Comment by lmcinnes

> alignment tooling is fascinating, as we increasingly want to re-fit->embed over time as our envs change and compare, eg, day-over-day analysis. This area is not well-defined yet common for anyone operational so seems ripe for innovation

It is probably not all the things you want, but AlignedUMAP can do some of this right now: https://umap-learn.readthedocs.io/en/latest/aligned_umap_bas...

If you want to do better than that, I would suggest that the quite new landmarked parametric UMAP options are actually very good this: https://umap-learn.readthedocs.io/en/latest/transform_landma...

Training the parametric UMAP is a little more expensive, but the new landmarked based updating really does allow you to steadily update with new data and have new clusters appear as required. Happy to chat as always, so reach out if you haven't already looked at this and it seems interesting.