https://github.com/juliaspacephysics/minimumvarianceanalysis.jl

minimum or maximum variance analysis (MVA)
https://github.com/juliaspacephysics/minimumvarianceanalysis.jl

space-physics

Last synced: 4 months ago
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minimum or maximum variance analysis (MVA)

• Host: GitHub
• URL: https://github.com/juliaspacephysics/minimumvarianceanalysis.jl
• Owner: JuliaSpacePhysics
• License: mit
• Created: 2025-08-28T06:12:41.000Z (10 months ago)
• Default Branch: main
• Last Pushed: 2025-09-01T15:10:42.000Z (9 months ago)
• Last Synced: 2025-09-06T00:21:11.835Z (9 months ago)
• Topics: space-physics
• Language: Julia
• Homepage: https://juliaspacephysics.github.io/MinimumVarianceAnalysis.jl/
• Size: 219 KB
• Stars: 0
• Watchers: 0
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

          
# MinimumVarianceAnalysis

[![Build Status](https://github.com/JuliaSpacePhysics/MinimumVarianceAnalysis.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/JuliaSpacePhysics/MinimumVarianceAnalysis.jl/actions/workflows/CI.yml?query=branch%3Amain)

[![Coverage](https://codecov.io/gh/JuliaSpacePhysics/MinimumVarianceAnalysis.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/JuliaSpacePhysics/MinimumVarianceAnalysis.jl)

[![Aqua](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)

The main purpose of minimum or maximum variance analysis (MVA) is to find an estimator for the direction normal $\hat{𝐧}$ to an approximately one-dimensional structure, by minimisation of

$$

σ^2=\frac{1}{M} ∑_{m=1}^M | (𝐁^{(m)}-⟨𝐁⟩) · \hat{𝐧}|^2.

$$

See [SPEDAS](https://juliaspacephysics.github.io/SPEDAS.jl/dev/explanations/coords/) for more details. See [SPEDAS validation](https://juliaspacephysics.github.io/SPEDAS.jl/dev/validation/pyspedas/#Minimum-variance-analysis) for comparison with a Python implementation (pyspedas).

**Installation**: at the Julia REPL, run `using Pkg; Pkg.add("MinimumVarianceAnalysis")`

**Documentation**: [![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://JuliaSpacePhysics.github.io/MinimumVarianceAnalysis.jl/dev/)

## Reference

- [Sonnerup, B. U. Ö., & Scheible, M. (1998). Minimum and maximum variance analysis. ISSI Scientific Reports Series, 1, 185–220.](https://ui.adsabs.harvard.edu/abs/1998ISSIR...1..185S/abstract)

## Roadmap

- [ ] Minimum Variance Analysis on Mass Flux (MVAρv)

- [ ] Maximum Variance Analysis on Electric Field (MVAE)

- [ ] Application to 2-D Structures

## Notes

- Anisotropic fluctuations have been shown to lead to larger errors in normal determinations.