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The effects of several nonlinear regularization techniques are discussed in the framework of 3D seismic tomography. Traditional, linear, $\ell_2$ penalties are compared to so-called sparsity promoting $\ell_1$ and $\ell_0$ penalties, and a…

地球物理 · 物理学 2010-08-19 I. Loris , H. Douma , G. Nolet , I. Daubechies , C. Regone

In this paper, a novel approach via embedded tensor manifold regularization for 2D+3D facial expression recognition (FERETMR) is proposed. Firstly, 3D tensors are constructed from 2D face images and 3D face shape models to keep the…

计算机视觉与模式识别 · 计算机科学 2022-02-01 Yunfang Fu , Qiuqi Ruan , Ziyan Luo , Gaoyun An , Yi Jin , Jun Wan

Multi-Delay single-shot arterial spin labeling (ASL) imaging provides accurate cerebral blood flow (CBF) and, in addition, arterial transit time (ATT) maps but the inherent low SNR can be challenging. Especially standard fitting using…

The Lippmann--Schwinger--Lanczos (LSL) algorithm has recently been shown to provide an efficient tool for imaging and direct inversion of synthetic aperture radar data in multi-scattering environments [17], where the data set is limited to…

数值分析 · 数学 2024-07-10 V. Druskin , S. Moskow , M. Zaslavsky

Single-particle cryo-electron microscopy (cryo-EM) reconstructs the three-dimensional (3D) structure of bio-molecules from a large set of 2D projection images with random and unknown orientations. A crucial step in the single-particle…

图像与视频处理 · 电气工程与系统科学 2020-06-24 Mona Zehni , Laurène Donati , Emmanuel Soubies , Zhizhen J. Zhao , Michael Unser

Determining the 3D structures of biological molecules is a key problem for both biology and medicine. Electron Cryomicroscopy (Cryo-EM) is a promising technique for structure estimation which relies heavily on computational methods to…

机器学习 · 统计学 2015-01-29 Ali Punjani , Marcus A. Brubaker

Ensemble smoother (ES) has been widely used in various research fields to reduce the uncertainty of the system-of-interest. However, the commonly-adopted ES method that employs the Kalman formula, that is, ES$_\text{(K)}$, does not perform…

最优化与控制 · 数学 2021-02-03 Jiangjiang Zhang , Qiang Zheng , Laosheng Wu , Lingzao Zeng

We revisit the topic of common lines between projection images in single particle cryo-electron microscopy (cryo-EM). We derive a novel low-rank constraint on a certain $2n \times n$ matrix storing properly-scaled basis vectors for the…

最优化与控制 · 数学 2024-06-10 Tommi Muller , Adriana L. Duncan , Eric J. Verbeke , Joe Kileel

Motivated by the task of 2-D classification in single particle reconstruction by cryo-electron microscopy (cryo-EM), we consider the problem of heterogeneous multireference alignment of images. In this problem, the goal is to estimate a…

图像与视频处理 · 电气工程与系统科学 2019-10-03 Chao Ma , Tamir Bendory , Nicolas Boumal , Fred Sigworth , Amit Singer

In this article, we propose a simple and efficient hyperreduced strain-space model order reduction (MOR) approach for hyperelastic representative volume elements (RVEs), called Empirical Material Sampling and Linearisation (EMSL). The…

计算工程、金融与科学 · 计算机科学 2026-05-05 Erik Faust , Lisa Scheunemann

Balanced steady-state free precession (bSSFP) imaging enables high scan efficiency in MRI, but differs from conventional sequences in terms of elevated sensitivity to main field inhomogeneity and nonstandard T2/T1-weighted tissue contrast.…

图像与视频处理 · 电气工程与系统科学 2021-08-12 Kübra Keskin , Uğur Yılmaz , Tolga Çukur

In clinical imaging, magnetic resonance (MR) image volumes are often acquired as stacks of 2D slices with decreased scan times, improved signal-to-noise ratio, and image contrasts unique to 2D MR pulse sequences. While this is sufficient…

计算机视觉与模式识别 · 计算机科学 2026-03-09 Samuel W. Remedios , Shuwen Wei , Shuo Han , Jinwei Zhang , Aaron Carass , Kurt G. Schilling , Dzung L. Pham , Jerry L. Prince , Blake E. Dewey

We propose a metric learning paradigm, Regression-based Elastic Metric Learning (REML), which optimizes the elastic metric for geodesic regression on the manifold of discrete curves. Geodesic regression is most accurate when the chosen…

机器学习 · 计算机科学 2022-11-24 Adele Myers , Nina Miolane

Modulation-enhanced localization microscopy (MELM) has demonstrated significant improvements in both lateral and axial localization precision compared to conventional single-molecule localization microscopy (SMLM). However, lateral…

Cryogenic electron microscopy (cryo-EM) is an invaluable technique for determining high-resolution three-dimensional structures of biological macromolecules using transmission particle images. The inherent symmetry in these macromolecules…

最优化与控制 · 数学 2024-11-06 Qi Zhang , Chenglong Bao , Hai Lin , Mingxu Hu

Typical LiDAR SLAM architectures feature a front-end for odometry estimation and a back-end for refining and optimizing the trajectory and map, commonly through loop closures. However, loop closure detection in large-scale missions presents…

计算机视觉与模式识别 · 计算机科学 2025-12-02 Nikolaos Stathoulopoulos , Christoforos Kanellakis , George Nikolakopoulos

We address the estimation problem for general finite mixture models, with a particular focus on the elliptical mixture models (EMMs). Compared to the widely adopted Kullback-Leibler divergence, we show that the Wasserstein distance provides…

机器学习 · 计算机科学 2020-10-09 Shengxi Li , Zeyang Yu , Min Xiang , Danilo Mandic

We consider the fundamental task of optimising a real-valued function defined in a potentially high-dimensional Euclidean space, such as the loss function in many machine-learning tasks or the logarithm of the probability distribution in…

机器学习 · 统计学 2024-03-20 Marcelo Hartmann , Bernardo Williams , Hanlin Yu , Mark Girolami , Alessandro Barp , Arto Klami

We consider a nonsmooth optimization problem on Riemannian manifold, whose objective function is the sum of a differentiable component and a nonsmooth convex function. We propose a manifold inexact augmented Lagrangian method (MIALM) for…

最优化与控制 · 数学 2019-12-02 Deng Kangkang , Peng Zheng

In this paper a new technique aimed to obtain accurate estimates of the error in energy norm using a moving least squares (MLS) recovery-based procedure is presented. We explore the capabilities of a recovery technique based on an enhanced…