arXiv AI By Liuyuan Wen, Xun Zhu, Lihao Huang, Wenbin Li, Yang Gao

The Shape of Addition: Geometric Structures of Arithmetic in Large Language Models

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arXiv:2606. 03645v1 Announce Type: cross Abstract: Large Language Models exhibit paradoxical fragility in fundamental arithmetic, implying a disconnect between internal computation and discrete output.

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arXiv Machine Learning
Sep 11

Why Does Post-Training Quantization Work?

Post‑training quantization compresses large language models by storing weights at reduced precision, introducing errors into hidden states that could accumulate with depth. However, pretrained models accumulate far less hidden‑state error than randomly initialized ones, largely preserving downstream performance. The study identifies two key mechanisms: (1) each layer’s new error tends to oppose inherited error, partially canceling it, and (2) the LM‑head geometry preserves high‑rank token scores, mitigating output changes.

By Yuxiang Chen, Michael Beyer, Jun Zhu, Jianfei Chen