Loading Now

Summary of Bridging the Gap Between Approximation and Learning Via Optimal Approximation by Relu Mlps Of Maximal Regularity, By Ruiyang Hong et al.


Bridging the Gap Between Approximation and Learning via Optimal Approximation by ReLU MLPs of Maximal Regularity

by Ruiyang Hong, Anastasis Kratsios

First submitted to arxiv on: 18 Sep 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Neural and Evolutionary Computing (cs.NE); Functional Analysis (math.FA); Numerical Analysis (math.NA); Machine Learning (stat.ML)

     Abstract of paper      PDF of paper


GrooveSquid.com Paper Summaries

GrooveSquid.com’s goal is to make artificial intelligence research accessible by summarizing AI papers in simpler terms. Each summary below covers the same AI paper, written at different levels of difficulty. The medium difficulty and low difficulty versions are original summaries written by GrooveSquid.com, while the high difficulty version is the paper’s original abstract. Feel free to learn from the version that suits you best!

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 paper explores the relationship between approximation and learning theory in deep learning. It highlights the tension between models that need not generalize but are large and expressive, versus those that generalize well but may be too small or constrained to be universal approximators. The authors investigate whether there exists a class of neural networks that balances expressiveness and generalizability.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper looks at how deep learning works. It talks about big models that don’t need to guess everything correctly, versus smaller models that are good at making predictions but might not be good at anything else. The question is whether there’s a middle ground where models can be both really good and also general enough.

Keywords

» Artificial intelligence  » Deep learning