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多目标优化中使用树状图和旭日图进行可视化。

Visualisation with treemaps and sunbursts in many-objective optimisation.

作者信息

Walker David J

机构信息

University of Exeter, Exeter, UK.

出版信息

Genet Program Evolvable Mach. 2018;19(3):421-452. doi: 10.1007/s10710-018-9329-0. Epub 2018 Aug 7.

DOI:10.1007/s10710-018-9329-0
PMID:30956541
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6417388/
Abstract

Visualisation is an important aspect of evolutionary computation, enabling practitioners to explore the operation of their algorithms in an intuitive way and providing a better means for displaying their results to problem owners. The presentation of the complex data arising in many-objective evolutionary algorithms remains a challenge, and this work examines the use of and for visualising such data. We present a novel algorithm for arranging a treemap so that it explicitly displays the dominance relations that characterise many-objective populations, as well as considering approaches for creating trees with which to represent multi- and many-objective solutions. We show that treemaps and sunbursts can be used to display important aspects of evolutionary computation, such as the diversity and convergence of a search population, and demonstrate the approaches on a range of test problems and a real-world problem from the literature.

摘要

可视化是进化计算的一个重要方面，它使从业者能够以直观的方式探索其算法的运行情况，并为向问题所有者展示其结果提供了更好的手段。多目标进化算法中产生的复杂数据的呈现仍然是一个挑战，这项工作研究了使用[具体内容缺失]来可视化此类数据。我们提出了一种新颖的算法来排列树状图，以便它能明确显示表征多目标群体的支配关系，同时还考虑了创建用于表示多目标和多目标解决方案的树的方法。我们表明，树状图和旭日图可用于展示进化计算的重要方面，例如搜索群体的多样性和收敛性，并在一系列测试问题和文献中的一个实际问题上演示了这些方法。

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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/0d5861fcc8fd/10710_2018_9329_Fig18_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/ad5c5e060b93/10710_2018_9329_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/2bc1043c26c7/10710_2018_9329_Fig2_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/bbb51ef6da12/10710_2018_9329_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/373b9410b872/10710_2018_9329_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/1bd939641d73/10710_2018_9329_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/81b9434a7193/10710_2018_9329_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/d9db54de3c57/10710_2018_9329_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/9f661a56b65f/10710_2018_9329_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/8072a7350e02/10710_2018_9329_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/202015db2f6f/10710_2018_9329_Fig13_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/c91a3eccd05e/10710_2018_9329_Fig14_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/680f7c823131/10710_2018_9329_Fig15_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/d181e5cebbbd/10710_2018_9329_Fig16_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/ec950f3870a5/10710_2018_9329_Fig17_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b18/6417388/0d5861fcc8fd/10710_2018_9329_Fig18_HTML.jpg

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