Online learning for non-monotone DR-submodular maximization: From full information to bandit feedback

Q Zhang, Z Deng, Z Chen, K Zhou… - International …, 2023 - proceedings.mlr.press
In this paper, we revisit the online non-monotone continuous DR-submodular maximization
problem over a down-closed convex set, which finds wide real-world applications in the …

An inexact conditional gradient method for constrained bilevel optimization

N Abolfazli, R Jiang, A Mokhtari… - arXiv preprint arXiv …, 2023 - arxiv.org
Bilevel optimization is an important class of optimization problems where one optimization
problem is nested within another. While various methods have emerged to address …

Large-scale nonconvex optimization: randomization, gap estimation, and numerical resolution

JF Bonnans, K Liu, N Oudjane, L Pfeiffer, C Wan - SIAM Journal on …, 2023 - SIAM
We address a large-scale and nonconvex optimization problem, involving an aggregative
term. This term can be interpreted as the sum of the contributions of agents to some common …

Zero-order stochastic conditional gradient sliding method for non-smooth convex optimization

A Lobanov, A Anikin, A Gasnikov, A Gornov… - … Optimization Theory and …, 2023 - Springer
The conditional gradient idea proposed by Marguerite Frank and Philip Wolfe in 1956 was
so well received by the community that new algorithms (also called Frank–Wolfe type …

Sequential submodular maximization and applications to ranking an assortment of products

A Asadpour, R Niazadeh, A Saberi… - Operations …, 2023 - pubsonline.informs.org
We study a submodular maximization problem motivated by applications in online retail. A
platform displays a list of products to a user in response to a search query. The user inspects …

Distributed strategy selection: A submodular set function maximization approach

N Rezazadeh, SS Kia - Automatica, 2023 - Elsevier
Joint utility-maximization problems for multi-agent systems often should be addressed by
distributed strategy-selection formulation. Constrained by discrete feasible strategy sets …

Sarah frank-wolfe: Methods for constrained optimization with best rates and practical features

A Beznosikov, D Dobre, G Gidel - arXiv preprint arXiv:2304.11737, 2023 - arxiv.org
The Frank-Wolfe (FW) method is a popular approach for solving optimization problems with
structured constraints that arise in machine learning applications. In recent years, stochastic …

Communication-efficient decentralized online continuous dr-submodular maximization

Q Zhang, Z Deng, X Jian, Z Chen, H Hu… - Proceedings of the 32nd …, 2023 - dl.acm.org
Maximizing a monotone submodular function is a fundamental task in data mining, machine
learning, economics, and statistics. In this paper, we present two communication-efficient …

Decentralized stochastic projection-free learning with compressed push-sum

R Francis, SP Chepuri - 2023 IEEE 33rd International Workshop …, 2023 - ieeexplore.ieee.org
We consider decentralized stochastic learning methods with data being distributed among
multiple nodes. The nodes communicate gradients with their connected neighbors. To …

Stochastic submodular maximization via polynomial estimators

G Özcan, S Ioannidis - Pacific-Asia Conference on Knowledge Discovery …, 2023 - Springer
In this paper, we study stochastic submodular maximization problems with general matroid
constraints, which naturally arise in online learning, team formation, facility location …