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We consider a smoothed online convex optimization (SOCO) problem with predictions, where the learner has access to a finite lookahead window of time-varying stage costs, but suffers a switching cost for changing its actions at each stage.…

最优化与控制 · 数学 2023-10-16 Spandan Senapati , Ashwin Shenai , Ketan Rajawat

The predict-then-optimize framework is fundamental in many practical settings: predict the unknown parameters of an optimization problem, and then solve the problem using the predicted values of the parameters. A natural loss function in…

机器学习 · 计算机科学 2022-08-03 Othman El Balghiti , Adam N. Elmachtoub , Paul Grigas , Ambuj Tewari

In this paper, we consider the problem of resource congestion control for competing online learning agents. On the basis of non-cooperative game as the model for the interaction between the agents, and the noisy online mirror ascent as the…

机器学习 · 计算机科学 2019-10-22 Ezra Tampubolon , Holger Boche

In the problem of online learning for changing environments, data are sequentially received one after another over time, and their distribution assumptions may vary frequently. Although existing methods demonstrate the effectiveness of…

机器学习 · 计算机科学 2023-07-18 Chen Zhao , Feng Mi , Xintao Wu , Kai Jiang , Latifur Khan , Christan Grant , Feng Chen

We consider the problem of learning control policies that optimize a reward function while satisfying constraints due to considerations of safety, fairness, or other costs. We propose a new algorithm, Projection-Based Constrained Policy…

机器学习 · 计算机科学 2020-10-08 Tsung-Yen Yang , Justinian Rosca , Karthik Narasimhan , Peter J. Ramadge

We study the problem of online learning and online regret minimization when samples are drawn from a general unknown non-stationary process. We introduce the concept of a dynamic changing process with cost $K$, where the conditional…

机器学习 · 计算机科学 2023-11-14 Changlong Wu , Ananth Grama , Wojciech Szpankowski

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

机器学习 · 计算机科学 2019-04-09 Amit Daniely , Yishay Mansour

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

机器学习 · 计算机科学 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

Online platforms increasingly rely on sequential decision-making algorithms to allocate resources, match users, or control exposure, while facing growing pressure to ensure fairness over time. We study a general online decision-making…

最优化与控制 · 数学 2026-02-13 Rui Chen , Oktay Gunluk , Andrea Lodi , Guanyi Wang

Maintaining predictive accuracy in non-stationary environments requires online model selection to adapt autonomously to unknown distribution shifts. However, existing tuning-free algorithms face a fundamental trade-off between robustness…

机器学习 · 计算机科学 2026-05-27 Kei Takemura , Ryuta Matsuno , Keita Sakuma

This paper considers online optimization of a renewal-reward system. A controller performs a sequence of tasks back-to-back. Each task has a random vector of parameters, called the task type vector, that affects the task processing options…

最优化与控制 · 数学 2021-06-01 Michael J. Neely

Although online convex optimization (OCO) under arbitrary delays has received increasing attention recently, previous studies focus on stationary environments with the goal of minimizing static regret. In this paper, we investigate the…

机器学习 · 计算机科学 2025-11-10 Yuanyu Wan , Chang Yao , Yitao Ma , Mingli Song , Lijun Zhang

We provide an online convex optimization algorithm with regret that interpolates between the regret of an algorithm using an optimal preconditioning matrix and one using a diagonal preconditioning matrix. Our regret bound is never worse…

机器学习 · 计算机科学 2019-05-31 Ashok Cutkosky , Tamas Sarlos

We consider online convex optimization (OCO) with multi-slot feedback delay, where an agent makes a sequence of online decisions to minimize the accumulation of time-varying convex loss functions, subject to short-term and long-term…

信息论 · 计算机科学 2021-08-17 Juncheng Wang , Ben Liang , Min Dong , Gary Boudreau , Hatem Abou-zeid

We consider Constrained Online Convex Optimization (COCO) with adversarially chosen constraints. At each round, the learner chooses an action before observing the loss and constraint function for that round. The goal is to achieve small…

机器学习 · 计算机科学 2026-05-21 Dhruv Sarkar , Abhishek Sinha

We study Online Linear Programming (OLP) with batching. The planning horizon is cut into $K$ batches, and the decisions on customers arriving within a batch can be delayed to the end of their associated batch. Compared with OLP without…

机器学习 · 计算机科学 2024-08-02 Haoran Xu , Peter W. Glynn , Yinyu Ye

We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each period, a decision-maker selects facilities to open, receives information on the success of each…

机器学习 · 计算机科学 2026-03-06 Alexandre Jacquillat , Michael Lingzhi Li

Online decision-makers often obtain predictions on future variables, such as arrivals, demands, inventories, and so on. These predictions can be generated from simple forecasting algorithms for univariate time-series, all the way to…

最优化与控制 · 数学 2024-06-25 Lin An , Andrew A. Li , Benjamin Moseley , Gabriel Visotsky

A new algorithm for regret minimization in online convex optimization is described. The regret of the algorithm after $T$ time periods is $O(\sqrt{T \log T})$ - which is the minimum possible up to a logarithmic term. In addition, the new…

机器学习 · 计算机科学 2023-07-24 Elad Hazan , Nimrod Megiddo

The real-time joint optimization of inventory replenishment and vehicle routing is essential for cost-efficiently operating one-warehouse, multiple-retailer systems. This is complex, as future demand predictions should capture correlation…

最优化与控制 · 数学 2024-10-30 Menglei Jia , Albert H. Schrotenboer , Feng Chen