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For an effective application of compressed sensing (CS), which exploits the underlying compressibility of an image, one of the requirements is that the undersampling artifact be incoherent (noise-like) in the sparsifying transform domain.…

信号处理 · 电气工程与系统科学 2022-06-09 Mihir Joshi , Aaron Pruitt , Chong Chen , Yingmin Liu , Rizwan Ahmad

We report the application of implicit likelihood inference to the prediction of the macro-parameters of strong lensing systems with neural networks. This allows us to perform deep learning analysis of lensing systems within a well-defined…

天体物理仪器与方法 · 物理学 2023-01-25 Ronan Legin , Yashar Hezaveh , Laurence Perreault-Levasseur , Benjamin Wandelt

The normalizing constant plays an important role in Bayesian computation, and there is a large literature on methods for computing or approximating normalizing constants that cannot be evaluated in closed form. When the normalizing constant…

统计计算 · 统计学 2020-09-02 Yuling Yao , Collin Cademartori , Aki Vehtari , Andrew Gelman

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

数值分析 · 数学 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

This paper presents an adaptive image sampling algorithm based on Deep Learning (DL). The adaptive sampling mask generation network is jointly trained with an image inpainting network. The sampling rate is controlled in the mask generation…

计算机视觉与模式识别 · 计算机科学 2019-12-17 Qiqin Dai , Henry Chopp , Emeline Pouyet , Oliver Cossairt , Marc Walton , Aggelos K. Katsaggelos

Compressed sensing (CS) is an innovative technique allowing to represent signals through a small number of their linear projections. In this paper we address the application of CS to the scenario of progressive acquisition of 2D visual…

信息论 · 计算机科学 2014-03-06 Giulio Coluccia , Enrico Magli

Semi-structured regression models enable the joint modeling of interpretable structured and complex unstructured feature effects. The structured model part is inspired by statistical models and can be used to infer the input-output…

机器学习 · 计算机科学 2024-01-24 Daniel Dold , David Rügamer , Beate Sick , Oliver Dürr

Learning-based lossless image compression employs pixel-based or subimage-based auto-regression for probability estimation, which achieves desirable performances. However, the existing works only consider context dependencies in one…

图像与视频处理 · 电气工程与系统科学 2025-03-17 Tiantian Li , Qunbing Xia , Yue Li , Ruixiao Guo , Gaobo Yang

We propose the notion of a sample distortion (SD) function for independent and identically distributed (i.i.d) compressive distributions to fundamentally quantify the achievable reconstruction performance of compressed sensing for certain…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Chunli Guo , Mike E. Davies

This paper presents modification of the TwIST algorithm for Compressive Sensing MRI images reconstruction. Compressive Sensing is new approach in signal processing whose basic idea is recovering signal form small set of available samples.…

计算机视觉与模式识别 · 计算机科学 2015-03-26 Elma Hot , Petar Sekulić

We propose a novel image sampling method for differentiable image transformation in deep neural networks. The sampling schemes currently used in deep learning, such as Spatial Transformer Networks, rely on bilinear interpolation, which…

计算机视觉与模式识别 · 计算机科学 2019-09-11 Wei Jiang , Weiwei Sun , Andrea Tagliasacchi , Eduard Trulls , Kwang Moo Yi

We consider deep learning strategies in ultrasound systems, from the front-end to advanced applications. Our goal is to provide the reader with a broad understanding of the possible impact of deep learning methodologies on many aspects of…

信号处理 · 电气工程与系统科学 2019-07-30 Ruud JG van Sloun , Regev Cohen , Yonina C Eldar

Diffusion models have emerged as a powerful foundation model for visual generations. With an appropriate sampling process, it can effectively serve as a generative prior for solving general inverse problems. Current posterior sampling-based…

计算机视觉与模式识别 · 计算机科学 2025-07-01 Shijie Zhou , Huaisheng Zhu , Rohan Sharma , Jiayi Chen , Ruiyi Zhang , Kaiyi Ji , Changyou Chen

Stochastic sampling techniques are ubiquitous in real-time rendering, where performance constraints force the use of low sample counts, leading to noisy intermediate results. To remove this noise, the post-processing step of temporal and…

图形学 · 计算机科学 2023-10-25 William Donnelly , Alan Wolfe , Judith Bütepage , Jon Valdés

A new algorithm is developed to jointly recover a temporal sequence of images from noisy and under-sampled Fourier data. Specifically, we consider the case where each data set is missing vital information that prevents its (individual)…

数值分析 · 数学 2022-05-13 Yao Xiao , Jan Glaubitz , Anne Gelb , Guohui Song

We propose a simple all-in-line single-shot scheme for diagnostics of ultrashort laser pulses, consisting of a multi-mode fiber, a nonlinear crystal and a CCD camera. The system records a 2D spatial intensity pattern, from which the pulse…

Diffusion Posterior Sampling(DPS) methodology is a novel framework that permits nonlinear CT reconstruction by integrating a diffusion prior and an analytic physical system model, allowing for one-time training for different applications.…

图像与视频处理 · 电气工程与系统科学 2024-07-19 Xiao Jiang , Shudong Li , Peiqing Teng , Grace Gang , J. Webster Stayman

This work addresses the problem of reconstructing biomedical signals from their lower dimensional projections. Traditionally Compressed Sensing (CS) based techniques have been employed for this task. These are transductive inversion…

计算机视觉与模式识别 · 计算机科学 2018-12-27 Kavya Gupta , Brojeshwar Bhowmick , Angshul Majumdar

This paper presents the application, testing and first results of a new adaptive Bayesian inference analysis which utilises conventional and ultrafast spectroscopic measurements made in the divertor chamber to investigate the divertor…

等离子体物理 · 物理学 2024-04-24 Xander Pope , Kevin Verhaegh , Chris Bowman , Bruce Lipschultz

This paper presents an efficient Bayesian framework for solving nonlinear, high-dimensional model calibration problems. It is based on a Variational Bayesian formulation that aims at approximating the exact posterior by means of solving an…

应用统计 · 统计学 2015-11-02 Isabell M. Franck , P. S. Koutsourelakis