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We consider an $n$ agents distributed optimization problem with imperfect information characterized in a parametric sense, where the unknown parameter can be solved by a distinct distributed parameter learning problem. Though each agent…

Optimization and Control · Mathematics 2024-04-23 Yaqun Yang , Jinlong Lei

A premise at a heart of network analysis is that entities in a network derive utilities from their connections. The {\em influence} of a seed set $S$ of nodes is defined as the sum over nodes $u$ of the {\em utility} of $S$ to $u$. {\em…

Social and Information Networks · Computer Science 2016-02-02 Edith Cohen , Daniel Delling , Thomas Pajor , Renato F. Werneck

Boosted decision trees enjoy popularity in a variety of applications; however, for large-scale datasets, the cost of training a decision tree in each round can be prohibitively expensive. Inspired by ideas from the multi-arm bandit…

Machine Learning · Computer Science 2018-05-22 Maryam Aziz , Jesse Anderton , Javed Aslam

Sensor placement optimization methods have been studied extensively. They can be applied to a wide range of applications, including surveillance of known environments, optimal locations for 5G towers, and placement of missile defense…

Machine Learning · Computer Science 2024-05-22 Lukas Taus , Yen-Hsi Richard Tsai

Seeding strategies for influence maximization in social networks have been studied for more than a decade. They have mainly relied on the activation of all resources (seeds) simultaneously in the beginning; yet, it has been shown that…

Social and Information Networks · Computer Science 2017-09-15 Jarosław Jankowski , Piotr Bródka , Radosław Michalski , Przemysław Kazienko

In this paper, we address the distributed optimization problem over unidirectional networks with possibly time-invariant heterogeneous bounded transmission delays. In particular, we propose a modified version of the Accelerated Distributed…

We consider a distributed convex optimization problem in a network which is time-varying and not always strongly connected. The local cost function of each node is affected by some stochastic process. All nodes of the network collaborate to…

Optimization and Control · Mathematics 2021-05-27 Wenjie Li , Mohamad Assaad

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

In the influence maximization (IM) problem, we are given a social network and a budget $k$, and we look for a set of $k$ nodes in the network, called seeds, that maximize the expected number of nodes that are reached by an influence cascade…

Social and Information Networks · Computer Science 2021-05-11 Gianlorenzo D'Angelo , Debashmita Poddar , Cosimo Vinci

Network intervention problems often benefit from selecting a highly-connected node to perform interventions using these nodes, e.g. immunization. However, in many network contexts, the structure of network connections is unknown, leading to…

Social and Information Networks · Computer Science 2021-05-20 Vineet Kumar , David Krackhardt , Scott Feld

Information exchange over networks can be affected by various forms of delay. This causes challenges for using the network by a multi-agent system to solve a distributed optimisation problem. Distributed optimisation schemes, however,…

Optimization and Control · Mathematics 2021-05-25 Adrian Redder , Arunselvan Ramaswamy , Holger Karl

The depth of networks plays a crucial role in the effectiveness of deep learning. However, the memory requirement for backpropagation scales linearly with the number of layers, which leads to memory bottlenecks during training. Moreover,…

Numerical Analysis · Mathematics 2025-02-20 Sofya Maslovskaya , Sina Ober-Blöbaum , Christian Offen , Pranav Singh , Boris Wembe

A fundamental open problem in learning theory is to characterize the best-case teaching dimension $\operatorname{TS}_{\min}$ of a concept class $\mathcal{C}$ with finite VC dimension $d$. Resolving this problem will, in particular, settle…

Machine Learning · Statistics 2025-05-07 Spencer Compton , Chirag Pabbaraju , Nikita Zhivotovskiy

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

We study cascades under the threshold model on sparse random graphs with community structure. In this model, individuals adopt the new behavior based on how many neighbors have already chosen it. Specifically, we consider the permanent…

Probability · Mathematics 2022-05-05 Mehrdad Moharrami , Vijay Subramanian , Mingyan Liu , Marc Lelarge

We consider the Threshold Activation Problem (TAP): given social network $G$ and positive threshold $T$, find a minimum-size seed set $A$ that can trigger expected activation of at least $T$. We introduce the first scalable, parallelizable…

Social and Information Networks · Computer Science 2017-02-01 Alan Kuhnle , Tianyi Pan , Md Abdul Alim , My T. Thai

We study the Stochastic Shortest Path (SSP) problem with a linear mixture transition kernel, where an agent repeatedly interacts with a stochastic environment and seeks to reach certain goal state while minimizing the cumulative cost.…

Machine Learning · Computer Science 2024-02-15 Qiwei Di , Jiafan He , Dongruo Zhou , Quanquan Gu

Recurrent neural network (RNN)'s architecture is a key factor influencing its performance. We propose algorithms to optimize hidden sizes under running time constraint. We convert the discrete optimization into a subset selection problem.…

Machine Learning · Statistics 2018-02-22 Junqi Jin , Ziang Yan , Kun Fu , Nan Jiang , Changshui Zhang

We study the influence minimization problem: given a graph $G$ and a seed set $S$, blocking at most $b$ nodes or $b$ edges such that the influence spread of the seed set is minimized. This is a pivotal yet underexplored aspect of network…

Databases · Computer Science 2024-12-06 Jiadong Xie , Fan Zhang , Kai Wang , Jialu Liu , Xuemin Lin , Wenjie Zhang

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…

Social and Information Networks · Computer Science 2016-06-14 Wei Chen , Tian Lin , Zihan Tan , Mingfei Zhao , Xuren Zhou