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In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

最优化与控制 · 数学 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh

In this paper we present a new method for solving optimization problems involving the sum of two proper, convex, lower semicontinuous functions, one of which has Lipschitz continuous gradient. The proposed method has a hybrid nature that…

最优化与控制 · 数学 2022-11-03 Kristian Bredies , Enis Chenchene , Alireza Hosseini

In 1963, Polyak proposed a simple condition that is sufficient to show a global linear convergence rate for gradient descent. This condition is a special case of the \L{}ojasiewicz inequality proposed in the same year, and it does not…

机器学习 · 计算机科学 2020-09-15 Hamed Karimi , Julie Nutini , Mark Schmidt

Flow-based methods for sampling and generative modeling use continuous-time dynamical systems to represent a {transport map} that pushes forward a source measure to a target measure. The introduction of a time axis provides considerable…

机器学习 · 统计学 2025-06-19 Panos Tsimpos , Zhi Ren , Jakob Zech , Youssef Marzouk

We develop an algorithm that combines model-based and model-free methods for solving a nonlinear optimal control problem with a quadratic cost in which the system model is given by a linear state-space model with a small additive nonlinear…

最优化与控制 · 数学 2022-03-23 Yansong Li , Shuo Han

This paper proposes a distributed optimization algorithm with a convergence time that can be assigned in advance according to task requirements. To this end, a sliding manifold is introduced to achieve the sum of local gradients approaching…

最优化与控制 · 数学 2024-12-31 Renyongkang Zhang , Ge Guo , Zeng-di Zhou

This paper discusses the design of an extremum seeking controller that relies on a monitoring function for a class of SISO uncertain nonlinear systems characterized by arbitrary and uncertain relative degree. Our demonstration illustrates…

最优化与控制 · 数学 2024-05-28 Nerito Oliveira Aminde , Tiago Roux Oliveira , Liu Hsu

We develop a method for policy architecture search and adaptation via gradient-free optimization which can learn to perform autonomous driving tasks. By learning from both demonstration and environmental reward we develop a model that can…

机器学习 · 计算机科学 2017-10-18 Sayna Ebrahimi , Anna Rohrbach , Trevor Darrell

In Part I of this work [1], we developed an accelerated algorithmic framework, DAMA (Decentralized Accelerated Minimax Approach), for nonconvex Polyak-Lojasiewicz (PL) minimax optimization over decentralized multi-agent networks. To further…

最优化与控制 · 数学 2025-12-17 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

This paper investigates distributed online convex optimization in the presence of an aggregative variable without any global/central coordinators over a multi-agent network, where each individual agent is only able to access partial…

最优化与控制 · 数学 2020-07-15 Xiuxian Li , Xinlei Yi , Lihua Xie

Bearing-based distributed formation control is attractive because it can be implemented using vision-based measurements to achieve a desired formation. Gradient-descent-based controllers using bearing measurements have been shown to have…

系统与控制 · 电气工程与系统科学 2022-03-25 Zili Wang , Sean B. Andersson , Roberto Tron

There are much recent interests in solving noncovnex min-max optimization problems due to its broad applications in many areas including machine learning, networked resource allocations, and distributed optimization. Perhaps, the most…

最优化与控制 · 数学 2021-12-20 Thinh T. Doan

We study Online Convex Optimization in the unbounded setting where neither predictions nor gradient are constrained. The goal is to simultaneously adapt to both the sequence of gradients and the comparator. We first develop parameter-free…

机器学习 · 计算机科学 2020-08-11 Zakaria Mhammedi , Wouter M. Koolen

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

最优化与控制 · 数学 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

We consider the composite minimization problem with the objective function being the sum of a continuously differentiable and a merely lower semicontinuous and extended-valued function. The proximal gradient method is probably the most…

最优化与控制 · 数学 2024-11-20 Christian Kanzow , Leo Lehmann

Data-driven iterative learning control can achieve high performance for systems performing repeating tasks without the need for modeling. The aim of this paper is to develop a fast data-driven method for iterative learning control that is…

系统与控制 · 电气工程与系统科学 2021-11-17 Leontine Aarnoudse , Tom Oomen

This paper presents an extremum seeking control algorithm with an adaptive step-size that adjusts the aggressiveness of the controller based on the quality of the gradient estimate. The adaptive step-size ensures that the integral-action…

最优化与控制 · 数学 2021-12-21 Claus Danielson , Scott A. Bortoff , Ankush Chakrabarty

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

最优化与控制 · 数学 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

We present a distributed conjugate gradient method for distributed optimization problems, where each agent computes an optimal solution of the problem locally without any central computation or coordination, while communicating with its…

最优化与控制 · 数学 2024-02-27 Ola Shorinwa , Mac Schwager

While the optimization landscape of policy gradient methods has been recently investigated for partially observed linear systems in terms of both static output feedback and dynamical controllers, they only provide convergence guarantees to…

最优化与控制 · 数学 2023-04-25 Feiran Zhao , Xingyun Fu , Keyou You