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Titlebook: Bayesian Heuristic Approach to Discrete and Global Optimization; Algorithms, Visualiz Jonas Mockus,William Eddy,Gintaras Reklaitis Book 199

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发表于 2025-3-21 18:53:15 | 显示全部楼层 |阅读模式
期刊全称Bayesian Heuristic Approach to Discrete and Global Optimization
期刊简称Algorithms, Visualiz
影响因子2023Jonas Mockus,William Eddy,Gintaras Reklaitis
视频video
学科分类Nonconvex Optimization and Its Applications
图书封面Titlebook: Bayesian Heuristic Approach to Discrete and Global Optimization; Algorithms, Visualiz Jonas Mockus,William Eddy,Gintaras Reklaitis Book 199
影响因子Bayesian decision theory is known to provide an effectiveframework for the practical solution of discrete and nonconvexoptimization problems. This book is the first to demonstrate that thisframework is also well suited for the exploitation of heuristicmethods in the solution of such problems, especially those of largescale for which exact optimization approaches can be prohibitivelycostly. The book covers all aspects ranging from the formalpresentation of the Bayesian Approach, to its extension to theBayesian Heuristic Strategy, and its utilization within the informal,interactive Dynamic Visualization strategy. The developed framework isapplied in forecasting, in neural network optimization, and in a largenumber of discrete and continuous optimization problems. Specificapplication areas which are discussed include scheduling andvisualization problems in chemical engineering, manufacturing processcontrol, and epidemiology. Computational results and comparisons witha broad range of test examples are presented. The software requiredfor implementation of the Bayesian Heuristic Approach is included.Although some knowledge of mathematical statistics is necessary inorder to fathom the the
Pindex Book 1997
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Mathematical Justification of the Bayesian Heuristics Approachefficiency is the results of real life problems [30, 44, 115, 63]. Needless to say, one should use any available mathematical justification, too. An important condition is to regard the theoretical and experimental results in right proportions.
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Long-Memory Processes and Exchange Rate Forecastinged the attention of many researchers in recent years [29, 16, 161, 17, 81, 103]. The frequency of the use of ARFIMA modeling in empirical research underscores the importance of efficient, both computational and statistical, estimation of the models. In estimating the parameters of the ARFIMA models,
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Application of Global Line-Search in the Optimization of NetworksIt is shown that GLS provides the global minimum after a finite number of steps in two cases of piecewise linear cost functions of arcs. The first case is, where all cost functions are convex. The second case is, where all costs are equal to zero at zero flow, and equal to some constant at non-zero
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Solving Differential Equations by Event- Driven Techniques for Parameter Optimizationtor circuits. We apply the well known event-driven techniques to obtain an approximate solution fast. We extend these techniques by considering pairs of nodes, instead of single nodes. The “twin-node” technique is more efficient in tightly coupled circuits as compared with the “single-node” one. The
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Optimization in Neural Networkss from real biological systems. These units are regarded as simplification of biological neurons what explains the ANN term. The information in ANN is stored in “weights” of connections between the units. It is assumed that ANN “adapts” to a problem by changing these weights.
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Bayesian Approach to Discrete Optimizationtimization of heuristic parameters using the BHA. Therefore we consider the discrete optimization as the main area of BHA application. The representation of discrete optimization as a multi-stage decision problem is also a convenient way to show how BHA works.
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