arXiv:2606. 01412v1 Announce Type: new Abstract: Post-training quantization is widely used for compressing large neural networks, but aggressive low-bit quantization can significantly degrade model quality.
By Shihao Zhang, Rayan Saab
arXiv:2610.16020v1 Announce Type: cross
Abstract: Layer-wise post-training quantization methods let each layer compensate for the quantization error inherited from earlier layers. We ask under what a...
By Tianhao Guo
arXiv:2609.37416v1 Announce Type: new
Abstract: Post-training quantization (PTQ) methods in the GPTQ family minimize a layer-wise reconstruction error on a uniform grid whose scale must be chosen; th...
By Jonas von Berg, Massimiliano Datres, Carlo Knei{\ss}l, Gitta Kutyniok
arXiv:2607. 07964v1 Announce Type: new Abstract: Post-training quantization (PTQ) is a widely adopted technique for compressing large language models (LLMs) without retraining.
By Donghyun Lee, Yuhang Li, Ruokai Yin, Priyadarshini Panda
The paper introduces a unified Hessian-guided framework for post‑training quantization of large language models. By deriving a Hessian‑based approximation of output changes, it jointly optimizes quantization ranges, linear transformations, and weight rounding under a single output‑sensitivity objective. The method remains practical for modern models and consistently outperforms existing transformation and rounding techniques in both channel‑wise and block‑wise settings.
By Mads Toftrup, Marco Federici, Boris van Breugel, Paul Whatmough, Markus Nagel
arXiv:2607. 21446v1 Announce Type: new Abstract: Post-training quantization (PTQ) of diffusion transformers (DiTs) to W4A4 severely degrades output quality, because activations entering each linear layer contain outliers that 4-bit formats cannot represent.
By Yann Bouquet, Alireza Khodamoradi, Kristof Denolf, Mathieu Salzmann
arXiv:2605. 13768v2 Announce Type: replace-cross Abstract: This is the second part of the work investigating quantized matrix multiplication (MatMul).
By Or Ordentlich, Yury Polyanskiy
arXiv:2603. 10485v3 Announce Type: replace-cross Abstract: In this work, we study the convergence properties of the Dual Space Preconditioned Gradient Descent, encompassing optimizers such as Normalized Gradient Descent and Gradient Clipping.
By Reza Ghane, Danil Akhtiamov, Babak Hassibi
arXiv:2607. 13380v1 Announce Type: new Abstract: Predictive Coding (PC) offers a biologically motivated alternative to backpropagation via local weight updates, yet routing error between layers still relies on an autograd Jacobian-transpose ($J^\top$) product - the last non-local operation in PC.
By Junlong Shen, Xingyu Li
arXiv:2603. 00910v2 Announce Type: replace-cross Abstract: Layer-wise capacity in large language models is highly non-uniform: some layers contribute disproportionately to loss reduction, whereas others are nearly redundant.
By Theophilus Amaefuna, Hitesh Vaidya, Anshuman Chhabra, Ankur Mali
arXiv:2609.06430v1 Announce Type: new
Abstract: We study the identity straight-through estimator (STE) for training a two-layer binary-activation network with hinge loss from the perspective of Stati...
By Yiming Ying
The paper introduces a unified Hessian-guided framework for post-training quantization of large language models. It derives a Hessian-based approximation of output changes due to joint weight and activation quantization, enabling simultaneous optimization of quantization ranges, linear transformations, and weight rounding under a single output-sensitivity objective. The method remains practical for modern models and consistently outperforms existing transformation and rounding techniques in both channel-wise and block-wise settings.