Distributed stochastic methods and applications 978750249808

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書名:Distributed stochastic methods and applications
ISBN:9787502498085
出版社:冶金工業
著編譯者:王穎慧 戶豔鵬 藺鳳琴著
頁數:267
所在地:中國大陸 *此為代購商品
書號:1647432
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【台灣高等教育出版社簡體書】 Distributed stochastic methods and applications 787502498085 王穎慧 戶豔鵬 藺鳳琴著

內容簡介

本書結合理論知識和演算法模擬,從多個維度詳細剖析分散式隨機優化演算法的基本原理和應用實踐,同時對分散式隨機優化演算法開發中的重點和難點問題進行了重點講解。本書共包括7章,第1章背景知識,主要介紹分散式隨機優化的研究背景和應用場景;第2章數學基礎,主要介紹了分散式的相關概念與演算法設計應用到的定理;第3-7章分散式隨機優化演算法及應用,主要針對一般的分散式無約束優化問題,設計不同的分散式隨機優化方法,並研究這些方法的應用實踐。

目錄

Chapter 1 Introduction
1 1 Distributed optimization
1 1 1 Distributed deterministic optimization
1 1 2 Distributed stochastic optimization
1 2 Distributed machine learning
1 2 1 Distributed regression problem
1 2 2 Distributed classification problem
1 2 3 Distributed clustering problems
1 3 Structure and work of this book
Chapter 2 Preliminaries
2 1 Conve x analysis
2 1 1 Euclidean norm inequalities
2 1 2 Lipschitz continuous gradient
2 2 Probability theory
Chapter 3 Distributed Stochastic Sub-gradient Descent Algorithm
3 1 Distributed stochastic sub-gradient descent algorithm for conve x optimization
3 1 1 Background
3 1 2 Problem, algorithm and assumptions
3 1 3 Basic relations
3 1 4 Convergence in mean
3 1 5 Almost sure and mean square convergence
3 2 Distributed stochastic sub-gradient descent algorithm for regression estimation with incomplete data
3 2 1 Background
3 2 2 Problem form ulation
3 2 3 Distributed adaptive gradient-based algorithm
3 2 4 Main results of DAGA
3 2 5 Simulations
3 2 6 Conclusion
3 3 Distributed classification learning based on nonlinear vector support machines for switching networks
3 3 1 Background
3 3 2 Preliminary and SVM formulation
3 3 3 Distributed nonlinear SVM learning
3 3 4 Distributed stochastic sub-gradient based SVM algorithm
3 3 5 Simulations
3 3 6 Conclusion
Chapter 4 Distributed Mirror-descent Algorithm
4 1 Distributed stochastic mirror descent algorithm over time-varying network
4 1 1 Background
4 1 2 Preliminaries and assumptions
4 1 3 Distributed stochastic mirror descent algorithm
4 1 4 Main result
4 1 5 Simulation
4 1 6 Conclusions
4 2 A Stochastic mirror-descent algorithm for solving AXB=C over an multi-agent system
4 2 1 Background
4 2 2 Preliminaries
4 2 3 Problem form ulation and algorithm design
4 2 4 Main result
4 2 5 Simulation
4 2 6 Conclusions
4 3 Distributed stochastic mirror descent algorithm for resource allocation problem
4 3 1 Background
4 3 2 Preliminaries
4 3 3 Problem form ulation and algorithm design
4 3 4 Main result
4 3 5 Simulation
4 3 6 Conclusions
4 4 Distributed communication-sliding algorithm for nonsmooth resource allocation problem
4 4 1 Background
4 4 2 Preliminaries
4 4 3 Problem form ulation and algorithm design
4 4 4 Main result
4 4 5 Simulation
4 4 6 Conclusion
Chapter 5 Distributed Subgradient-free Algorithm
5 1 Distributed subgradient-free stochastic optimization algorithm for nonsmooth conve x functions over time-varying networks
5 1 1 Background
5 1 2 Preliminaries
5 1 3 Distributed algorithm and hypotheses
5 1 4 Main results
5 1 5 Simulations
5 1 6 Conclusions
5 2 A zeroth-order algorithm to distributed optimization with stochastic stripe observations
5 2 1 Background
5 2 2 Mathematical preliminaries
5 2 3 Formulation and algorithm
5 2 4 Main results
5 2 5 Simulation
5 2 6 Conclusion
5 3 Distributed online optimization with gradient-free design
5 3 1 Background
5 3 2 Notations and preliminaries
5 3 3 Formulation and algorithm
5 3 4 Main results
5 3 5 Simulation
Chapter 6 Distributed Stochastic Accelerated Descent Algorithm
6 1 Convergence analysis of accelerated distributed gradient methods with random sleeping scheme
6 1 1 Background
6 1 2 Preliminaries and problem form ulation
6 1 3 Main results
6 1 4 Conclusions
6 2 Distributed accelerated descent algorithm for energy resource coordination in multi-agent integrated energy systems
6 2 1 Background
6 2 2 MA-IES structure and DERC modeling
6 2 3 Distributed algorithm for the DERC
6 2 4 Cas
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