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Large language model inference is often bounded by memory footprint and bandwidth in resource-constrained deployments, making quantization fundamental to efficient serving. While post-training quantization (PTQ) maintains high fidelity at…

Large language models (LLMs) demand extensive memory capacity during both fine-tuning and inference. To enable memory-efficient fine-tuning, existing methods apply block-wise quantization techniques, such as NF4 and AF4, to the network…

Machine Learning · Computer Science 2025-05-13 Patrick Blumenberg , Thomas Graave , Tim Fingscheidt

Learned image compression (LIC) has reached the traditional hand-crafted methods such as JPEG2000 and BPG in terms of the coding gain. However, the large model size of the network prohibits the usage of LIC on resource-limited embedded…

Image and Video Processing · Electrical Eng. & Systems 2020-07-10 Heming Sun , Zhengxue Cheng , Masaru Takeuchi , Jiro Katto

Current quantization methods for LLMs predominantly rely on block-wise structures to maintain efficiency, often at the cost of representational flexibility. In this work, we demonstrate that element-wise quantization can be made as…

Machine Learning · Computer Science 2026-02-02 Pingzhi Tang , Ruijie Zhou , Fanxu Meng , Wenjie Pei , Muhan Zhang

The growing demand for Large Language Models (LLMs) in applications such as content generation, intelligent chatbots, and sentiment analysis poses considerable challenges for LLM service providers. To efficiently use GPU resources and boost…

Machine Learning · Computer Science 2024-04-17 Yilong Zhao , Chien-Yu Lin , Kan Zhu , Zihao Ye , Lequn Chen , Size Zheng , Luis Ceze , Arvind Krishnamurthy , Tianqi Chen , Baris Kasikci

In this paper, we propose a new class of bit flipping algorithms for low-density parity-check (LDPC) codes over the binary symmetric channel (BSC). Compared to the regular (parallel or serial) bit flipping algorithms, the proposed…

Information Theory · Computer Science 2016-11-17 Dung Viet Nguyen , Bane Vasic , Michael W. Marcellin

Training LLMs at ultra-low precision remains a formidable challenge. Direct low-bit QAT often suffers from convergence instability and substantial training costs, exacerbated by quantization noise from heavy-tailed outlier channels and…

Machine Learning · Computer Science 2026-04-10 Binxing Xu , Hao Gu , Lujun Li , Hao Wang , Bei Liu , Jiacheng Liu , Qiyuan Zhu , Xintong Yang , Chao Li , Sirui Han , Yike Guo

We study channel capacity when a one-bit quantizer is employed at the output of the discrete-time average-power-limited Rayleigh-fading channel. We focus on the low signal-to-noise ratio regime, where communication at very low spectral…

Information Theory · Computer Science 2011-12-23 Tobias Koch , Amos Lapidoth

On a fading channel with no channel state information at the receiver, calculating true log-likelihood ratios (LLR) is complicated. Existing work assume that the power of the additive noise is known and use the expected value of the fading…

Information Theory · Computer Science 2012-04-17 Raman Yazdani , Masoud Ardakani

The pragmatic approach to coded continuous-phase modulation (CPM) is proposed as a capacity-achieving low-complexity alternative to the serially-concatenated CPM (SC-CPM) coding scheme. In this paper, we first perform a selection of the…

Information Theory · Computer Science 2016-11-17 Alberto Perotti , Alberto Tarable , Sergio Benedetto , Guido Montorsi

Multiple beamforming is realized by singular value decomposition of the channel matrix which is assumed to be known to both the transmitter and the receiver. Bit-Interleaved Coded Multiple Beamforming (BICMB) can achieve full diversity as…

Information Theory · Computer Science 2012-08-17 Boyu Li , Hong Ju Park , Ender Ayanoglu

We study a problem of constructing codes that transform a channel with high bit error rate (BER) into one with low BER (at the expense of rate). Our focus is on obtaining codes with smooth ("graceful'') input-output BER curves (as opposed…

Information Theory · Computer Science 2019-11-28 Hajir Roozbehani , Yury Polyanskiy

This paper studies the design and optimization of a limited feedback single-user system with multiple-antenna transmitter and single-antenna receiver. The design problem is cast in form of the minimizing the average transmission power at…

Information Theory · Computer Science 2015-05-18 Behrouz Khoshnevis , Wei Yu

Several analog-to-digital conversion methods for bandlimited signals used in applications, such as Sigma Delta quantization schemes, employ coarse quantization coupled with oversampling. The standard mathematical model for the error accrued…

Information Theory · Computer Science 2010-04-21 Felix Krahmer , Rachel Ward

This paper addresses channel estimation and data equalization on frequency-selective 1-bit quantized Multiple Input-Multiple Output (MIMO) systems. No joint processing or Channel State Information is assumed at the transmitter, and…

Information Theory · Computer Science 2021-03-09 Javier García , Jawad Munir , Kilian Roth , Josef A. Nossek

In this letter, we propose a two-stage design method to construct memory efficient mutual information-maximizing quantized min-sum (MIM-QMS) decoder for rate-compatible low-density parity-check (LDPC) codes. We first develop a modified…

Information Theory · Computer Science 2022-01-19 Peng Kang , Kui Cai , Xuan He , Jinhong Yuan

We introduce and analyze a discrete soft-decision channel called the linear reliability channel (LRC) in which the soft information is the rank ordering of the received symbol reliabilities. We prove that the LRC is an appropriate…

Information Theory · Computer Science 2025-09-11 Alexander Mariona , Ken R. Duffy , Muriel Médard

Large Language Models (LLMs) with multimodal capabilities have revolutionized vision-language tasks, but their deployment often requires huge memory and computational resources. While post-training quantization (PTQ) has successfully…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Shubhang Bhatnagar , Andy Xu , Kar-Han Tan , Narendra Ahuja

Quantization-Aware Training from scratch has emerged as a promising approach for building efficient large language models (LLMs) with extremely low-bit weights (sub 2-bit), which can offer substantial advantages for edge deployment.…

Machine Learning · Computer Science 2026-02-27 Wenzheng Zhang , Bingzheng Liu , Yang Hu , Xiaoying Bai , Wentao Zhang , Bin Cui

This paper introduces a new maximum likelihood (ML) solution for the code-aided (CA) timing recovery problem in square-QAM transmissions and derives, for the very first time, its CA Cram\'er-Rao lower bounds (CRLBs) in closed-form…

Information Theory · Computer Science 2015-09-15 Faouzi Bellili , Achref Methenni , Souheib Ben Amor , Sofiène Affes , Alex Stéphenne