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In the study of condensed matter physics, spectral information plays an important role for understand the mechanism of materials. However, it is difficult to obtain the spectrum directly through experiments or simulation. For example, the…

计算物理 · 物理学 2022-12-23 Haidong Xie , Xueshuang Xiang , Yuanqing Chen

This work is focussed on the inversion task of inferring the distribution over parameters of interest leading to multiple sets of observations. The potential to solve such distributional inversion problems is driven by increasing…

机器学习 · 统计学 2026-05-06 Arnaud Vadeboncoeur , Mark Girolami , Andrew M. Stuart

In this article we recover the distribution function (and possible density) of an arbitrary random variable that is subject to an additive measurement error. This problem is also known as deconvolution and has a long tradition in…

统计理论 · 数学 2025-10-07 Henrik Kaiser

Normalizing flow is a generative modeling approach with efficient sampling. However, Flow-based models suffer two issues: 1) If the target distribution is manifold, due to the unmatch between the dimensions of the latent target distribution…

机器学习 · 计算机科学 2024-04-24 Qinglong Meng , Chongkun Xia , Xueqian Wang

Gravity data can be better interpreted after enhancing high-frequency information via downward continuation. Downward continuation is an ill-posed deconvolution problem. It has been tackled using regularization techniques, which are…

地球物理 · 物理学 2025-10-27 Adarsh Jain , Pawan Bharadwaj , Chandra Sekhar Seelamantula

Obtaining a faithful source intensity distribution map of the sky from noisy data demands incorporating known information of the expected signal, especially when the signal is weak compared to the noise. We introduce a widely used procedure…

广义相对论与量子宇宙学 · 物理学 2019-09-04 Sambit Panda , Swetha Bhagwat , Jishnu Suresh , Sanjit Mitra

The paper introduces the weighted convolution, a novel approach to the convolution for signals defined on regular grids (e.g., 2D images) through the application of an optimal density function to scale the contribution of neighbouring…

计算机视觉与模式识别 · 计算机科学 2025-06-02 Simone Cammarasana , Giuseppe Patanè

X-ray diffraction is ideal for probing sub-surface state during complex or rapid thermomechanical loading of crystalline materials. However, challenges arise as the size of diffraction volumes increases due to spatial broadening and…

材料科学 · 物理学 2025-01-10 Rachel E. Lim , Shun-Li Shang , Chihpin Chuang , Thien Q. Phan , Zi-Kui Liu , Darren C. Pagan

We study the multivariate deconvolution problem of recovering the distribution of a signal from independent and identically distributed observations additively contaminated with random errors (noise) from a known distribution. For errors…

统计理论 · 数学 2023-09-28 Judith Rousseau , Catia Scricciolo

Sedimentation and centrifugation can be used to sort particles by size, using a multistep (multicascade) method in which particles in the sediment are removed and the content of the supernatant is processed again, repeating the cycle…

流体动力学 · 物理学 2023-03-10 Heng Li , Lucas Beetsma , Suriya Prakash , Maurice Mikkers , Lorenzo Botto

Density deconvolution is the task of estimating a probability density function given only noise-corrupted samples. We can fit a Gaussian mixture model to the underlying density by maximum likelihood if the noise is normally distributed, but…

机器学习 · 统计学 2020-07-14 Tim Dockhorn , James A. Ritchie , Yaoliang Yu , Iain Murray

The spatial resolution of images of living samples obtained by fluorescence microscopes is physically limited due to the diffraction of visible light, which makes the study of entities of size less than the diffraction barrier (around 200…

图像与视频处理 · 电气工程与系统科学 2023-03-21 Vasiliki Stergiopoulou , Subhadip Mukherjee , Luca Calatroni , Laure Blanc-Féraud

We study the problem of a cholesteric liquid crystal confined to an elliptical channel. The system is geometrically frustrated because the cholesteric prefers to adopt a uniform rate of twist deformation, but the elliptical domain precludes…

Model compression and acceleration are attracting increasing attentions due to the demand for embedded devices and mobile applications. Research on efficient convolutional neural networks (CNNs) aims at removing feature redundancy by…

机器学习 · 计算机科学 2020-08-21 Jinhua Liang , Tao Zhang , Guoqing Feng

Image denoising is a classical problem in low level computer vision. Model-based optimization methods and deep learning approaches have been the two main strategies for solving the problem. Model-based optimization methods are flexible for…

计算机视觉与模式识别 · 计算机科学 2018-12-31 Chang Liu , Zhaowei Shang , Anyong Qin

Image deconvolution is still to be a challenging ill-posed problem for recovering a clear image from a given blurry image, when the point spread function is known. Although competitive deconvolution methods are numerically impressive and…

计算机视觉与模式识别 · 计算机科学 2016-09-07 Hang Yang , Zhongbo Zhang , Yujing Guan

Deconvolution is the important problem of estimating the distribution of a quantity of interest from a sample with additive measurement error. Nearly all methods in the literature are based on Fourier transformation because it is…

统计方法学 · 统计学 2026-03-03 Yun Cai , Hong Gu , Toby Kenney

Removing the aberrations introduced by the Point Spread Function (PSF) is a fundamental aspect of astronomical image processing. The presence of noise in observed images makes deconvolution a nontrivial task that necessitates the use of…

天体物理仪器与方法 · 物理学 2017-05-03 Samuel Farrens , Jean-Luc Starck , Fred Maurice Ngolè Mboula

Standard convolutions are prevalent in image processing and deep learning, but their fixed kernels limits adaptability. Several deformation strategies of the reference kernel grid have been proposed. Yet, they lack a unified theoretical…

计算机视觉与模式识别 · 计算机科学 2025-07-31 Thomas Dagès , Michael Lindenbaum , Alfred M. Bruckstein

Deconvolution is the most widely used aberration correction technique in microscopy, however most techniques assume that the aberrations are the same for each point in the image, which is rarely true. Methods for tracking spatially varying…

光学 · 物理学 2025-12-02 Jakub Czuchnowski , Chuan Li , Hongli Ni , Brandon Weissbourd , Jerome Mertz
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