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In this paper, we study the social optimality for mean field linear quadratic control systems following the direct approach, where subsystems are coupled via individual dynamics and costs according to a network topology. A graph is…

Optimization and Control · Mathematics 2022-08-30 Yong Liang , Bingchang Wang , Huanshui Zhang

Decentralized and asynchronous communications are two popular techniques to speedup communication complexity of distributed machine learning, by respectively removing the dependency over a central orchestrator and the need for…

Optimization and Control · Mathematics 2023-11-02 Mathieu Even , Anastasia Koloskova , Laurent Massoulié

Distributed Optimization is an increasingly important subject area with the rise of multi-agent control and optimization. We consider a decentralized stochastic optimization problem where the agents on a graph aim to asynchronously optimize…

Optimization and Control · Mathematics 2021-10-22 Vyacheslav Kungurtsev , Mahdi Morafah , Tara Javidi , Gesualdo Scutari

Resilience to damage, component degradation, and adversarial action is a critical consideration in design of autonomous systems. In addition to designing strategies that seek to prevent such negative events, it is vital that an autonomous…

Optimization and Control · Mathematics 2018-08-14 Matija Bucic , Melkior Ornik , Ufuk Topcu

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

We propose a distributed algorithm for controlling traffic signals, allowing constraints such as periodic switching sequences of phases and minimum and maximum green time to be incorporated. Our algorithm is adapted from backpressure…

Systems and Control · Computer Science 2014-07-07 Tichakorn Wongpiromsarn , Tawit Uthaicharoenpong , Emilio Frazzoli , Yu Wang , Danwei Wang

Graphs are mathematical tools that can be used to represent complex real-world interconnected systems, such as financial markets and social networks. Hence, machine learning (ML) over graphs has attracted significant attention recently.…

Machine Learning · Computer Science 2023-10-24 O. Deniz Kose , Yanning Shen , Gonzalo Mateos

This paper presents a novel factor graph-based approach to solve the discrete-time finite-horizon Linear Quadratic Regulator problem subject to auxiliary linear equality constraints within and across time steps. We represent such optimal…

Robotics · Computer Science 2021-10-27 Shuo Yang , Gerry Chen , Yetong Zhang , Howie Choset , Frank Dellaert

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

The necessary integration of renewable energy sources, combined with the expanding scale of power networks, presents significant challenges in controlling modern power grids. Traditional control systems, which are human and…

Machine Learning · Computer Science 2025-09-04 Carlo Fabrizio , Gianvito Losapio , Marco Mussi , Alberto Maria Metelli , Marcello Restelli

We study distributed control of networked systems through reinforcement learning, where neural policies must be simultaneously scalable, expressive and stabilizing. We introduce a policy parameterization that embeds Graph Neural Networks…

Systems and Control · Electrical Eng. & Systems 2026-05-27 John Cao , Luca Furieri

We propose a distributed algorithm for controlling traffic signals. Our algorithm is adapted from backpressure routing, which has been mainly applied to communication and power networks. We formally prove that our algorithm ensures global…

Systems and Control · Computer Science 2015-03-20 Tichakorn Wongpiromsarn , Tawit Uthaicharoenpong , Yu Wang , Emilio Frazzoli , Danwei Wang

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

Self-stabilizing algorithms are an important because of their robustness and guaranteed convergence. Starting from any arbitrary state, a self-stabilizing algorithm is guaranteed to converge to a legitimate state.Those algorithms are not…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-20 Thejaka Kanewala , Marcin Zalewski , Martina Barnas , Andrew Lumsdaine

In this paper, we consider nonsubsampled graph filter banks (NSGFBs) to process data on a graph in a distributed manner. Given an analysis filter bank with small bandwidth, we propose algebraic and optimization methods of constructing…

Information Theory · Computer Science 2017-09-14 Junzheng Jiang , Cheng Cheng , Qiyu Sun

Graph neural networks (GNNs) are a type of deep learning models that are trained on graphs and have been successfully applied in various domains. Despite the effectiveness of GNNs, it is still challenging for GNNs to efficiently scale to…

Machine Learning · Computer Science 2023-08-28 Yingxia Shao , Hongzheng Li , Xizhi Gu , Hongbo Yin , Yawen Li , Xupeng Miao , Wentao Zhang , Bin Cui , Lei Chen

We initiate the study of deterministic distributed graph algorithms with predictions in synchronous message passing systems. The process at each node in the graph is given a prediction, which is some extra information about the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-01 Joan Boyar , Faith Ellen , Kim S. Larsen

Graph is a ubiquitous structure in many domains. The rapidly increasing data volume calls for efficient and scalable graph data processing. In recent years, designing distributed graph processing systems has been an increasingly important…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Xubo Wang , Lu Qin , Lijun Chang , Ying Zhang , Dong Wen , Xuemin Lin

Clustering large datasets is a fundamental problem with a number of applications in machine learning. Data is often collected on different sites and clustering needs to be performed in a distributed manner with low communication. We would…

Data Structures and Algorithms · Computer Science 2017-02-02 Jiecao Chen , He Sun , David P. Woodruff , Qin Zhang

The modelling of linear quadratic Gaussian optimal control problems on large complex networks is intractable computationally. Graphon theory provides an approach to overcome these issues by defining limit objects for infinite sequences of…

Optimization and Control · Mathematics 2024-07-02 Alex Dunyak , Peter E. Caines