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We propose the application of iterative regularization for the development of ensemble methods for solving Bayesian inverse problems. In concrete, we construct (i) a variational iterative regularizing ensemble Levenberg-Marquardt method…

Numerical Analysis · Mathematics 2014-06-25 Marco A. Iglesias

Robot-assisted Endoscopic Submucosal Dissection (ESD) improves the surgical procedure by providing a more comprehensive view through advanced robotic instruments and bimanual operation, thereby enhancing dissection efficiency and accuracy.…

Robotics · Computer Science 2024-12-02 Mengya Xu , Wenjin Mo , Guankun Wang , Huxin Gao , An Wang , Long Bai , Chaoyang Lyu , Xiaoxiao Yang , Zhen Li , Hongliang Ren

Symmetric Positive Definite (SPD) matrices have received wide attention in machine learning due to their intrinsic capacity to encode underlying structural correlation in data. Many successful Riemannian metrics have been proposed to…

Machine Learning · Computer Science 2024-08-30 Ziheng Chen , Yue Song , Tianyang Xu , Zhiwu Huang , Xiao-Jun Wu , Nicu Sebe

We address the problem of network calibration adjusting miscalibrated confidences of deep neural networks. Many approaches to network calibration adopt a regularization-based method that exploits a regularization term to smooth the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Hyekang Park , Jongyoun Noh , Youngmin Oh , Donghyeon Baek , Bumsub Ham

In this paper, we propose a support driven reweighted $\ell_1$ minimization algorithm (SDRL1) that solves a sequence of weighted $\ell_1$ problems and relies on the support estimate accuracy. Our SDRL1 algorithm is related to the IRL1…

Information Theory · Computer Science 2012-06-01 Hassan Mansour , Ozgur Yilmaz

Smoothness is crucial for attaining fast rates in first-order optimization. However, many optimization problems in modern machine learning involve non-smooth objectives. Recent studies relax the smoothness assumption by allowing the…

Optimization and Control · Mathematics 2026-02-11 Dingzhi Yu , Wei Jiang , Hongyi Tao , Yuanyu Wan , Lijun Zhang

In image-guided liver surgery, 3D-3D non-rigid registration methods play a crucial role in estimating the mapping between the preoperative model and the intraoperative surface represented as point clouds, addressing the challenge of tissue…

Image and Video Processing · Electrical Eng. & Systems 2025-03-18 Zixin Yang , Richard Simon , Kelly Merrell , Cristian. A. Linte

Optimization on Riemannian manifolds widely arises in eigenvalue computation, density functional theory, Bose-Einstein condensates, low rank nearest correlation, image registration, and signal processing, etc. We propose an adaptive…

Optimization and Control · Mathematics 2017-08-08 Jiang Hu , Andre Milzarek , Zaiwen Wen , Yaxiang Yuan

We propose a sparse regularization model for inversion of incomplete Fourier transforms and apply it to seismic wavefield modeling. The objective function of the proposed model employs the Moreau envelope of the $\ell_0$ norm under a tight…

Numerical Analysis · Mathematics 2022-06-13 Tingting Wu , Yuesheng Xu

The de-facto standard approach of promoting sparsity by means of $\ell_1$-regularization becomes ineffective in the presence of simplex constraints, i.e.,~the target is known to have non-negative entries summing up to a given constant. The…

Methodology · Statistics 2016-05-04 Ping Li , Syama Sundar Rangapuram , Martin Slawski

This paper presents EROAM, a novel event-based rotational odometry and mapping system that achieves real-time, accurate camera rotation estimation. Unlike existing approaches that rely on event generation models or contrast maximization,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Wanli Xing , Shijie Lin , Linhan Yang , Zeqing Zhang , Yanjun Du , Maolin Lei , Yipeng Pan , Chen Wang , Jia Pan

Modern 3D laser-range scanners have a high data rate, making online simultaneous localization and mapping (SLAM) computationally challenging. Recursive state estimation techniques are efficient but commit to a state estimate immediately…

Robotics · Computer Science 2018-10-17 David Droeschel , Sven Behnke

Cryo-electron microscopy (cryo-EM) is a widely used technique for recovering the 3-D structure of biological molecules from a large number of experimentally generated noisy 2-D tomographic projection images of the 3-D structure, taken from…

Numerical Analysis · Mathematics 2025-11-17 Jeremy Hoskins , Yuehaw Khoo , Oscar Mickelin , Amit Singer , Yuguan Wang

Unsupervised registration strategies bypass requirements in ground truth transforms or segmentations by optimising similarity metrics between fixed and moved volumes. Among these methods, a recent subclass of approaches based on…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Benjamin Billot , Ramya Muthukrishnan , Esra Abaci-Turk , P. Ellen Grant , Nicholas Ayache , Hervé Delingette , Polina Golland

Accurate and robust localization and mapping are essential components for most autonomous robots. In this paper, we propose a SLAM system for building globally consistent maps, called PIN-SLAM, that is based on an elastic and compact…

Robotics · Computer Science 2024-07-03 Yue Pan , Xingguang Zhong , Louis Wiesmann , Thorbjörn Posewsky , Jens Behley , Cyrill Stachniss

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

Data Analysis, Statistics and Probability · Physics 2017-01-12 Yun Zhao

In this paper, we consider a class of optimization problems constrained to the generalized Stiefel manifold. Such problems are fundamental to a wide range of real-world applications, including generalized canonical correlation analysis,…

Optimization and Control · Mathematics 2026-02-06 Linshuo Jiang , Nachuan Xiao , Xin Liu

Extreme-ultraviolet (EUV) observations provide considerable insight into evolving physical conditions in the active solar atmosphere. For a prescribed density and temperature structure, it is straightforward to construct the corresponding…

Instrumentation and Methods for Astrophysics · Physics 2023-04-19 Paolo Massa , A. Gordon Emslie , Iain G. Hannah , Eduard P. Kontar

Single particle electron cryomicroscopy (cryo-EM) allows for structures of proteins and protein complexes to be determined from images of non-crystalline specimens. Cryo-EM data analysis requires electron microscope images of randomly…

Instrumentation and Detectors · Physics 2015-11-23 Jianhua Zhao , Marcus A. Brubaker , Samir Benlekbir , John L. Rubinstein

Cryo-electron microscopy (cryo-EM) is capable of producing reconstructed 3D images of biomolecules at near-atomic resolution. As such, it represents one of the most promising imaging techniques in structural biology. However, raw cryo-EM…

Quantitative Methods · Quantitative Biology 2021-05-25 Nina Miolane , Frédéric Poitevin , Yee-Ting Li , Susan Holmes
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