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We consider a generic empirical composition optimization problem, where there are empirical averages present both outside and inside nonlinear loss functions. Such a problem is of interest in various machine learning applications, and…

最优化与控制 · 数学 2019-11-04 Adithya M. Devraj , Jianshu Chen

We consider the problem of a firm seeking to use personalized pricing to sell an exogenously given stock of a product over a finite selling horizon to different consumer types. We assume that the type of an arriving consumer can be observed…

机器学习 · 计算机科学 2021-10-08 Ningyuan Chen , Guillermo Gallego

This paper studies online resource allocation with replenishable budgets, where budgets can be replenished on top of the initial budget and an agent sequentially chooses online allocation decisions without violating the available budget…

计算机科学与博弈论 · 计算机科学 2024-01-10 Jianyi Yang , Pengfei Li , Mohammad Jaminur Islam , Shaolei Ren

We present a unified framework for designing and analyzing algorithms for online budgeted allocation problems (including online matching) and their generalization, the Online Generalized Assignment Problem (OnGAP). These problems have been…

数据结构与算法 · 计算机科学 2013-08-27 Rad Niazadeh , Robert D. Kleinberg

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

最优化与控制 · 数学 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

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…

We consider the problem of online linear regression in the stochastic setting. We derive high probability regret bounds for online ridge regression and the forward algorithm. This enables us to compare online regression algorithms more…

机器学习 · 计算机科学 2021-11-03 Reda Ouhamma , Odalric Maillard , Vianney Perchet

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

We consider a general online resource allocation model with bandit feedback and time-varying demands. While online resource allocation has been well studied in the literature, most existing works make the strong assumption that the demand…

机器学习 · 计算机科学 2023-06-13 Lixing Lyu , Wang Chi Cheung

We study the relationship between the competitive ratio and the tail distribution of randomized online minimization problems. To this end, we define a broad class of online problems that includes some of the well-studied problems like…

数据结构与算法 · 计算机科学 2013-02-15 Dennis Komm , Rastislav Královič , Richard Královič , Tobias Mömke

In the Time-Windows TSP (TW-TSP) we are given requests at different locations on a network; each request is endowed with a reward and an interval of time; the goal is to find a tour that visits as much reward as possible during the…

数据结构与算法 · 计算机科学 2023-04-05 Shuchi Chawla , Dimitris Christou

In this paper, we propose a practical online method for solving a class of distributionally robust optimization (DRO) with non-convex objectives, which has important applications in machine learning for improving the robustness of neural…

机器学习 · 计算机科学 2021-11-15 Qi Qi , Zhishuai Guo , Yi Xu , Rong Jin , Tianbao Yang

Dynamic resource allocation problems are ubiquitous, arising in inventory management, order fulfillment, online advertising, and other applications. We initially focus on one of the simplest models of online resource allocation: the…

概率论 · 数学 2025-06-04 Omar Besbes , Yash Kanoria , Akshit Kumar

We study two-stage stochastic optimization problems with random recourse, where the adaptive decisions are multiplied with the uncertain parameters in both the objective function and the constraints. To mitigate the computational…

最优化与控制 · 数学 2021-10-05 Xiangyi Fan , Grani A. Hanasusanto

The cloud radio access network (C-RAN) provides high spectral and energy efficiency performances, low expenditures and intelligent centralized system structures to operators, which has attracted intense interests in both academia and…

信息论 · 计算机科学 2014-10-30 Jian Li , Mugen Peng , Aolin Cheng , Yuling Yu , Chonggang Wang

In this paper, we study a certain class of online optimization problems, where the goal is to maximize a function that is not necessarily concave and satisfies the Diminishing Returns (DR) property under budget constraints. We analyze a…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Reza Eghbali , Maryam Fazel

We study a competitive online optimization problem with multiple inventories. In the problem, an online decision maker seeks to optimize the allocation of multiple capacity-limited inventories over a slotted horizon, while the allocation…

性能 · 计算机科学 2022-02-08 Qiulin Lin , Yanfang Mo , Junyan Su , Minghua Chen

This paper develops projection-free algorithms for online convex optimization with stochastic constraints. We design an online primal-dual projection-free framework that can take any projection-free algorithms developed for online convex…

最优化与控制 · 数学 2023-05-17 Duksang Lee , Nam Ho-Nguyen , Dabeen Lee

We introduce a primal-dual stochastic gradient oracle method for distributed convex optimization problems over networks. We show that the proposed method is optimal in terms of communication steps. Additionally, we propose a new analysis…

最优化与控制 · 数学 2019-11-28 Darina Dvinskikh , Eduard Gorbunov , Alexander Gasnikov , Pavel Dvurechensky , Cesar A. Uribe

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