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Four-Bit Matrix Math Was Waiting on the Softmax

A hardware-aware FlashAttention path maps scores directly to FP4 probabilities and carries forward quantization into the backward pass.

Published Updated Story ID: mp-2026-09-04-014
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Summary

A hardware-aware FlashAttention path maps scores directly to FP4 probabilities and carries forward quantization into the backward pass.

Shrinking matrix products on Blackwell tensor cores exposes conversion and on-chip dependency costs elsewhere in attention. Direct-P reached up to 2.13 times BF16 forward throughput for noncausal inference on an NVIDIA GB200. A causal training route reused quantized queries and keys with FP8 gradient operands, accelerating a complete single-GPU 8B update by up to 1.14 times. In matched distributed training, every tested MXFP4 probability-and-value trajectory diverged, sharply limiting the claim.

Why it matters

A hardware-aware FlashAttention path maps scores directly to FP4 probabilities and carries forward quantization into the backward pass.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. A hardware-aware FlashAttention path maps scores directly to FP4 probabilities and carries forward quantization into the backward pass.

    Evidence: source-2026-09-04-014

Sources

  1. arXiv preprint 2609.04105arXiv · primary research

Corrections

No corrections have been recorded for this story.