Expand description
Randomized Hadamard Transform (RHDH): R = (1/sqrt(d’)) · H · D.
H is the Walsh-Hadamard matrix (d’ = next power of two >= d), D is a diagonal matrix of random +/-1 signs derived deterministically from a seed. After RHDH, coordinates of a unit vector are approximately N(0, 1), which makes the precomputed Lloyd-Max N(0,1) tables valid without any training pass.
The transform runs in O(d log d) via the fast Walsh-Hadamard transform.
Structs§
- Rhdh
- A reusable RHDH context: the random sign diagonal for a padded dimension.
Functions§
- fwht
- Fast in-place Walsh-Hadamard transform (unnormalized).
v.len()must be a power of two. - padded_
dim - Pad dimension up to the next power of two.