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Offline-to-Online Learning in Linear Bandits

Amii21 July 2026Watch on YouTube

Description

We study online learning with an additional offline dataset in the stochastic linear bandit setting. Although this problem arises frequently in practice, the offline-to-online tradeoff remains poorly understood in structured environments. We propose a linear bandit algorithm that balances this tradeoff: it relies on offline data during early rounds, and increasingly favors exploration as the horizon grows. We establish regret bounds showing that our method is simultaneously competitive with both purely online and purely offline solutions. In particular, it achieves sublinear regret relative to the optimal action in the number of online interactions, while its regret relative to an offline reference decreases as the number of offline samples grows. Empirical results further demonstrate its effectiveness across various problem parameters. BIO: Kushagra Chandak is a PhD student at the University of Alberta supervised by Dr. Xiaoqi Tan, where he also received his MSc with Dr. Csaba Szepesvari and Dr. Nidhi Hegde. His research interests are in bandits and reinforcement learning with a focus on how to improve online learning using offline data in terms of efficiency and safety.

What you'll learn

  • You learn how online learning algorithms can combine offline datasets to perform better in linear bandit settings
  • The algorithm balances offline and online learning by relying on offline data early and increasingly favoring exploration as the horizon grows
  • The approach achieves sublinear regret on online interactions while regret relative to offline references decreases with more offline samples

Frequently asked questions

What is the core problem this research addresses?
The research focuses on the poorly understood offline-to-online tradeoff in linear bandit settings. In practice, we often have both offline datasets and opportunities for online learning, but the optimal balance between the two was previously unclear.
How does the algorithm divide its effort between offline data and online exploration?
The algorithm relies heavily on offline data in early stages but gradually shifts toward more exploration as more online interactions become available. This adaptive approach ensures competitive performance under both extremes.
What are the two measures of regret in this method?
The algorithm is evaluated on two fronts: sublinear regret relative to the optimal action measured in online interactions, and decreasing regret relative to an offline reference that improves with more offline samples.

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