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In this paper we study the quantization stage that is implicit in any compressed sensing signal acquisition paradigm. We propose using Sigma-Delta quantization and a subsequent reconstruction scheme based on convex optimization. We prove…

Information Theory · Computer Science 2015-04-02 Rayan Saab , Rongrong Wang , Ozgur Yilmaz

Distributed graph signal processing algorithms require the network nodes to communicate by exchanging messages in order to achieve a common objective. These messages have a finite precision in realistic networks, which may necessitate to…

Signal Processing · Electrical Eng. & Systems 2019-09-30 Isabela Cunha Maia Nobre , Pascal Frossard

Quantization has been proven to be an effective method for reducing the computing and/or storage cost of DNNs. However, the trade-off between the quantization bitwidth and final accuracy is complex and non-convex, which makes it difficult…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Cheng Gong , Yao Chen , Ye Lu , Tao Li , Cong Hao , Deming Chen

Combining quantum sensing with quantum computing can lead to quantum computational sensors that are able to more efficiently extract task-specific information from physical signals than is possible otherwise. Early examples of quantum…

Quantum Physics · Physics 2025-07-22 Saeed A. Khan , Sridhar Prabhu , Logan G. Wright , Peter L. McMahon

We address the problem of network quantization, that is, reducing bit-widths of weights and/or activations to lighten network architectures. Quantization methods use a rounding function to map full-precision values to the nearest quantized…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Dohyung kim , Junghyup Lee , Bumsub Ham

Quantum information processing is expressed using quantum bits (qubits) and quantum gates which are arranged in the terms of quantum circuits. Here, each qubit is associated to a quantum circuit wire which is used to conduct the desired…

Quantum Physics · Physics 2016-10-26 Alexandru Paler , Robert Wille , Simon J. Devitt

The first generation of multi-qubit quantum technologies will consist of noisy, intermediate-scale devices for which active error correction remains out of reach. To exploit such devices, it is thus imperative to use passive error…

The growing demand for machine learning applications in the context of the Internet of Things calls for new approaches to optimize the use of limited compute and memory resources. Despite significant progress that has been made w.r.t.…

Machine Learning · Computer Science 2026-03-06 Karsten Schrödter , Jan Stenkamp , Nina Herrmann , Fabian Gieseke

Multi-bit quantization networks enable flexible deployment of deep neural networks by supporting multiple precision levels within a single model. However, existing approaches suffer from significant training overhead as full-dataset updates…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Jinhee Kim , Jae Jun An , Kang Eun Jeon , Jong Hwan Ko

1-bit compressive sensing aims to recover sparse signals from quantized 1-bit measurements. Designing efficient approaches that could handle noisy 1-bit measurements is important in a variety of applications. In this paper we use the…

Information Theory · Computer Science 2022-04-28 Shuai Huang , Trac D. Tran

The storage and processing of quantum information are susceptible to external noise, resulting in computational errors that are inherently continuous A powerful method to suppress these effects is to use quantum error correction. Typically,…

Given a Wiener process with unknown and unobservable drift, we try to estimate this drift as effectively but also as quickly as possible, in the presence of a quadratic penalty for the estimation error and of a fixed, positive cost per unit…

Statistics Theory · Mathematics 2019-05-24 Erik Ekström , Ioannis Karatzas , Juozas Vaicenavicius

We consider a distributed detection problem within a wireless sensor network (WSN), where a substantial number of sensors cooperate to detect the existence of sparse stochastic signals. To achieve a trade-off between detection performance…

Signal Processing · Electrical Eng. & Systems 2024-11-07 Linlin Mao , Shefeng Yan , Zeping Sui , Hongbin Li

One of the main drawbacks of the well-known Direct Position Determination (DPD) method is the requirement that raw signal data be transferred to a common processor. It would therefore be of high practical value if DPD$-$or a modified…

Signal Processing · Electrical Eng. & Systems 2021-05-26 Amir Weiss , Gregory W. Wornell

Diffusion models have shown superior performance in real-world video super-resolution (VSR). However, the slow processing speeds and heavy resource consumption of diffusion models hinder their practical application and deployment.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Bowen Chai , Zheng Chen , Libo Zhu , Wenbo Li , Yong Guo , Yulun Zhang

The asymptotics for quantization error for a Wiener process with Gaussian starting point (GSP-Wiener process) is investigated. Using the classical methodology and some analytical approach a first result is obtained. We provide some further…

Statistics Theory · Mathematics 2014-10-07 Luis A. Salomón

We study the problem of the transmission of currently observed time variable signals via a channel that is capable of sending a single binary signal only for each measurement of the underlying process. For encoding and decoding, we suggest…

Information Theory · Computer Science 2015-01-22 Nikolai Dokuchaev

We tackle the problem of producing compact models, maximizing their accuracy for a given model size. A standard solution is to train networks with Quantization Aware Training, where the weights are quantized during training and the…

Machine Learning · Computer Science 2021-03-02 Angela Fan , Pierre Stock , Benjamin Graham , Edouard Grave , Remi Gribonval , Herve Jegou , Armand Joulin

Quantum state estimation for continuously monitored dynamical systems involves assigning a quantum state to an individual system at some time, conditioned on the results of continuous observations. The quality of the estimation depends on…

Quantum Physics · Physics 2022-05-26 Areeya Chantasri , Ivonne Guevara , Kiarn T. Laverick , Howard M. Wiseman

Lossy image compression is essential for efficient transmission and storage. Traditional compression methods mainly rely on discrete cosine transform (DCT) or singular value decomposition (SVD), both of which represent image data in…

Image and Video Processing · Electrical Eng. & Systems 2025-03-28 Pooya Ashtari , Pourya Behmandpoor , Fateme Nateghi Haredasht , Jonathan H. Chen , Panagiotis Patrinos , Sabine Van Huffel
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