The content includes convex sets, functions, and optimization problems, basics of convex analysis, least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems, optimality conditions, duality t
The formalism of probabilistic graphical models provides a unifying framework for capturing complex dependencies among random variables, and building large-scale multivariate statistical models. Graphical models have become a focus of research in ma
Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian
by Johannes Jahn (Author) This book serves as an introductory text to optimization theory in normed spaces. The topics of this book are existence results, various differentiability notions together with optimality conditions, the contingent cone, a
Game physics ------------------------ 本书更像是一本物理学概论，游戏开发的部分偏少，下与不下你自己定夺。 ---------------------------------------- Trademarks Figures Tables Preface About the CD-ROM INTRODUCTION 1.1 a brief history of the world 1.2 a summary of the topics 1.3 Example
Numerical Optimization has numerous applications in engineering sciences, operations research, economics, finance, etc. Starting with illustrations of this ubiquitous character, this book is essentially devoted to numerical algorithms for optimizati
这本书在国内已经绝版。目录如下 Introduction Dorit S. Hochbaum 0.1 What can approximation algorithms do for you: an illustrative example 0.2 Fundamentals and concepts 0.3 Objectives and organization of this book 0.4 Acknowledgments I Approximation Algorithms for Sc
http://www.dspguide.com/pdfbook.htm FOUNDATIONS Chapter 1 - The Breadth and Depth of DSP The Roots of DSP Telecommunications Audio Processing Echo Location Image Processing Chapter 2 - Statistics, Probability and Noise Signal and Graph Terminology M
Chapter 1. Introduction 1 1.1. Optimization 1 1.2. Types of Problems 2 1.3. Size of Problems 5 1.4. Iterative Algorithms and Convergence 6 PART I Linear Programming Chapter 2. Basic Properties of Linear Programs 11 2.1. Introduction 11 2.2. Examples
The optimal power flow (OPF) problem is nonconvex and generally hard to solve. In this paper,we propose a semidefinite programming (SDP) optimization, which is the dual of an equivalent form of the OPF problem. A global optimum solution to the OPF p
我们从Buscher T对偶规则和Double Field Theory的角度阐明了双坐标的作用。 我们表明，在文献中为修补双重空间提出的任何建议中，都无法用Double Field Theory对偶坐标识别T对偶角对偶坐标。 尤其是，我们通过明确的示例显示T对偶角对偶坐标在时空上可以具有非平凡的跃迁函数，并且它们与Double Field Theory对偶坐标的标识与在以下条件下保持惰性的提议相冲突： 修补B场。 然后，我们证明可以用某些C空间坐标识别Double Field Theory坐标
线性规划中，原问题与对偶问题的可行性分析
This set of notes proves one such theorem, called the Farkas alternative and shows that, in fact, it underpins all the duality theory of linear programming. It underlies, in fact, most of optimisaiton, itself being a particular
