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Online learning and model reference adaptive control have many interesting intersections. One area where they differ however is in how the algorithms are analyzed and what objective or metric is used to discriminate "good" algorithms from…

Systems and Control · Electrical Eng. & Systems 2025-01-24 Travis E. Gibson , Sawal Acharya

We consider a non-stochastic online learning approach to price financial options by modeling the market dynamic as a repeated game between the nature (adversary) and the investor. We demonstrate that such framework yields analogous…

Data Structures and Algorithms · Computer Science 2014-06-25 Henry Lam , Zhenming Liu

We revisit the problem of online learning with sleeping experts/bandits: in each time step, only a subset of the actions are available for the algorithm to choose from (and learn about). The work of Kleinberg et al. (2010) showed that there…

Machine Learning · Computer Science 2021-04-27 Ehsan Emamjomeh-Zadeh , Chen-Yu Wei , Haipeng Luo , David Kempe

Regret Matching+ (RM+) and its variants are important algorithms for solving large-scale games. However, a theoretical understanding of their success in practice is still a mystery. Moreover, recent advances on fast convergence in games are…

Computer Science and Game Theory · Computer Science 2023-05-25 Gabriele Farina , Julien Grand-Clément , Christian Kroer , Chung-Wei Lee , Haipeng Luo

We investigate online convex optimization in non-stationary environments and choose the dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

Machine Learning · Computer Science 2020-12-01 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

We consider online convex optimization with stochastic constraints where the objective functions are arbitrarily time-varying and the constraint functions are independent and identically distributed (i.i.d.) over time. Both the objective…

Optimization and Control · Mathematics 2019-08-02 Xiaohan Wei , Hao Yu , Michael J. Neely

While the long-ranged correlation of market orders and their impact on prices has been relatively well studied in the literature, the corresponding studies of limit orders and cancellations are scarce. We provide here an empirical study of…

Trading and Market Microstructure · Quantitative Finance 2015-03-13 Zoltan Eisler , Jean-Philippe Bouchaud , Julien Kockelkoren

In the random-order online set cover problem, the instance with $m$ sets and $n$ elements is chosen in a worst-case fashion, but then the elements arrive in a uniformly random order. Can this random-order model allow us to circumvent the…

Data Structures and Algorithms · Computer Science 2025-11-11 Anupam Gupta , Marco Molinaro , Matteo Russo

In feature-based dynamic pricing, a seller sets appropriate prices for a sequence of products (described by feature vectors) on the fly by learning from the binary outcomes of previous sales sessions ("Sold" if valuation $\geq$ price, and…

Machine Learning · Computer Science 2022-04-04 Jianyu Xu , Yu-Xiang Wang

In the experts problem, on each of $T$ days, an agent needs to follow the advice of one of $n$ ``experts''. After each day, the loss associated with each expert's advice is revealed. A fundamental result in learning theory says that the…

Data Structures and Algorithms · Computer Science 2023-03-10 Binghui Peng , Aviad Rubinstein

Linear Fisher market is one of the most fundamental economic models. The market is traditionally examined on the basis of individual's price-taking behavior. However, this assumption breaks in markets such as online advertising and…

Computer Science and Game Theory · Computer Science 2024-07-17 Juncheng Li , Pingzhong Tang

Motivated by the strategic participation of electricity producers in electricity day-ahead market, we study the problem of online learning in repeated multi-unit uniform price auctions focusing on the adversarial opposing bid setting. The…

Computer Science and Game Theory · Computer Science 2025-01-20 Marius Potfer , Dorian Baudry , Hugo Richard , Vianney Perchet , Cheng Wan

This paper examines the long-run behavior of learning with bandit feedback in non-cooperative concave games. The bandit framework accounts for extremely low-information environments where the agents may not even know they are playing a…

Computer Science and Game Theory · Computer Science 2018-10-05 Mario Bravo , David S. Leslie , Panayotis Mertikopoulos

We study how a decision-maker (DM) learns from data of unknown quality to form robust, ''general-purpose'' posterior beliefs. We develop a framework for robust learning and belief formation under a minimax-regret criterion, cast as a…

Theoretical Economics · Economics 2026-02-18 Yeon-Koo Che , Longjian Li , Tianling Luo

We study repeated bilateral trade when the valuations of the sellers and the buyers are contextual. More precisely, the agents' valuations are given by the inner product of a context vector with two unknown $d$-dimensional vectors -- one…

Computer Science and Game Theory · Computer Science 2026-02-16 Romain Cosson , Federico Fusco , Anupam Gupta , Stefano Leonardi , Renato Paes Leme , Matteo Russo

An $\alpha$-potential game is a multi-player non-cooperative interaction in which a global potential function approximates individual player rewards up to a structural bias $\alpha$. While identifying a Nash Equilibrium (NE) in generic…

Computer Science and Game Theory · Computer Science 2026-05-19 Claire Chen , Yuheng Zhang

We study online learning in repeated first-price auctions where a bidder, only observing the winning bid at the end of each auction, learns to adaptively bid in order to maximize her cumulative payoff. To achieve this goal, the bidder faces…

Machine Learning · Computer Science 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

Supply chain management (SCM) has been recognized as an important discipline with applications to many industries, where the two-echelon stochastic inventory model, involving one downstream retailer and one upstream supplier, plays a…

Machine Learning · Computer Science 2023-10-24 Mengxiao Zhang , Shi Chen , Haipeng Luo , Yingfei Wang

Online marketplaces frequently run pricing experiments in environments where users choose from a list of items. In these settings, items compete for users' limited attention and demand, creating interference among items within a list:…

Econometrics · Economics 2026-03-17 Mahyar Habibi , Zahra Khanalizadeh , Negar Ziaeian

This paper investigates the impact of pre-existing offline data on online learning, in the context of dynamic pricing. We study a single-product dynamic pricing problem over a selling horizon of $T$ periods. The demand in each period is…

Machine Learning · Computer Science 2021-11-18 Jinzhi Bu , David Simchi-Levi , Yunzong Xu