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Low-bit post-training quantization (PTQ) is a practical route to deploy reasoning-capable LLMs under tight memory and latency budgets, yet it can markedly impair mathematical reasoning (drops up to 69.81% in our harder settings). We address…

Machine Learning · Computer Science 2026-01-21 Zhen Li , Yupeng Su , Songmiao Wang , Runming Yang , Congkai Xie , Aofan Liu , Ming Li , Jiannong Cao , Yuan Xie , Ngai Wong , Hongxia Yang

Recent work have shown that the quantization for matrix multiplication problem can be optimally solved by quantizing each column in each matrix using a nested lattice code, and then multiplying the de-quantized matrices. It was further…

Information Theory · Computer Science 2025-05-20 Iris Kaplan , Or Ordentlich

Amplitude estimation is a fundamental quantum algorithmic primitive that enables quantum computers to achieve quadratic speedups for a large class of statistical estimation problems, including Monte Carlo methods. The main drawback from the…

This paper presents a comprehensive analysis of quantization techniques for optimizing Large Language Models (LLMs), specifically focusing on Post-Training Quantization (PTQ) and Quantization-Aware Training (QAT). Through empirical…

Machine Learning · Computer Science 2024-11-12 Jahid Hasan

The 3D Lookup Table (3D LUT) is a highly-efficient tool for real-time image enhancement tasks, which models a non-linear 3D color transform by sparsely sampling it into a discretized 3D lattice. Previous works have made efforts to learn…

Computer Vision and Pattern Recognition · Computer Science 2022-05-02 Canqian Yang , Meiguang Jin , Xu Jia , Yi Xu , Ying Chen

Compressing the KV cache is a required step to deploy large language models on edge devices. Current quantization methods compress storage but fail to reduce bandwidth as attention calculation requires dequantizing keys from INT4/INT8 to…

Machine Learning · Computer Science 2026-01-16 Aryan Karmore

We consider the problem of recovering of continuous multi-dimensional functions from the noisy observations over the regular grid. Our focus is at the adaptive estimation in the case when the function can be well recovered using a linear…

Statistics Theory · Mathematics 2009-03-06 Anatoli Iouditski , Arkadii S. Nemirovski

Large language models have achieved significant advancements in complex mathematical reasoning benchmarks, such as MATH. However, their substantial computational requirements present challenges for practical deployment. Model quantization…

Computation and Language · Computer Science 2025-02-25 Zhen Li , Yupeng Su , Runming Yang , Congkai Xie , Zheng Wang , Zhongwei Xie , Ngai Wong , Hongxia Yang

When a quantizer input signal is the sum of the desired signal and input white noise, the quantization error is a function of total input signal. Our new equivalent model splits the quantization error into two components: a non-linear…

Networking and Internet Architecture · Computer Science 2019-04-19 Arkady Molev-Shteiman , Xiao-Feng Qi , Laurence Mailaender , Narayan Prasad , Bertrand Hochwald

In this paper, we examine the optimal quantization of signals for system identification. We deal with memoryless quantization for the output signals and derive the optimal quantization schemes. The objective functions are the errors of…

Optimization and Control · Mathematics 2009-05-13 Koji Tsumura

Quantizers take part in nearly every digital signal processing system which operates on physical signals. They are commonly designed to accurately represent the underlying signal, regardless of the specific task to be performed on the…

Signal Processing · Electrical Eng. & Systems 2019-07-24 Nir Shlezinger , Yonina C. Eldar , Miguel R. D. Rodrigues

In recent years, the increasing popularity of Hi-DPI screens has driven a rising demand for high-resolution images. However, the limited computational power of edge devices poses a challenge in deploying complex super-resolution neural…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Yuheng Xu , Shijie Yang , Xin Liu , Jie Liu , Jie Tang , Gangshan Wu

We propose a novel low-resolution-aware recursive least squares channel estimation algorithm for uplink multi-user multiple-input multiple-output systems. In order to reduce the energy consumption, 1-bit ADCs are used on each receive…

Information Theory · Computer Science 2018-02-06 Z. Shao , L. Landau , R. de Lamare

Recently, transformer has achieved remarkable performance on a variety of computer vision applications. Compared with mainstream convolutional neural networks, vision transformers are often of sophisticated architectures for extracting…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 Zhenhua Liu , Yunhe Wang , Kai Han , Siwei Ma , Wen Gao

In this work, we show that reconstructing a sparse signal from quantized compressive measurement can be achieved in an unified formalism whatever the (scalar) quantization resolution, i.e., from 1-bit to high resolution assumption. This is…

Information Theory · Computer Science 2013-05-09 Laurent Jacques , Kévin Degraux , Christophe De Vleeschouwer

Transformer-based models have gained widespread popularity in both the computer vision (CV) and natural language processing (NLP) fields. However, significant challenges arise during post-training linear quantization, leading to noticeable…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Jiun-Man Chen , Yu-Hsuan Chao , Yu-Jie Wang , Ming-Der Shieh , Chih-Chung Hsu , Wei-Fen Lin

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

Operating deep neural networks (DNNs) on devices with limited resources requires the reduction of their memory as well as computational footprint. Popular reduction methods are network quantization or pruning, which either reduce the word…

Upper Mid-Band (FR3, 7-24 GHz) receivers for 6G must operate over wide bandwidths in dense spectral environments, making them particularly vulnerable to strong adjacent-band interference and front-end nonlinearities. While conventional…

Signal Processing · Electrical Eng. & Systems 2026-02-02 Jayadev Joy , Sundeep Rangan

Lookup tables (LUTs) have recently gained attention as an alternative compute mechanism that maps input operands to precomputed results, eliminating the need for arithmetic logic. LUTs not only reduce logic complexity, but also naturally…

Hardware Architecture · Computer Science 2026-04-07 Junguk Hong , Changmin Shin , Sukjin Kim , Si Ung Noh , Taehee Kwon , Seongyeon Park , Hanjun Kim , Youngsok Kim , Jinho Lee