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We consider the problem of online allocation (matching and assortments) of reusable resources where customers arrive sequentially in an adversarial fashion and allocated resources are used or rented for a stochastic duration that is drawn…

数据结构与算法 · 计算机科学 2022-07-20 Vineet Goyal , Garud Iyengar , Rajan Udwani

Online optimization problems arise in many resource allocation tasks, where the future demands for each resource and the associated utility functions change over time and are not known apriori, yet resources need to be allocated at every…

最优化与控制 · 数学 2015-02-06 Reza Eghbali , Jon Swenson , Maryam Fazel

Web-based applications such as chatbots, search engines and news recommendations continue to grow in scale and complexity with the recent surge in the adoption of LLMs. Online model selection has thus garnered increasing attention due to…

机器学习 · 计算机科学 2024-03-13 Yu Xia , Fang Kong , Tong Yu , Liya Guo , Ryan A. Rossi , Sungchul Kim , Shuai Li

We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

最优化与控制 · 数学 2023-08-02 Xilin Zhang , Wang Chi Cheung

Researchers and practitioners operating on a limited budget face the cost-performance trade-off dilemma. The challenging decision often centers on whether to use a large LLM with better performance or a smaller one with reduced costs. This…

计算与语言 · 计算机科学 2025-04-28 Guillem Ramírez , Alexandra Birch , Ivan Titov

We study the Logistic Contextual Slate Bandit problem, where, at each round, an agent selects a slate of $N$ items from an exponentially large set (of size $2^{\Omega(N)}$) of candidate slates provided by the environment. A single binary…

机器学习 · 计算机科学 2026-05-13 Tanmay Goyal , Gaurav Sinha

In this paper, we investigate the online allocation problem of maximizing the overall revenue subject to both lower and upper bound constraints. Compared to the extensively studied online problems with only resource upper bounds, the…

机器学习 · 计算机科学 2023-01-31 Qixin Zhang , Wenbing Ye , Zaiyi Chen , Haoyuan Hu , Enhong Chen , Yang Yu

Much of modern learning theory has been split between two regimes: the classical offline setting, where data arrive independently, and the online setting, where data arrive adversarially. While the former model is often both computationally…

机器学习 · 统计学 2022-06-01 Adam Block , Yuval Dagan , Noah Golowich , Alexander Rakhlin

Data-parallel (DP) load balancing has emerged as a first-order bottleneck in large-scale LLM serving. When a model is sharded across devices via tensor parallelism (TP) or expert parallelism (EP) and replicated across many DP workers, every…

分布式、并行与集群计算 · 计算机科学 2026-05-11 Tianci Bu , Yuan Lyu , Zixi Chen , Chendong Song , Hong Liang , Tsepten Gurung , Yuwei Fan , Yinyu Ye , Zijie Zhou

The rapid growth of large language models (LLMs) with diverse capabilities, costs, and domains has created a critical need for intelligent model selection at inference time. While smaller models suffice for routine queries, complex tasks…

网络与互联网体系结构 · 计算机科学 2026-04-22 Yasmin Moslem , John D. Kelleher

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

数据结构与算法 · 计算机科学 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

With the popularity of the Internet, traditional offline resource allocation has evolved into a new form, called online resource allocation. It features the online arrivals of agents in the system and the real-time decision-making…

人工智能 · 计算机科学 2020-12-17 Yifan Xu , Pan Xu , Jianping Pan , Jun Tao

We introduce the model selection problem in pure exploration linear bandits, where the learner needs to adapt to the instance-dependent complexity measure of the smallest hypothesis class containing the true model. We design algorithms in…

机器学习 · 统计学 2022-03-18 Yinglun Zhu , Julian Katz-Samuels , Robert Nowak

In this paper, we study the contextual multinomial logit (MNL) bandit problem in which a learning agent sequentially selects an assortment based on contextual information, and user feedback follows an MNL choice model. There has been a…

机器学习 · 统计学 2025-10-17 Joongkyu Lee , Min-hwan Oh

Online resource allocation (ORA) is a fundamental framework for sequential decision-making problems under budget constraints, with applications ranging from online advertising to revenue management. In this work, we study a broader setting…

计算机科学与博弈论 · 计算机科学 2026-05-12 Eleonora Fidelia Chiefari , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

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

Large Language Models (LLMs) have garnered considerable attention owing to their remarkable capabilities, leading to an increasing number of companies offering LLMs as services. Different LLMs achieve different performance at different…

软件工程 · 计算机科学 2024-05-27 Yueyue Liu , Hongyu Zhang , Yuantian Miao , Van-Hoang Le , Zhiqiang Li

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

For online resource allocation problems, we propose a new demand arrival model where the sequence of arrivals contains both an adversarial component and a stochastic one. Our model requires no demand forecasting; however, due to the…

数据结构与算法 · 计算机科学 2018-10-02 Dawsen Hwang , Patrick Jaillet , Vahideh Manshadi

We explore a novel problem in streaming submodular maximization, inspired by the dynamics of news-recommendation platforms. We consider a setting where users can visit a news website at any time, and upon each visit, the website must…

数据结构与算法 · 计算机科学 2026-01-19 Honglian Wang , Sijing Tu , Lutz Oettershagen , Aristides Gionis