BWLA: Breaking the Barrier of W1AX Post-Training Quantization for LLMs

Zhixiong Zhao, Zukang Xu, Dawei Yang


Abstract
Large language models (LLMs) have driven major progress in NLP, yet their substantial memory and compute demands still hinder practical deployment. Binarization can compress weights to 1 bit, fundamentally lowering compute and bandwidth cost. However, existing methods cannot address activation heavy tails and thus must keep activations in high precision, preventing true end-to-end acceleration. To overcome this limitation, we propose BWLA, the first post-training quantization framework that preserves high accuracy while achieving 1-bit weight quantization together with low-bit activations (e.g., 6 bits). The Orthogonal-Kronecker Transformation (OKT) learns an orthogonal mapping via EM minimization, converting unimodal weights into symmetric bimodal forms while suppressing activation tails and incoherence. The Proximal SVD Projection (PSP) then performs lightweight low-rank refinement through proximal SVD projection, further enhancing quantizability with minimal overhead. On Qwen3-32B, BWLA reaches a Wikitext2 perplexity of 11.92 under 6-bit activations (vs. 38 from SOTA), improves five zero-shot tasks by more than 70%, and delivers 3.26× inference speedup, demonstrating strong potential for real-world LLM compression and acceleration. The code will be available at [BWLA](https://github.com/Kishon-zzx/BWLA).
Anthology ID:
2026.acl-long.880
Volume:
Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
Month:
July
Year:
2026
Address:
San Diego, California, United States
Editors:
Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
Venue:
ACL
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Publisher:
Association for Computational Linguistics
Note:
Pages:
19264–19290
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URL:
https://preview.aclanthology.org/ingest-acl/2026.acl-long.880/
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Cite (ACL):
Zhixiong Zhao, Zukang Xu, and Dawei Yang. 2026. BWLA: Breaking the Barrier of W1AX Post-Training Quantization for LLMs. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 19264–19290, San Diego, California, United States. Association for Computational Linguistics.
Cite (Informal):
BWLA: Breaking the Barrier of W1AX Post-Training Quantization for LLMs (Zhao et al., ACL 2026)
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https://preview.aclanthology.org/ingest-acl/2026.acl-long.880.pdf
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