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Everything about Local regression

Moving average and polynomial regression method for smoothing data

Local regression or local polynomial regression, also known as moving regression, is a generalization of the moving average and polynomial regression. Its most common methods, initially developed for scatterplot smoothing, are LOESS and LOWESS, both pronounced LOH-ess. They are two strongly related non-parametric regression methods that combine multiple regression models in a k-nearest-neighbor-based meta-model. In some fields, LOESS is known and commonly referred to as Savitzky–Golay filter. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Local regressionA 5-minute orientation
  2. Skim a recent paper: Coverage error optimal confidence intervals for local polynomial regressionInfluential work since 2022
  3. Pick up a classic book: Costs of government services in North Dakota countiesThe most-reprinted book on the subject
  4. Read the landmark paper: Robust Locally Weighted Regression and Smoothing ScatterplotsCited 14,990 times
  5. Go sideways: Logistic regressionA closely related topic
  6. Go sideways: Kernel smootherA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

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