titleFlash-GMM: A Memory-Efficient Kernel for Scalable Soft Clustering
authorsGal Bloch, Ariel Gera, Matan Orbach, Ohad Eytan, Assaf Toledo
date2026-06-09
venuearXiv (preprint, not peer reviewed)
idarXiv:2606.10896
affiliationIBM Research
upvotes8 (Hugging Face Daily Papers, 2026-11-01)
linksabs pdf hf code
abstractWe present Flash-GMM, a fused Triton kernel for efficient computation of Gaussian Mixture Models (GMMs) over large-scale data in a single GPU pass. By eliminating the need to materialize the full responsibility matrix in GPU memory, Flash-GMM achieves a 20times speedup over existing implementations and enables training on datasets more than 100times larger than previously feasible on one device. To demonstrate its impact, we integrate Flash-GMM into the IVF coarse quantizer for approximate nearest-neighbor (ANN) search. We show that soft GMM clustering is now a viable drop-in replacement for k-means, and that GMM responsibilities can be leveraged to assign border vectors to multiple clusters. Our approach reaches fixed recall targets with up to 1.7times fewer distance computations, or equivalently, yields +2--12 recall@10 at matched computational cost. We release the kernel as an open-source project.

cite

@misc{bloch2026flash,
  title={Flash-GMM: A Memory-Efficient Kernel for Scalable Soft Clustering},
  author={Gal Bloch and Ariel Gera and Matan Orbach and Ohad Eytan and Assaf Toledo},
  year={2026},
  eprint={2606.10896},
  archivePrefix={arXiv},
  url={https://arxiv.org/abs/2606.10896}
}