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We study an online learning problem on dynamic pricing and resource allocation, where we make joint pricing and inventory decisions to maximize the overall net profit. We consider the stochastic dependence of demands on the price, which…

Machine Learning · Computer Science 2025-05-23 Jianyu Xu , Xuan Wang , Yu-Xiang Wang , Jiashuo Jiang

We study online learning with bandit feedback (i.e. learner has access to only zeroth-order oracle) where cost/reward functions $\f_t$ admit a "pseudo-1d" structure, i.e. $\f_t(\w) = \loss_t(\pred_t(\w))$ where the output of $\pred_t$ is…

Machine Learning · Computer Science 2021-02-16 Aadirupa Saha , Nagarajan Natarajan , Praneeth Netrapalli , Prateek Jain

We investigate the problem of online convex optimization with unknown delays, in which the feedback of a decision arrives with an arbitrary delay. Previous studies have presented a delayed variant of online gradient descent (OGD), and…

Machine Learning · Computer Science 2021-03-23 Yuanyu Wan , Wei-Wei Tu , Lijun Zhang

We consider a family of learning strategies for online optimization problems that evolve in continuous time and we show that they lead to no regret. From a more traditional, discrete-time viewpoint, this continuous-time approach allows us…

Optimization and Control · Mathematics 2014-02-28 Joon Kwon , Panayotis Mertikopoulos

In the field of online sequential decision-making, we address the problem with delays utilizing the framework of online convex optimization (OCO), where the feedback of a decision can arrive with an unknown delay. Unlike previous research…

Machine Learning · Computer Science 2024-02-26 Ping Wu , Heyan Huang , Zhengyang Liu

Data-driven approaches to predict-then-optimize decision-making problems seek to mitigate the risk of uncertainty region misspecification in safety-critical settings. Current approaches, however, suffer from considering overly conservative…

Methodology · Statistics 2023-10-17 Yash Patel , Sahana Rayan , Ambuj Tewari

This paper investigates online composite optimization in dynamic environments, where each objective or loss function contains a time-varying nondifferentiable regularizer. To resolve it, an online proximal gradient algorithm is studied for…

Optimization and Control · Mathematics 2023-03-24 Ruijie Hou , Xiuxian Li , Yang Shi

We consider the use of decision trees for decision-making problems under the predict-then-optimize framework. That is, we would like to first use a decision tree to predict unknown input parameters of an optimization problem, and then make…

Machine Learning · Computer Science 2020-06-19 Adam N. Elmachtoub , Jason Cheuk Nam Liang , Ryan McNellis

Online advertising has recently grown into a highly competitive and complex multi-billion-dollar industry, with advertisers bidding for ad slots at large scales and high frequencies. This has resulted in a growing need for efficient…

Machine Learning · Computer Science 2023-07-04 Zhe Feng , Swati Padmanabhan , Di Wang

In this work, we study contextual strongly convex simulation optimization and adopt an "optimize then predict" (OTP) approach for real-time decision making. In the offline stage, simulation optimization is conducted across a set of…

Machine Learning · Statistics 2025-12-29 Nifei Lin , Heng Luo , L. Jeff Hong

Online convex optimization (OCO) with time-varying constraints is a critical framework for sequential decision-making in dynamic networked systems, where learners must minimize cumulative loss while satisfying regions of feasibility that…

Machine Learning · Computer Science 2026-03-17 Xiufeng Liu , Qian Chen , Zhijin Wang , Ruyu Liu

We provide the first sub-linear space and sub-linear regret algorithm for online learning with expert advice (against an oblivious adversary), addressing an open question raised recently by Srinivas, Woodruff, Xu and Zhou (STOC 2022). We…

Data Structures and Algorithms · Computer Science 2022-11-09 Binghui Peng , Fred Zhang

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints , which are constraints that need to be satisfied when accumulated over a finite number of rounds T , but can…

Machine Learning · Statistics 2015-12-24 Rodolphe Jenatton , Jim Huang , Cédric Archambeau

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

Machine Learning · Computer Science 2026-03-18 Yiming Zong , Jiashuo Jiang

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…

Computer Science and Game Theory · Computer Science 2026-05-12 Eleonora Fidelia Chiefari , Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi

We study monotone submodular maximization under general matroid constraints in the online setting. We prove that online optimization of a large class of submodular functions, namely, weighted threshold potential functions, reduces to online…

Machine Learning · Computer Science 2024-01-09 Tareq Si Salem , Gözde Özcan , Iasonas Nikolaou , Evimaria Terzi , Stratis Ioannidis

This paper studies an online optimization problem with a finite prediction window of cost functions and additional switching costs on decisions. We propose two gradient-based online algorithms: Receding Horizon Gradient Descent (RHGD), and…

Optimization and Control · Mathematics 2020-03-10 Yingying Li , Guannan Qu , Na Li

The predict-then-optimize framework is fundamental in practical stochastic decision-making problems: first predict unknown parameters of an optimization model, then solve the problem using the predicted values. A natural loss function in…

Machine Learning · Computer Science 2021-10-27 Heyuan Liu , Paul Grigas

The predict-then-optimize paradigm bridges online learning and contextual optimization in dynamic environments. Previous works have investigated the sequential updating of predictors using feedback from downstream decisions to minimize…

Optimization and Control · Mathematics 2025-11-26 Zhuojun Xie , Adam Abdin , Yiping Fang

Decision-makers often have access to machine-learned predictions about future demand that can help guide online resource allocation decisions. However, such predictions may be inaccurate. We develop a framework for online resource…

Data Structures and Algorithms · Computer Science 2026-05-19 Negin Golrezaei , Patrick Jaillet , Zijie Zhou