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MoE: remove the replicated-activation repeat in RoutedMoE.permute #4913
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Using$O(N \log N)$ sorting kernel (like RadixSort or BitonicSort), which has poor hardware utilization on TPU.
jnp.argsortto invert a permutation on TPU is highly inefficient because it compiles to anSince$O(N)$ time using a scatter operation:
sort_indicesis guaranteed to be a permutation of0..N-1, we can invert it injnp.empty_like(sort_indices).at[sort_indices].set(jnp.arange(sort_indices.shape[0])). This compiles to a highly optimized scatter/transpose-like operation on TPU, significantly speeding up the backward pass.Note: The same optimization can be applied to
_sort_activations_custom_bwdandunpermutein a separate PR to further improve performance.