Do you think this also applies to kernel density estimation? I've used the R program and noticed extra density peaks that I wasn't able to explain except as artifacts. I guess it could've been picking up a mixture of distributions... but the densities appeared periodic if that makes any sense?
This is something a bit different, the effect in the paper comes from the eigenvectors of the data matrix. I'm no expert on kernel density estimation, but since it is basically just convolution, I would guess the effect you are describing comes from multiplication in Fourier space.
ATM I can only read the lead .. and then it's paywall and not yet on sci-hub :-)
Would I be right in guessing that things are only stable until the eigenvalues fall to the floor and any further dimensional reductions will easily perturb?
Sorry, I didn't have funding to pay the open access fees. The published version is very similar to the preprint: https://www.biorxiv.org/content/10.1101/2023.06.20.545619v1 Alternatively, if you want the full version, PNAS gave me some eprints to share so just email me (link on my site in my profile) and I will send you a copy!
Not sure what you mean by "things are stable" in this context, could you elaborate?
theGnuMe|2 years ago
trombonechamp|2 years ago
defrost|2 years ago
Would I be right in guessing that things are only stable until the eigenvalues fall to the floor and any further dimensional reductions will easily perturb?
trombonechamp|2 years ago
Not sure what you mean by "things are stable" in this context, could you elaborate?
ayhanfuat|2 years ago