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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…

Optimization and Control · Mathematics 2020-09-29 Lintao Ye , Shreyas Sundaram

Stochastic optimization of continuous objectives is at the heart of modern machine learning. However, many important problems are of discrete nature and often involve submodular objectives. We seek to unleash the power of stochastic…

Machine Learning · Computer Science 2017-11-07 Mohammad Reza Karimi , Mario Lucic , Hamed Hassani , Andreas Krause

Sparsity learning with known grouping structure has received considerable attention due to wide modern applications in high-dimensional data analysis. Although advantages of using group information have been well-studied by shrinkage-based…

Machine Learning · Statistics 2018-09-28 Wei Qian , Wending Li , Yasuhiro Sogawa , Ryohei Fujimaki , Xitong Yang , Ji Liu

Deep active learning aims to reduce the annotation cost for the training of deep models, which is notoriously data-hungry. Until recently, deep active learning methods were ineffectual in the low-budget regime, where only a small number of…

Machine Learning · Computer Science 2023-12-29 Ofer Yehuda , Avihu Dekel , Guy Hacohen , Daphna Weinshall

Social networks, due to their popularity, have been studied extensively these years. A rich body of these studies is related to influence maximization, which aims to select a set of seed nodes for maximizing the expected number of active…

Social and Information Networks · Computer Science 2015-10-14 Zhefeng Wang , Enhong Chen , Qi Liu , Yu Yang , Yong Ge , Biao Chang

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

Machine Learning · Computer Science 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

To cope with the high level of ambiguity faced in domains such as Computer Vision or Natural Language processing, robust prediction methods often search for a diverse set of high-quality candidate solutions or proposals. In structured…

Machine Learning · Computer Science 2014-11-10 Adarsh Prasad , Stefanie Jegelka , Dhruv Batra

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…

Social and Information Networks · Computer Science 2018-07-09 Guillaume Salha , Nikolaos Tziortziotis , Michalis Vazirgiannis

We consider the problem of solving the Min-Sum Submodular Cover problem using local search. The Min-Sum Submodular Cover problem generalizes the NP-complete Min-Sum Set Cover problem, replacing the input set cover instance with a monotone…

Data Structures and Algorithms · Computer Science 2023-12-05 Lisa Hellerstein , Thomas Lidbetter , R. Teal Witter

We consider active, semi-supervised learning in an offline transductive setting. We show that a previously proposed error bound for active learning on undirected weighted graphs can be generalized by replacing graph cut with an arbitrary…

Machine Learning · Computer Science 2012-02-20 Andrew Guillory , Jeff A. Bilmes

Submodular optimization plays a key role in many real-world problems. In many real-world scenarios, it is also necessary to handle uncertainty, and potentially disruptive events that violate constraints in stochastic settings need to be…

Machine Learning · Computer Science 2019-11-27 Benjamin Doerr , Carola Doerr , Aneta Neumann , Frank Neumann , Andrew M. Sutton

In the classical selection problem, the input consists of a collection of elements and the goal is to pick a subset of elements from the collection such that some objective function $f$ is maximized. This problem has been studied…

Data Structures and Algorithms · Computer Science 2021-09-06 Sofia Maria Nikolakaki , Alina Ene , Evimaria Terzi

Dense subgraph discovery is a fundamental primitive in graph and hypergraph analysis which among other applications has been used for real-time story detection on social media and improving access to data stores of social networking…

Data Structures and Algorithms · Computer Science 2024-02-23 Yufan Huang , David F. Gleich , Nate Veldt

We study a general stochastic ranking problem where an algorithm needs to adaptively select a sequence of elements so as to "cover" a random scenario (drawn from a known distribution) at minimum expected cost. The coverage of each scenario…

Data Structures and Algorithms · Computer Science 2019-02-06 Fatemeh Navidi , Prabhanjan Kambadur , Viswanath Nagarajan

A flaw in the greedy approximation algorithm proposed by Zhang et al. for minimum connected set cover problem is corrected, and a stronger result on the approximation ratio of the modified greedy algorithm is established. The results are…

Data Structures and Algorithms · Computer Science 2015-03-19 Wei Ren , Qing Zhao

Submodularity is a key property in discrete optimization. Submodularity has been widely used for analyzing the greedy algorithm to give performance bounds and providing insight into the construction of valid inequalities for mixed-integer…

Optimization and Control · Mathematics 2022-05-24 Temitayo Ajayi , Taewoo Lee , Andrew Schaefer

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.…

Social and Information Networks · Computer Science 2021-06-23 Cigdem Aslay , Francesco Bonchi , Laks V. S. Lakshmanan , Wei Lu

We consider a class of distributed submodular maximization problems in which each agent must choose a single strategy from its strategy set. The global objective is to maximize a submodular function of the strategies chosen by each agent.…

Data Structures and Algorithms · Computer Science 2017-06-14 Bahman Gharesifard , Stephen L. Smith

In this work, we study the Submodular Cost Submodular Cover problem, which is to minimize the submodular cost required to ensure that the submodular benefit function exceeds a given threshold. Existing approximation ratios for the greedy…

Data Structures and Algorithms · Computer Science 2019-08-05 Victoria G. Crawford , Alan Kuhnle , My T. Thai

Submodular function maximization finds application in a variety of real-world decision-making problems. However, most existing methods, based on greedy maximization, assume it is computationally feasible to evaluate F, the function being…

Artificial Intelligence · Computer Science 2020-08-11 Yash Satsangi , Shimon Whiteson , Frans A. Oliehoek