JuliaApproximation / JuliaApproximation/ApproxFun.jl
Spline basis for data interpolation.
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- Dominant language
- Julia
- Stars
- 559
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Description
Hello! I'm trying to use ApproxFun for some Functional Data Analysis, as it has a lot of quite nice features for the work I'm doing.
From other issues, I see that I can use ApproxFun.transform to fit some data to a certain space.
For example, using one of the samples I'm working with, obtain the following fit.
Fun(Chebyshev(-1..1), ApproxFun.transform(Chebyshev(-1..1), reverse(tecator[:,1])))

However, for my applications I need to be able to use a prioritise closely fitting the data. Looking at Interpolations.jl it seems to be quite helpful for this.
Using a spline, I get:

This is much more useful for my purposes.
Would it be possible for me to use this as a basis?
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start with the ApproxFun.transform and Chebyshev examples shown in the issue, then compare the desired spline behavior with the Interpolations.jl example. Define what a supported spline basis would need to provide and how completion would be demonstrated by fitting the sample data more closely.
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Assessment
- Tech stack
- julia
- Domain
- data
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 35/100