MoE Grouped GEMM
Optimized implementation of MoE MLP Block.
Licensed under AGPLv3.
Background
MoE MLP requires the following steps:
- Calculate
topk_weightsandtopk_indices - If using a grouped gemm implementation, calculate permutation indices needed to rearrange tokens grouped by expert
- For each expert:
expert_tokens: gather the tokens assigned to the expertfirst_gemm:gate / up proj@expert_tokenssilu_and_mul:siluandmuloffirst_gemmsecond_gemm:silu_and_mul@down projscatter_second_gemm: scatter thesecond_gemmto the original token ordertopk_weight_mul:second_gemm@topk_weightsfinal_output: iftopk > 1,topk_weight_mul.view(num_tokens, topk, -1).sum(dim=1)elsetopk_weight_mul
One way to eliminate the loop is to use a grouped GEMM, where all expert GEMMs are computed within a single kernel, which iterates over tiles of the expert GEMMs as individual GEMMs, where each GEMM, the A matrix is M' x K and the B matrix is K x N, where M' is the number of tokens assigned to the expert and B is the weight matrix for that expert.
This requires an additional permute (and subsequent copy) of the hidden states such that the tokens assigned to each expert are contiguous in memory before running the first grouped GEMM within the Expert MLP.
Additionally, after the second grouped GEMM, the hidden states must be permuted back to the original token order and multiplied by topk_weights to get the final output.
Optimizations
This repo implements a grouped GEMM-based MoE MLP with the following optimizations:
- Eliminates the loop over experts by performing gemms as a grouped GEMM, computing the expert gemms within a single fused triton kernel
- Fuses the permutation of hidden states from token order (original input order) to expert order (tokens grouped by expert) within the prologue of first the first grouped GEMM
- Fuses the (un)permutation of hidden states from expert order back to token order in second GEMM
- Fuses the mul of hidden states by expert weights within epilogue of second GEMM (only implemented for inference, not for training)
Structure
grouped_gemm/interface.py: wrappers for the individual forward / backward kernels as well as thetorch.autograd.Functiongrouped_gemm/kernels/forward.py: forward kernelgrouped_gemm/kernels/backward.py: backward dX and dW kernelsgrouped_gemm/kernels/tuning.py: manual tuning utilsgrouped_gemm/kernels/autotuning.py: autotuning utilsgrouped_gemm/reference/moe_block.py: containsQwen3MoeFusedGroupedGEMMBlock, a reference implementation of HuggingfaceQwen3SparseMOEBlockwith fused triton kernel in-place of original HF expert computationgrouped_gemm/reference/moe_ops.py: supporting ops (routing, token sorting, etc.) and reference MoE block using a torch-native grouped gemm approach.
Tests
grouped_gemm/tests/test_grouped_gemm.py: unit tests for forward, backward grouped gemm kernels as well as the wrapped grouped gemm autograd.Function. Best not to run this entire test suite at once due to the large number of parametrized unit tests. Rather, use filters to run specific sets of tests. E.g., to run forward tests with autotune turned on:pytest -sv -k "forward and autotune" --tb=short tests/test_grouped_gemm.py. Use the test function names and parameter ids for words to filter on.grouped_gemm/tests/test_qwen3_moe.py: end to end test for Qwen3 MoE block. IMPORTANT: readtests/run_qwen3_moe_tests.shas well as notes in the test itself for complications when running parametrized pytest test suites and triton / autotune. TLDR: use the test script and NOT pytest to run the tests.
Benchmarks
grouped_gemm/benchmark/benchmark_fused_moe.py: benchmarks HFQwen3SpareMOEBlockorLlama4TextMoeagainst the fused implementation
Running with these flags on an H100 to bench forward pass (run with --help to see all available flags):
For Qwen3-30B-A3B:
python benchmark/benchmark_fused_moe.py --model qwen3 --mode forward --seqlen 1024 --permute_x --permute_y --autotune
For the backward bench:
python benchmark/benchmark_fused_moe.py --model qwen3 --mode backward --seqlen 1024 --permute_x --permute_y --autotune
For Llama-4-Scout-17B-16E:
python benchmark/benchmark_fused_moe.py --model llama4 --autotune --mode=forward --permute_y
Ditto for backwards.
Notes
- Tested and benched on
H100, though should run on Ampere and possibly even earlier gpu generations though the autotuning configs will need to be adjusted. - The env I used to develop the kernel was
pytorch 2.7/2.8andpytorch-triton 3.3. - The kernels can be run either as autotuned (see
autotuning.py) or with manually specified config (seetuning.py). Recommended to run using autotuner since the MoE block requires 2 configs for the forward (2 grouped gemms) and 4 for the backwards (dX and dW per grouped gemm, 2 grouped gemms). - Running with autotuning turned off with the default manual kernel config will result is highly sub-optimal performance as it is only meant for testing / debugging purposes.
- I've tried to strike a balance between compilation time and autotuning search space -- can probably squeeze even more performance for specific workloads.
- The Llama4 reference layer is still highly under-optimized as there are many low-hanging opportunities for further speedups around routing and shared expert calculation.
TODO:
- TMA store: implemented but not enabled currently due to non-determinism arising from triton pipelining bug.
- Warp specialization: Hopper support for WS not yet enabled on triton 3.3x branch which ships with latest pytorch 2.7.
- Additional optimizations:
- Fused / optimized implementations of routing, token sorting, etc.
- Better software pipelining within grouped gemm
- Threadblock swizzling for better L2 caching
- Llama4
- Fused gather / topk weight merging
- Custom topk, gather indices kernel
- Shared expert fusion with experts calculation