Summary of Infinite-horizon Reinforcement Learning with Multinomial Logistic Function Approximation, by Jaehyun Park et al.
Infinite-Horizon Reinforcement Learning with Multinomial Logistic Function Approximation
by Jaehyun Park, Junyeop Kwon, Dabeen Lee
First submitted to arxiv on: 19 Jun 2024
Categories
- Main: Machine Learning (cs.LG)
- Secondary: Optimization and Control (math.OC)
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Summary difficulty | Written by | Summary |
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High | Paper authors | High Difficulty Summary Read the original abstract here |
Medium | GrooveSquid.com (original content) | Medium Difficulty Summary A machine learning researcher proposes a novel model-based reinforcement learning algorithm that leverages non-linear function approximation to efficiently learn complex Markov decision processes (MDPs). The approach is designed for both infinite-horizon average-reward and discounted-reward settings, ensuring provably efficient performance. For average-reward communicating MDPs, the algorithm guarantees a regret upper bound of (dD), while for discounted-reward MDPs, it achieves (d(1-)^{-2}) regret. The paper complements these upper bounds with several regret lower bounds, including (d) for learning communicating MDPs and (d(1-)^{3/2}) for learning discounted-reward MDPs. Additionally, the researcher provides a regret lower bound of (dH^{3/2}) for learning H-horizon episodic MDPs with multinomial logistic function approximation. |
Low | GrooveSquid.com (original content) | Low Difficulty Summary This paper introduces a new model-based reinforcement learning algorithm that can efficiently learn complex Markov decision processes. The algorithm is designed to work well in both infinite-horizon and discounted-reward settings, which makes it useful for many real-world applications. The researchers also prove that their algorithm works well by showing that its performance is close to the best possible, given the limitations of the problem. |
Keywords
» Artificial intelligence » Machine learning » Reinforcement learning