KronQ: LLM Quantization via Kronecker-Factored Hessian
Paper • 2607.07964 • Published • 33
Paper: arXiv:2607.07964 · Code: GitHub
Llama-2-70b quantized to 4-bit weights / 16-bit activations, group size 128, with KronQ (Kronecker-factored Hessian quantization). Packed int4 (~35 GB); fused dequant + BiIP CUDA kernel with per-group scales.
Perplexity: 3.380
Zero-shot accuracy:
| PIQA | ARC-E | ARC-C | HellaSwag | WinoGrande | BoolQ | OBQA | Average |
|---|---|---|---|---|---|---|---|
| 82.70 | 79.21 | 56.23 | 84.05 | 79.79 | 84.95 | 48.40 | 73.62 |
(lm-evaluation-harness 0-shot; acc_norm for PIQA/HellaSwag/ARC, acc for WinoGrande/BoolQ.)
python eval_pretrained.py meta-llama/Llama-2-70b-hf donghyunli/Llama-2-70b-KronQ-W4A16-g128 --ppl --zs --distribute
(70B: --distribute spreads across GPUs.)
Group-128 asymmetric W4, weight-only, --alpha 0.25, --act_order, BiIP, raw H_G.
Derivative of Llama-2-70b — llama2 license.
Base model
meta-llama/Llama-2-70b-hf