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Summary of Laser: a New Method For Locally Adaptive Nonparametric Regression, by Sabyasachi Chatterjee et al.


LASER: A new method for locally adaptive nonparametric regression

by Sabyasachi Chatterjee, Subhajit Goswami, Soumendu Sundar Mukherjee

First submitted to arxiv on: 27 Dec 2024

Categories

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

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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
A new machine learning model, called LASER (Locally Adaptive Smoothing Estimator for Regression), is introduced, which performs variable bandwidth local polynomial regression efficiently. This method adapts optimally to the underlying regression function’s local Hölder exponent at all points in its domain, with a single ideal choice of global tuning parameter. The proposed approach outperforms popular locally adaptive methods in various numerical experiments.
Low GrooveSquid.com (original content) Low Difficulty Summary
LASER is a new way to do math problems on computers. It helps make predictions by looking at patterns in the data. What’s special about this tool is that it can figure out how to best fit the data, depending on where you are in the data set. This makes it really good at finding patterns and making accurate predictions.

Keywords

* Artificial intelligence  * Machine learning  * Regression