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Distributionally robust optimization (DRO) problems are increasingly seen as a viable method to train machine learning models for improved model generalization. These min-max formulations, however, are more difficult to solve. We therefore…

Machine Learning · Statistics 2020-11-03 Soumyadip Ghosh , Mark Squillante , Ebisa Wollega

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

Machine Learning · Computer Science 2026-02-10 Jiaqi Wen , Jianyi Yang

We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

Deep learning methods have access to be employed for solving physical systems governed by parametric partial differential equations (PDEs) due to massive scientific data. It has been refined to operator learning that focuses on learning…

Machine Learning · Computer Science 2024-03-06 Chu Wang , Jinhong Wu , Yanzhi Wang , Zhijian Zha , Qi Zhou

The field of dynamic graph algorithms aims at achieving a thorough understanding of real-world networks whose topology evolves with time. Traditionally, the focus has been on the classic sequential, centralized setting where the main…

Data Structures and Algorithms · Computer Science 2021-09-23 Shiri Antaki , Quanquan C. Liu , Shay Solomon

Multi-robot systems are essential for environmental monitoring, particularly for tracking spatial phenomena like pollution, soil minerals, and water salinity, and more. This study addresses the challenge of deploying a multi-robot team for…

Robotics · Computer Science 2025-02-12 Federico Pratissoli , Mattia Mantovani , Amanda Prorok , Lorenzo Sabattini

In this paper we study the dynamic versions of two basic graph problems: Minimum Dominating Set and its variant Minimum Connected Dominating Set. For those two problems, we present algorithms that maintain a solution under edge insertions…

Data Structures and Algorithms · Computer Science 2019-01-29 Niklas Hjuler , Giuseppe F. Italiano , Nikos Parotsidis , David Saulpic

Characteristics of an evolutionary multi-objective optimization (EMO) algorithm can be explained using its best solution set. For example, the best solution set for SMS-EMOA is the same as the optimal distribution of solutions for…

Neural and Evolutionary Computing · Computer Science 2025-04-25 Hisao Ishibuchi , Lie Meng Pang

This paper proposes group-based distributed optimization (DO) algorithms on top of intelligent partitioning for the optimal power flow (OPF) problems. Radial partitioning of the graph of a network is introduced as a systematic way to split…

Optimization and Control · Mathematics 2024-08-07 Mehdi Karimi

Graph matching is a fundamental tool in computer vision and pattern recognition. In this paper, we introduce an algorithm for graph matching based on the proximal operator, referred to as differentiable proximal graph matching (DPGM).…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Haoru Tan , Chuang Wang , Xu-Yao Zhang , Cheng-Lin Liu

Distributed optimization provides a framework for deriving distributed algorithms for a variety of multi-robot problems. This tutorial constitutes the first part of a two-part series on distributed optimization applied to multi-robot…

Robotics · Computer Science 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

The aim of the dispersion problem is to place a set of $k(\leq n)$ mobile robots in the nodes of an unknown graph consisting of $n$ nodes such that in the final configuration each node contains at most one robot, starting from any arbitrary…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-13 Tanvir Kaur , Kaushik Mondal

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

Pose graph optimization is a non-convex optimization problem encountered in many areas of robotics perception. Its convergence to an accurate solution is conditioned by two factors: the non-linearity of the cost function in use and the…

Robotics · Computer Science 2022-07-05 Tiziano Guadagnino , Luca Di Giammarino , Giorgio Grisetti

Bayesian optimization (BO) is a powerful framework for optimizing expensive black-box objectives, yet extending it to graph-structured domains remains challenging due to the discrete and combinatorial nature of graphs. Existing approaches…

Machine Learning · Computer Science 2025-11-12 Shu Hong , Yongsheng Mei , Mahdi Imani , Tian Lan

We present Decentralized Distributed Proximal Policy Optimization (DD-PPO), a method for distributed reinforcement learning in resource-intensive simulated environments. DD-PPO is distributed (uses multiple machines), decentralized (lacks a…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Erik Wijmans , Abhishek Kadian , Ari Morcos , Stefan Lee , Irfan Essa , Devi Parikh , Manolis Savva , Dhruv Batra

We consider a decentralized optimization problem for networks affected by communication delays. Examples of such networks include collaborative machine learning, sensor networks, and multi-agent systems. To mimic communication delays, we…

Machine Learning · Computer Science 2024-10-03 Tomas Ortega , Hamid Jafarkhani

This paper focus on investigating the distributed Riemannian stochastic optimization problem on the Stiefel manifold for multi-agent systems, where all the agents work collaboratively to optimize a function modeled by the average of their…

Optimization and Control · Mathematics 2025-01-17 Jishu Zhao , Xi Wang , Jinlong Lei

We present a general, flexible modeling abstraction for building and working with distributed optimization problems called a RemoteOptiGraph. This abstraction extends the OptiGraph model in Plasmo$.$jl, where optimization problems are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-20 David L. Cole , Jordan Jalving , Jonah Langlieb , Jesse D. Jenkins

We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-18 Sebastian Brandt , Barbara Keller , Joel Rybicki , Jukka Suomela , Jara Uitto