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This paper investigates the problem of tracking solutions of stochastic optimization problems with time-varying costs that depend on random variables with decision-dependent distributions. In this context, we propose the use of an online…

最优化与控制 · 数学 2021-10-29 Killian Wood , Gianluca Bianchin , Emiliano Dall'Anese

In this work, multiplicative stochasticity is applied to the learning rate of stochastic optimization algorithms, giving rise to stochastic learning-rate schemes. In-expectation theoretical convergence results of Stochastic Gradient Descent…

最优化与控制 · 数学 2022-03-22 Theodoros Mamalis , Dusan Stipanovic , Petros Voulgaris

This paper introduces a dual-based algorithm framework for solving the regularized online resource allocation problems, which have potentially non-concave cumulative rewards, hard resource constraints, and a non-separable regularizer. Under…

机器学习 · 计算机科学 2023-07-18 Wanteng Ma , Ying Cao , Danny H. K. Tsang , Dong Xia

This paper studies the problem of controlling linear dynamical systems subject to point-wise-in-time constraints. We present an algorithm similar to online gradient descent, that can handle time-varying and a priori unknown convex cost…

最优化与控制 · 数学 2021-11-03 Marko Nonhoff , Matthias A. Müller

The configuration balancing problem with stochastic requests generalizes many well-studied resource allocation problems such as load balancing and virtual circuit routing. In it, we have $m$ resources and $n$ requests. Each request has…

数据结构与算法 · 计算机科学 2022-08-30 Franziska Eberle , Anupam Gupta , Nicole Megow , Benjamin Moseley , Rudy Zhou

The reliability redundancy allocation problem (RRAP) is a well-known tool in system design, development, and management. The RRAP is always modeled as a nonlinear mixed-integer non-deterministic polynomial-time hardness (NP-hard) problem.…

神经与进化计算 · 计算机科学 2020-06-18 Wei-Chang Yeh

This paper considers online optimization for a system that performs a sequence of back-to-back tasks. Each task can be processed in one of multiple processing modes that affect the duration of the task, the reward earned, and an additional…

最优化与控制 · 数学 2024-01-17 Michael J. Neely

We consider the problem of online resource allocation with average budget constraints. At each time point the decision maker makes an irrevocable decision of whether to accept or reject a request before the next request arrives with the…

统计方法学 · 统计学 2025-09-29 Ruicheng Ao , Hongyu Chen , David Simchi-Levi , Feng Zhu

Production planning must account for uncertainty in a production system, arising from fluctuating demand forecasts. Therefore, this article focuses on the integration of updated customer demand into the rolling horizon planning cycle. We…

计量经济学 · 经济学 2024-09-27 Manuel Schlenkrich , Wolfgang Seiringer , Klaus Altendorfer , Sophie N. Parragh

We study the online resource allocation problem in which at each round, a budget $B$ must be allocated across $K$ arms under censored feedback. An arm yields a reward if and only if two conditions are satisfied: (i) the arm is activated…

机器学习 · 计算机科学 2026-02-09 Giovanni Montanari , Côme Fiegel , Corentin Pla , Aadirupa Saha , Vianney Perchet

This paper studies the problem of online performance optimization of constrained closed-loop control systems, where both the objective and the constraints are unknown black-box functions affected by exogenous time-varying contextual…

机器学习 · 计算机科学 2023-09-22 Wenjie Xu , Yuning Jiang , Bratislav Svetozarevic , Colin N. Jones

The deployment of Multi-Armed Bandits (MAB) has become commonplace in many economic applications. However, regret guarantees for even state-of-the-art linear bandit algorithms (such as Optimism in the Face of Uncertainty Linear bandit…

计量经济学 · 经济学 2023-02-28 Jingwen Zhang , Yifang Chen , Amandeep Singh

Stochastic Optimization (SO) is a classical approach for optimization under uncertainty that typically requires knowledge about the probability distribution of uncertain parameters. As the latter is often unknown, Distributionally Robust…

Reinforcement Learning (RL) has achieved state-of-the-art results in domains such as robotics and games. We build on this previous work by applying RL algorithms to a selection of canonical online stochastic optimization problems with a…

Safety is a critical concern for the success of urban air mobility, especially in dynamic and uncertain environments. This paper proposes a path planning algorithm based on RRT in conjunction with chance constraints in the presence of…

机器人学 · 计算机科学 2022-03-15 Pengcheng Wu , Lin Li , Junfei Xie , Jun Chen

Online optimization of resource management for large-scale data centers and infrastructures to meet dynamic capacity reservation demands and various practical constraints (e.g., feasibility and robustness) is a very challenging problem.…

网络与互联网体系结构 · 计算机科学 2024-10-18 Chang-Lin Chen , Hanhan Zhou , Jiayu Chen , Mohammad Pedramfar , Tian Lan , Zheqing Zhu , Chi Zhou , Pol Mauri Ruiz , Neeraj Kumar , Hongbo Dong , Vaneet Aggarwal

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

系统与控制 · 计算机科学 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

Time-varying systems are a challenge in many scientific and engineering areas. Usually, estimation of time-varying parameters or signals must be performed online, which calls for the development of responsive online algorithms. In this…

最优化与控制 · 数学 2018-09-10 Sophie M. Fosson

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

最优化与控制 · 数学 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

We study two online resource allocation problems with reusability in an adversarial setting, namely kRental-Fixed and kRental-Variable. In both problems, a decision-maker manages $k$ identical reusable units and faces a sequence of rental…

数据结构与算法 · 计算机科学 2025-07-30 Hossein Nekouyan , Bo Sun , Raouf Boutaba , Xiaoqi Tan
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