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The present work deals with the rational model order reduction method based on the single-point Least-Square (LS) Pad\'e approximation technique introduced in [3]. Algorithmical aspects concerning the construction of the rational LS-Pad\'e…

Numerical Analysis · Mathematics 2018-06-08 Francesca Bonizzoni , Fabio Nobile , Ilaria Perugia , Davide Pradovera

The line is a prevalent element in man-made environments, inherently encoding spatial structural information, thus making it a more robust choice for feature representation in practical applications. Despite its apparent advantages,…

Computer Vision and Pattern Recognition · Computer Science 2024-08-13 Yongcong Zhang , Bangyan Liao , Yifei Xue , Chen Lu , Peidong Liu , Yizhen Lao

Motivated by the idea of turbomachinery active subspace performance maps, this paper studies dimension reduction in turbomachinery 3D CFD simulations. First, we show that these subspaces exist across different blades---under the same…

Applications · Statistics 2019-10-22 Pranay Seshadri , Shaowu Yuchi , Shahrokh Shahpar , Geoffrey Parks

LiDAR odometry is one of the essential parts of LiDAR simultaneous localization and mapping (SLAM). However, existing LiDAR odometry tends to match a new scan simply iteratively with previous fixed-pose scans, gradually accumulating errors.…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Letian Zhang , Jinping Wang , Lu Jie , Nanjie Chen , Xiaojun Tan , Zhifei Duan

Bundle adjustment jointly optimizes camera intrinsics and extrinsics and 3D point triangulation to reconstruct a static scene. The triangulation constraint, however, is invalid for moving points captured in multiple unsynchronized videos…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Minh Vo , Yaser Sheikh , Srinivasa G. Narasimhan

We study three fundamental three-dimensional (3D) geometric packing problems: 3D (Geometric) Bin Packing (3D-BP), 3D Strip Packing (3D-SP), and Minimum Volume Bounding Box (3D-MVBB), where given a set of 3D (rectangular) cuboids, the goal…

Computational Geometry · Computer Science 2025-04-22 Debajyoti Kar , Arindam Khan , Malin Rau

Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

Variational Physics-Informed Neural Networks often suffer from poor convergence when using stochastic gradient-descent-based optimizers. By introducing a Least Squares solver for the weights of the last layer of the neural network, we…

Numerical Analysis · Mathematics 2025-03-20 Carlos Uriarte , Manuela Bastidas , David Pardo , Jamie M. Taylor , Sergio Rojas

Photoacoustic (PA) imaging technology combines the advantages of optical imaging and ultrasound imaging, showing great potential in biomedical applications. Many preclinical studies and clinical applications urgently require fast,…

Image and Video Processing · Electrical Eng. & Systems 2024-08-13 Yuwei Zheng , Zijian Gao , Yuting Shen , Jiadong Zhang , Daohuai Jiang , Fengyu Liu , Feng Gao , Fei Gao

We describe an efficient method for the approximation of functions using radial basis functions (RBFs), and extend this to a solver for boundary value problems on irregular domains. The method is based on RBFs with centers on a regular grid…

Numerical Analysis · Mathematics 2024-03-05 Yiqing Zhou , Daan Huybrechs

In this work, a new algorithm for solving symmetric indefinite systems of linear equations is presented. It factorizes the matrix into the form LDLt using Jacobi rotations in order to increase the pivot's absolute value. Furthermore, Rook's…

Numerical Analysis · Mathematics 2025-01-30 Ibai Coria , Gorka Urkullu , Haritz Uriarte , Igor Fernández de Bustos

Estimating pose from given 3D correspondences, including point-to-point, point-to-line and point-to-plane correspondences, is a fundamental task in computer vision with many applications. We present a complete solution for this task,…

Computer Vision and Pattern Recognition · Computer Science 2019-04-05 Lipu Zhou , Shengze Wang , Jiamin Ye , Michael Kaess

Plane adjustment (PA) is crucial for many 3D applications, involving simultaneous pose estimation and plane recovery. Despite recent advancements, it remains a challenging problem in the realm of multi-view point cloud registration. Current…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Bangyan Liao , Zhenjun Zhao , Lu Chen , Haoang Li , Daniel Cremers , Peidong Liu

Structure-from-Motion (SfM) is a fundamental 3D vision task for recovering camera parameters and scene geometry from multi-view images. While recent deep learning advances enable accurate Monocular Depth Estimation (MDE) from single images…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Shengjie Zhu , Ahmed Abdelkader , Mark J. Matthews , Xiaoming Liu , Wen-Sheng Chu

This paper provides a least squares formulation for the training of a 2-layer convolutional neural network using quadratic activation functions, a 2-norm loss function, and no regularization term. Using this method, an analytic expression…

Machine Learning · Computer Science 2024-11-18 Zachary Yetman Van Egmond , Luis Rodrigues

This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements. This task is of interest in medicine since it could enrich…

Numerical Analysis · Mathematics 2020-11-05 Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula

Quantum computing is expected to transform a range of computational tasks beyond the reach of classical algorithms. In this work, we examine the application of variational quantum algorithms (VQAs) for unsupervised image segmentation to…

Computer Vision and Pattern Recognition · Computer Science 2025-01-29 Supreeth Mysore Venkatesh , Antonio Macaluso , Marlon Nuske , Matthias Klusch , Andreas Dengel

We propose a bound-preserving (BP) Point-Average-Moment PolynomiAl-interpreted (PAMPA) scheme by blending third-order and first-order constructions. The originality of the present construction is that it does not need any explicit…

Numerical Analysis · Mathematics 2025-06-17 Rémi Abgrall , Miaosen Jiao , Yongle Liu , Kailiang Wu

In many applications throughout science and engineering, model reduction plays an important role replacing expensive large-scale linear dynamical systems by inexpensive reduced order models that capture key features of the original, full…

Numerical Analysis · Mathematics 2023-03-24 Jeffrey M. Hokanson , Caleb C. Magruder

Quantizing weights and activations of deep neural networks results in significant improvement in inference efficiency at the cost of lower accuracy. A source of the accuracy gap between full precision and quantized models is the…

Machine Learning · Computer Science 2020-06-16 Hadi Pouransari , Zhucheng Tu , Oncel Tuzel
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