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Add clarifying notes to polynomial tutorials about fit limitations

Open patrocinio opened this issue 1 month ago • 1 comments

Addresses feedback that the 3rd-degree polynomial fit for sin(x) over [-π, π] may be confusing for beginners. Added educational notes explaining that:

  • The example demonstrates gradient descent mechanics, not perfect fitting
  • 3rd-degree polynomials have mathematical limitations for this task
  • Higher-order terms (5th, 7th degree) are needed for better accuracy
  • The imperfect fit is expected and teaches model architecture selection

Fixes #3607

Description

Checklist

  • [ ] The issue that is being fixed is referred in the description (see above "Fixes #ISSUE_NUMBER")
  • [ ] Only one issue is addressed in this pull request
  • [ ] Labels from the issue that this PR is fixing are added to this pull request
  • [ ] No unnecessary issues are included into this pull request.

patrocinio avatar Nov 27 '25 16:11 patrocinio