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We study the problem of online multiclass classification in a setting where the learner's feedback is determined by an arbitrary directed graph. While including bandit feedback as a special case, feedback graphs allow a much richer set of…

机器学习 · 计算机科学 2024-02-20 Dirk van der Hoeven , Federico Fusco , Nicolò Cesa-Bianchi

In the classic sequential testing problem, we are given a system with several components each of which fails with some independent probability. The goal is to identify whether or not some component has failed. When the test costs are…

数据结构与算法 · 计算机科学 2025-01-31 Blake Harris , Viswanath Nagarajan , Rayen Tan

Standard planners for sequential decision making (including Monte Carlo planning, tree search, dynamic programming, etc.) are constrained by an implicit sequential planning assumption: The order in which a plan is constructed is the same in…

Most learning algorithms with formal regret guarantees assume that all mistakes are recoverable and essentially rely on trying all possible behaviors. This approach is problematic when some mistakes are "catastrophic", i.e., irreparable. We…

机器学习 · 计算机科学 2025-08-07 Benjamin Plaut , Hanlin Zhu , Stuart Russell

We study the fundamental problem of sequential probability assignment, also known as online learning with logarithmic loss, with respect to an arbitrary, possibly nonparametric hypothesis class. Our goal is to obtain a complexity measure…

机器学习 · 计算机科学 2024-10-08 Ziyi Liu , Idan Attias , Daniel M. Roy

In the contextual pricing problem a seller repeatedly obtains products described by an adversarially chosen feature vector in $\mathbb{R}^d$ and only observes the purchasing decisions of a buyer with a fixed but unknown linear valuation…

数据结构与算法 · 计算机科学 2021-02-25 Allen Liu , Renato Paes Leme , Jon Schneider

Statistical performance bounds for reinforcement learning (RL) algorithms can be critical for high-stakes applications like healthcare. This paper introduces a new framework for theoretically measuring the performance of such algorithms…

机器学习 · 计算机科学 2018-01-03 Christoph Dann , Tor Lattimore , Emma Brunskill

Modern large-scale statistical models require to estimate thousands to millions of parameters. This is often accomplished by iterative algorithms such as gradient descent, projected gradient descent or their accelerated versions. What are…

机器学习 · 统计学 2020-03-04 Michael Celentano , Andrea Montanari , Yuchen Wu

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

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

机器学习 · 计算机科学 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

We use surrogate losses to obtain several new regret bounds and new algorithms for contextual bandit learning. Using the ramp loss, we derive new margin-based regret bounds in terms of standard sequential complexity measures of a benchmark…

机器学习 · 计算机科学 2018-11-06 Dylan J. Foster , Akshay Krishnamurthy

We study the problem of stochastic contextual bandits in the agnostic setting, where the goal is to compete with the best policy in a given class without assuming realizability or imposing model restrictions on losses or rewards. In this…

机器学习 · 统计学 2026-04-06 Samuel Girard , Aurelien Bibaut , Arthur Gretton , Nathan Kallus , Houssam Zenati

Two central problems in Stochastic Optimization are Min Sum Set Cover and Pandora's Box. In Pandora's Box, we are presented with $n$ boxes, each containing an unknown value and the goal is to open the boxes in some order to minimize the sum…

机器学习 · 计算机科学 2022-06-02 Evangelia Gergatsouli , Christos Tzamos

Optimization models used to make discrete decisions often contain uncertain parameters that are context-dependent and estimated through prediction. To account for the quality of the decision made based on the prediction, decision-focused…

机器学习 · 计算机科学 2024-07-30 Noah Schutte , Krzysztof Postek , Neil Yorke-Smith

Modern machine learning approaches to classification, including AdaBoost, support vector machines, and deep neural networks, utilize surrogate loss techniques to circumvent the computational complexity of minimizing empirical classification…

计量经济学 · 经济学 2023-07-26 Toru Kitagawa , Shosei Sakaguchi , Aleksey Tetenov

In this paper, we study the problem of fair sequential decision making with biased linear bandit feedback. At each round, a player selects an action described by a covariate and by a sensitive attribute. The perceived reward is a linear…

统计理论 · 数学 2022-06-06 Solenne Gaucher , Alexandra Carpentier , Christophe Giraud

The Pandora's Box Problem, originally formalized by Weitzman in 1979, models selection from set of random, alternative options, when evaluation is costly. This includes, for example, the problem of hiring a skilled worker, where only one…

计算机科学与博弈论 · 计算机科学 2024-02-20 Shant Boodaghians , Federico Fusco , Philip Lazos , Stefano Leonardi

We provide the first oracle efficient sublinear regret algorithms for adversarial versions of the contextual bandit problem. In this problem, the learner repeatedly makes an action on the basis of a context and receives reward for the…

机器学习 · 计算机科学 2016-02-09 Vasilis Syrgkanis , Akshay Krishnamurthy , Robert E. Schapire

LLM routing aims to select the most appropriate model for each query, balancing competing performance metrics such as accuracy and cost across a pool of language models. Prior approaches typically adopt a decoupled strategy, where the…

人工智能 · 计算机科学 2026-01-05 Asterios Tsiourvas , Wei Sun , Georgia Perakis

Motivated by programmatic advertising optimization, we consider the task of sequentially allocating budget across a set of resources. At every time step, a feasible allocation is chosen and only a corresponding random return is observed.…

人工智能 · 计算机科学 2024-10-02 Juliette Achddou , Olivier Cappe , Aurélien Garivier