Title
Multi-Environment Meta-Learning in Stochastic Linear Bandits.
Abstract
In this work we investigate meta-learning (or learning-to-learn) approaches in multi-task linear stochastic bandit problems that can originate from multiple environments. Inspired by the work of [1] on meta-learning in a sequence of linear bandit problems whose parameters are sampled from a single distribution (i.e., a single environment), here we consider the feasibility of meta-learning when task parameters are drawn from a mixture distribution instead. For this problem, we propose a regularized version of the OFUL algorithm that, when trained on tasks with labeled environments, achieves low regret on a new task without requiring knowledge of the environment from which the new task originates. Specifically, our regret bound for the new algorithm captures the effect of environment misclassification and highlights the benefits over learning each task separately or meta-learning without recognition of the distinct mixture components.
Year
DOI
Venue
2022
10.1109/ISIT50566.2022.9834636
International Symposium on Information Theory (ISIT)
DocType
ISSN
Citations 
Conference
IEEE International Symposium on Information Theory (ISIT), 2022
0
PageRank 
References 
Authors
0.34
0
5