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Computer representations of three-dimensional (3D) geometries are crucial for simulating systems and processes in engineering and science. In medicine, and more specifically, biomechanics and orthopaedics, obtaining and using 3D geometries…

Quantitative Methods · Quantitative Biology 2024-04-05 Thor E. Andreassen , Donald R. Hume , Landon D. Hamilton , Sean E. Higinbotham , Kevin B. Shelburne

Recent technical advances in collecting spatial data have been increasing the demand for methods to analyze large spatial datasets. The statistical analysis for these types of datasets can provide useful knowledge in various fields.…

Methodology · Statistics 2021-06-16 Toshihiro Hirano

This paper introduces an active learning framework for manifold Gaussian Process (GP) regression, combining manifold learning with strategic data selection to improve accuracy in high-dimensional spaces. Our method jointly optimizes a…

Machine Learning · Statistics 2026-05-12 Yuanxing Cheng , Lulu Kang , Yiwei Wang , Chun Liu

Subspace learning and matrix factorization problems have great many applications in science and engineering, and efficient algorithms are critical as dataset sizes continue to grow. Many relevant problem formulations are non-convex, and in…

Numerical Analysis · Computer Science 2022-02-22 Dejiao Zhang , Laura Balzano

Parametrizations of data manifolds in shape spaces can be computed using the rich toolbox of Riemannian geometry. This, however, often comes with high computational costs, which raises the question if one can learn an efficient neural…

Machine Learning · Computer Science 2023-09-04 Josua Sassen , Klaus Hildebrandt , Martin Rumpf , Benedikt Wirth

Recent medical image reconstruction techniques focus on generating high-quality medical images suitable for clinical use at the lowest possible cost and with the fewest possible adverse effects on patients. Recent works have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-07 Shijun Liang , Anish Lahiri , Saiprasad Ravishankar

Retrieval-based multimodal document QA aims to identify and integrate relevant information from visually rich documents with complex multimodal structures. While retrieval-augmented generation (RAG) has shown strong performance in…

Information Retrieval · Computer Science 2026-04-21 Hui Wu , Haoquan Zhai , Yuchen Li , Hengyi Cai , Peirong Zhang , Yidan Zhang , Lei Wang , Chunle Wang , Yingyan Hou , Shuaiqiang Wang , Dawei Yin

Deep neural networks are capable of learning powerful representations to tackle complex vision tasks but expose undesirable properties like the over-fitting issue. To this end, regularization techniques like image augmentation are necessary…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Haohang Xu , Shuangrui Ding , Manqi Zhao , Dongsheng Jiang

High-dimensional data are ubiquitous in contemporary science and finding methods to compress them is one of the primary goals of machine learning. Given a dataset lying in a high-dimensional space (in principle hundreds to several thousands…

Machine Learning · Computer Science 2020-03-24 Vittorio Erba , Marco Gherardi , Pietro Rotondo

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

Numerical Analysis · Mathematics 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

We propose a novel iterative method to adapt a a graph to d-dimensional image data. The method drives the nodes of the graph towards image features. The adaptation process naturally lends itself to a measure of feature saliency which can…

Computer Vision and Pattern Recognition · Computer Science 2019-09-06 Alberto Gomez , Veronika A. Zimmer , Bishesh Khanal , Nicolas Toussaint , Julia A. Schnabel

In this work, we introduce the Geometry-Aware Large Reconstruction Model (GeoLRM), an approach which can predict high-quality assets with 512k Gaussians and 21 input images in only 11 GB GPU memory. Previous works neglect the inherent…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Chubin Zhang , Hongliang Song , Yi Wei , Yu Chen , Jiwen Lu , Yansong Tang

Unsupervised domain adaptation (UDA) has achieved unprecedented success in improving the cross-domain robustness of object detection models. However, existing UDA methods largely ignore the instantaneous data distribution during model…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Zongxian Li , Qixiang Ye , Chong Zhang , Jingjing Liu , Shijian Lu , Yonghong Tian

Recent speech foundation models excel at multilingual automatic speech recognition (ASR) for high-resource languages, but adapting them to low-resource languages remains challenging due to data scarcity and efficiency constraints.…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-03 Yang Xiao , Eun-Jung Holden , Ting Dang

Technological developments and open data policies have made large, global environmental datasets accessible to everyone. For analysing such datasets, including spatiotemporal correlations using traditional models based on Gaussian processes…

Computation · Statistics 2020-07-01 Marius Appel , Edzer Pebesma

Depth map super-resolution (DSR) has been a fundamental task for 3D computer vision. While arbitrary scale DSR is a more realistic setting in this scenario, previous approaches predominantly suffer from the issue of inefficient…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Xiaohang Wang , Xuanhong Chen , Bingbing Ni , Zhengyan Tong , Hang Wang

Representing graph data in a low-dimensional space for subsequent tasks is the purpose of attributed graph embedding. Most existing neural network approaches learn latent representations by minimizing reconstruction errors. Rare work…

Machine Learning · Computer Science 2024-01-15 Bozhen Hu , Zelin Zang , Jun Xia , Lirong Wu , Cheng Tan , Stan Z. Li

We proposed a novel dense line spectrum super-resolution algorithm, the DMRA, that leverages dynamical multi-resolution of atoms technique to address the limitation of traditional compressed sensing methods when handling dense point-source…

Signal Processing · Electrical Eng. & Systems 2024-09-04 Mingguang Han , Yi Zeng , Xiaoguang Li , Tiejun Li

Local learning of sparse image models has proven to be very effective to solve inverse problems in many computer vision applications. To learn such models, the data samples are often clustered using the K-means algorithm with the Euclidean…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Julio Cesar Ferreira , Elif Vural , Christine Guillemot

Let $\mathcal{D}$ be the dictionary of Gaussian mixtures: the functions created by affine change of variables of a single Gaussian in $n$ dimensions. $\mathcal{D}$ is used pervasively in scientific applications to a degree that…

Classical Analysis and ODEs · Mathematics 2019-10-24 Wolfgang Erb , Thomas Hangelbroek , Amos Ron
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