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In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represents a local estimate of a solution to the global optimization…

最优化与控制 · 数学 2025-09-04 Tarek Bazizi , Mohamed Maghenem , Paolo Frasca , Antonio Lorìa , Elena Panteley

We introduce a novel strategy to address the issue of demand estimation in single-item single-period stochastic inventory optimisation problems. Our strategy analytically combines confidence interval analysis and inventory optimisation. We…

最优化与控制 · 数学 2014-09-09 Roberto Rossi , Steven Prestwich , S. Armagan Tarim , Brahim Hnich

We consider stochastic optimization under distributional uncertainty, where the unknown distributional parameter is estimated from streaming data that arrive sequentially over time. Moreover, data may depend on the decision of the time when…

最优化与控制 · 数学 2023-10-17 Tianyi Liu , Yifan Lin , Enlu Zhou

This paper studies a risk minimization problem with decision dependent data distribution. The problem pertains to the performative prediction setting in which a trained model can affect the outcome estimated by the model. Such dependency…

最优化与控制 · 数学 2025-01-07 Qiang Li , Hoi-To Wai

We establish a data-dependent notion of algorithmic stability for Stochastic Gradient Descent (SGD), and employ it to develop novel generalization bounds. This is in contrast to previous distribution-free algorithmic stability results for…

机器学习 · 计算机科学 2018-02-19 Ilja Kuzborskij , Christoph H. Lampert

We consider the problem of the optimization of bidding strategies in prior-dependent revenue-maximizing auctions, when the seller fixes the reserve prices based on the bid distributions. Our study is done in the setting where one bidder is…

计算机科学与博弈论 · 计算机科学 2019-05-15 Thomas Nedelec , Noureddine El Karoui , Vianney Perchet

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

机器学习 · 计算机科学 2025-12-23 Ansh Nagwekar

This paper investigates a novel approach for solving the distributed optimization problem in which multiple agents collaborate to find the global decision that minimizes the sum of their individual cost functions. First, the $AB$/Push-Pull…

最优化与控制 · 数学 2023-06-23 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedich

In this paper, we investigate an energy cost minimization problem for prosumers participating in peer-to-peer energy trading. Due to (i) uncertainties caused by renewable energy generation and consumption, (ii) difficulties in developing an…

系统与控制 · 电气工程与系统科学 2021-08-23 Cephas Samende , Jun Cao , Zhong Fan

We consider solving a convex, possibly stochastic optimization problem over a randomly time-varying multi-agent network. Each agent has access to some local objective function, and it only has unbiased estimates of the gradients of the…

最优化与控制 · 数学 2016-11-29 Mingyi Hong , Tsung-Hui Chang

Stochastic Gradient Descent (SGD) and its variants are the most used algorithms in machine learning applications. In particular, SGD with adaptive learning rates and momentum is the industry standard to train deep networks. Despite the…

机器学习 · 统计学 2020-07-29 Xiaoyu Li , Francesco Orabona

This paper studies the distributed model predictive control (DMPC) problem for distributed discrete-time linear systems with both local and global constraints over directed communication networks. We establish an optimization problem to…

最优化与控制 · 数学 2025-11-06 Pengbiao Wang , Xuemei Ren , Dongdong Zheng

This paper presents a novel non-stationary dynamic pricing algorithm design, where pricing agents face incomplete demand information and market environment shifts. The agents run price experiments to learn about each product's demand curve…

机器学习 · 统计学 2022-09-09 Po-Yi Liu , Chi-Hua Wang , Henghsiu Tsai

This paper aims to accelerate decentralized optimization by strategically designing the edge weights used in the agent-to-agent message exchanges. We propose a Dynamic Directed Decentralized Gradient (D3GD) framework and show that the…

最优化与控制 · 数学 2026-01-30 Rongxing Du , Hoi-To Wai

This paper studies a class of adaptive gradient based momentum algorithms that update the search directions and learning rates simultaneously using past gradients. This class, which we refer to as the "Adam-type", includes the popular…

机器学习 · 计算机科学 2019-03-12 Xiangyi Chen , Sijia Liu , Ruoyu Sun , Mingyi Hong

This paper considers the problem of asynchronous distributed multi-agent optimization on server-based system architecture. In this problem, each agent has a local cost, and the goal for the agents is to collectively find a minimum of their…

分布式、并行与集群计算 · 计算机科学 2021-06-09 Shuo Liu , Nirupam Gupta , Nitin H. Vaidya

The problem of maximizing the adoption of a product through viral marketing in social networks has been studied heavily through postulated network models. We present a novel data-driven formulation of the problem. We use Graph Neural…

机器学习 · 计算机科学 2025-02-21 Saurabh Sharma , Ambuj Singh

This study explores the combination of automated machine learning (AutoML) with model-based deep unfolding (DU) for optimizing wireless beamforming and waveforms. We convert the iterative proximal gradient descent (PGD) algorithm into a…

机器学习 · 计算机科学 2026-04-23 Ahmet Kaplan

We reconsider the study of optimal dividend strategies in the Cram\'er-Lundberg risk model. It is well-known that the solution of the classical dividend problem is in general a band strategy. However, the numerical techniques for the…

最优化与控制 · 数学 2022-07-05 Hansjörg Albrecher , Brandon García Flores

The purpose of this paper is to improve upon existing variants of gradient descent by solving two problems: (1) removing (or reducing) the plateau that occurs while minimizing the cost function, (2) continually adjusting the learning rate…

机器学习 · 计算机科学 2021-08-04 Michael F. Zimmer