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This paper provides new error bounds on "consistent" reconstruction methods for signals observed from quantized random projections. Those signal estimation techniques guarantee a perfect matching between the available quantized data and a…

信息论 · 计算机科学 2016-04-21 Laurent Jacques

An improved proportionate adaptive filter based on the Maximum Correntropy Criterion (IP-MCC) is proposed for identifying the system with variable sparsity in an impulsive noise environment. Utilization of MCC mitigates the effect of…

系统与控制 · 计算机科学 2017-07-04 Vinay Chakravarthi Gogineni , Subrahmanyam Mula

Molecular Communication (MC) is an important nanoscale communication paradigm, which is employed for the interconnection of the nanomachines (NMs) to form nanonetworks. A transmitter NM (TN) sends the information symbols by emitting…

信号处理 · 电气工程与系统科学 2020-03-27 Baris Atakan , Fatih Gulec

Both a high spatial and a high temporal resolution of images and videos are desirable in many applications such as entertainment systems, monitoring manufacturing processes, or video surveillance. Due to the limited throughput of pixels per…

图像与视频处理 · 电气工程与系统科学 2022-04-08 Markus Jonscher , Jürgen Seiler , Daniela Lanz , Michael Schöberl , Michel Bätz , André Kaup

We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images…

人工智能 · 计算机科学 2024-08-13 Theo Adrai , Guy Ohayon , Tomer Michaeli , Michael Elad

This paper proposes a randomized optimization framework for constrained signal reconstruction, where the word "constrained" implies that data-fidelity is imposed as a hard constraint instead of adding a data-fidelity term to an objective…

最优化与控制 · 数学 2024-06-28 Shunsuke Ono

Several applications require the super-resolution of noisy images and the preservation of geometrical and texture features. State-of-the-art super-resolution methods do not account for noise and generally enhance the output image's…

图像与视频处理 · 电气工程与系统科学 2023-11-07 Simone Cammarasana , Giuseppe Patanè

We revisit the classical problem of Fourier-sparse signal reconstruction -- a variant of the \emph{Set Query} problem -- which asks to efficiently reconstruct (a subset of) a $d$-dimensional Fourier-sparse signal ($\|\hat{x}(t)\|_0 \leq…

数据结构与算法 · 计算机科学 2023-11-21 Yeqi Gao , Zhao Song , Baocheng Sun , Omri Weinstein , Ruizhe Zhang

This paper deals with the resolution of inverse problems in a periodic setting or, in other terms, the reconstruction of periodic continuous-domain signals from their noisy measurements. We focus on two reconstruction paradigms: variational…

最优化与控制 · 数学 2018-11-14 Anaïs Badoual , Julien Fageot , Michael Unser

We propose a supervised principal component regression method for relating functional responses with high dimensional predictors. Unlike the conventional principal component analysis, the proposed method builds on a newly defined expected…

统计方法学 · 统计学 2023-08-17 Xinyi Zhang , Qiang Sun , Dehan Kong

Optimization-based problems have become of great interest for signal approximation purposes, as they achieved good accuracy results while being extremely flexible and versatile. In this work, we put our focus on the context of periodic…

最优化与控制 · 数学 2021-11-30 Adrian Jarret

Compressive sensing is a methodology for the reconstruction of sparse or compressible signals using far fewer samples than required by the Nyquist criterion. However, many of the results in compressive sensing concern random sampling…

信息论 · 计算机科学 2013-06-11 Atul Divekar , Deanna Needell

Photo-realistic image restoration algorithms are typically evaluated by distortion measures (e.g., PSNR, SSIM) and by perceptual quality measures (e.g., FID, NIQE), where the desire is to attain the lowest possible distortion without…

图像与视频处理 · 电气工程与系统科学 2025-02-05 Guy Ohayon , Tomer Michaeli , Michael Elad

A spatial signal is defined by its evaluations on the whole domain. In this paper, we consider stable reconstruction of real-valued signals with finite rate of innovations (FRI), up to a sign, from their magnitude measurements on the whole…

信息论 · 计算机科学 2018-01-18 Cheng Cheng , Qiyu Sun

To reduce scanning time and/or improve spatial/temporal resolution in some MRI applications, parallel MRI (pMRI) acquisition techniques with multiple coils acquisition have emerged since the early 1990s as powerful 3D imaging methods that…

最优化与控制 · 数学 2009-09-03 Lotfi Chaari , Jean-Christophe Pesquet , Philippe Ciuciu , Amel Benazza-Benyahia

In this letter, we propose a sparsity promoting feedback acquisition and reconstruction scheme for sensing, encoding and subsequent reconstruction of spectrally sparse signals. In the proposed scheme, the spectral components are estimated…

信息论 · 计算机科学 2017-11-28 Mahdi Boloursaz Mashhadi , Saeed Gazor , Nazanin Rahnavard , Farokh Marvasti

Memoryless scalar quantization (MSQ) is a common technique to quantize frame coefficients of signals (which are used as a model for generalized linear samples), making them compatible with our digital technology. The process of quantization…

数值分析 · 计算机科学 2020-09-15 Kateryna Melnykova , Ozgur Yilmaz

The application of compressive sensing (CS) to structural health monitoring is an emerging research topic. The basic idea in CS is to use a specially-designed wireless sensor to sample signals that are sparse in some basis (e.g. wavelet…

应用统计 · 统计学 2015-03-31 Yong Huang , James L. Beck , Stephen Wu , Hui Li

The problem of estimating an arbitrary random vector from its observation corrupted by additive white Gaussian noise, where the cost function is taken to be the Minimum Mean $p$-th Error (MMPE), is considered. The classical Minimum Mean…

信息论 · 计算机科学 2016-07-07 Alex Dytso , Ronit Bustin , Daniela Tuninetti , Natasha Devroye , H. Vincent Poor , Shlomo Shamai

We propose the application of multiresolution transforms, such as wavelets (WT) and curvelets (CT), to the reconstruction of images of extended objects that have been acquired with adaptive optics (AO) systems. Such multichannel approaches…

天体物理仪器与方法 · 物理学 2015-06-11 Roberto Baena Gallé , Jorge Núñez , Szymon Gladysz