English
Related papers

Related papers: Decomposable Submodular Maximization in Federated …

200 papers

Federated learning is a framework for distributed optimization that places emphasis on communication efficiency. In particular, it follows a client-server broadcast model and is particularly appealing because of its ability to accommodate…

Machine Learning · Computer Science 2022-03-30 Han Wang , Siddartha Marella , James Anderson

Most existing studies on evolutionary multi-objective optimization focus on approximating the whole Pareto-optimal front. Nevertheless, rather than the whole front, which demands for too many points (especially in a high-dimensional space),…

Neural and Evolutionary Computing · Computer Science 2017-01-24 Ke Li , Kalyanmoy Deb , Xin Yao

We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

Data Structures and Algorithms · Computer Science 2013-11-12 Rishabh Iyer , Jeff Bilmes

Submodular function minimization is a fundamental optimization problem that arises in several applications in machine learning and computer vision. The problem is known to be solvable in polynomial time, but general purpose algorithms have…

Machine Learning · Computer Science 2015-02-10 Alina Ene , Huy L. Nguyen

We study the problem of maximizing constrained non-monotone submodular functions and provide approximation algorithms that improve existing algorithms in terms of either the approximation factor or simplicity. Our algorithms combine…

Data Structures and Algorithms · Computer Science 2016-03-01 Salman Fadaei , MohammadAmin Fazli , MohammadAli Safari

This paper considers decentralized optimization of convex functions with mixed affine equality constraints involving both local and global variables. Constraints on global variables may vary across different nodes in the network, while…

Optimization and Control · Mathematics 2026-02-05 Demyan Yarmoshik , Nhat Trung Nguyen , Alexander Rogozin , Alexander Gasnikov

We introduce a new convex optimization problem, termed quadratic decomposable submodular function minimization. The problem is closely related to decomposable submodular function minimization and arises in many learning on graphs and…

Machine Learning · Computer Science 2018-10-12 Pan Li , Niao He , Olgica Milenkovic

Solving stochastic optimization problems under partial observability, where one needs to adaptively make decisions with uncertain outcomes, is a fundamental but notoriously difficult challenge. In this paper, we introduce the concept of…

Machine Learning · Computer Science 2017-12-07 Daniel Golovin , Andreas Krause

Can we efficiently extract useful information from a large user-generated dataset while protecting the privacy of the users and/or ensuring fairness in representation. We cast this problem as an instance of a deletion-robust submodular…

Machine Learning · Computer Science 2017-11-22 Ehsan Kazemi , Morteza Zadimoghaddam , Amin Karbasi

Submodular functions are discrete functions that model laws of diminishing returns and enjoy numerous algorithmic applications. They have been used in many areas, including combinatorial optimization, machine learning, and economics. In…

Data Structures and Algorithms · Computer Science 2012-08-24 Maria-Florina Balcan , Nicholas J. A. Harvey

A fundamental task underlying many important optimization problems, from influence maximization to sensor placement to content recommendation, is to select the optimal group of $k$ items from a larger set. Submodularity has been very…

Data Structures and Algorithms · Computer Science 2022-03-02 Jon Kleinberg , Emily Ryu , Éva Tardos

In this paper, we focus on the decentralized composite optimization for convex functions. Because of advantages such as robust to the network and no communication bottle-neck in the central server, the decentralized optimization has…

Optimization and Control · Mathematics 2024-07-16 Haishan Ye , Xiangyu Chang

We provide a distributed online algorithm for multi-agent submodular maximization under communication delays. We are motivated by the future distributed information-gathering tasks in unknown and dynamic environments, where utility…

Machine Learning · Computer Science 2026-03-31 Zirui Xu , Vasileios Tzoumas

We consider the problem of maximizing non-negative non-decreasing set functions. Although most of the recent work focus on exploiting submodularity, it turns out that several objectives we encounter in practice are not submodular.…

Data Structures and Algorithms · Computer Science 2018-06-19 Gaurav Gupta , Sergio Pequito , Paul Bogdan

Submodular function maximization is a fundamental combinatorial optimization problem with plenty of applications -- including data summarization, influence maximization, and recommendation. In many of these problems, the goal is to find a…

Data Structures and Algorithms · Computer Science 2023-09-04 Yanhao Wang , Yuchen Li , Francesco Bonchi , Ying Wang

To cope with the high level of ambiguity faced in domains such as Computer Vision or Natural Language processing, robust prediction methods often search for a diverse set of high-quality candidate solutions or proposals. In structured…

Machine Learning · Computer Science 2014-11-10 Adarsh Prasad , Stefanie Jegelka , Dhruv Batra

Federated learning (FL) enables distributed model training from local data collected by users. In distributed systems with constrained resources and potentially high dynamics, e.g., mobile edge networks, the efficiency of FL is an important…

Machine Learning · Computer Science 2022-12-19 Shiqiang Wang , Jake Perazzone , Mingyue Ji , Kevin S. Chan

Submodularity is a key property in discrete optimization. Submodularity has been widely used for analyzing the greedy algorithm to give performance bounds and providing insight into the construction of valid inequalities for mixed-integer…

Optimization and Control · Mathematics 2022-05-24 Temitayo Ajayi , Taewoo Lee , Andrew Schaefer

We consider the decentralized minimization of a separable objective $\sum_{i=1}^{n} f_i(x_i)$, where the variables are coupled through an affine constraint $\sum_{i=1}^n\left(\mathbf{A}_i x_i - b_i\right) = 0$. We assume that the functions…

Optimization and Control · Mathematics 2026-04-21 Demyan Yarmoshik , Alexander Rogozin , Nikita Kiselev , Daniil Dorin , Alexander Gasnikov , Dmitry Kovalev