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We present Activation Residual Hessian Quantization (ARHQ), a post-training weight splitting method designed to mitigate error propagation in low-bit activation-weight quantization. By constructing an input-side residual Hessian from…

Machine Learning · Computer Science 2026-05-04 YiFeng Wang , Zhun Sun , Keisuke Sakaguchi

Penalized quantile regression (QR) is widely used for studying the relationship between a response variable and a set of predictors under data heterogeneity in high-dimensional settings. Compared to penalized least squares, scalable…

Methodology · Statistics 2022-05-06 Rebeka Man , Xiaoou Pan , Kean Ming Tan , Wen-Xin Zhou

The role of quantization within implicit/coordinate neural networks is still not fully understood. We note that using a canonical fixed quantization scheme during training produces poor performance at low-rates due to the network weight…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Cameron Gordon , Shin-Fang Chng , Lachlan MacDonald , Simon Lucey

The deployment of deep neural networks on resource-constrained devices necessitates effective model com- pression strategies that judiciously balance the reduction of model size with the preservation of performance. This study introduces a…

Machine Learning · Computer Science 2025-05-02 Mohammad Zbeeb , Mariam Salman , Mohammad Bazzi , Ammar Mohanna

Large language models (LLMs) are costly to deploy due to their large memory footprint and high inference cost. Weight-activation quantization can reduce these costs, but low-bit activation quantization remains difficult because activation…

Machine Learning · Computer Science 2026-05-12 Chayne Thrash , Ali Abbasi , Soheil Kolouri

One approach to reducing the massive costs of large language models (LLMs) is the use of quantized or sparse representations for training or deployment. While post-training compression methods are very popular, the question of obtaining…

Machine Learning · Computer Science 2025-06-12 Andrei Panferov , Jiale Chen , Soroush Tabesh , Roberto L. Castro , Mahdi Nikdan , Dan Alistarh

Post-Training Quantization (PTQ) has become the de-facto standard for efficient LLM deployment, yet its optimization objective remains fundamentally incomplete. Standard PTQ methods minimize reconstruction error (e.g., MSE or KL divergence)…

Artificial Intelligence · Computer Science 2026-03-19 Sunghyun Wee , Suyoung Kim , Hyeonjin Kim , Kyomin Hwang , Nojun Kwak

Continuous value prediction plays a crucial role in industrial-scale recommendation systems, including tasks such as predicting users' watch-time and estimating the gross merchandise value (GMV) in e-commerce transactions. However, it…

Information Retrieval · Computer Science 2026-02-27 Runpeng Cui , Zhipeng Sun , Chi Lu , Peng Jiang

Post-training quantization (PTQ) is a primary approach for deploying large language models without fine-tuning, and the quantized performance is often strongly affected by the calibration in PTQ. By contrast, in vision-language models…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Zhenhao Shang , Haizhao Jing , Guoting Wei , Haokui Zhang , Rong Xiao , Jianqing Gao , Peng Wang

Post-training quantization (PTQ) of large language models (LLMs) to extremely low bit-widths remains challenging due to the fundamental trade-off between computational efficiency and representational capacity. While existing ultra-low-bit…

Machine Learning · Computer Science 2026-01-05 He Xiao , Runming Yang , Qingyao Yang , Wendong Xu , Zhen Li , Yupeng Su , Zhengwu Liu , Hongxia Yang , Ngai Wong

Due to the strong correlations present in quantum systems, classical machine learning algorithms like stochastic gradient descent are often insufficient for the training of neural network quantum states (NQSs). These difficulties can be…

Quantum Physics · Physics 2021-04-23 J. Thorben Frank , Michael J. Kastoryano

Post-training model quantization is a widely adopted technique for reducing the memory and computational costs of large language models (LLMs). However, most existing methods rely on uniform or heuristic bitwidth assignments, failing to…

Machine Learning · Computer Science 2025-06-09 Chao Zhang , Li Wang , Samson Lasaulce , Merouane Debbah

Quantization is an effective technique to reduce the deployment cost of large language models (LLMs), and post-training quantization (PTQ) has been widely studied due to its efficiency. However, existing PTQ methods are limited by their…

Machine Learning · Computer Science 2025-09-30 Qitao Tan , Xiaoying Song , Jin Lu , Guoming Li , Jun Liu , Lingzi Hong , Caiwen Ding , Jundong Li , Xiaoming Zhai , Shaoyi Huang , Wei Niu , Geng Yuan

Post-training quantization (PTQ) enables efficient deployment of large language models by mapping pretrained weights to low-bit formats without retraining, typically using a small calibration set to minimize a layer-wise calibration…

Machine Learning · Computer Science 2026-05-12 Seohyeon Cha , Huancheng Chen , Dongjun Kim , Haoran Zhang , Kevin Chan , Gustavo de Veciana , Haris Vikalo

The post-training quantization (PTQ) challenge of bringing quantized neural net accuracy close to original has drawn much attention driven by industry demand. Many of the methods emphasize optimization of a specific degree-of-freedom (DoF),…

Machine Learning · Statistics 2023-03-21 Alex Finkelstein , Ella Fuchs , Idan Tal , Mark Grobman , Niv Vosco , Eldad Meller

Reinforcement learning with verifiable rewards (RLVR) has become a trending paradigm for training reasoning large language models (LLMs). However, due to the autoregressive decoding nature of LLMs, the rollout process becomes the efficiency…

Machine Learning · Computer Science 2026-02-17 Yuhang Li , Reena Elangovan , Xin Dong , Priyadarshini Panda , Brucek Khailany

Large reasoning models (LRMs) reach competition-level math and coding accuracy via long autoregressive decoding, making per-token decoding cost a primary deployment concern. Weight quantization is the standard tool for acceleration, but…

Machine Learning · Computer Science 2026-05-12 Euntae Choi , Sumin Song , Sungjoo Yoo

In this paper, we propose StableQuant, a novel adaptive post-training quantization (PTQ) algorithm for widely used speech foundation models (SFMs). While PTQ has been successfully employed for compressing large language models (LLMs) due to…

Audio and Speech Processing · Electrical Eng. & Systems 2025-04-22 Yeona Hong , Hyewon Han , Woo-jin Chung , Hong-Goo Kang

Large-scale language models (LLMs) excel in language processing tasks but face deployment challenges due to high memory and computational demands. While low-bit quantization, such as 4-bit techniques, offers a potential solution, these…

Machine Learning · Computer Science 2025-02-06 Dongyoung Lee , Seungkyu Choi , Ik Joon Chang

Post-training quantization (PTQ) has emerged as a promising technique to reduce the cost of large language models (LLMs). Specifically, PTQ can effectively mitigate memory consumption and reduce computational overhead in LLMs. To meet the…

Computation and Language · Computer Science 2024-06-07 Shiyao Li , Xuefei Ning , Luning Wang , Tengxuan Liu , Xiangsheng Shi , Shengen Yan , Guohao Dai , Huazhong Yang , Yu Wang