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This paper describes a simple greedy D-approximation algorithm for any covering problem whose objective function is submodular and non-decreasing, and whose feasible region can be expressed as the intersection of arbitrary (closed upwards)…

数据结构与算法 · 计算机科学 2015-06-02 Christos Koufogiannakis , Neal E. Young

The goal of a sequential decision making problem is to design an interactive policy that adaptively selects a group of items, each selection is based on the feedback from the past, in order to maximize the expected utility of selected…

数据结构与算法 · 计算机科学 2022-09-13 Shaojie Tang

Consider the following online version of the submodular maximization problem under a matroid constraint: We are given a set of elements over which a matroid is defined. The goal is to incrementally choose a subset that remains independent…

数据结构与算法 · 计算机科学 2012-05-08 Niv Buchbinder , Joseph , Naor , R. Ravi , Mohit Singh

We propose subsampling as a unified algorithmic technique for submodular maximization in centralized and online settings. The idea is simple: independently sample elements from the ground set, and use simple combinatorial techniques (such…

数据结构与算法 · 计算机科学 2021-04-08 Christopher Harshaw , Ehsan Kazemi , Moran Feldman , Amin Karbasi

Influence maximization (IM) aims to identify a small number of influential individuals to maximize the information spread and finds applications in various fields. It was first introduced in the context of viral marketing, where a company…

社会与信息网络 · 计算机科学 2023-06-06 Shiqi Zhang , Yiqian Huang , Jiachen Sun , Wenqing Lin , Xiaokui Xiao , Bo Tang

Submodular maximization generalizes many fundamental problems in discrete optimization, including Max-Cut in directed/undirected graphs, maximum coverage, maximum facility location and marketing over social networks. In this paper we…

数据结构与算法 · 计算机科学 2011-01-18 Ariel Kulik , Hadas Shachnai , Tami Tamir

Constrained submodular maximization problems have long been studied, with near-optimal results known under a variety of constraints when the submodular function is monotone. The case of non-monotone submodular maximization is less…

数据结构与算法 · 计算机科学 2010-10-07 Anupam Gupta , Aaron Roth , Grant Schoenebeck , Kunal Talwar

This paper addresses the task allocation problem for multi-robot systems. The main issue with the task allocation problem is inherent complexity that makes finding an optimal solution within a reasonable time almost impossible. To hand the…

多智能体系统 · 计算机科学 2019-01-11 Hyo-Sang Shin , Teng Li , Pau Segui-Gasco

We consider the maximization problem of monotone submodular functions under an uncertain knapsack constraint. Specifically, the problem is discussed in the situation that the knapsack capacity is not given explicitly and can be accessed…

数据结构与算法 · 计算机科学 2018-03-08 Yasushi Kawase , Hanna Sumita , Takuro Fukunaga

A fundamental component of the game theoretic approach to distributed control is the design of local utility functions.Relative to resource allocation problems that are additive over the resources, Part I showed how to design local…

计算机科学与博弈论 · 计算机科学 2021-01-14 Dario Paccagnan , Jason R. Marden

In this paper, we study the classic submodular maximization problem subject to a group equality constraint under both non-adaptive and adaptive settings. It has been shown that the utility function of many machine learning applications,…

机器学习 · 计算机科学 2023-08-30 Shaojie Tang , Jing Yuan

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

数据结构与算法 · 计算机科学 2022-09-05 Marten Maack

We consider fundamental scheduling problems motivated by energy issues. In this framework, we are given a set of jobs, each with a release time, deadline and required processing length. The jobs need to be scheduled on a machine so that at…

数据结构与算法 · 计算机科学 2016-10-27 Jessica Chang , Samir Khuller , Koyel Mukherjee

We study a cache network in which intermediate nodes equipped with caches can serve requests. We model the problem of jointly optimizing caching and routing decisions with link capacity constraints over an arbitrary network topology. This…

网络与互联网体系结构 · 计算机科学 2023-02-07 Yuanyuan Li , Yuchao Zhang , Stratis Ioannidis , Jon Crowcroft

Adaptive submodularity is a fundamental concept in stochastic optimization, with numerous applications such as sensor placement, hypothesis identification and viral marketing. We consider the problem of minimum cost cover of…

数据结构与算法 · 计算机科学 2024-05-24 Hessa Al-Thani , Yubing Cui , Viswanath Nagarajan

We consider the classical problem of maximizing a monotone submodular function subject to a cardinality constraint, which, due to its numerous applications, has recently been studied in various computational models. We consider a clean…

数据结构与算法 · 计算机科学 2020-03-31 Moran Feldman , Ashkan Norouzi-Fard , Ola Svensson , Rico Zenklusen

With the rapid development of crowdsourcing platforms that aggregate the intelligence of Internet workers, crowdsourcing has been widely utilized to address problems that require human cognitive abilities. Considering great dynamics of…

数据库 · 计算机科学 2018-06-05 Jiayang Tu , Peng Cheng , Lei Chen

This paper develops an optimization framework for self-organizing networks (SON). The objective is to ensure efficient network operation by a joint optimization of different SON functionalities, which includes capacity, coverage and load…

信息论 · 计算机科学 2016-07-19 Qi Liao , Daniyal Amir Awan , Slawomir Stanczak

Given a collection of monotone submodular functions, the goal of Two-Stage Submodular Maximization (2SSM) [Balkanski et al., 2016] is to restrict the ground set so an objective selected u.a.r. from the collection attains a high maximal…

数据结构与算法 · 计算机科学 2025-10-23 Iasonas Nikolaou , Miltiadis Stouras , Stratis Ioannidis , Evimaria Terzi

CMO Council reports that 71\% of internet users in the U.S. were influenced by coupons and discounts when making their purchase decisions. It has also been shown that offering coupons to a small fraction of users (called seed users) may…

社会与信息网络 · 计算机科学 2018-02-23 Shaojie Tang