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We present a new approach for computing approximate global minimizers to a large class of non-local pairwise interaction problems defined over probability distributions. The approach predicts candidate global minimizers, with a recovery…

Numerical Analysis · Mathematics 2017-10-04 Mahdi Bandegi , David Shirokoff

Given a social network with diffusion probabilities as edge weights and an integer k, which k nodes should be chosen for initial injection of information to maximize influence in the network? This problem is known as Target Set Selection in…

Social and Information Networks · Computer Science 2018-08-17 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the…

Social and Information Networks · Computer Science 2019-01-23 Justin Khim , Varun Jog , Po-Ling Loh

The problem of selecting an optimal seed set to maximise influence in networks has been a subject of intense research in recent years. However, despite numerous works addressing this area, it remains a topic that requires further…

Social and Information Networks · Computer Science 2025-04-16 Michał Czuba , Piotr Bródka

All the existing real world networks are evolving, hence, study of traffic dynamics in these enlarged networks is a challenging task. The critical issue is to optimize the network structure to improve network capacity and avoid traffic…

Networking and Internet Architecture · Computer Science 2018-11-19 Suchi Kumari , Anurag Singh

Social networks represent nowadays in many contexts the main source of information transmission and the way opinions and actions are influenced. For instance, generic advertisements are way less powerful than suggestions from our contacts.…

Neural and Evolutionary Computing · Computer Science 2021-05-03 Kateryna Konotopska , Giovanni Iacca

The information flows among the people while they communicate through social media websites. Due to the dependency on digital media, a person shares important information or regular updates with friends and family. The set of persons on…

Social and Information Networks · Computer Science 2024-06-14 Rahul Kumar Gautam , Anjeneya Swami Kare , Durga Bhavani S

The Influence Maximization problem under the Independent Cascade model (IC) is considered. The problem asks for a minimal set of vertices to serve as "seed set" from which a maximum influence propagation is expected. New seed-set selection…

Social and Information Networks · Computer Science 2024-01-02 Faisal N. Abu-Khzam , Ghinwa Bou Matar , Sergio Thoumi

Influence propagation has been the subject of extensive study due to its important role in social networks, epidemiology, and many other areas. Understanding propagation mechanisms is critical to control the spread of fake news or…

Optimization and Control · Mathematics 2022-09-28 Vinicius Ferreira , Artur Pessoa , Thibaut Vidal

This paper proposes a multi-scale method to design a continuous-time distributed algorithm for constrained convex optimization problems by using multi-agents with Markov switched network dynamics and noisy inter-agent communications. Unlike…

Optimization and Control · Mathematics 2021-03-02 Wei Ni , Xiaoli Wang

In the network activation problem, each edge in a graph is associated with an activation function, that decides whether the edge is activated from node-weights assigned to its end-nodes. The feasible solutions of the problem are the…

Data Structures and Algorithms · Computer Science 2014-09-29 Takuro Fukunaga

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

This paper presents computationally feasible rank-one relaxation algorithms for the efficient simulation of a time-incremental damage model with nonconvex incremental stress potentials in multiple spatial dimensions. While the standard…

Computational Engineering, Finance, and Science · Computer Science 2023-02-10 Daniel Balzani , Maximilian Köhler , Timo Neumeier , Malte A. Peter , Daniel Peterseim

Given a complex high-dimensional distribution over $\{\pm 1\}^n$, what is the best way to increase the expected number of $+1$'s by controlling the values of only a small number of variables? Such a problem is known as influence…

Data Structures and Algorithms · Computer Science 2024-01-05 Zongchen Chen , Elchanan Mossel

The optimal power flow (OPF) problem determines power generation/demand that minimize a certain objective such as generation cost or power loss. It is nonconvex. We prove that, for radial networks, after shrinking its feasible set slightly,…

Optimization and Control · Mathematics 2016-11-18 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

We propose convex relaxations for convolutional neural nets with one hidden layer where the output weights are fixed. For convex activation functions such as rectified linear units, the relaxations are convex second order cone programs…

Machine Learning · Computer Science 2019-01-03 Burak Bartan , Mert Pilanci

Many neural network (NN) verification systems represent the network's input-output relation as a constraint program. Sound and complete, representations involve integer constraints, for simulating the activations. Recent works convexly…

Machine Learning · Computer Science 2026-04-22 Merkouris Papamichail , Konstantinos Varsos , Giorgos Flouris , João Marques-Silva

A serious challenge when finding influential actors in real-world social networks is the lack of knowledge about the structure of the underlying network. Current state-of-the-art methods rely on hand-crafted sampling algorithms; these…

Social and Information Networks · Computer Science 2020-02-21 Harshavardhan Kamarthi , Priyesh Vijayan , Bryan Wilder , Balaraman Ravindran , Milind Tambe

Training a classifier under non-convex constraints has gotten increasing attention in the machine learning community thanks to its wide range of applications such as algorithmic fairness and class-imbalanced classification. However, several…

Machine Learning · Statistics 2022-10-31 You-Lin Chen , Zhaoran Wang , Mladen Kolar

We propose a distributed, cubic-regularized Newton method for large-scale convex optimization over networks. The proposed method requires only local computations and communications and is suitable for federated learning applications over…

Optimization and Control · Mathematics 2020-07-08 César A. Uribe , Ali Jadbabaie