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Summary of Chained Information-theoretic Bounds and Tight Regret Rate For Linear Bandit Problems, by Amaury Gouverneur et al.


Chained Information-Theoretic bounds and Tight Regret Rate for Linear Bandit Problems

by Amaury Gouverneur, Borja Rodríguez-Gálvez, Tobias J. Oechtering, Mikael Skoglund

First submitted to arxiv on: 5 Mar 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
In this paper, researchers explore the performance of a modified Thompson-Sampling algorithm in solving bandit problems. By building upon previous information-theoretic frameworks, they establish new regret bounds that are dependent on the metric entropy of the action space. This work has implications for applications such as multi-armed bandits and online learning.
Low GrooveSquid.com (original content) Low Difficulty Summary
This study looks at how well an improved version of Thompson-Sampling does in solving certain types of problems called bandit problems. It’s based on previous research that used ideas from information theory to understand how algorithms do. The new algorithm works better than before, especially when the possible actions are far apart in a special kind of space.

Keywords

* Artificial intelligence  * Online learning