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We consider the online control problem with an unknown linear dynamical system in the presence of adversarial perturbations and adversarial convex loss functions. Although the problem is widely studied in model-based control, it remains…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Zishun Liu , Yongxin Chen

Existing online learning algorithms for adversarial Markov Decision Processes achieve ${O}(\sqrt{T})$ regret after $T$ rounds of interactions even if the loss functions are chosen arbitrarily by an adversary, with the caveat that the…

Machine Learning · Computer Science 2023-10-27 Tiancheng Jin , Junyan Liu , Chloé Rouyer , William Chang , Chen-Yu Wei , Haipeng Luo

We consider the problem of transfer learning in an online setting. Different tasks are presented sequentially and processed by a within-task algorithm. We propose a lifelong learning strategy which refines the underlying data representation…

Machine Learning · Statistics 2019-10-14 Pierre Alquier , The Tien Mai , Massimiliano Pontil

Bayesian optimisation is a popular method for efficient optimisation of expensive black-box functions. Traditionally, BO assumes that the search space is known. However, in many problems, this assumption does not hold. To this end, we…

Machine Learning · Statistics 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Huong Ha , Svetha Venkatesh

An analyst observes the frequency with which an agent takes actions, but not the frequency with which she takes actions conditional on a payoff relevant state. In this setting, we ask when the analyst can rationalize the agent's choices as…

Theoretical Economics · Economics 2023-07-27 Laura Doval , Ran Eilat

Prominent opinion formation models such as the one by Friedkin and Johnsen (FJ) concentrate on the effects of peer pressure on public opinions. In practice, opinion formation is also based on information about the state of the world and…

Computer Science and Game Theory · Computer Science 2025-09-10 Martin Hoefer , Tim Koglin , Tolga Tel

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

In high-stakes applications, predictive models must not only produce accurate predictions but also quantify and communicate their uncertainty. Reject-option prediction addresses this by allowing the model to abstain when prediction…

Artificial Intelligence · Computer Science 2026-05-05 Vojtech Franc , Jakub Paplham

Bayesian optimisation (BO) is a well-known efficient algorithm for finding the global optimum of expensive, black-box functions. The current practical BO algorithms have regret bounds ranging from $\mathcal{O}(\frac{logN}{\sqrt{N}})$ to…

Machine Learning · Computer Science 2026-04-28 Hung Tran-The , Sunil Gupta , Santu Rana , Svetha Venkatesh

We consider the problem of online learning with non-convex losses. In terms of feedback, we assume that the learner observes - or otherwise constructs - an inexact model for the loss function encountered at each stage, and we propose a…

Machine Learning · Computer Science 2020-10-19 Amélie Héliou , Matthieu Martin , Panayotis Mertikopoulos , Thibaud Rahier

Bayesian persuasion and its derived information design problem has been one of the main research agendas in the economics and computation literature over the past decade. However, when attempting to apply its model and theory, one is often…

Computer Science and Game Theory · Computer Science 2023-03-21 Bonan Ni , Weiran Shen , Pingzhong Tang

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

Machine Learning · Computer Science 2021-09-30 Yassir Jedra , Alexandre Proutiere

We study online reinforcement learning in linear Markov decision processes with adversarial losses and bandit feedback, without prior knowledge on transitions or access to simulators. We introduce two algorithms that achieve improved regret…

Machine Learning · Computer Science 2023-10-19 Haolin Liu , Chen-Yu Wei , Julian Zimmert

In online inverse linear optimization, a learner observes time-varying sets of feasible actions and an agent's optimal actions, selected by solving linear optimization over the feasible actions. The learner sequentially makes predictions of…

Machine Learning · Computer Science 2025-05-23 Shinsaku Sakaue , Taira Tsuchiya , Han Bao , Taihei Oki

Bayesian optimization is a framework for global search via maximum a posteriori updates rather than simulated annealing, and has gained prominence for decision-making under uncertainty. In this work, we cast Bayesian optimization as a…

Machine Learning · Computer Science 2022-03-24 Amrit Singh Bedi , Dheeraj Peddireddy , Vaneet Aggarwal , Brian M. Sadler , Alec Koppel

We study a dynamic model of Bayesian persuasion in sequential decision-making settings. An informed principal observes an external parameter of the world and advises an uninformed agent about actions to take over time. The agent takes…

Computer Science and Game Theory · Computer Science 2022-05-25 Jiarui Gan , Rupak Majumdar , Goran Radanovic , Adish Singla

In online marketplaces, customers have access to hundreds of reviews for a single product. Buyers often use reviews from other customers that share their type -- such as height for clothing, skin type for skincare products, and location for…

Computer Science and Game Theory · Computer Science 2023-09-12 Wenshuo Guo , Nika Haghtalab , Kirthevasan Kandasamy , Ellen Vitercik

Bayesian bandit algorithms with approximate Bayesian inference have been widely used in real-world applications. However, there is a large discrepancy between the superior practical performance of these approaches and their theoretical…

Machine Learning · Computer Science 2023-11-13 Ziyi Huang , Henry Lam , Amirhossein Meisami , Haofeng Zhang

We study the problem of making predictions of an adversarially chosen high-dimensional state that are unbiased subject to an arbitrary collection of conditioning events, with the goal of tailoring these events to downstream decision makers.…

Machine Learning · Computer Science 2023-10-30 Georgy Noarov , Ramya Ramalingam , Aaron Roth , Stephan Xie

We study a persuasion problem in which a sender designs an information structure to induce a non-Bayesian receiver to take a particular action. The receiver, who is privately informed about his preferences, is a wishful thinker: he is…

Theoretical Economics · Economics 2023-12-01 Victor Augias , Daniel M. A. Barreto
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