{"id":31039195,"url":"https://github.com/juliaspacephysics/minimumvarianceanalysis.jl","last_synced_at":"2026-02-13T06:38:19.115Z","repository":{"id":312041803,"uuid":"1046063112","full_name":"JuliaSpacePhysics/MinimumVarianceAnalysis.jl","owner":"JuliaSpacePhysics","description":"minimum or maximum variance analysis (MVA)","archived":false,"fork":false,"pushed_at":"2025-09-01T15:10:42.000Z","size":224,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":0,"default_branch":"main","last_synced_at":"2025-09-06T00:21:11.835Z","etag":null,"topics":["space-physics"],"latest_commit_sha":null,"homepage":"https://juliaspacephysics.github.io/MinimumVarianceAnalysis.jl/","language":"Julia","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/JuliaSpacePhysics.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null}},"created_at":"2025-08-28T06:12:41.000Z","updated_at":"2025-09-01T15:10:39.000Z","dependencies_parsed_at":"2025-08-28T12:57:44.244Z","dependency_job_id":"abf78bbb-fea0-4c9e-9bc8-555c19e5d4eb","html_url":"https://github.com/JuliaSpacePhysics/MinimumVarianceAnalysis.jl","commit_stats":null,"previous_names":["juliaspacephysics/minimumvarianceanalysis.jl"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/JuliaSpacePhysics/MinimumVarianceAnalysis.jl","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaSpacePhysics%2FMinimumVarianceAnalysis.jl","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaSpacePhysics%2FMinimumVarianceAnalysis.jl/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaSpacePhysics%2FMinimumVarianceAnalysis.jl/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaSpacePhysics%2FMinimumVarianceAnalysis.jl/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/JuliaSpacePhysics","download_url":"https://codeload.github.com/JuliaSpacePhysics/MinimumVarianceAnalysis.jl/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/JuliaSpacePhysics%2FMinimumVarianceAnalysis.jl/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":275076569,"owners_count":25401316,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","status":"online","status_checked_at":"2025-09-14T02:00:10.474Z","response_time":75,"last_error":null,"robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":true,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["space-physics"],"created_at":"2025-09-14T07:51:19.909Z","updated_at":"2026-02-13T06:38:19.109Z","avatar_url":"https://github.com/JuliaSpacePhysics.png","language":"Julia","funding_links":[],"categories":[],"sub_categories":[],"readme":"# MinimumVarianceAnalysis\n\n[![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)\n[![Coverage](https://codecov.io/gh/JuliaSpacePhysics/MinimumVarianceAnalysis.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/JuliaSpacePhysics/MinimumVarianceAnalysis.jl)\n[![Aqua](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)\n\nThe 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\n\n$$\nσ^2=\\frac{1}{M} ∑_{m=1}^M | (𝐁^{(m)}-⟨𝐁⟩) · \\hat{𝐧}|^2.\n$$\n\nSee [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).\n\n**Installation**: at the Julia REPL, run `using Pkg; Pkg.add(\"MinimumVarianceAnalysis\")`\n\n**Documentation**: [![Dev](https://img.shields.io/badge/docs-dev-blue.svg)](https://JuliaSpacePhysics.github.io/MinimumVarianceAnalysis.jl/dev/)\n\n## Reference\n\n- [Sonnerup, B. U. Ö., \u0026 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)\n\n## Roadmap\n\n- [ ] Minimum Variance Analysis on Mass Flux (MVAρv)\n- [ ] Maximum Variance Analysis on Electric Field (MVAE)\n- [ ] Application to 2-D Structures\n\n## Notes\n\n- Anisotropic fluctuations have been shown to lead to larger errors in normal determinations.","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliaspacephysics%2Fminimumvarianceanalysis.jl","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fjuliaspacephysics%2Fminimumvarianceanalysis.jl","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fjuliaspacephysics%2Fminimumvarianceanalysis.jl/lists"}