco, 19-21 May 2022. The papers deal with the following topics: Inverse Problems, Partial Differential Equations, Mathematical Control, Numerical Analysis and Computer Science. The main interest is in recent trends on Inverse Problems analysis and real applications in Computer Science. The latter is viewed as a dynamic branch on the interface of mathematics and related fields, that has been growing rapidly over the past several decades. However, its mathematical analysis and interpretation still not well-detailed and needs much more clarifications. The main contribution of this book is to give some sufficient mathematical content with expressive results and accurate applications. As a growing field, it is gaining a lot of attention both in media as well as in the industry world, which will attract the interest of readers from different scientist discipline.

Identifiability of Parametric Models

Author : E. Walter
Publisher : Elsevier
ISBN 13 : 1483155951
Total Pages : 132 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Identifiability of Parametric Models by : E. Walter

Download or read book Identifiability of Parametric Models written by E. Walter and published by Elsevier. This book was released on 2014-05-23 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identifiability of Parametric Models provides a comprehensive presentation of identifiability. This book is divided into 11 chapters. Chapter 1 reviews the basic methods for structural identifiability testing. The methods that deal with large-scale models and propose conjectures on global identifiability are considered in Chapter 2, while the problems of initial model selection and generating the set of models that have the exact same input-output behavior are evaluated in Chapter 3. Chapters 4 and 5 cover nonlinear models. The relations between identifiability and the well-posedness of the estimation problem are analyzed in Chapter 6, followed by a description of the algebraic manipulations required for testing a model for structural controllability, observability, identifiability, or distinguishability in chapter 7. The rest of the chapters are devoted to the relations between identifiability and parameter uncertainty. This publication is beneficial to students and researchers aiming to acquire knowledge of the identifiability of parametric models.

Nonlinear system identification. 1. Nonlinear system parameter identification

Author : Robert Haber
Publisher : Springer Science & Business Media
ISBN 13 : 9780792358565
Total Pages : 432 pages
Book Rating : 4.3/5 (585 download)

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Book Synopsis Nonlinear system identification. 1. Nonlinear system parameter identification by : Robert Haber

Download or read book Nonlinear system identification. 1. Nonlinear system parameter identification written by Robert Haber and published by Springer Science & Business Media. This book was released on 1999 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parameter Identification in Continuum Models

Author : H. T. Banks
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Parameter Identification in Continuum Models by : H. T. Banks

Download or read book Parameter Identification in Continuum Models written by H. T. Banks and published by . This book was released on 1983 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control of Distributed Parameter Systems

Author : S. P. Banks
Publisher : Elsevier
ISBN 13 : 1483151123
Total Pages : 554 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Control of Distributed Parameter Systems by : S. P. Banks

Download or read book Control of Distributed Parameter Systems written by S. P. Banks and published by Elsevier. This book was released on 2014-05-18 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control of Distributed Parameter Systems covers the proceedings of the Second IFAC Symposium, Coventry, held in Great Britain from June 28 to July 1, 1977. The book focuses on the methodologies, processes, and techniques in the control of distributed parameter systems, including boundary value control, digital transfer matrix, and differential equations. The selection first discusses the asymptotic methods in the optimal control of distributed systems; applications of distributed parameter control theory of a survey; and dual variational inequalities for external eigenvalue problems. The book also ponders on stochastic differential equations in Hilbert space and their application to delay systems and linear quadratic optimal control problem over an infinite time horizon for a class of distributed parameter systems. The manuscript investigates the semigroup approach to boundary value control and stability of nonlinear distributed parameter systems. Topics include boundary control action implemented through a dynamical system; classical boundary value controls; stability of nonlinear systems; and feedback control on the boundary. The text also focuses on the functional analysis interpretation of Lyapunov stability; method of multipliers for a class distributed parameter systems; and digital transfer matrix approach to distributed system simulation. The selection is a dependable source of data for readers interested in the control of distributed parameter systems.

Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems

Author : Francisco Beltran-Carbajal
Publisher : Mdpi AG
ISBN 13 : 9783036539492
Total Pages : 132 pages
Book Rating : 4.5/5 (394 download)

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Book Synopsis Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems by : Francisco Beltran-Carbajal

Download or read book Advances and Trends in Mathematical Modelling, Control and Identification of Vibrating Systems written by Francisco Beltran-Carbajal and published by Mdpi AG. This book was released on 2022-05-25 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces novel results on mathematical modelling, parameter identification, and automatic control for a wide range of applications of mechanical, electric, and mechatronic systems, where undesirable oscillations or vibrations are manifested. The six chapters of the book written by experts from international scientific community cover a wide range of interesting research topics related to: algebraic identification of rotordynamic parameters in rotor-bearing system using finite element models; model predictive control for active automotive suspension systems by means of hydraulic actuators; model-free data-driven-based control for a Voltage Source Converter-based Static Synchronous Compensator to improve the dynamic power grid performance under transient scenarios; an exact elasto-dynamics theory for bending vibrations for a class of flexible structures; motion profile tracking control and vibrating disturbance suppression for quadrotor aerial vehicles using artificial neural networks and particle swarm optimization; and multiple adaptive controllers based on B-Spline artificial neural networks for regulation and attenuation of low frequency oscillations for large-scale power systems. The book is addressed for both academic and industrial researchers and practitioners, as well as for postgraduate and undergraduate engineering students and other experts in a wide variety of disciplines seeking to know more about the advances and trends in mathematical modelling, control and identification of engineering systems in which undesirable oscillations or vibrations could be presented during their operation.