B-Spline function support for Go

Example With Plots

This library provides 2 implementations of B-Spline using the same API: one that evaluates fully in Go (CPU, slower) and one using GoMLX for ML and/or accelerators.

Highlights:

• Support for zero, constant or linear extrapolation beyond the region defined by the knots.
• Derivative B-spline.
• GoMLX "vector" version in github.com/gomlx/gomlx/ml/layers/kan
  • Building block to build KAN: Kolmogorov–Arnold Networks
  • Batch evaluation.
  • Multiple control points -- for various different B-splines to be applied to the same input points. They share the same basis function calculation for improved efficiency.
• Plotting using GoNB Jupyter Notebook.
• See demo notebook with some plot samples.

Changes Log

v0.2.0

• Moved GoMLX code to github.com/gomlx/gomlx/ml/layers/kan, to avoid circular dependency across repositories.