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Astronomical imaging based on photon count data is a non-trivial task. In this context we show how to denoise, deconvolve, and decompose multi-domain photon observations. The primary objective is to incorporate accurate and well motivated…

天体物理仪器与方法 · 物理学 2018-11-21 Daniel Pumpe , Martin Reinecke , Torsten A. Enßlin

In this paper, we introduce a new support recovery algorithm from noisy measurements called Bayesian hypothesis test via belief propagation (BHT-BP). BHT-BP focuses on sparse support recovery rather than sparse signal estimation. The key…

信息论 · 计算机科学 2013-02-27 Jaewook Kang , Heung-No Lee , Kiseon Kim

In this study, we explore the utilization of maximum likelihood estimation for the analysis of sparse photon counting data obtained from distributed target lidar systems. Specifically, we adapt the Poisson Total Variation processing…

信号处理 · 电气工程与系统科学 2023-12-01 Matthew Hayman , Robert A. Stillwell , Josh Carnes , Grant J. Kirchhoff , Scott M. Spuler , Jeffrey P. Thayer

The success of ptychographic imaging experiments strongly depends on achieving high signal-to-noise ratio. This is particularly important in nanoscale imaging experiments when diffraction signals are very weak and the experiments are…

Image denoising is a typical ill-posed problem due to complex degradation. Leading methods based on normalizing flows have tried to solve this problem with an invertible transformation instead of a deterministic mapping. However, the…

计算机视觉与模式识别 · 计算机科学 2023-02-01 Wenchao Du , Hu Chen , Yi Zhang , H. Yang

While deep learning offers powerful capabilities for scientific research, its application is often hindered by a lack of quantitative reliability. To address this, we introduce a probabilistic denoising framework that simultaneously…

强关联电子 · 物理学 2026-05-11 Younsik Kim , Changyoung Kim

In order to improve image quality of projection in industrial applications, generally, a standard method is to increase the current or exposure time, which might cause overexposure of detector units in areas of thin objects or backgrounds.…

图像与视频处理 · 电气工程与系统科学 2024-12-10 Mengyu Sun , Dimeng Xia , Shusen Zhao , Weibin Zhang , Yaobin He

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

机器学习 · 计算机科学 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

We develop dependent hierarchical normalized random measures and apply them to dynamic topic modeling. The dependency arises via superposition, subsampling and point transition on the underlying Poisson processes of these measures. The…

机器学习 · 计算机科学 2012-06-22 Changyou Chen , Nan Ding , Wray Buntine

A new iterative low complexity algorithm has been presented for computing the Walsh-Hadamard transform (WHT) of an $N$ dimensional signal with a $K$-sparse WHT, where $N$ is a power of two and $K = O(N^\alpha)$, scales sub-linearly in $N$…

信息论 · 计算机科学 2019-05-08 Robin Scheibler , Saeid Haghighatshoar , Martin Vetterli

The parameters in a nuclear magnetic resonance (NMR) free induction decay (FID) signal contain information that is useful in magnetic field measurement, magnetic resonance sounding (MRS) and other related applications. A real time sampled…

仪器与探测器 · 物理学 2017-08-18 Huan Liu , Haobin Dong , Zheng Liu , Jian Ge , Bingjie Bai , Cheng Zhang

We present a novel physics-informed system identification method to construct a passive linear time-invariant system. In more detail, for a given quadratic energy functional, measurements of the input, state, and output of a system in the…

动力系统 · 数学 2023-02-13 Riccardo Morandin , Jonas Nicodemus , Benjamin Unger

Many high-energy physics analyses require the presence of leptons from $W$, $Z$, or $H$ boson decay. For these analyses, signatures that mimic such leptons present a `fake lepton' background that must be estimated. Since the magnitude of…

高能物理 - 实验 · 物理学 2016-06-23 Erich W. Varnes

We propose a coupled bootstrap (CB) method for the test error of an arbitrary algorithm that estimates the mean in a Poisson sequence, often called the Poisson means problem. The idea behind our method is to generate two carefully-designed…

统计方法学 · 统计学 2024-08-20 Natalia L. Oliveira , Jing Lei , Ryan J. Tibshirani

Low-dose CT images are essential for reducing radiation exposure in cancer screening, pediatric imaging, and longitudinal monitoring protocols, but their quality is often degraded by noise from low-dose acquisition, patient motion, or…

计算机视觉与模式识别 · 计算机科学 2026-03-12 Jitindra Fartiyal , Pedro Freire , Sergei K. Turitsyn , Sergei G. Solovski

We propose a new image denoising algorithm when the data is contaminated by a Poisson noise. As in the Non-Local Means filter, the proposed algorithm is based on a weighted linear combination of the bserved image. But in contract to the…

应用统计 · 统计学 2012-01-31 Qiyu Jin , Ion Grama , Quansheng Liu

This paper presents a new approach for tackling the shift-invariance problem in the discrete Haar domain, without trading off any of its desirable properties, such as compression, separability, orthogonality, and symmetry. The paper…

计算机视觉与模式识别 · 计算机科学 2017-05-23 Mais Alnasser , Hassan Foroosh

Dimensionality reduction methods for count data are critical to a wide range of applications in medical informatics and other fields where model interpretability is paramount. For such data, hierarchical Poisson matrix factorization (HPF)…

Hyperspectral images (HSIs) are susceptible to various noise factors leading to the loss of information, and the noise restricts the subsequent HSIs object detection and classification tasks. In recent years, learning-based methods have…

神经与进化计算 · 计算机科学 2020-08-18 Yuqiao Liu , Yanan Sun , Bing Xue , Mengjie Zhang

We consider the challenging blind denoising problem for Poisson-Gaussian noise, in which no additional information about clean images or noise level parameters is available. Particularly, when only "single" noisy images are available for…

图像与视频处理 · 电气工程与系统科学 2021-05-25 Jaeseok Byun , Sungmin Cha , Taesup Moon