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In this paper, we investigate the problem about how to bid in repeated contextual first price auctions. We consider a single bidder (learner) who repeatedly bids in the first price auctions: at each time $t$, the learner observes a context…

Machine Learning · Computer Science 2021-11-11 Ashwinkumar Badanidiyuru , Zhe Feng , Guru Guruganesh

The society's insatiable appetites for personal data are driving the emergency of data markets, allowing data consumers to launch customized queries over the datasets collected by a data broker from data owners. In this paper, we study how…

Computational Engineering, Finance, and Science · Computer Science 2019-12-02 Chaoyue Niu , Zhenzhe Zheng , Fan Wu , Shaojie Tang , Guihai Chen

We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

Machine Learning · Computer Science 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

Combinatorial optimization problems involving multiple agents are notoriously challenging due to their NP-hard nature and the necessity for effective agent coordination. Despite advancements in learning-based methods, existing approaches…

Multiagent Systems · Computer Science 2025-10-23 Federico Berto , Chuanbo Hua , Laurin Luttmann , Jiwoo Son , Junyoung Park , Kyuree Ahn , Changhyun Kwon , Lin Xie , Jinkyoo Park

The problem of constrained Markov decision process is considered. An agent aims to maximize the expected accumulated discounted reward subject to multiple constraints on its costs (the number of constraints is relatively small). A new dual…

Optimization and Control · Mathematics 2022-10-21 Egor Gladin , Maksim Lavrik-Karmazin , Karina Zainullina , Varvara Rudenko , Alexander Gasnikov , Martin Takáč

We study revenue optimization learning algorithms for repeated second-price auctions with reserve where a seller interacts with multiple strategic bidders each of which holds a fixed private valuation for a good and seeks to maximize his…

Computer Science and Game Theory · Computer Science 2019-06-25 Alexey Drutsa

We study infinite-horizon average-reward constrained Markov decision processes (CMDPs) under the unichain assumption and general policy parameterizations. Existing regret analyses for constrained reinforcement learning largely rely on…

Machine Learning · Computer Science 2026-02-10 Anirudh Satheesh , Vaneet Aggarwal

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

Computer Science and Game Theory · Computer Science 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

Retrieval-Augmented Generation (RAG) improves reliability of large language models by incorporating external knowledge, but the retrieval process can introduce bias that propagates to generated outputs. This issue is particularly…

Databases · Computer Science 2026-05-18 Yingqi Zhao , Vasilis Efthymiou , Jyrki Nummenmaa , Kostas Stefanidis

Constraint Acquisition (CA) aims to widen the use of constraint programming by assisting users in the modeling process. However, most CA methods suffer from a significant drawback: they learn a single set of individual constraints for a…

Artificial Intelligence · Computer Science 2024-12-20 Dimos Tsouros , Senne Berden , Steven Prestwich , Tias Guns

The online advertising market, with its thousands of auctions run per second, presents a daunting challenge for advertisers who wish to optimize their spend under a budget constraint. Thus, advertising platforms typically provide automated…

Machine Learning · Computer Science 2023-10-17 Dmytro Korenkevych , Frank Cheng , Artsiom Balakir , Alex Nikulkov , Lingnan Gao , Zhihao Cen , Zuobing Xu , Zheqing Zhu

This thesis develops theoretical frameworks and algorithms that advance constrained reinforcement learning (RL) across control, preference learning, and alignment of large language models. The first contribution addresses constrained Markov…

Machine Learning · Computer Science 2025-12-12 Akhil Agnihotri

We study the bidding problem in repeated uniform price multi-unit auctions from the perspective of a value-maximizing buyer. The buyer aims to maximize their cumulative value over $T$ rounds while adhering to per-round return-on-investment…

Data Structures and Algorithms · Computer Science 2025-10-07 Negin Golrezaei , Sourav Sahoo

In this short technical note we propose a baseline for decision-aware learning for contextual linear optimization, which solves stochastic linear optimization when cost coefficients can be predicted based on context information. We propose…

Machine Learning · Computer Science 2022-11-10 Connor Lawless , Angela Zhou

Generative Retrieval (GR) is rapidly transforming e-commerce search by replacing traditional multi-stage pipelines with the autoregressive decoding of structured Semantic IDs (SIDs). Despite this architectural efficiency, aligning GR models…

Information Retrieval · Computer Science 2026-04-29 Zhiguo Chen , Guohao Sun , Yiming Qiu , Xingzhi Yao , Mingming Li , Huimu Wang , Yangqi Zhang , Songlin Wang , Sulong Xu

We study Online Convex Optimization with adversarial constraints (COCO). At each round a learner selects an action from a convex decision set and then an adversary reveals a convex cost and a convex constraint function. The goal of the…

Machine Learning · Computer Science 2025-11-17 Abhishek Sinha , Rahul Vaze

An important challenge in multi-objective reinforcement learning is obtaining a Pareto front of policies to attain optimal performance under different preferences. We introduce Iterated Pareto Referent Optimisation (IPRO), which decomposes…

Machine Learning · Computer Science 2025-02-07 Willem Röpke , Mathieu Reymond , Patrick Mannion , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

Revenue-optimal auction design is a challenging problem with significant theoretical and practical implications. Sequential auction mechanisms, known for their simplicity and strong strategyproofness guarantees, are often limited by…

Computer Science and Game Theory · Computer Science 2024-07-12 Sai Srivatsa Ravindranath , Zhe Feng , Di Wang , Manzil Zaheer , Aranyak Mehta , David C. Parkes

Most microeconomic models of interest involve optimizing a piecewise linear function. These include contract design in hidden-action principal-agent problems, selling an item in posted-price auctions, and bidding in first-price auctions.…

Computer Science and Game Theory · Computer Science 2025-03-04 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study Online Convex Optimization (OCO) with adversarial constraints, where an online algorithm must make sequential decisions to minimize both convex loss functions and cumulative constraint violations. We focus on a setting where the…

Machine Learning · Statistics 2025-03-14 Jordan Lekeufack , Michael I. Jordan