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This paper presents a sparse Bayesian learning algorithm for inverse problems in signal and image processing with a total variation (TV) sparsity prior. Because of the prior used, and the fact that the prior parameters are estimated…

信号处理 · 电气工程与系统科学 2019-05-06 Victor Churchill , Anne Gelb

We have developed a new model of the Doppler tomography using total variation minimization (DTTVM). This method can reconstruct localized and non-axisymmetric profiles having sharp edges in the Doppler map. This characteristic is emphasized…

太阳与恒星天体物理 · 物理学 2015-06-23 Makoto Uemura , Taichi Kato , Daisaku Nogami , Ronald Mennickent

Stochastic variance reduced gradient (SVRG) is a popular variance reduction technique for accelerating stochastic gradient descent (SGD). We provide a first analysis of the method for solving a class of linear inverse problems in the lens…

数值分析 · 数学 2022-01-19 Bangti Jin , Zehui Zhou , Jun Zou

Objective: We investigate and develop optimization-based algorithms for accurate reconstruction of four-dimensional (4D)-spectral-spatial (SS) images directly from data collected over limited angular ranges (LARs) in continuous-wave (CW)…

医学物理 · 物理学 2023-04-26 Zheng Zhang , Boris Epel , Buxin Chen , Dan Xia , Emil Y. Sidky , Zhiwei Qiao , Howard Halpern , Xiaochuan Pan

Analyzing 3D anisotropic materials presents significant challenges, especially when assessing 3D orientations, material distributions, and anisotropies through scattered light, due to the inherently vectorial nature of light-matter…

光学 · 物理学 2024-04-29 ChulMin Oh , Herve Hugonnet , Juheon Lee , YongKeun Park

The robust low-rank tensor completion problem addresses the challenge of recovering corrupted high-dimensional tensor data with missing entries, outliers, and sparse noise commonly found in real-world applications. Existing methodologies…

机器学习 · 统计学 2026-04-16 Biswarup Karmakar , Ratikanta Behera

Short-time Fourier transform (STFT) is the most common window-based approach for analyzing the spectrotemporal dynamics of time series. To mitigate the effects of high variance on the spectral estimates due to finite-length, independent…

应用统计 · 统计学 2022-01-19 Andrew H. Song , Seong-Eun Kim , Emery N. Brown

The total variation method is widely used in image noise suppression. However, this method is easy to cause the loss of image details, and it is also sensitive to parameters such as iteration time. In this work, the total variation method…

图像与视频处理 · 电气工程与系统科学 2020-03-19 Shuo Huang , Suiren Wan

We study the problem of one-dimensional regression of data points with total-variation (TV) regularization (in the sense of measures) on the second derivative, which is known to promote piecewise-linear solutions with few knots. While there…

最优化与控制 · 数学 2021-12-22 Thomas Debarre , Quentin Denoyelle , Michael Unser , Julien Fageot

We consider convex-concave saddle-point problems where the objective functions may be split in many components, and extend recent stochastic variance reduction methods (such as SVRG or SAGA) to provide the first large-scale linearly…

机器学习 · 计算机科学 2016-11-04 P Balamurugan , Francis Bach

We explore the use of the recently proposed "total nuclear variation" (TNV) as a regularizer for reconstructing multi-channel, spectral CT images. This convex penalty is a natural extension of the total variation (TV) to vector-valued…

医学物理 · 物理学 2015-06-23 David Rigie , Patrick La Riviere

Sketch-and-solve (SAS) is a very successful method to efficiently estimate the solution of heavily overdetermined large linear least squares problems. It uses random sketching to reduce the size of the problem, hence reducing the…

数值分析 · 数学 2026-05-26 Irina-Beatrice Haas , Michael B. Giles , Yuji Nakatsukasa

Limited view tomographic reconstruction aims to reconstruct a tomographic image from a limited number of sinogram or projection views arising from sparse view or limited angle acquisitions that reduce radiation dose or shorten scanning…

图像与视频处理 · 电气工程与系统科学 2020-09-04 Bo Zhou , S. Kevin Zhou , James S. Duncan , Chi Liu

This work is about the total variation (TV) minimization which is used for recovering gradient-sparse signals from compressed measurements. Recent studies indicate that TV minimization exhibits a phase transition behavior from failure to…

信息论 · 计算机科学 2019-09-17 Sajad Daei , Farzan Haddadi , Arash Amini

While recent Transformer-based approaches have shown impressive performances on event-based object detection tasks, their high computational costs still diminish the low power consumption advantage of event cameras. Image-based works…

计算机视觉与模式识别 · 计算机科学 2024-04-03 Yansong Peng , Hebei Li , Yueyi Zhang , Xiaoyan Sun , Feng Wu

This paper presents a patch-wise low-rank based image denoising method with constrained variational model involving local and nonlocal regularization. On one hand, recent patch-wise methods can be represented as a low-rank matrix…

计算机视觉与模式识别 · 计算机科学 2015-12-04 Yuan Xie

This paper revisits the error analysis of the Stochastic Lanczos Quadrature (SLQ) method for approximating the trace of matrix functions, with a specific focus on asymmetric Lanczos quadrature rules. We reexplain an existing theoretical…

数值分析 · 数学 2026-05-14 Wenhao Li , Yixuan Huang , Shengxin Zhu

In this paper we presented the modified algorithm for astrometric reduction of the wide-field images. This algorithm is based on the iterative using of the method of ordinary least squares (OLS) and statistical Student t-criterion. The…

天体物理仪器与方法 · 物理学 2019-04-10 Volodymyr Akhmetov , Sergii Khlamov , Vladislav Khramtsov , Artem Dmytrenko

Stereo video retargeting aims to resize an image to a desired aspect ratio. The quality of retargeted videos can be significantly impacted by the stereo videos spatial, temporal, and disparity coherence, all of which can be impacted by the…

计算机视觉与模式识别 · 计算机科学 2023-04-19 Hassan Imani , Md Baharul Islam , Lai-Kuan Wong

Particle tracking velocimetry (PTV) is widely used to measure time-resolved, three-dimensional velocity and pressure fields in fluid dynamics research. Inaccurate localization and tracking of particles is a key source of error in PTV,…

流体动力学 · 物理学 2026-03-31 Ke Zhou , Jiaqi Li , Jiarong Hong , Samuel J. Grauer