pub fn batch_norm_backward<T: Triton, D: Float, const BLOCK_N: i32>(
dy_ptr: T::Pointer<D>,
x_ptr: T::Pointer<D>,
dx_ptr: T::Pointer<D>,
weight_ptr: T::Pointer<D>,
mean_ptr: T::Pointer<D>,
rstd_ptr: T::Pointer<D>,
dweight_ptr: T::Pointer<D>,
dbias_ptr: T::Pointer<D>,
N: i32,
C: i32,
)where
T::I32Tensor: Tensor<i32, 1> + Comparison<i32, BoolTensor = T::BoolTensor>,
T::Pointer<D>: AddOffsets<i32, 1, T::I32Tensor, Output = T::Tensor<T::Pointer<D>>>,Expand description
Computes gradients for BatchNorm.
Given saved mean and rstd from the forward pass:
xhat = (x - mean) * rstd
dbias[c] = Σ_n dy[n,c]
dweight[c]= Σ_n dy[n,c] * xhat[n,c]
dx[n,c] = weight[c] * rstd[c] * (dy[n,c]
- dbias[c] / N
- xhat[n,c] * dweight[c] / N)Uses two sequential passes over N within the same CTA to avoid storing the full xhat tensor.
Grid: [C] — one CTA per channel.