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Thanks for bug report and repro steps! I've filed this issue at https://github.com/motiwari/BanditPAM/issues/244 on our repo.
I suspect that this is because the scikit-learn implementation of KMeans subsamples the data and uses some highly-optimized data structures for larger datasets. I've asked the team to see how we can use some of those techniques in BanditPAM and will update the Github repo as we learn more and improve our implementation.
Hey, great work. Do you think this algorithm would be amenable to be done online? I'm the author of River (https://riverml.xyz) where we're looking for good online clustering algorithms.
> frown on that sort of dataset
That example was definitely contrived and designed to strongly illustrate the point. I'll counter slightly that non-peaky topologies aren't uncommon, but they're unlikely to look anything that would push KMedoids to a pathological state rather than just a slightly worse state ("worse" assuming that KMeans is the right choice for a given problem).
> worth pointing out .. data reference
Totally agreed. I hope my answer didn't come across as too negative. It's good work, and everyone else was talking about the positives, so I just didn't want to waste too much time echoing again that while getting the other points across.
> bolt reference
https://github.com/dblalock/bolt
They say as much in their paper, but they aren't the first vector quantization library by any stretch. Their contributions are, roughly:
1. If you're careful selecting the right binning strategy then you can cancel out a meaningful amount of discretization error.
2. If you do that, you can afford to choose parameters that fit everything nicely into AVX2 machine words, turning 100s of branching instructions into 1-4 instructions.
3. Doing some real-world tests to show that (1-2) matter.
Last I checked their code wasn't very effective for the places I wanted to apply it, but the paper is pretty solid. I'd replace it with a faster KMeans approximation less likely to crash on big data (maybe even initializing with KMedoids :) ), and if the thing you're quantizing is trainable with some sort of gradient update step then you should do a few optimization passes in the discretized form as well.
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