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In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogate-assisted derivative-free trust-region approach with the…

最优化与控制 · 数学 2023-04-20 Manuel Berkemeier , Sebastian Peitz

Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is…

最优化与控制 · 数学 2020-02-13 Shu Liang , Xianlin Zeng , Guanpu Chen , Yiguang Hong

We propose a projection-free conditional gradient-type algorithm for smooth stochastic multi-level composition optimization, where the objective function is a nested composition of $T$ functions and the constraint set is a closed convex…

最优化与控制 · 数学 2022-10-11 Tesi Xiao , Krishnakumar Balasubramanian , Saeed Ghadimi

This paper investigates distributed zeroth-order feedback optimization in multi-agent systems with coupled constraints, where each agent operates its local action vector and observes only zeroth-order information to minimize a global cost…

最优化与控制 · 数学 2024-10-17 Yingpeng Duan , Yujie Tang

To integrate strategic, tactical and operational decisions, the two-stage optimization has been widely used to guide dynamic decision making. In this paper, we study the two-stage stochastic programming for complex systems with unknown…

最优化与控制 · 数学 2019-10-15 Wei Xie , Yuan Yi , Hua Zheng

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

最优化与控制 · 数学 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

Decentralized distributed optimization over time-varying graphs (networks) is nowadays a very popular branch of research in optimization theory and consensus theory. One of the motivations to consider such networks is an application to…

最优化与控制 · 数学 2020-06-24 Alexander Rogozin , Alexander Gasnikov

Gradient-type distributed optimization methods have blossomed into one of the most important tools for solving a minimization learning task over a networked agent system. However, only one gradient update per iteration is difficult to…

最优化与控制 · 数学 2024-03-06 Mou Wu , Haibin Liao , Zhengtao Ding , Yonggang Xiao

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo

Bilevel optimization (BO) has recently gained prominence in many machine learning applications due to its ability to capture the nested structure inherent in these problems. Recently, many hypergradient methods have been proposed as…

最优化与控制 · 数学 2024-09-04 Wanli Shi , Yi Chang , Bin Gu

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

最优化与控制 · 数学 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie

In this work, we propose a continuous-time distributed optimization algorithm with guaranteed zero coupling constraint violation and apply it to safe distributed control in the presence of multiple control barrier functions (CBF). The…

最优化与控制 · 数学 2025-02-05 Xiao Tan , Changxin Liu , Karl H. Johansson , Dimos V. Dimarogonas

This technical note studies the distributed optimization problem of a sum of nonsmooth convex cost functions with local constraints. At first, we propose a novel distributed continuous-time projected algorithm, in which each agent knows its…

最优化与控制 · 数学 2016-11-29 Xianlin Zeng , Peng Yi , Yiguang Hong

We consider in this paper a class of composite optimization problems whose objective function is given by the summation of a general smooth and nonsmooth component, together with a relatively simple nonsmooth term. We present a new class of…

最优化与控制 · 数学 2015-10-27 Guanghui Lan

We present an optimizer which uses Bayesian optimization to tune the system parameters of distributed stochastic gradient descent (SGD). Given a specific context, our goal is to quickly find efficient configurations which appropriately…

机器学习 · 统计学 2016-12-04 Valentin Dalibard , Michael Schaarschmidt , Eiko Yoneki

Although the field of distributed optimization is well-developed, relevant literature focused on the application of distributed optimization to multi-robot problems is limited. This survey constitutes the second part of a two-part series on…

机器人学 · 计算机科学 2024-12-02 Ola Shorinwa , Trevor Halsted , Javier Yu , Mac Schwager

This paper presents an efficient structure-exploiting algorithm for multistage optimization problems. The proposed method extends existing approaches by supporting full coupling between stages and global decision variables in the cost, as…

最优化与控制 · 数学 2025-09-09 Roland Schwan , Daniel Kuhn , Colin N. Jones

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

机器学习 · 计算机科学 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

We present a novel unified analysis for a broad class of adaptive optimization algorithms with structured (e.g., layerwise, diagonal, and kronecker-factored) preconditioners for both online regret minimization and offline convex…

机器学习 · 计算机科学 2025-07-16 Shuo Xie , Tianhao Wang , Sashank Reddi , Sanjiv Kumar , Zhiyuan Li

Stochastic multi-level compositional optimization problems cover many new machine learning paradigms, e.g., multi-step model-agnostic meta-learning, which require efficient optimization algorithms for large-scale data. This paper studies…

机器学习 · 计算机科学 2024-06-03 Hongchang Gao