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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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Submodular function minimization and polarity [PDF]
Mathematical Programming, 2021 Using polarity, we give an outer polyhedral approximation for the epigraph of set functions. For a submodular function, we prove that the corresponding polar relaxation is exact; hence, it is equivalent to the Lovász extension. The polar approach provides an alternative proof for the convex hull description of the epigraph of a submodular function ...
Alper Atamtürk, Vishnu Narayanan
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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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Learning submodular functions [PDF]
Proceedings of the forty-third annual ACM symposium on Theory of computing, 2011 There has been much interest in the machine learning and algorithmic game theory communities on understanding and using submodular functions. Despite this substantial interest, little is known about their learnability from data. Motivated by applications, such as pricing goods in economics, this paper considers PAC-style learning of submodular ...
Balcan, Maria-Florina +1 more
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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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Constrained Path Search with Submodular Function Maximization [PDF]
, 2022 In this paper, we study the problem of constrained path search with submodular function maximization (CPS-SM). We aim to find the path with the best submodular function score under a given constraint (e.g., a length limit), where the submodular function ...
Fang, Yixiang +6 more
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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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Distributed Maximization of Submodular and Approximately Submodular Functions [PDF]
2020 59th IEEE Conference on Decision and Control (CDC), 2020 We study the problem of maximizing a submodular function, subject to a cardinality constraint, with a set of agents communicating over a connected graph. We propose a distributed greedy algorithm that allows all the agents to converge to a near-optimal solution to the global maximization problem using only local information and communication with ...
Lintao Ye, Shreyas Sundaram
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Fast Submodular Function Maximization [PDF]
, 2023 Submodular functions have many real-world applications, such as document summarization, sensor placement, and image segmentation. For all these applications, the key building block is how to compute the maximum value of a submodular function efficiently.
Song, Zhao, Wang, Yitan, Qin, Lianke
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