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We consider the problem of exact recovery of a $k$-sparse binary vector from generalized linear measurements (such as logistic regression). We analyze the linear estimation algorithm (Plan, Vershynin, Yudovina, 2017), and also show…

机器学习 · 统计学 2025-02-25 Arya Mazumdar , Neha Sangwan

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

最优化与控制 · 数学 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Sampling and quantization are standard practices in signal and image processing, but a theoretical understanding of their impact is incomplete. We consider discrete image registration when the underlying function is a one-dimensional…

计算机视觉与模式识别 · 计算机科学 2024-10-28 Serap A. Savari

Applications such as Magnetic Resonance Tomography acquire imaging data by point samples of their Fourier transform. This raises the question of balancing the efficiency of the sampling strategies with the approximation accuracy of an…

数值分析 · 数学 2015-10-20 Gitta Kutyniok , Wang-Q Lim

This paper studies sensor calibration in spectral estimation where the true frequencies are located on a continuous domain. We consider a uniform array of sensors that collects measurements whose spectrum is composed of a finite number of…

信息论 · 计算机科学 2019-01-15 Yonina C. Eldar , Wenjing Liao , Sui Tang

We address the problem of image color quantization using a Maximum Entropy based approach. Focusing on pixel mapping we argue that adding thermal noise to the system yields better visual impressions than that obtained from a simple energy…

统计力学 · 物理学 2023-03-15 Samy Lakhal , Alexandre Darmon , Michael Benzaquen

Recent deep learning-based methods for lossy image compression achieve competitive rate-distortion performance through extensive end-to-end training and advanced architectures. However, emerging applications increasingly prioritize semantic…

计算机视觉与模式识别 · 计算机科学 2025-09-09 Ruiqi Shen , Haotian Wu , Wenjing Zhang , Jiangjing Hu , Deniz Gunduz

Capturing depth and reflectivity images at low light levels from active illumination of a scene has wide-ranging applications. Conventionally, even with single-photon detectors, hundreds of photon detections are needed at each pixel to…

应用统计 · 统计学 2026-03-12 Dongeek Shin , Ahmed Kirmani , Vivek K Goyal , Jeffrey H. Shapiro

The impressive growth of data throughput in optical microscopy has triggered a widespread use of supervised learning (SL) models running on compressed image datasets for efficient automated analysis. However, since lossy image compression…

Snapshot mosaic multispectral imagery acquires an undersampled data cube by acquiring a single spectral measurement per spatial pixel. Sensors which acquire $p$ frequencies, therefore, suffer from severe $1/p$ undersampling of the full data…

计算机视觉与模式识别 · 计算机科学 2019-11-26 Giancarlo A. Antonucci , Simon Vary , David Humphreys , Robert A. Lamb , Jonathan Piper , Jared Tanner

We present a sensing scheme for estimating the frequency difference of two non-entangled photons. The technique consists of time-resolving sampling measurements at the output of a beam splitter. With this protocol, the frequency shift…

量子物理 · 物理学 2025-12-10 Luca Maggio , Danilo Triggiani , Paolo Facchi , Vincenzo Tamma

We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

信息论 · 计算机科学 2016-12-01 Ankur Mallick , Animesh Kumar

The Compressive Sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by reducing the sampling rate required to acquire and stably recover sparse signals. Practical ADCs not only sample but also quantize each…

信息论 · 计算机科学 2015-11-04 Laurent Jacques , Jason N. Laska , Petros T. Boufounos , Richard G. Baraniuk

In this paper we tackle the problem of stereo image compression, and leverage the fact that the two images have overlapping fields of view to further compress the representations. Our approach leverages state-of-the-art single-image…

图像与视频处理 · 电气工程与系统科学 2019-08-13 Jerry Liu , Shenlong Wang , Raquel Urtasun

In this paper we present a new algorithm for compressive sensing that makes use of binary measurement matrices and achieves exact recovery of ultra sparse vectors, in a single pass and without any iterations. Due to its noniterative nature,…

信息论 · 计算机科学 2018-05-22 Mahsa Lotfi , Mathukumalli Vidyasagar

Image super-resolution (SR) is one of the long-standing and active topics in image processing community. A large body of works for image super resolution formulate the problem with Bayesian modeling techniques and then obtain its…

计算机视觉与模式识别 · 计算机科学 2012-09-20 Haichao Zhang , David Wipf , Yanning Zhang

Confocal laser-scanning microscopy (CLSM) is one of the most popular optical architectures for fluorescence imaging. In CLSM, a focused laser beam excites the fluorescence emission from a specific specimen position. Some actuators scan the…

图像与视频处理 · 电气工程与系统科学 2023-05-10 Alessandro Zunino , Marco Castello , Giuseppe Vicidomini

We propose a semantic similarity metric for image registration. Existing metrics like Euclidean Distance or Normalized Cross-Correlation focus on aligning intensity values, giving difficulties with low intensity contrast or noise. Our…

机器学习 · 计算机科学 2021-04-21 Steffen Czolbe , Oswin Krause , Aasa Feragen

The realisation of sensing modalities based on the principles of compressed sensing is often hindered by discrepancies between the mathematical model of its sensing operator, which is necessary during signal recovery, and its actual…

信息论 · 计算机科学 2018-02-21 Valerio Cambareri , Amirafshar Moshtaghpour , Laurent Jacques

We study super-resolution imaging theoretically using a distant n-mode interferometer in the microwave regime for passive remote sensing, used e.g., for satellites like the "soil moisture and ocean salinity (SMOS)" mission to observe the…

量子物理 · 物理学 2023-03-29 Emre Köse , Daniel Braun