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Author: Christian H. Bischof
Publisher: Springer Science & Business Media
ISBN: 3540689427
Category : Computers
Languages : en
Pages : 366
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Book Description
The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.
Author: Christian H. Bischof
Publisher: Springer Science & Business Media
ISBN: 3540689427
Category : Computers
Languages : en
Pages : 366
Get Book Here
Book Description
The Fifth International Conference on Automatic Differentiation held from August 11 to 15, 2008 in Bonn, Germany, is the most recent one in a series that began in Breckenridge, USA, in 1991 and continued in Santa Fe, USA, in 1996, Nice, France, in 2000 and Chicago, USA, in 2004. The 31 papers included in these proceedings re?ect the state of the art in automatic differentiation (AD) with respect to theory, applications, and tool development. Overall, 53 authors from institutions in 9 countries contributed, demonstrating the worldwide acceptance of AD technology in computational science. Recently it was shown that the problem underlying AD is indeed NP-hard, f- mally proving the inherently challenging nature of this technology. So, most likely, no deterministic “silver bullet” polynomial algorithm can be devised that delivers optimum performance for general codes. In this context, the exploitation of doma- speci?c structural information is a driving issue in advancing practical AD tool and algorithm development. This trend is prominently re?ected in many of the pub- cations in this volume, not only in a better understanding of the interplay of AD and certain mathematical paradigms, but in particular in the use of hierarchical AD approaches that judiciously employ general AD techniques in application-speci?c - gorithmic harnesses. In this context, the understanding of structures such as sparsity of derivatives, or generalizations of this concept like scarcity, plays a critical role, in particular for higher derivative computations.
Author: Jeffrey C. Alexander
Publisher: Columbia University Press
ISBN: 9780231069960
Category : Social Science
Languages : en
Pages : 540
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Book Description
Author: Shaun Forth
Publisher: Springer Science & Business Media
ISBN: 3642300235
Category : Mathematics
Languages : en
Pages : 356
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Book Description
The proceedings represent the state of knowledge in the area of algorithmic differentiation (AD). The 31 contributed papers presented at the AD2012 conference cover the application of AD to many areas in science and engineering as well as aspects of AD theory and its implementation in tools. For all papers the referees, selected from the program committee and the greater community, as well as the editors have emphasized accessibility of the presented ideas also to non-AD experts. In the AD tools arena new implementations are introduced covering, for example, Java and graphical modeling environments or join the set of existing tools for Fortran. New developments in AD algorithms target the efficiency of matrix-operation derivatives, detection and exploitation of sparsity, partial separability, the treatment of nonsmooth functions, and other high-level mathematical aspects of the numerical computations to be differentiated. Applications stem from the Earth sciences, nuclear engineering, fluid dynamics, and chemistry, to name just a few. In many cases the applications in a given area of science or engineering share characteristics that require specific approaches to enable AD capabilities or provide an opportunity for efficiency gains in the derivative computation. The description of these characteristics and of the techniques for successfully using AD should make the proceedings a valuable source of information for users of AD tools.
Author: H. Martin Bücker
Publisher: Springer Science & Business Media
ISBN: 3540284389
Category : Computers
Languages : en
Pages : 370
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Book Description
Covers the state of the art in automatic differentiation theory and practice. Intended for computational scientists and engineers, this book aims to provide insight into effective strategies for using automatic differentiation for design optimization, sensitivity analysis, and uncertainty quantification.
Author: Mark Kirby
Publisher: Bloomsbury Publishing
ISBN: 1349142336
Category : Social Science
Languages : en
Pages : 252
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Book Description
This accessible text explores the staggering rise in inequality in recent years. It includes recent empirical material on all the key dimensions of inequality, including class, gender, ethnicity, age and disability, and considers both classical and new theoretical approaches to the study of these dimensions of social stratification and difference. The exercises and overall active learning approach offer students ample scope to exercise and develop their sociological skills.
Author: Emily L. Mofield
Publisher: Taylor & Francis
ISBN: 1000601463
Category : Education
Languages : en
Pages : 165
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Book Description
Vertical Differentiation for Gifted, Advanced, and High-Potential Students outlines 25 engaging tools and strategies to stretch student thinking, promote deep learning, and provide layers of challenge in the classroom and beyond. Each strategy is expertly designed to foster deep inquiry and conceptual understanding by guiding students to justify conclusions, apply critical and creative thinking, develop solutions to real-world problems, and transfer learning across contexts. Packed with both "tried and true" thinking models and new, innovative ideas with concrete examples, this resource ensures that no matter where students are in their learning journey, they’ll find themselves challenged and engaged. This book is essential reading for educators looking to support and extend student thinking across content areas and grade levels.
Author: Marc Henrard
Publisher: Springer
ISBN: 3319539795
Category : Business & Economics
Languages : en
Pages : 112
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Book Description
This book provides the first practical guide to the function and implementation of algorithmic differentiation in finance. Written in a highly accessible way, Algorithmic Differentiation Explained will take readers through all the major applications of AD in the derivatives setting with a focus on implementation. Algorithmic Differentiation (AD) has been popular in engineering and computer science, in areas such as fluid dynamics and data assimilation for many years. Over the last decade, it has been increasingly (and successfully) applied to financial risk management, where it provides an efficient way to obtain financial instrument price derivatives with respect to the data inputs. Calculating derivatives exposure across a portfolio is no simple task. It requires many complex calculations and a large amount of computer power, which in prohibitively expensive and can be time consuming. Algorithmic differentiation techniques can be very successfully in computing Greeks and sensitivities of a portfolio with machine precision. Written by a leading practitioner who works and programmes AD, it offers a practical analysis of all the major applications of AD in the derivatives setting and guides the reader towards implementation. Open source code of the examples is provided with the book, with which readers can experiment and perform their own test scenarios without writing the related code themselves.
Author: Martin Mills
Publisher: Taylor & Francis
ISBN: 1317632680
Category : Education
Languages : en
Pages : 161
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Book Description
In many English-speaking countries, teachers are encouraged to differentiate their classrooms, and in some cases, through various policy mechanisms. This encouragement is often accompanied by threats and sanctions for not making the grade. By exploring the ways in which one education system in Australia has mandated differentiation through an audit of teacher practices, this book provides a timely engagement with the relationship between differentiated classrooms and social justice. It covers tensions, for instance, between providing culturally-appropriate classrooms, including constructing engaging and relevant curricula, and lowering expectations for students who have traditionally been marginalised by schooling. The data for this book has been collected from the same group of teachers over a period of three years, and offers detailed insights into how a particular politics of differentiation has played itself out in the context of a ‘global reform movement’ that has focused on improving student outcomes.
Author: Jozef Bátora
Publisher: Taylor & Francis
ISBN: 1003860362
Category : Political Science
Languages : en
Pages : 381
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Book Description
Against the backdrop of a more differentiated European Union, this book discusses the relationship between differentiation and domination in the EU in relation to how it has been transformed through the financial and refugee crises, the COVID-19 pandemic, the Russian invasion of Ukraine, and in general, a more volatile and less rule-bound global context. In doing so, it assesses to what extent these adaptations represent significant change, generating new problems and challenges, or on the other hand, providing an opportunity for new solutions or even signalling a new approach to governance that can mitigate problems associated with domination. Differentiation is discussed not only from a legal perspective, but with special attention to structural and institutional arrangements, which includes patterns of path dependence and built-in biases. This book will be of key interest to scholars and students of public sector crisis management, international organisations, and EU politics and studies.
Author: Thomas F. Coleman
Publisher: SIAM
ISBN: 1611974356
Category : Science
Languages : en
Pages : 114
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Book Description
The calculation of partial derivatives is a fundamental need in scientific computing. Automatic differentiation (AD) can be applied straightforwardly to obtain all necessary partial derivatives (usually first and, possibly, second derivatives) regardless of a code?s complexity. However, the space and time efficiency of AD can be dramatically improved?sometimes transforming a problem from intractable to highly feasible?if inherent problem structure is used to apply AD in a judicious manner. Automatic Differentiation in MATLAB using ADMAT with Applications discusses the efficient use of AD to solve real problems, especially multidimensional zero-finding and optimization, in the MATLAB environment. This book is concerned with the determination of the first and second derivatives in the context of solving scientific computing problems with an emphasis on optimization and solutions to nonlinear systems. The authors focus on the application rather than the implementation of AD, solve real nonlinear problems with high performance by exploiting the problem structure in the application of AD, and provide many easy to understand applications, examples, and MATLAB templates.
