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Optimizer states are a major source of memory consumption for training neural networks, limiting the maximum trainable model within given memory budget. Compressing the optimizer states from 32-bit floating points to lower bitwidth is…

Machine Learning · Computer Science 2023-10-30 Bingrui Li , Jianfei Chen , Jun Zhu

Martingale concentration inequalities constitute a powerful mathematical tool in the analysis of problems in a wide variety of fields ranging from probability and statistics to information theory and machine learning. Here we apply…

Quantum Physics · Physics 2017-03-07 Cambyse Rouze , Nilanjana Datta

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 paper, we propose an oversampling based low-resolution aware least squares channel estimator for large-scale multiple-antenna systems with 1-bit analog-to-digital converters on each receive antenna. To mitigate the information loss…

Signal Processing · Electrical Eng. & Systems 2019-05-15 Z. Shao , L. Landau , R. de Lamare

This paper introduces a novel low-complexity memoryless linearizer for suppression of distortion in analog frontends. It is based on our recently introduced linearizer which is inspired by neural networks, but with orders-of-magnitude lower…

Signal Processing · Electrical Eng. & Systems 2025-09-19 Deijany Rodriguez Linares , Håkan Johansson

We extend a low-rate improvement of the random coding bound on the reliability of a classical discrete memoryless channel to its quantum counterpart. The key observation that we make is that the problem of bounding below the error exponent…

Quantum Physics · Physics 2007-05-23 Alexander Barg

We obtain a maximizer for the quantum mutual information for classical information sent over the quantum qubit amplitude damping channel. This is achieved by limiting the ensemble of input states to antipodal states, in the calculation of…

Quantum Physics · Physics 2011-07-20 Tony Dorlas , Ciara Morgan

Diffusion models have received wide attention in generation tasks. However, the expensive computation cost prevents the application of diffusion models in resource-constrained scenarios. Quantization emerges as a practical solution that…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Weilun Feng , Haotong Qin , Chuanguang Yang , Zhulin An , Libo Huang , Boyu Diao , Fei Wang , Renshuai Tao , Yongjun Xu , Michele Magno

Due to the crossbar array architecture, the sneak-path problem severely degrades the data integrity in the resistive random access memory (ReRAM). In this letter, we investigate the channel quantizer design for ReRAM arrays with multiple…

Information Theory · Computer Science 2024-10-08 Zhen Mei , Kui Cai , Long Shi , Jun Li

A class of channels is introduced for which there is memory inside blocks of a specified length and no memory across the blocks. The multi-user model is called an information network with in-block memory (NiBM). It is shown that…

Information Theory · Computer Science 2016-11-17 Gerhard Kramer

The maximum rates for information transmission through noisy quantum channels has primarily been developed for memoryless channels, where the noise on each transmitted state is treated as independent. Many real world communication channels…

Quantum Physics · Physics 2009-11-10 Garry Bowen , Igor Devetak , Stefano Mancini

Large language models have shown exceptional capabilities in a wide range of tasks, such as text generation and video generation, among others. However, due to their massive parameter count, these models often require substantial storage…

Machine Learning · Computer Science 2024-10-18 Qian Tao , Wenyuan Yu , Jingren Zhou

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

Information Theory · Computer Science 2011-06-01 Tobias Koch , Amos Lapidoth

Processing-in-memory (PIM), an increasingly studied neuromorphic hardware, promises orders of energy and throughput improvements for deep learning inference. Leveraging the massively parallel and efficient analog computing inside memories,…

Machine Learning · Computer Science 2022-09-20 Qing Jin , Zhiyu Chen , Jian Ren , Yanyu Li , Yanzhi Wang , Kaiyuan Yang

This paper explores the combination of neural network quantization and entropy coding for memory footprint minimization. Edge deployment of quantized models is hampered by the harsh Pareto frontier of the accuracy-to-bitwidth tradeoff,…

Machine Learning · Computer Science 2024-06-11 C. Metz , O. Bichler , A. Dupret

Diffusion models have demonstrated remarkable performance on vision generation tasks. However, the high computational complexity hinders its wide application on edge devices. Quantization has emerged as a promising technique for inference…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Weilun Feng , Chuanguang Yang , Haotong Qin , Yuqi Li , Xiangqi Li , Zhulin An , Libo Huang , Boyu Diao , Fuzhen Zhuang , Michele Magno , Yongjun Xu , Yingli Tian , Tingwen Huang

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

Several information-theoretic studies on channels with output quantization have identified the capacity-achieving input distributions for different fading channels with 1-bit in-phase and quadrature (I/Q) output quantization. However, an…

Information Theory · Computer Science 2022-05-31 Neil Irwin Bernardo , Jingge Zhu , Jamie Evans

This paper provides new insight into the classical problem of determining both the capacity of the discrete-time channel with uniform output quantization and the capacity achieving input distribution. It builds on earlier work by Gallager…

Information Theory · Computer Science 2009-01-19 Yiyue Wu , Linda M. Davis , Robert Calderbank

Low-resolution devices are promising for systems that demand low energy consumption and low complexity as required in IoT systems. In this study, we propose a novel waveform for bandlimited channels with 1-bit quantization and oversampling…

Information Theory · Computer Science 2019-10-23 Diana M. V. Melo , Lukas T. N. Landau , Rodrigo C. de Lamare