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Summary of Accelerating Legacy Numerical Solvers by Non-intrusive Gradient-based Meta-solving, By Sohei Arisaka and Qianxiao Li


Accelerating Legacy Numerical Solvers by Non-intrusive Gradient-based Meta-solving

by Sohei Arisaka, Qianxiao Li

First submitted to arxiv on: 5 May 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: 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
In this paper, researchers explore ways to accelerate scientific computing by leveraging machine learning techniques for hyperparameter selection in traditional numerical methods. They propose a novel methodology that combines machine learning with legacy numerical codes without requiring modifications, using a gradient estimation technique. This approach is shown to outperform other baselines and has potential applications in accelerating established non-automatic-differentiable numerical solvers implemented in PETSc.
Low GrooveSquid.com (original content) Low Difficulty Summary
Scientific computing helps scientists make new discoveries and engineers design better products. But it’s slow and expensive. Researchers are trying to speed things up using machine learning, a type of artificial intelligence. They’re experimenting with ways to use machine learning to choose the best settings for old computer codes that don’t work well with this technology. This paper shows how they can do this without changing the old codes, by estimating the gradient (a math concept). This could help people use the latest research in their own projects and make scientific computing faster and more efficient.

Keywords

» Artificial intelligence  » Hyperparameter  » Machine learning