New NVFP4 trick: compressing block scales saves 45-48% per expert matrix, bit-exact

TheZachMueller · x · 2026-10-16

A new NVFP4 technique (shown on Qwen): block scales are 1 byte each, but 99%+ of scales within a row sit within a few E4M3 code steps of each other. Encoding each 16-row slab with a 1-byte row base plus 4-bit offsets—keeping 0.3% exceptions at full quality for 4 extra bits—saves 45-48% storage per expert matrix while remaining bit-exact, touching neither the packed E2M1 weights nor the FP32 global scale.

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