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Quantization is a widely-used compression technology to reduce the overhead of serving large language models (LLMs) on terminal devices and in cloud data centers. However, prevalent quantization methods, such as 8-bit weight-activation or…

Hardware Architecture · Computer Science 2024-10-17 Lian Liu , Haimeng Ren , Long Cheng , Zhaohui Xu , Yudong Pan , Mengdi Wang , Xiaowei Li , Yinhe Han , Ying Wang

The goal of the paper is to study specific properties of nonbinary low-density parity-check (NB LDPC) codes when used in coded modulation systems. The paper is focused on the practically important NB LDPC codes over extensions of the Galois…

Information Theory · Computer Science 2022-05-25 Irina E. Bocharova , Boris D. Kudryashov , Evgenii P. Ovsyannikov , Vitaly Skachek

Quantization effectively reduces the serving costs of Large Language Models (LLMs) by speeding up data movement through compressed parameters and enabling faster operations via integer arithmetic. However, activating integer arithmetic…

Machine Learning · Computer Science 2025-06-04 Patrik Czakó , Gábor Kertész , Sándor Szénási

Post Training Quantization (PTQ), a mainstream model compression technique, often leads to the paradoxical 'low error, high loss' phenomenon because it focuses solely on minimizing quantization error. The root cause lies in the Hessian…

Machine Learning · Computer Science 2026-01-30 Jinhao Zhang Yunquan Zhang , Zicheng yan , Boyang Zhang , Jun Sun , Daning Cheng

Post-training quantization (PTQ) reduces a model's memory footprint by mapping full precision weights into low bit weights without costly retraining, but can degrade its downstream performance especially in low 2- to 3-bit settings. We…

Machine Learning · Computer Science 2025-07-18 Hanqi Xiao , Yi-Lin Sung , Elias Stengel-Eskin , Mohit Bansal

We apply the influence-adaptive Walsh geometry of a companion theory paper (arXiv:2605.01637) to extreme low-bit weight-only LLM quantization. The recipe is one math-invariant transformation: WHT-rotate each linear layer's weight matrix and…

Machine Learning · Computer Science 2026-05-26 Gorgi Pavlov

Large language models (LLMs) have transformed artificial intelligence, yet classical architectures impose a fundamental constraint: every trainable parameter demands classical memory that scales unfavourably with model size. Quantum…

Quantum Physics · Physics 2026-05-08 Borja Aizpurua , Sukhbinder Singh , Augustine Kshetrimayum , Saeed S. Jahromi , Roman Orus

Quantization is a key method for reducing the GPU memory requirement of training large language models (LLMs). Yet, current approaches are ineffective for 4-bit activations and 8-bit gradients, which would easily cause slow convergence or…

Computation and Language · Computer Science 2026-05-12 Wenxiang Lin , Juntao Huang , Luhan Zhang , Laili Li , Xiang Bao , Mengyang Zhang , Bing Wang , Shaohuai Shi

Large language models (LLMs) face significant computational and memory challenges, making extremely low-bit quantization crucial for their efficient deployment. In this work, we introduce SDQ-LLM: Sigma-Delta Quantization for 1-bit LLMs of…

Machine Learning · Computer Science 2025-10-07 Junhao Xia , Ming Zhao , Limin Xiao , Xiujun Zhang

KV-cache memory is a major bottleneck in real-world LLM serving, where systems must simultaneously support latency-sensitive small-batch requests and high-throughput concurrent workloads. Although many KV-cache compression methods improve…

A natural and intuitive idea in model quantization is to approximate each component's quantized output to match its original. Motivated by this idea, most layer-wise post-training quantization (PTQ) methods focus on weight approximation at…

Machine Learning · Computer Science 2026-01-28 Li Lin , Xiaojun Wan

Current mainstream post-training quantization methods for large language models typically apply a uniform quantization strategy across all network layers, overlooking the substantial differences in algorithmic suitability among layers. To…

Machine Learning · Computer Science 2026-01-09 Jinhao Zhang , Yunquan Zhang , Daning Chen , JunSun , Zicheng Yan

The Segment Anything Model (SAM) is a popular vision foundation model; however, its high computational and memory demands make deployment on resource-constrained devices challenging. While Post-Training Quantization (PTQ) is a practical…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Navin Ranjan , Andreas Savakis

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

Looped language models (LoopLMs) improve parameter efficiency by recursively reusing Transformer blocks, enabling deeper computation under a fixed model size. However, this reuse makes LoopLMs more fragile under post-training quantization…

Machine Learning · Computer Science 2026-05-19 Rui Fang , Hsi-Wen Chen , Ming-Syan Chen

The weighted-Hamming metric generalizes the Hamming metric by assigning different weights to blocks of coordinates. It is well-suited for applications such as coding over independent parallel channels, each of which has a different level of…

Information Theory · Computer Science 2026-01-21 Sebastian Bitzer , Alberto Ravagnani , Violetta Weger

Binary quantization represents the most extreme form of compression, reducing weights to +/-1 for maximal memory and computational efficiency. While recent sparsity-aware binarization achieves sub-1-bit compression via weight pruning, it…

Machine Learning · Computer Science 2026-04-10 Hao Gu , Lujun Li , Hao Wang , Lei Wang , Zheyu Wang , Bei Liu , Jiacheng Liu , Qiyuan Zhu , Sirui Han , Yike Guo

Low-Rank Adaptation (LoRA), as a representative Parameter-Efficient Fine-Tuning (PEFT)method, significantly enhances the training efficiency by updating only a small portion of the weights in Large Language Models (LLMs). Recently,…

Computation and Language · Computer Science 2024-09-30 Xijie Huang , Zechun Liu , Shih-Yang Liu , Kwang-Ting Cheng

In this paper, probabilistic shaping is numerically and experimentally investigated for increasing the transmission reach of wavelength division multiplexed (WDM) optical communication system employing quadrature amplitude modulation (QAM).…

Weight-only quantization is widely used to mitigate the memory-bound nature of LLM inference. Codebook-based methods extend this trend by achieving strong accuracy in the extremely low-bit regime (e.g., 2-bit). However, current kernels rely…

Machine Learning · Computer Science 2025-12-23 Gunho Park , Jeongin Bae , Byeongwook Kim , Baeseong park , Jiwon Ryu , Hoseung Kim , Se Jung Kwon , Dongsoo Lee
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