Feature/gemmbf16xfp32#47
Open
shaochangxu wants to merge 2 commits into
Open
Conversation
added 2 commits
May 28, 2026 19:00
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
This mr addresses the performance bottleneck of BF16xFP32 matrix multiplication (GEMM) in LLM inference and proposes a high-precision FP32 GEMM operator based on double BF16 residual decomposition. In traditional approaches, naive FP32 GEMM relies on CUDA Cores, achieving high accuracy but low throughput, while reduced-precision schemes such as BF16 or TF32 can leverage Tensor Core acceleration but suffer from severe accuracy loss. The proposed method decomposes the FP32 weight matrix W into a high‑part BF16 tensor W_high and a low‑residual BF16 tensor W_low, sets the scaling factor scale = 1/256, and equivalently transforms the original GEMM into a linear combination of two BF16 GEMMs.