JuliaManifolds/Manifolds.jl

Multidimensional KDE based on fastKDE and Laplace-Beltrami eigendecomposition (manifold Fourier) transform

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#690 opened on Nov 30, 2023

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 (4 comments) (2 reactions) (0 assignees)Julia (72 forks)auto 404
enhancementhelp wanted

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Description

See https://www.sciencedirect.com/science/article/pii/S0167947316300408 and https://www.math.mcgill.ca/toth/spectral%20geometry.pdf (Analysis on Manifolds via the Laplacian by Yaiza Canzani). Just a crazy research idea.

Contributor guide

Research direction
Study the referenced paper and notes on Laplace Beltrami eigendecomposition. Understand the concept of manifold Fourier transform and fastKDE. Then explore existing code in Manifolds.jl for spectral methods.
Tech stack
julia
Domain
data
Issue type
Research
DifficultyEstimated implementation difficulty for a new contributor, from 1 for very small changes to 5 for expert-level work.
5
Estimated timeA rough time range for an experienced contributor to investigate, implement, test, and prepare a pull request.
Over 1 week
Activity statusHow available the issue appears right now: fresh, active, stale, blocked, or waiting on maintainer input.
Active
ClarityHow clearly the issue explains the expected change, acceptance criteria, and next step.
Needs investigation
Prerequisites
Juliamanifold theoryKDE
Newbie friendlinessA 1-100 score estimating how approachable this issue is for first-time contributors.
5