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Bayesian Adaptive Methods for Clinical Trials

Bayesian Adaptive Methods for Clinical Trials
Author: Scott M. Berry
Publisher: CRC Press
Total Pages: 316
Release: 2010-07-19
Genre: Mathematics
ISBN: 1439825513

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Already popular in the analysis of medical device trials, adaptive Bayesian designs are increasingly being used in drug development for a wide variety of diseases and conditions, from Alzheimer's disease and multiple sclerosis to obesity, diabetes, hepatitis C, and HIV. Written by leading pioneers of Bayesian clinical trial designs, Bayesian Adapti


Adaptive Moving Mesh Methods

Adaptive Moving Mesh Methods
Author: Weizhang Huang
Publisher: Springer Science & Business Media
Total Pages: 446
Release: 2010-10-26
Genre: Mathematics
ISBN: 1441979166

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This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. Graduate students, researchers and practitioners working in this area will benefit from this book.


Adaptive Methods — Algorithms, Theory and Applications

Adaptive Methods — Algorithms, Theory and Applications
Author: W. Hackbusch
Publisher: Springer Science & Business Media
Total Pages: 281
Release: 2013-11-21
Genre: Computers
ISBN: 3663142469

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The GAMM Committee for "Efficient Numerical Methods for Partial Differential Equations" organizes workshops on subjects concerning the algorithmical treat ment of partial differential equations. The topics are discretization methods like the finite element and finite volume method for various types of applications in structural and fluid mechanics. Particular attention is devoted to advanced solu tion techniques. th The series of such workshops was continued in 1993, January 22-24, with the 9 Kiel-Seminar on the special topic "Adaptive Methods Algorithms, Theory and Applications" at the Christian-Albrechts-University of Kiel. The seminar was attended by 76 scientists from 7 countries and 23 lectures were given. The list of topics contained general lectures on adaptivity, special discretization schemes, error estimators, space-time adaptivity, adaptive solvers, multi-grid me thods, wavelets, and parallelization. Special thanks are due to Michael Heisig, who carefully compiled the contribu tions to this volume. November 1993 Wolfgang Hackbusch Gabriel Wittum v Contents Page A. AUGE, G. LUBE, D. WEISS: Galerkin/Least-Squares-FEM and Ani- tropic Mesh Refinement. 1 P. BASTIAN, G. WmUM : Adaptive Multigrid Methods: The UG Concept. 17 R. BEINERT, D. KRONER: Finite Volume Methods with Local Mesh Alignment in 2-D. 38 T. BONK: A New Algorithm for Multi-Dimensional Adaptive Nume- cal Quadrature. 54 F.A. BORNEMANN: Adaptive Solution of One-Dimensional Scalar Conservation Laws with Convex Flux. 69 J. CANU, H. RITZDORF : Adaptive, Block-Structured Multigrid on Local Memory Machines. 84 S. DAHLKE, A. KUNaTH: Biorthogonal Wavelets and Multigrid. 99 B. ERDMANN, R.H.W. HOPPE, R.


Adaptive Methods for Partial Differential Equations

Adaptive Methods for Partial Differential Equations
Author: Ivo Babushka
Publisher: SIAM
Total Pages: 382
Release: 1989-01-01
Genre: Mathematics
ISBN: 9780898712421

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"Proceedings of the Workshop on Adaptive Computational Methods for Partial Differential Equations, Rensselaer Polytechnic Institute, October 13-15, 1988"--T.p. verso.


Adaptive Finite Element Methods for Differential Equations

Adaptive Finite Element Methods for Differential Equations
Author: Wolfgang Bangerth
Publisher: Birkhäuser
Total Pages: 216
Release: 2013-11-11
Genre: Mathematics
ISBN: 303487605X

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These Lecture Notes have been compiled from the material presented by the second author in a lecture series ('Nachdiplomvorlesung') at the Department of Mathematics of the ETH Zurich during the summer term 2002. Concepts of 'self adaptivity' in the numerical solution of differential equations are discussed with emphasis on Galerkin finite element methods. The key issues are a posteriori er ror estimation and automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method (or shortly D WR method) for goal-oriented error estimation is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. 'Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. The basics of the DWR method and various of its applications are described in the following survey articles: R. Rannacher [114], Error control in finite element computations. In: Proc. of Summer School Error Control and Adaptivity in Scientific Computing (H. Bulgak and C. Zenger, eds), pp. 247-278. Kluwer Academic Publishers, 1998. M. Braack and R. Rannacher [42], Adaptive finite element methods for low Mach-number flows with chemical reactions.


Adaptive Scalarization Methods in Multiobjective Optimization

Adaptive Scalarization Methods in Multiobjective Optimization
Author: Gabriele Eichfelder
Publisher: Springer Science & Business Media
Total Pages: 247
Release: 2008-05-06
Genre: Computers
ISBN: 3540791590

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This book presents adaptive solution methods for multiobjective optimization problems based on parameter dependent scalarization approaches. Readers will benefit from the new adaptive methods and ideas for solving multiobjective optimization.


Adaptive Learning Methods for Nonlinear System Modeling

Adaptive Learning Methods for Nonlinear System Modeling
Author: Danilo Comminiello
Publisher: Butterworth-Heinemann
Total Pages: 390
Release: 2018-06-11
Genre: Technology & Engineering
ISBN: 0128129778

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Adaptive Learning Methods for Nonlinear System Modeling presents some of the recent advances on adaptive algorithms and machine learning methods designed for nonlinear system modeling and identification. Real-life problems always entail a certain degree of nonlinearity, which makes linear models a non-optimal choice. This book mainly focuses on those methodologies for nonlinear modeling that involve any adaptive learning approaches to process data coming from an unknown nonlinear system. By learning from available data, such methods aim at estimating the nonlinearity introduced by the unknown system. In particular, the methods presented in this book are based on online learning approaches, which process the data example-by-example and allow to model even complex nonlinearities, e.g., showing time-varying and dynamic behaviors. Possible fields of applications of such algorithms includes distributed sensor networks, wireless communications, channel identification, predictive maintenance, wind prediction, network security, vehicular networks, active noise control, information forensics and security, tracking control in mobile robots, power systems, and nonlinear modeling in big data, among many others. This book serves as a crucial resource for researchers, PhD and post-graduate students working in the areas of machine learning, signal processing, adaptive filtering, nonlinear control, system identification, cooperative systems, computational intelligence. This book may be also of interest to the industry market and practitioners working with a wide variety of nonlinear systems. Presents the key trends and future perspectives in the field of nonlinear signal processing and adaptive learning. Introduces novel solutions and improvements over the state-of-the-art methods in the very exciting area of online and adaptive nonlinear identification. Helps readers understand important methods that are effective in nonlinear system modelling, suggesting the right methodology to address particular issues.


Mathematical and Computational Techniques for Multilevel Adaptive Methods

Mathematical and Computational Techniques for Multilevel Adaptive Methods
Author: Ulrich Ruede
Publisher: SIAM
Total Pages: 152
Release: 1993-01-01
Genre: Mathematics
ISBN: 089871320X

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This monograph presents a unified approach to adaptive methods, addressing their mathematical theory, efficient algorithms, and flexible data structures.


Adaptive Design Methods in Clinical Trials

Adaptive Design Methods in Clinical Trials
Author: Shein-Chung Chow
Publisher: CRC Press
Total Pages: 368
Release: 2011-12-01
Genre: Mathematics
ISBN: 1439839883

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With new statistical and scientific issues arising in adaptive clinical trial design, including the U.S. FDA's recent draft guidance, a new edition of one of the first books on the topic is needed. Adaptive Design Methods in Clinical Trials, Second Edition reflects recent developments and regulatory positions on the use of adaptive designs in clini


Applied Adaptive Statistical Methods

Applied Adaptive Statistical Methods
Author: Thomas W. O'Gorman
Publisher: SIAM
Total Pages: 180
Release: 2004-01-01
Genre: Mathematics
ISBN: 0898715539

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Introduces many of the practical adaptive statistical methods and provides a comprehensive approach to tests of significance and confidence intervals.