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We study the problem of selecting a subset of k random variables from a large set, in order to obtain the best linear prediction of another variable of interest. This problem can be viewed in the context of both feature selection and sparse…

Machine Learning · Statistics 2011-02-28 Abhimanyu Das , David Kempe

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

Meta-Learning has gained increasing attention in the machine learning and artificial intelligence communities. In this paper, we introduce and study an adaptive submodular meta-learning problem. The input of our problem is a set of items,…

Machine Learning · Computer Science 2021-03-26 Shaojie Tang , Jing Yuan

In a model of network communication based on a random walk in an undirected graph, what subset of nodes (subject to constraints on the set size), enables the fastest spread of information? In this paper, we assume the dynamics of spread is…

Discrete Mathematics · Computer Science 2017-04-11 F. Y. Hunt

We study a linear quadratic regulation problem with a constraint where the control input can be nonzero only at a limited number of times. Given that this constraint leads to a combinational optimization problem, we adopt a greedy method to…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Shumpei Nishida , Kunihisa Okano

We study a problem of optimal information gathering from multiple data providers that need to be incentivized to provide accurate information. This problem arises in many real world applications that rely on crowdsourced data sets, but…

Computer Science and Game Theory · Computer Science 2017-11-27 Goran Radanovic , Adish Singla , Andreas Krause , Boi Faltings

Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

Optimization and Control · Mathematics 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

We study a fundamental problem in Bayesian learning, where the goal is to select a set of data sources with minimum cost while achieving a certain learning performance based on the data streams provided by the selected data sources. First,…

Machine Learning · Computer Science 2021-05-04 Lintao Ye , Aritra Mitra , Shreyas Sundaram

We consider the problem of selecting an optimal subset of information sources for a hypothesis testing/classification task where the goal is to identify the true state of the world from a finite set of hypotheses, based on finite…

Machine Learning · Statistics 2024-07-01 Jayanth Bhargav , Mahsa Ghasemi , Shreyas Sundaram

We consider how to connect a set of disjoint networks to optimize the performance of the resulting composite network. We quantify this performance by the coherence of the composite network, which is defined by an $H_2$ norm of the system.…

Optimization and Control · Mathematics 2017-04-11 Erika Mackin , Stacy Patterson

A common approach to controlling complex networks is to directly control a subset of input nodes, which then controls the remaining nodes via network interactions. While techniques have been proposed for selecting input nodes based on…

Optimization and Control · Mathematics 2014-12-15 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Finding the optimal subset of individuals to observe in order to obtain the best estimate of the average opinion of a society is a crucial problem in a wide range of applications, including policy-making, strategic business decisions, and…

Optimization and Control · Mathematics 2025-11-04 Roberta Raineri , Giacomo Como , Fabio Fagnani

In this paper, we propose a unified framework and an algorithm for the problem of group recommendation where a fixed number of items or alternatives can be recommended to a group of users. The problem of group recommendation arises…

Information Retrieval · Computer Science 2017-12-27 Shameem A Puthiya Parambath , Nishant Vijayakumar , Sanjay Chawla

In this paper, we study stochastic submodular maximization problems with general matroid constraints, that naturally arise in online learning, team formation, facility location, influence maximization, active learning and sensing objective…

Machine Learning · Computer Science 2023-03-20 Gözde Özcan , Stratis Ioannidis

In this paper, we study the \underline{R}obust \underline{o}ptimization for \underline{se}quence \underline{Net}worked \underline{s}ubmodular maximization (RoseNets) problem. We interweave the robust optimization with the sequence networked…

Artificial Intelligence · Computer Science 2023-01-27 Qihao Shi , Bingyang Fu , Can Wang , Jiawei Chen , Sheng Zhou , Yan Feng , Chun Chen

We consider the maximization of a submodular objective function $f:2^U\to\mathbb{R}_{\geq 0}$, where the objective $f$ is not accessed as a value oracle but instead subject to noisy queries. We introduce a versatile adaptive sampling…

Data Structures and Algorithms · Computer Science 2024-04-11 Wenjing Chen , Shuo Xing , Victoria G. Crawford

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

The problem of column subset selection has recently attracted a large body of research, with feature selection serving as one obvious and important application. Among the techniques that have been applied to solve this problem, the greedy…

Data Structures and Algorithms · Computer Science 2021-11-16 Jason Altschuler , Aditya Bhaskara , Gang Fu , Vahab Mirrokni , Afshin Rostamizadeh , Morteza Zadimoghaddam

The problem of consensus in the presence of adversarially behaving agents has been studied extensively in the literature. The proposed algorithms typically guarantee that the consensus value lies within the convex hull of initial normal…

Systems and Control · Electrical Eng. & Systems 2019-06-20 James Usevitch , Dimitra Panagou

We study the problem of scheduling sensors in a resource-constrained linear dynamical system, where the objective is to select a small subset of sensors from a large network to perform the state estimation task. We formulate this problem as…

Systems and Control · Computer Science 2018-04-05 Abolfazl Hashemi , Mahsa Ghasemi , Haris Vikalo , Ufuk Topcu