非次模化约束条件下的非次模化函数最大化近似算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-26 DOI:10.1016/j.dam.2024.09.022

Xiaoyan Lai, Yishuo Shi

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引用次数: 0

摘要

如今，在Knapsack约束或Cardinality约束下最大化非负和非次模态目标函数的研究已经非常深入。然而，很少有人研究非次模化约束下的非次模化目标函数。而这种情况在实际应用中很多，如流行病传播、传感器安置和特征选择问题等。本文研究了非次模化约束下的非次模化目标函数最大化问题。基于非次模化约束，我们讨论了目标函数最大化的一些特定属性，其中包括负属性，然后通过贪婪算法得到了相应的近似比率。更重要的是，当约束条件变得严格时，这些近似比率可以得到改善。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Approximation algorithm of maximizing non-submodular functions under non-submodular constraint

Nowadays, maximizing the non-negative and non-submodular objective functions under Knapsack constraint or Cardinality constraint is deeply researched. Nevertheless, few studies study the objective functions with non-submodularity under the non-submodular constraint. And there are many practical applications of the situations, such as Epidemic transmission, and Sensor Placement and Feature Selection problem. In this paper, we study the maximization of the non-submodular objective functions under the non-submodular constraint. Based on the non-submodular constraint, we discuss the maximization of the objective functions with some specific properties, which includes the property of negative, and then, we obtain the corresponding approximate ratios by the greedy algorithm. What is more, these approximate ratios could be improved when the constraint becomes tight.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.