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Summary of Convergence Of a L2 Regularized Policy Gradient Algorithm For the Multi Armed Bandit, by Stefana Anita and Gabriel Turinici


Convergence of a L2 regularized Policy Gradient Algorithm for the Multi Armed Bandit

by Stefana Anita, Gabriel Turinici

First submitted to arxiv on: 9 Feb 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Artificial Intelligence (cs.AI); Data Structures and Algorithms (cs.DS); Machine Learning (cs.LG); Numerical Analysis (math.NA)

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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
The research paper investigates the theoretical properties of the policy gradient algorithm used for Multi Armed Bandit (MAB) problems with an L2 regularization term and softmax parametrization. The authors prove convergence under certain technical hypotheses and test the procedure numerically, including situations beyond the theoretical setting. The results show that a time-dependent regularized procedure can improve over the canonical approach, especially when the initial guess is far from the solution.
Low GrooveSquid.com (original content) Low Difficulty Summary
In this paper, scientists study how to make computers learn by trying different options and choosing the best one. They look at two common ways to do this: Multi Armed Bandit (MAB) and policy gradient approach. The researchers focus on a special type of MAB that uses something called L2 regularization and softmax parametrization. They want to know if this way works well and can be improved. By doing some math and testing it with computers, they find out that this method can actually do better than the usual way when we start by guessing something that’s not quite right.

Keywords

* Artificial intelligence  * Regularization  * Softmax