基于单目标求解器的多目标优化中质量指标最大化Quality Indicator Maximization in Multiobjective Optimization Via Single-Objective Solvers |
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课程网址: | http://videolectures.net/solomon_brockhoff_quality_indicator_maxi... |
主讲教师: | Dimo Brockhoff |
开课单位: | Inria Saclay-法国 |
开课时间: | 2019-05-06 |
课程语种: | 英语 |
中文简介: | 当多目标函数需要同时优化时,多目标优化问题在实践中经常出现。通常,处理多目标问题的目的是找到一组最大化给定质量的p解决方案,例如由超级容积指示器定义的。在本次演讲中,我将提出一个新的多目标框架,该框架通过n次p维问题的连续动态(单目标)子空间优化,来攻击n维搜索空间中p解的优化,使其达到质量指标的最大值。当被实例化为COMO-CMA-ES(具有超体积改进的“非平坦”版本)和著名的CMA-ES作为单目标解算器时,我们观察到,在各种双目标凸二次问题上,相对于超体积指标,p解的最优位置是线性收敛的。除了框架的总体思想和具体COMO-CMA-ES的细节之外,我将特别介绍为什么选择“非平坦”超级卷对算法性能至关重要的直觉。在COCO平台的bbob-biobj套件上,通过与其他著名多目标算法的比较,展示基准数据将是演示的最重要部分。本演示基于与Cheikh Touré、Anne Auger和Nikolaus Hansen的合作:“多目标问题的非平坦超容量改进:COMO-CMA-ES和Sofomore框架”,GECCO-2019接受 |
课程简介: | Multiobjective Optimization problems appear frequently in practice when multiple objective functions need to be optimized simultaneously. Often, a multiobjective problem is approached by aiming to find a set of p solutions that maximizes a given quality, for example as defined by the hypervolume indicator. In this talk, I will present a new multiobjective framework which attacks the optimization of p solutions in a search space of dimension n towards the maximum of a quality indicator by successive dynamic (single-objective) subspace optimization of an n times p dimensional problem. When instantiated as the COMO-CMA-ES with an "unflattened" version of the hypervolume improvement and the well-known CMA-ES as single-objective solver, we observe linear convergence to the optimal placement of p solutions with respect to the hypervolume indicator on various bi-objective convex-quadratic problems. In addition to the general idea of the framework and details on the concrete COMO-CMA-ES, I will present in particular the intuition why the choice of the "unflattened" hypervolume is crucial to the performance of the algorithm. The presentation of benchmarking data from comparisons with other well-known multiobjective algorithms on the bbob-biobj suite of the COCO platform will top off the presentation. This presentation is based on work with Cheikh Touré, Anne Auger, and Nikolaus Hansen: "Unflattened Hypervolume Improvement for Multiobjective Problems: COMO-CMA-ES and the Sofomore framework", accepted at GECCO-2019 |
关 键 词: | 基于单目标求解器; 多目标优化; 质量指标最大化; 多目标优化问题; 多目标函数需要同时优 |
课程来源: | 视频讲座网 |
数据采集: | 2022-10-18:cyh |
最后编审: | 2022-10-18:cyh |
阅读次数: | 40 |