Efficient Streaming Algorithms for Maximizing Monotone DR-Submodular Function on the Integer Lattice [PDF]
Mathematics, 2022 In recent years, the issue of maximizing submodular functions has attracted much interest from research communities. However, most submodular functions are specified in a set function.
Bich-Ngan T. Nguyen +3 more
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Hypergraphs with edge-dependent vertex weights: p-Laplacians and spectral clustering [PDF]
Frontiers in Big Data, 2023 We study p-Laplacians and spectral clustering for a recently proposed hypergraph model that incorporates edge-dependent vertex weights (EDVW). These weights can reflect different importance of vertices within a hyperedge, thus conferring the hypergraph ...
Yu Zhu, Santiago Segarra
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Selecting molecules with diverse structures and properties by maximizing submodular functions of descriptors learned with graph neural networks [PDF]
Scientific Reports, 2022 Selecting diverse molecules from unexplored areas of chemical space is one of the most important tasks for discovering novel molecules and reactions. This paper proposes a new approach for selecting a subset of diverse molecules from a given molecular ...
Tomohiro Nakamura +5 more
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Game Theoretic Clustering for Finding Strong Communities [PDF]
EntropyWe address the challenge of identifying meaningful communities by proposing a model based on convex game theory and a measure of community strength. Many existing community detection methods fail to provide unique solutions, and it remains unclear how ...
Chao Zhao, Ali Al-Bashabsheh, Chung Chan
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Test Suite Reduction via Submodular Function Maximization [PDF]
Jisuanji kexue, 2021 As regression testing size and cost increase,test suite reduction becomes more important to promote its efficiency.Du-ring the selection of test suite subset,we are supposed to consider the representativeness and diversity of subset,and apply an ...
WEN Jin, ZHANG Xing-yu, SHA Chao-feng, LIU Yan-jun
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k-Submodular Maximization with a Knapsack Constraint and p Matroid Constraints
Tsinghua Science and Technology, 2023 A k-submodular function is a generalization of a submodular function, its definition domain is extended from the collection of single subsets to the collection of k disjoint subsets. The k-submodular maximization problem has a wide range of applications.
Qian Liu, Kemin Yu, Min Li, Yang Zhou
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Regularized Submodular Maximization With a
IEEE Access, 2023 With the development of the Internet and the emergence of various social-media platforms, designing approximation algorithms for optimization problems such as the influence maximization in social networks has received widespread attention.
Qingqin Nong, Zhijia Guo, Suning Gong
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Misinformation Correction Maximization Problem with Edge Addition in Social Networks [PDF]
Jisuanji kexue, 2022 The popularity of online social networks such as Wechat has aroused people’s more attention to information diffusion.The spread of misinformation in social networks may lead to serious consequences,such as economic losses and public panic.Therefore ...
SONG Xin-yue, SHUAI Tian-ping, CHEN Bin
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Some Results about the Contractions and the Pendant Pairs of a Submodular System [PDF]
Sahand Communications in Mathematical Analysis, 2019 Submodularity is an important property of set functions with deep theoretical results and various applications. Submodular systems appear in many applicable area, for example machine learning, economics, computer vision, social science, game theory ...
Saeid Hanifehnezhad, Ardeshir Dolati
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Branch and price for submodular bin packing
EURO Journal on Computational Optimization, 2023 The Submodular Bin Packing (SMBP) problem asks for packing unsplittable items into a minimal number of bins for which the capacity utilization function is submodular.
Liding Xu +3 more
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