Loading Now

Summary of Double Descent: Understanding Linear Model Estimation Of Nonidentifiable Parameters and a Model For Overfitting, by Ronald Christensen


Double Descent: Understanding Linear Model Estimation of Nonidentifiable Parameters and a Model for Overfitting

by Ronald Christensen

First submitted to arxiv on: 23 Aug 2024

Categories

  • Main: Machine Learning (stat.ML)
  • Secondary: Machine Learning (cs.LG); Statistics Theory (math.ST)

     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
This paper explores various methods for estimating parameters in cases where the number of features (p) exceeds the number of samples (n). The authors examine ordinary least squares estimation, as well as its variations such as penalized least squares and spectral shrinkage estimates. They also discuss prediction methods for new observations and introduce notational changes to facilitate discussions on overfitting. The paper concludes by illustrating the phenomenon of double descent.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper is about finding the best way to guess what’s going on when you have more features than data points. The authors look at different methods, like regularized least squares, to help solve this problem. They also talk about predicting new results and how to avoid overfitting. The main idea is that there are many ways to approach this challenge, and the authors want to show which ones work best.

Keywords

* Artificial intelligence  * Overfitting