没有合适的资源?快使用搜索试试~ 我知道了~
资源推荐
资源详情
资源评论
Evaluating
Derivatives
Evaluating
Derivatives
Principles and Techniques of
Algorithmic Differentiation
Second Edition
Andreas Griewank
Institut für Mathematik
Humboldt–Universität zu Berlin
Berlin, Germany
Andrea Walther
Institut für Wissenschaftliches Rechnen
Technische Universität Dresden
Dresden, Germany
Society for Industrial and Applied Mathematics • Philadelphia
Copyright © 2008 by the Society for Industrial and Applied Mathematics.
10 9 8 7 6 5 4 3 2 1
All rights reserved. Printed in the United States of America. No part of this book may be
reproduced, stored, or transmitted in any manner without the written permission of the
publisher. For information, write to the Society for Industrial and Applied Mathematics,
3600 Market Street, 6th Floor, Philadelphia, PA 19104-2688 USA.
Trademarked names may be used in this book without the inclusion of a trademark symbol.
These names are used in an editorial context only; no infringement of trademark is intended.
Maple is a registered trademark of Waterloo Maple, Inc.
Mathematica is a registered trademark of Wolfram Research, Inc.
MATLAB is a registered trademark of The MathWorks, Inc. For MATLAB product informa-
tion, please contact The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760-2098 USA,
508-647-7000, Fax: 508-647-7101, info@mathworks.com, www.mathworks.com.
Library of Congress Cataloging-in-Publication Data
Griewank, Andreas.
Evaluating derivatives : principles and techniques of algorithmic differentiation. – 2nd ed. /
Andreas Griewank, Andrea Walther.
p. cm.
Includes bibliographical references and index.
ISBN 978-0-898716-59-7 (alk. paper)
1. Differential calculus–Data processing. I. Walther, Andrea. II. Title.
QA304.G76 2008
515'.33--dc22
2008021064
is a registered trademark.
Contents
Rules ix
Preface xi
Prologue xv
Mathematical Symbols xix
1 Introduction 1
I Tangents and Gradients 13
2 A Framework for Evaluating Functions 15
2.1 TheLighthouseExample ...................... 16
2.2 Three-PartEvaluationProcedures ................. 18
2.3 Elemental Differentiability . . . . . . . . . . . . . . . . . . . . . . 23
2.4 Generalizations and Connections . . . . . . . . . . . . . . . . . . 25
2.5 ExamplesandExercises ....................... 29
3 Fundamentals of Forward and Reverse 31
3.1 Forward Propagation of Tangents . . . . . . . . . . . . . . . . . . 32
3.2 Reverse Propagation of Gradients . . . . . . . . . . . . . . . . . . 37
3.3 Cheap Gradient Principle with Examples . . . . . . . . . . . . . 44
3.4 ApproximateErrorAnalysis..................... 50
3.5 SummaryandDiscussion ...................... 52
3.6 ExamplesandExercises ....................... 56
4 Memory Issues and Complexity Bounds 61
4.1 MemoryAllocationandOverwrites................. 61
4.2 RecordingPrevaluesontheTape.................. 64
4.3 SelectiveSavesandRestores..................... 70
4.4 ATemporalComplexityModel ................... 73
4.5 Complexity of Tangent Propagation . . . . . . . . . . . . . . . . 80
4.6 Complexity of Gradient Propagation . . . . . . . . . . . . . . . . 83
4.7 ExamplesandExercises ....................... 88
v
剩余459页未读,继续阅读
资源评论
- zengjing19872019-07-09原版书,体积小,清晰。
- junzeng06032018-08-02找了很久,非常好的资源,完整且清晰。
- chenxing2632020-08-24thanks for sharing
若谷虚怀
- 粉丝: 64
- 资源: 240
上传资源 快速赚钱
- 我的内容管理 展开
- 我的资源 快来上传第一个资源
- 我的收益 登录查看自己的收益
- 我的积分 登录查看自己的积分
- 我的C币 登录后查看C币余额
- 我的收藏
- 我的下载
- 下载帮助
最新资源
- MATLAB 图像处理:自动检测黑白像素比例的多功能代码(支持灰度和二值图像)
- windows平台下终端工具-tabby
- STM32和ucosii系统温度监控系统keil5工程
- HIVE-14706.01.patch
- C# WInForm IrisSkin2皮肤控件
- svn cleanup 失败怎么办
- Spring Boot集成Spring Security,HTTP请求授权配置:包含匿名访问、允许访问、禁止访问配置
- 易语言-画曲线模块及应用例程
- 电子元件行业知名厂商官网(TI/NXP/ST/Infineon/ADI/Microchip/Qualcomm/Diodes/Panasonic/TDK/TE/Vishay/Molex等)数据样例
- Cytoscape-3-10-0-windows-64bit.exe
资源上传下载、课程学习等过程中有任何疑问或建议,欢迎提出宝贵意见哦~我们会及时处理!
点击此处反馈
安全验证
文档复制为VIP权益,开通VIP直接复制
信息提交成功