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Low-rank tensor models are widely used in statistics. However, most existing methods rely heavily on the assumption that data follows a sub-Gaussian distribution. To address the challenges associated with heavy-tailed distributions…

Methodology · Statistics 2025-09-16 Xiaoyu Zhang , Di Wang , Guodong Li , Defeng Sun

This paper delves into the investigation of a distributed aggregative optimization problem within a network. In this scenario, each agent possesses its own local cost function, which relies not only on the local state variable but also on…

Optimization and Control · Mathematics 2025-04-01 Jiaxu Liu , Song Chen , Shengze Cai , Chao Xu , Jian Chu

We study distributed multiagent optimization over (directed, time-varying) graphs. We consider the minimization of $F+G$ subject to convex constraints, where $F$ is the smooth strongly convex sum of the agent's losses and $G$ is a nonsmooth…

Optimization and Control · Mathematics 2020-10-13 Ying Sun , Amir Daneshmand , Gesualdo Scutari

In this paper, we employ multiple wireless-powered relays to assist information transmission from a multi-antenna access point to a single-antenna receiver. The wireless relays can operate in either the passive mode via backscatter…

Signal Processing · Electrical Eng. & Systems 2020-08-05 Shimin Gong , Yuze Zou , Jing Xu , Dinh Thai Hoang , Bin Lyu , Dusit Niyato

We study distributed optimization algorithms for minimizing the average of \emph{heterogeneous} functions distributed across several machines with a focus on communication efficiency. In such settings, naively using the classical stochastic…

Machine Learning · Computer Science 2020-11-18 Ilqar Ramazanli , Han Nguyen , Hai Pham , Sashank J. Reddi , Barnabas Poczos

We address the problem of controlling the reactive power setpoints of a set of distributed energy resources (DERs) in a power distribution network so as to mitigate the impact of variability in uncontrolled power injections associated with,…

Optimization and Control · Mathematics 2023-03-16 Alejandro D. Dominguez-Garcia , Madi Zholbaryssov , Temitope Amuda , Olaoluwapo Ajala

This paper proposes a novel robust reinforcement learning framework for discrete-time linear systems with model mismatch that may arise from the sim-to-real gap. A key strategy is to invoke advanced techniques from control theory. Using the…

Systems and Control · Electrical Eng. & Systems 2023-12-07 Leilei Cui , Tamer Başar , Zhong-Ping Jiang

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

Optimization and Control · Mathematics 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

This paper studies distributed nonconvex optimization problems with stochastic gradients for a multi-agent system, in which each agent aims to minimize the sum of all agents' cost functions by using local compressed information exchange. We…

Optimization and Control · Mathematics 2024-03-05 Antai Xie , Xinlei Yi , Xiaofan Wang , Ming Cao , Xiaoqiang Ren

An autonomous and resilient controller is proposed for leader-follower multi-agent systems under uncertainties and cyber-physical attacks. The leader is assumed non-autonomous with a nonzero control input, which allows changing the team…

Multiagent Systems · Computer Science 2018-04-10 Rohollah Moghadam , Hamidreza Modares

In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multi-agent systems subject to external disturbances. We aim to steer this high-order multi-agent network to a…

Optimization and Control · Mathematics 2019-02-05 Yutao Tang

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method for solving a class of linear inverse problems in the lens…

Numerical Analysis · Mathematics 2022-01-19 Bangti Jin , Zehui Zhou , Jun Zou

In this paper, a control scheme is developed based on an input constrained Model Predictive Controller (MPC) and the idea of modifying the reference command to enforce constraints, usual of Reference Governors (RG). The proposed scheme,…

Systems and Control · Electrical Eng. & Systems 2022-10-21 Miguel Castroviejo Fernandez , Jordan Leung , Ilya Kolmanovsky

Many core problems in robotics can be framed as constrained optimization problems. Often on these problems, the robotic system has uncertainty, or it would be advantageous to identify multiple high quality feasible solutions. To enable…

Robotics · Computer Science 2025-06-03 Griffin Tabor , Tucker Hermans

Deep reinforcement learning approaches are becoming appealing for the design of nonlinear controllers for voltage control problems, but the lack of stability guarantees hinders their deployment in real-world scenarios. This paper constructs…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Jie Feng , Wenqi Cui , Jorge Cortés , Yuanyuan Shi

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

This paper proposes a novel safety specification tool, called the distributionally robust risk map (DR-risk map), for a mobile robot operating in a learning-enabled environment. Given the robot's position, the map aims to reliably assess…

Robotics · Computer Science 2021-05-04 Astghik Hakobyan , Insoon Yang

We consider the problem of controlling the group behavior of a large number of dynamic systems that are constantly interacting with each other. These systems are assumed to have identical dynamics (e.g., birds flock, robot swarm) and their…

Optimization and Control · Mathematics 2021-08-18 Yongxin Chen

This paper presents a fault-tolerant control scheme for constrained linear systems. First, a new variant of the Reference Governor (RG) called At Once Reference Governor (AORG) is introduced. The AORG is distinguished from the conventional…

Optimization and Control · Mathematics 2021-07-20 Mehdi Hosseinzadeh , Ilya Kolmanovsky , Sanjoy Baruah , Bruno Sinopoli

We study finite-time performance of a recently proposed distributed dual subgradient (DDSG) method for convex constrained multi-agent optimization problems. The algorithm enjoys performance guarantees on the last primal iterate, as opposed…

Optimization and Control · Mathematics 2023-07-28 Subhonmesh Bose , Hoa Dinh Nguyen , Haitian Liu , Ye Guo , Thinh T. Doan , Carolyn L. Beck
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