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Many high dimensional sparse learning problems are formulated as nonconvex optimization. A popular approach to solve these nonconvex optimization problems is through convex relaxations such as linear and semidefinite programming. In this…

机器学习 · 统计学 2015-03-17 Zhaoran Wang , Quanquan Gu , Han Liu

We consider the densest submatrix problem, which seeks the submatrix of fixed size of a given binary matrix that contains the most nonzero entries. This problem is a natural generalization of fundamental problems in combinatorial…

最优化与控制 · 数学 2026-03-13 Valentine Olanubi , Phineas Agar , Brendan Ames

Given a social network $G$ and an integer $k$, the influence maximization (IM) problem asks for a seed set $S$ of $k$ nodes from $G$ to maximize the expected number of nodes influenced via a propagation model. The majority of the existing…

社会与信息网络 · 计算机科学 2020-04-15 Keke Huang , Jing Tang , Kai Han , Xiaokui Xiao , Wei Chen , Aixin Sun , Xueyan Tang , Andrew Lim

In this note we introduce a new model for the mailing problem in branched transportation in order to allow the cost functional to take into account the orientation of the moving particles. This gives an effective answer to [Problem 15.9] of…

偏微分方程分析 · 数学 2020-06-30 Marcello Carioni , Andrea Marchese , Annalisa Massaccesi , Alessandra Pluda , Riccardo Tione

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

数据结构与算法 · 计算机科学 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

Influence maximization is a problem of finding a small set of highly influential users, also known as seeds, in a social network such that the spread of influence under certain propagation models is maximized. In this paper, we consider…

社会与信息网络 · 计算机科学 2015-07-14 Wei Chen , Wei Lu , Ning Zhang

In this paper, we study the problem of robust influence maximization in the independent cascade model under a hyperparametric assumption. In social networks users influence and are influenced by individuals with similar characteristics and…

机器学习 · 计算机科学 2019-05-14 Dimitris Kalimeris , Gal Kaplun , Yaron Singer

Online influence maximization aims to maximize the influence spread of a content in a social network with unknown network model by selecting a few seed nodes. Recent studies followed a non-adaptive setting, where the seed nodes are selected…

机器学习 · 计算机科学 2022-07-01 Kaixuan Huang , Yu Wu , Xuezhou Zhang , Shenyinying Tu , Qingyun Wu , Mengdi Wang , Huazheng Wang

We address the sensor network localization problem given noisy range measurements between pairs of nodes. We approach the non-convex maximum-likelihood formulation via a known simple convex relaxation. We exploit its favorable optimization…

最优化与控制 · 数学 2015-09-30 Cláudia Soares , João Xavier , João Gomes

We consider the problem of identifying the topology of a weighted, undirected network $\mathcal G$ from observing snapshots of multiple independent consensus dynamics. Specifically, we observe the opinion profiles of a group of agents for a…

社会与信息网络 · 计算机科学 2019-02-12 Santiago Segarra , Michael T. Schaub , Ali Jadbabaie

In this paper, we introduce methods from convex optimization to solve the multimarginal transport type problems arise in the context of density functional theory. Convex relaxations are used to provide outer approximation to the set of…

最优化与控制 · 数学 2018-08-15 Yuehaw Khoo , Lexing Ying

Influence maximization in networks is a central problem in machine learning and causal inference, where an intervention on a subset of individuals triggers a diffusion process through the network. Existing approaches typically optimize…

统计方法学 · 统计学 2026-03-13 Renjie Cao , Zhuoxin Yan , Xinyan Su , Zhiheng Zhang

The problem of influence maximization is to select the most influential individuals in a social network. With the popularity of social network sites, and the development of viral marketing, the importance of the problem has been increased.…

社会与信息网络 · 计算机科学 2019-04-30 Maryam Adineh , Mostafa Nouri-Baygi

Selecting the optimal subset from all vertices as seeds to maximize the influence in a social network has been a task of interest. Various methods have been proposed to select the optimal vertices in a static network, however, they are…

社会与信息网络 · 计算机科学 2020-10-22 Fangqi Li , Chong Di , Shenghong Li

Collecting the most informative data from a large dataset distributed over a network is a fundamental problem in many fields, including control, signal processing and machine learning. In this paper, we establish a connection between…

系统与控制 · 电气工程与系统科学 2024-06-05 Xu Zhang , Marcos M. Vasconcelos

In this paper, we study how to shape opinions in social networks when the matrix of interactions is unknown. We consider classical opinion dynamics with some stubborn agents and the possibility of continuously influencing the opinions of a…

社会与信息网络 · 计算机科学 2019-10-22 Vivek Borkar , Alexandre Reiffers-Masson

Information propagation on networks is a central theme in social, behavioral, and economic sciences, with important theoretical and practical implications, such as the influence maximization problem for viral marketing. Here, we consider a…

社会与信息网络 · 计算机科学 2022-09-26 Yu Tian , Renaud Lambiotte

In this paper, we study the optimal convergence rate for distributed convex optimization problems in networks. We model the communication restrictions imposed by the network as a set of affine constraints and provide optimal complexity…

最优化与控制 · 数学 2018-11-16 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

The majority of influence maximization (IM) studies focus on targeting influential seeders to trigger substantial information spread in social networks. In this paper, we consider a new and complementary problem of how to further increase…

社会与信息网络 · 计算机科学 2017-06-27 Yishi Lin , Wei Chen , John C. S. Lui

In this paper, we address the important issue of uncertainty in the edge influence probability estimates for the well studied influence maximization problem --- the task of finding $k$ seed nodes in a social network to maximize the…

社会与信息网络 · 计算机科学 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou