diff --git a/qdrant-landing/content/articles/turboquant-quantization.md b/qdrant-landing/content/articles/turboquant-quantization.md index 2f50b6593..1a0a8d777 100644 --- a/qdrant-landing/content/articles/turboquant-quantization.md +++ b/qdrant-landing/content/articles/turboquant-quantization.md @@ -136,7 +136,7 @@ Truly isotropic data matches the theoretical Gaussian quantiles, the formula col ### L2 and Unnormalized Dot -Vanilla TurboQuant assumes all inputs live on the unit sphere — that is, cosine distance only. We extend the algorithm beyond the sphere by **storing the original L2 norm** and restoring L2 and unnormalized dot from normalized one, so dot and L2 cost the same as cosine in the hot path. +Vanilla TurboQuant assumes all inputs live on the unit sphere — that is, cosine distance only. We extend the scoring mechanism and unlock L2 and unnormalized dot by *storing the original L2 norm*, normalizing the vectors and then apply the L2 norm back during scoring. L2 distances are reconstructed via the identity `‖q − v‖² = ‖q‖² + ‖v‖² − 2⟨q, v⟩ = ‖q‖² + ‖v‖² − 2 ‖v‖ ‖q‖ ⟨q_normalized, v_normalized⟩`, where all components on the right-hand side are already available.