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Smooth spline curve fitted through a cloud of noisy data points forming a Chua attractor

University of Minnesota Morris2013

B-Spline Parameter Estimation

Fitting differential equation models to noisy data using spline-based least squares

Summary

Applied B-spline least-squares fitting to estimate parameters of the Chua chaotic circuit from noisy experimental data.

Challenge

Estimate dynamical system parameters without requiring initial guesses — a common failure point in traditional methods.

Contribution

Implemented iterative B-spline fitting; developed rearranged matrix formulation reducing computation by ~10×.

Outcome

Demonstrated parameter recovery without initialization; rearrangement cut runtime from 30s to ~2s per iteration.

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  • B-Spline Parameter Estimation — Poster
  • B-Spline Parameter Estimation — Research