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Summary of Closing the Gap: Achieving Global Convergence (last Iterate) Of Actor-critic Under Markovian Sampling with Neural Network Parametrization, by Mudit Gaur and Amrit Singh Bedi and Di Wang and Vaneet Aggarwal


Closing the Gap: Achieving Global Convergence (Last Iterate) of Actor-Critic under Markovian Sampling with Neural Network Parametrization

by Mudit Gaur, Amrit Singh Bedi, Di Wang, Vaneet Aggarwal

First submitted to arxiv on: 3 May 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Artificial Intelligence (cs.AI)

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High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The paper presents a comprehensive theoretical analysis of Actor-Critic (AC) algorithms, bridging the gap between practical implementations and current state-of-the-art theoretical understanding. The authors advocate for considering five crucial practical aspects: multi-layer neural network parametrization, Markovian sampling, continuous state-action spaces, the performance of the last iterate, and global optimality. By incorporating these MMCLG criteria into the analysis, the paper establishes sample complexity bounds of ({^{-3}}) for global convergence. The authors employ novel techniques, including the weak gradient domination property of MDP’s and a unique analysis of critic estimation error.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper fills an important gap in understanding Actor-Critic algorithms by considering practical aspects that are often overlooked in theoretical analyses. It presents a comprehensive analysis of AC algorithms that includes five crucial criteria: multi-layer neural networks, Markovian sampling, continuous state-action spaces, last iterate performance, and global optimality. The authors establish sample complexity bounds for global convergence, making this research important for machine learning practitioners.

Keywords

» Artificial intelligence  » Machine learning  » Neural network