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PCA is widely used in health and care research to analyze complex HD datasets, such as patient health records, genetic data, and medical imaging. By reducing dimensionality, PCA helps identify key patterns and trends, which can aid in…

统计方法学 · 统计学 2025-04-01 Nuwan Weeraratne , Lyn Hunt , Jason Kurz

Lossy compression of point clouds reduces storage and transmission costs; however, it inevitably leads to irreversible distortion in geometry structure and attribute information. To address these issues, we propose a unified geometry and…

计算机视觉与模式识别 · 计算机科学 2025-10-28 Pan Zhao , Hui Yuan , Chongzhen Tian , Tian Guo , Raouf Hamzaoui , Zhigeng Pan

We propose a new high dimensional semiparametric principal component analysis (PCA) method, named Copula Component Analysis (COCA). The semiparametric model assumes that, after unspecified marginally monotone transformations, the…

机器学习 · 统计学 2014-02-20 Fang Han , Han Liu

Recent advancements in self-supervised learning in the point cloud domain have demonstrated significant potential. However, these methods often suffer from drawbacks, including lengthy pre-training time, the necessity of reconstruction in…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Ayumu Saito , Prachi Kudeshia , Jiju Poovvancheri

This paper develops a novel, fully automated forecast averaging scheme, which combines LASSO estimation method with Principal Component Averaging (PCA). LASSO-PCA (LPCA) explores a pool of predictions based on a single model but calibrated…

应用统计 · 统计学 2024-04-09 Bartosz Uniejewski , Katarzyna Maciejowska

Point cloud completion task aims to predict the missing part of incomplete point clouds and generate complete point clouds with details. In this paper, we propose a novel point cloud completion network, namely CompleteDT. Specifically,…

计算机视觉与模式识别 · 计算机科学 2022-06-13 Jun Li , Shangwei Guo , Shaokun Han

Existing face restoration models have relied on general assessment metrics that do not consider the characteristics of facial regions. Recent works have therefore assessed their methods using human studies, which is not scalable and…

计算机视觉与模式识别 · 计算机科学 2025-11-20 Byungho Jo , Donghyeon Cho , In Kyu Park , Sungeun Hong

Principal Component Analysis (PCA) is a fundamental tool for representation learning, but its global linear formulation fails to capture the structure of data supported on curved manifolds. In contrast, manifold learning methods model…

机器学习 · 计算机科学 2026-04-22 Alexandre L. M. Levada

Many dense 3D point clouds have been exploited to represent visual objects instead of traditional images or videos. To evaluate the perceptual quality of various point clouds, in this letter, we propose a novel and efficient…

多媒体 · 计算机科学 2023-04-26 Wei Zhou , Guanghui Yue , Ruizeng Zhang , Yipeng Qin , Hantao Liu

Incorporating covariates into functional principal component analysis (PCA) can substantially improve the representation efficiency of the principal components and predictive performance. However, many existing functional PCA methods do not…

统计方法学 · 统计学 2023-08-22 Fei Ding , Shiyuan He , David E. Jones , Jianhua Z. Huang

Quad meshes are essential in geometric modeling and computational mechanics. Although learning-based methods for triangle mesh demonstrate considerable advancements, quad mesh generation remains less explored due to the challenge of…

计算机视觉与模式识别 · 计算机科学 2025-04-29 Zezeng Li , Zhihui Qi , Weimin Wang , Ziliang Wang , Junyi Duan , Na Lei

As the basic task of point cloud analysis, classification is fundamental but always challenging. To address some unsolved problems of existing methods, we propose a network that captures geometric features of point clouds for better…

计算机视觉与模式识别 · 计算机科学 2021-04-14 Shi Qiu , Saeed Anwar , Nick Barnes

The past several years have witnessed the emergence of learned point cloud compression (PCC) techniques. However, current learning-based lossless point cloud attribute compression (PCAC) methods either suffer from high computational…

计算机视觉与模式识别 · 计算机科学 2024-04-11 Kang You , Pan Gao , Zhan Ma

The continual improvement of 3D sensors has driven the development of algorithms to perform point cloud analysis. In fact, techniques for point cloud classification and segmentation have in recent years achieved incredible performance…

计算机视觉与模式识别 · 计算机科学 2021-01-05 Junming Zhang , Weijia Chen , Yuping Wang , Ram Vasudevan , Matthew Johnson-Roberson

Point cloud analysis is challenging due to irregularity and unordered data structure. To capture the 3D geometries, prior works mainly rely on exploring sophisticated local geometric extractors using convolution, graph, or attention…

计算机视觉与模式识别 · 计算机科学 2022-11-30 Xu Ma , Can Qin , Haoxuan You , Haoxi Ran , Yun Fu

The Geometry-based Point Cloud Compression (G-PCC) has been developed by the Moving Picture Experts Group to compress point clouds. In its lossy mode, the reconstructed point cloud by G-PCC often suffers from noticeable distortions due to…

图像与视频处理 · 电气工程与系统科学 2024-02-20 Dingquan Li , Kede Ma , Jing Wang , Ge Li

Ridge-valley features are important elements of point clouds, as they contain rich surface information. To recognize these features from point clouds, this paper introduces an extreme point distance (EPD) criterion with scale independence.…

图形学 · 计算机科学 2019-10-14 Jianhui Nie , Zhaochen Zhang , Ye Liu , Hao Gao , Feng Xu , WenKai Shi

Point clouds arising from structured data, mainly as a result of CT scans, provides special properties on the distribution of points and the distances between those. Yet often, the amount of data provided can not compare to unstructured…

计算几何 · 计算机科学 2017-02-16 Franziska Lippoldt , Hartmut Schwandt

Principal component analysis (PCA) is a classical and ubiquitous method for reducing data dimensionality, but it is suboptimal for heterogeneous data that are increasingly common in modern applications. PCA treats all samples uniformly so…

统计理论 · 数学 2021-12-02 David Hong , Kyle Gilman , Laura Balzano , Jeffrey A. Fessler

Category-level object pose estimation aims to predict the pose and size of arbitrary objects in specific categories. Existing methods struggle with the inherent incompleteness of observed point clouds, which limits their ability to capture…

计算机视觉与模式识别 · 计算机科学 2026-05-26 Huan Ren , Yihan Chen , Chuxin Wang , Nailong Liu , Wenfei Yang , Tianzhu Zhang
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