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With the extensive application of submodularity, its generalizations are constantly being proposed. However, most of them are tailored for special problems. In this paper, we focus on quasi-submodularity, a universal generalization, which…

数据结构与算法 · 计算机科学 2014-11-14 Jincheng Mei , Kang Zhao , Bao-Liang Lu

Concomitant with the tremendous prevalence of online social media platforms, the interactions among individuals are unprecedentedly enhanced. People are free to interact with acquaintances, express and exchange their own opinions through…

社会与信息网络 · 计算机科学 2023-01-16 Liwang Zhu , Zhongzhi Zhang

We study the problem of distributed state estimation in a network of sensing units that can exchange their measurements but the rate of communication between the units is constrained. The units collect noisy, possibly only partial…

信号处理 · 电气工程与系统科学 2018-07-23 Abolfazl Hashemi , Osman Fatih Kilic , Haris Vikalo

We consider a variant of the prize collecting Steiner tree problem in which we are given a \emph{directed graph} $D=(V,A)$, a monotone submodular prize function $p:2^V \rightarrow \mathbb{R}^+ \cup \{0\}$, a cost function $c:V \rightarrow…

数据结构与算法 · 计算机科学 2022-10-04 Gianlorenzo D'Angelo , Esmaeil Delfaraz , Hugo Gilbert

We study partial and budgeted versions of the well studied connected dominating set problem. In the partial connected dominating set problem, we are given an undirected graph G = (V,E) and an integer n', and the goal is to find a minimum…

数据结构与算法 · 计算机科学 2013-11-12 Samir Khuller , Manish Purohit , Kanthi Sarpatwar

In this work, we treat the problem of multi-task submodular optimization from the perspective of local distributional robustness within the neighborhood of a reference distribution which assigns an importance score to each task. We…

机器学习 · 计算机科学 2026-03-06 Ege C. Kaya , Abolfazl Hashemi

An overview of different variants of the submodular welfare maximization problem in combinatorial auctions. In particular, I studied the existing algorithmic and game theoretic results for submodular welfare maximization problem and its…

计算机科学与博弈论 · 计算机科学 2013-11-25 Samira Samadi

Many sequential decision making problems, including pool-based active learning and adaptive viral marketing, can be formulated as an adaptive submodular maximization problem. Most of existing studies on adaptive submodular optimization…

机器学习 · 计算机科学 2022-12-13 Shaojie Tang , Jing Yuan

In this work we present the first practical $\left(\frac{1}{e}-\epsilon\right)$-approximation algorithm to maximise a general non-negative submodular function subject to a matroid constraint. Our algorithm is based on combining the…

数据结构与算法 · 计算机科学 2017-03-22 Pau Segui-Gasco , Hyo-Sang Shin

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds, formally referred to as the influence maximization problem. It admits a $(1-1/e)$-factor approximation algorithm…

社会与信息网络 · 计算机科学 2022-06-15 Grant Schoenebeck , Biaoshuai Tao

In this paper, we study the problem of maximizing $k$-submodular functions subject to a knapsack constraint. For monotone objective functions, we present a $\frac{1}{2}(1-e^{-2})\approx 0.432$ greedy approximation algorithm. For the…

数据结构与算法 · 计算机科学 2023-09-18 Hao Xiao , Qian Liu , Yang Zhou , Min Li

The classical problem of maximizing a submodular function under a matroid constraint is considered. Defining a new measure for the increments made by the greedy algorithm at each step, called the discriminant, improved approximation ratio…

数据结构与算法 · 计算机科学 2018-10-31 Nived Rajaraman , Rahul Vaze

We consider a class of submodular maximization problems in which decision-makers have limited access to the objective function. We explore scenarios where the decision-maker can observe only pairwise information, i.e., can evaluate the…

数据结构与算法 · 计算机科学 2022-02-09 Andrew Downie , Bahman Gharesifard , Stephen L. Smith

Incentivized social advertising, an emerging marketing model, provides monetization opportunities not only to the owners of the social networking platforms but also to their influential users by offering a "cut" on the advertising revenue.…

社会与信息网络 · 计算机科学 2021-06-23 Cigdem Aslay , Francesco Bonchi , Laks V. S. Lakshmanan , Wei Lu

This paper examines the problem of adaptive influence maximization in social networks. As adaptive decision making is a time-critical task, a realistic feedback model has been considered, called myopic. In this direction, we propose the…

社会与信息网络 · 计算机科学 2018-07-09 Guillaume Salha , Nikolaos Tziortziotis , Michalis Vazirgiannis

Motivated by practical applications, recent works have considered maximization of sums of a submodular function $g$ and a linear function $\ell$. Almost all such works, to date, studied only the special case of this problem in which $g$ is…

数据结构与算法 · 计算机科学 2022-04-08 Kobi Bodek , Moran Feldman

Online social networks have been one of the most effective platforms for marketing and advertising. Through "word of mouth" effects, information or product adoption could spread from some influential individuals to millions of users in…

社会与信息网络 · 计算机科学 2023-05-17 Tiantian Chen , Bin Liu , Wenjing Liu , Qizhi Fang , Jing Yuan , Weili Wu

Given a social network represented as a graph where the nodes are the users and the edges represent the social relations, and a positive integer k, how to select k nodes to maximize the influence in the network remains an active area of…

社会与信息网络 · 计算机科学 2026-05-29 Poonam Sharma , Sanchit Virdi , Suman Banerjee

We consider the problem of maximizing a submodular function with access to a noisy value oracle for the function instead of an exact value oracle. Similar to prior work, we assume that the noisy oracle is persistent in that multiple calls…

数据结构与算法 · 计算机科学 2026-01-01 Kshipra Bhawalkar , Yang Cai , Zhe Feng , Christopher Liaw , Tao Lin

We consider a class of discrete optimization problems that aim to maximize a submodular objective function subject to a distributed partition matroid constraint. More precisely, we consider a networked scenario in which multiple agents…

最优化与控制 · 数学 2020-11-19 Alexander Robey , Arman Adibi , Brent Schlotfeldt , George J. Pappas , Hamed Hassani