KronQ: LLM Quantization via Kronecker-Factored Hessian
Paper • 2607.07964 • Published • 33
Paper: arXiv:2607.07964 · Code: GitHub
Meta-Llama-3-70B quantized to 4-bit weights / 16-bit activations with KronQ (Kronecker-factored Hessian quantization). Weights are stored packed int4 (~36 GB); a fused dequant + bidirectional-incoherence (BiIP) CUDA kernel unpacks them on the fly.
Perplexity: 3.26
Zero-shot accuracy:
| PIQA | ARC-E | ARC-C | HellaSwag | WinoGrande | BoolQ | OBQA | Average |
|---|---|---|---|---|---|---|---|
| 84.22 | 81.73 | 61.69 | 84.75 | 79.08 | 86.82 | 48.00 | 75.18 |
(lm-evaluation-harness, 0-shot. acc_norm for PIQA/HellaSwag/ARC/OBQA, acc for WinoGrande/BoolQ.)
KronQ-packed checkpoint. Load with the KronQ runtime:
python eval_pretrained.py meta-llama/Meta-Llama-3-70B donghyunli/Meta-Llama-3-70B-KronQ-W4A16 --ppl --zs
Per-channel asymmetric W4, weight-only (a_bits=16), --alpha 0.25, BiIP, act_order, raw H_G. 128 WikiText-2 calibration sequences.
Derivative of Meta-Llama-3-70B — llama3 license.
Base model
meta-llama/Meta-Llama-3-70B