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Summary of Improving Sample Efficiency Of High Dimensional Bayesian Optimization with Mcmc, by Zeji Yi et al.


Improving sample efficiency of high dimensional Bayesian optimization with MCMC

by Zeji Yi, Yunyue Wei, Chu Xin Cheng, Kaibo He, Yanan Sui

First submitted to arxiv on: 5 Jan 2024

Categories

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

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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 proposed method, based on Markov Chain Monte Carlo (MCMC), efficiently samples from an approximated posterior to overcome the curse of dimensionality in high-dimensional spaces. This approach is particularly effective for Gaussian process Thompson sampling, providing theoretical guarantees of convergence. Experimental results demonstrate that both MCMC-based methods outperform state-of-the-art algorithms in sequential optimization and reinforcement learning benchmarks.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper proposes a new method called Markov Chain Monte Carlo to help computers find the best solutions in high-dimensional spaces. This helps solve the “curse of dimensionality” problem, which makes it hard for computers to explore all possible options. The method is based on an idea called Gaussian process Thompson sampling and provides strong guarantees that it will work well. In tests, this new method did better than existing methods in finding good solutions.

Keywords

* Artificial intelligence  * Optimization  * Reinforcement learning