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A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

Machine Learning · Computer Science 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Equation discovery is a fundamental learning task for uncovering the underlying dynamics of complex systems, with wide-ranging applications in areas such as brain connectivity analysis, climate modeling, gene regulation, and physical…

Machine Learning · Computer Science 2026-01-29 Jiaqiang Li , Jianbin Tan , Xueqin Wang

Federated learning allows loads of edge computing devices to collaboratively learn a global model without data sharing. The analysis with partial device participation under non-IID and unbalanced data reflects more reality. In this work, we…

Machine Learning · Computer Science 2020-12-23 Qianqian Tong , Guannan Liang , Jinbo Bi

We consider a generic decentralized constrained optimization problem over static, directed communication networks, where each agent has exclusive access to only one convex, differentiable, local objective term and one convex constraint set.…

Optimization and Control · Mathematics 2023-11-09 Firooz Shahriari-Mehr , Ashkan Panahi

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

Optimization and Control · Mathematics 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

We develop and analyse an approach to optimize functions $l\colon \mathbb{R}^d \rightarrow \mathbb{R}$ not assumed to be convex, differentiable or even continuous. The algorithm belongs to the class of model-based search methods. The idea…

Computation · Statistics 2025-12-04 Christophe Andrieu , Nicolas Chopin , Ettore Fincato , Mathieu Gerber

Different federated optimization algorithms typically employ distinct client-selection strategies: some methods communicate only with a randomly sampled subset of clients at each round, while others need to periodically communicate with all…

Machine Learning · Computer Science 2025-12-08 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

In this paper, a class of nonlinear driftless control-affine systems satisfying the bracket generating condition is considered. A gradient-free optimization algorithm is developed for the minimization of a cost function along the…

Optimization and Control · Mathematics 2021-05-13 Victoria Grushkovskaya , Alexander Zuyev

This paper deals with stochastic optimization problems involving Markovian noise with a zero-order oracle. We present and analyze a novel derivative-free method for solving such problems in strongly convex smooth and non-smooth settings…

Optimization and Control · Mathematics 2026-01-06 Boris Prokhorov , Semyon Chebykin , Alexander Gasnikov , Aleksandr Beznosikov

The purpose of this paper is to introduce two new classes of accelerated distributed proximal conjugate gradient algorithms for multi-agent constrained optimization problems; given as minimization of a function decomposed as a sum of M…

Optimization and Control · Mathematics 2024-06-21 Anteneh Getachew Gebrie

In this paper, we consider the distributed estimation problem of a linear stochastic system described by an autoregressive model with exogenous inputs (ARX) when both the system orders and parameters are unknown. We design distributed…

Systems and Control · Electrical Eng. & Systems 2021-10-20 Die Gan , Zhixin Liu

In this paper, we focus on an aggregative optimization problem under the communication bottleneck. The aggregative optimization is to minimize the sum of local cost functions. Each cost function depends on not only local state variables but…

Optimization and Control · Mathematics 2022-01-07 Ziqin Chen , Shu Liang

In this paper, we consider the problem of minimizing the sum of nonconvex and possibly nonsmooth functions over a connected multi-agent network, where the agents have partial knowledge about the global cost function and can only access the…

Optimization and Control · Mathematics 2019-04-10 Davood Hajinezhad , Michael Zavlanos

This paper extends recent results on the exponential performance analysis of gradient based cooperative control dynamics using the framework of exponential integral quadratic constraints ($\alpha-$IQCs). A cooperative source-seeking problem…

Optimization and Control · Mathematics 2023-04-07 Adwait Datar , Antonio Mendez Gonzalez , Herbert Werner

Global aerodynamic design optimization using Euler or Navier-Stokes equations requires very reliable surrogate modeling techniques since the computational effort for the underlying flow simulations is usually high. In general, for such…

Optimization and Control · Mathematics 2018-11-02 Emre Özkaya , Nicolas R. Gauger

This paper introduces adaptive Bregman proximal gradient algorithms for solving convex composite minimization problems without relying on global relative smoothness or strong convexity assumptions. Building upon recent advances in adaptive…

Optimization and Control · Mathematics 2025-08-05 Hongjia Ou , Puya Latafat , Andreas Themelis

This paper introduces a novel approach to system identification for nonlinear input-output models that minimizes the simulation error and frames the problem as a constrained optimization task. The proposed method addresses vanishing…

Optimization and Control · Mathematics 2025-12-17 Vito Cerone , Sophie M. Fosson , Simone Pirrera , Diego Regruto

This work addresses the instability in asynchronous data parallel optimization. It does so by introducing a novel distributed optimizer which is able to efficiently optimize a centralized model under communication constraints. The optimizer…

Machine Learning · Statistics 2017-10-09 Joeri Hermans , Gerasimos Spanakis , Rico Möckel

The problem of steering a particular class of $n$-dimensional continuous-time dynamical systems towards the minima of a function without gradient information is considered. We propose an hybrid controller, implementing a discrete-time…

Systems and Control · Electrical Eng. & Systems 2019-12-05 Alessandro Melis , Ricardo G. Sanfelice , Lorenzo Marconi

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu