first-order methods in optimization amir-beckfirst-order methods in optimization amir-beck 优化amir-beck的一阶方法 重点词汇 first-order一阶;第一级 optimization优化;最佳化;优选法;最恰当;最佳条件选择©2022 Baidu |由 百度智能云 提供计算服务 | 使用百度前必读 | 文库协议 | 网站地图 | 百度营销 ...
邻近点映射的性质下面这个定理讨论了邻近点映射和次梯度的关系 定理:假设 f:\mathbb{E}\to [-\infty,\infty] 是一个合理(proper:函数不恒等于正无穷且不取负无穷值)闭凸函数,那么以下三个命题是等价的( x,y…
1.0 前言 本文主要是对 Amir·Beck的《First-order methods in optimization》一书中的部分内容的翻译以及对相关概念扩展补充的笔记。由于笔者还是一名优化方面的小菜鸡,文章中难免会有一些错误,希望看到的盆友…
Primal and Dual Projected Subgradient Methods; Chapter 9: Mirror Descent; Chapter 10: The Proximal Gradient Method; Chapter 11: The Block Proximal Gradient Method; Chapter 12: Dual-Based Proximal Gradient Methods; Chapter 13: The Generalized Conditional Gradient Method; Chapter 14: Alternating Minimiza...
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对偶空间与双重对偶空间：向量空间上的线性泛函构成对偶空间，用符号表示。给定向量空间，其内积与对偶空间内积保持一致。对偶范数定义为线性泛函在单位球面上的最大内积值。引理证明了广义不等式成立。在有限维空间，双重对偶空间与原始空间同构，双重对偶范数与原始空间范数一致。伴随变换定义：给定向量空间与...
First-Order Methods in Optimization offers comprehensive study of first-order methods with the theoretical foundations; provides plentiful examples and illustrations; emphasizes rates of convergence and complexity analysis of the main first-order methods used to solve large-scale problems; and covers both...
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First-order methods in optimization. The author of First-order methods in optimization defines the book's subject matter as optimization methods that rely on function \"values and gradients/subgradients (but not Hessians).\" The most familiar example of a first-order method... C Jones - 《...