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Published 20 hours ago • verified publisher icon SciML

Diffusion Map

Open dynamic-queries opened this issue 3 years ago • 2 comments
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For non-linear data reduction, Diffusion maps should be considered, as there is good deal of work done here wrt Data Driven MOR methods.

https://www.sciencedirect.com/science/article/pii/S1063520306000546?via%3Dihub

Implementation friendly description at https://mediatum.ub.tum.de/download/1356533/1356533.pdf , page 46

dynamic-queries avatar Jul 06 '22 14:07 dynamic-queries

Could leverage implementations from https://github.com/wildart/ManifoldLearning.jl here. Although I would like to build on it for optimal embedding as they discuss here https://www.sciencedirect.com/science/article/pii/S1063520315000949?ref=cra_js_challenge&fr=RR-1 . @ChrisRackauckas Would it make sense re-implementing the diffusion maps to add this "optimal embedding feature" ?

dynamic-queries avatar Jul 29 '22 15:07 dynamic-queries

Reusing code is usually good, though I know there are some issues with many of the diffusion map libraries in Julia so 🤷 . https://github.com/wildart/ManifoldLearning.jl has had maintenance issues since forever so reimplementing might be a fine idea.

ChrisRackauckas avatar Aug 01 '22 17:08 ChrisRackauckas