Title
Online Learning with Many Experts.
Abstract
We study the problem of prediction with expert advice when the number of experts in question may be extremely large or even infinite. We devise an algorithm that obtains a tight regret bound of $widetilde{O}(epsilon T + N + sqrt{NT})$, where $N$ is the empirical $epsilon$-covering number of the sequence of loss functions generated by the environment. In addition, we present a hedging procedure that allows us to find the optimal $epsilon$ in hindsight. Finally, we discuss a few interesting applications of our algorithm. We show how our algorithm is applicable in the approximately low rank experts model of Hazan et al. (2016), and discuss the case of experts with bounded variation, in which there is a surprisingly large gap between the regret bounds obtained in the statistical and online settings.
Year
Venue
Field
2017
arXiv: Learning
Online learning,Regret,Hedge (finance),Artificial intelligence,Bounded variation,Hindsight bias,Machine learning,Mathematics
DocType
Volume
Citations 
Journal
abs/1702.07870
2
PageRank 
References 
Authors
0.41
16
2
Name
Order
Citations
PageRank
Alon Cohen1115.28
Shie Mannor23340285.45