Randomized greedy methods for weak submodular sensor selection with robustness considerations

IF 4.8 2区 计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS
Ege Can Kaya , Michael Hibbard , Takashi Tanaka , Ufuk Topcu , Abolfazl Hashemi
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引用次数: 0

Abstract

We study a pair of budget- and performance-constrained weak submodular maximization problems. For computational efficiency, we explore the use of stochastic greedy algorithms which limit the search space via random sampling instead of the standard greedy procedure which explores the entire feasible search space. We propose a pair of stochastic greedy algorithms, namely, Modified Randomized Greedy (MRG) and Dual Randomized Greedy (DRG) to approximately solve the budget- and performance-constrained problems, respectively. For both algorithms, we derive approximation guarantees that hold with high probability. We then examine the use of DRG in robust optimization problems wherein the objective is to maximize the worst-case of a number of weak submodular objectives and propose the Randomized Weak Submodular Saturation Algorithm (Random-WSSA). We further derive a high-probability guarantee for when Random-WSSA successfully constructs a robust solution. Finally, we showcase the effectiveness of these algorithms in a variety of relevant uses within the context of Earth-observing LEO constellations which estimate atmospheric weather conditions and provide Earth coverage.
考虑鲁棒性的弱亚模态传感器选择随机贪婪方法
我们研究了一对预算和性能受限的弱亚模块最大化问题。为了提高计算效率,我们探索使用随机贪心算法,通过随机抽样来限制搜索空间,而不是采用探索整个可行搜索空间的标准贪心程序。我们提出了一对随机贪婪算法,即修正随机贪婪算法(MRG)和双随机贪婪算法(DRG),分别用于近似解决预算和性能受限问题。对于这两种算法,我们都得出了高概率成立的近似保证。然后,我们研究了 DRG 在稳健优化问题中的应用,其中的目标是最大化若干弱次模态目标的最坏情况,并提出了随机弱次模态饱和算法(Random-WSSA)。我们进一步推导出了 Random-WSSA 成功构建稳健解的高概率保证。最后,我们展示了这些算法在地球观测低地球轨道星座的各种相关应用中的有效性,这些星座可估算大气气象条件并提供地球覆盖。
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来源期刊
Automatica
Automatica 工程技术-工程:电子与电气
CiteScore
10.70
自引率
7.80%
发文量
617
审稿时长
5 months
期刊介绍: Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.
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