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Persistence diagrams are a useful tool from topological data analysis which can be used to provide a concise description of a filtered topological space. What makes them even more useful in practice is that they come with a notion of a…

计算几何 · 计算机科学 2018-11-05 Jesse J. Berwald , Joel M. Gottlieb , Elizabeth Munch

In this work, we connect two distinct concepts for unsupervised domain adaptation: feature distribution alignment between domains by utilizing the task-specific decision boundary and the Wasserstein metric. Our proposed sliced Wasserstein…

计算机视觉与模式识别 · 计算机科学 2019-03-12 Chen-Yu Lee , Tanmay Batra , Mohammad Haris Baig , Daniel Ulbricht

The recent surge in 3D data acquisition has spurred the development of geometric deep learning models for point cloud processing, boosted by the remarkable success of transformers in natural language processing. While point cloud…

计算机视觉与模式识别 · 计算机科学 2024-01-29 Alessandro Baiocchi , Indro Spinelli , Alessandro Nicolosi , Simone Scardapane

The problems of shape classification and part segmentation from 3D point clouds have garnered increasing attention in the last few years. Both of these problems, however, suffer from relatively small training sets, creating the need for…

计算机视觉与模式识别 · 计算机科学 2020-08-06 Matheus Gadelha , Aruni RoyChowdhury , Gopal Sharma , Evangelos Kalogerakis , Liangliang Cao , Erik Learned-Miller , Rui Wang , Subhransu Maji

Lidar became an important component of the perception systems in autonomous driving. But challenges of training data acquisition and annotation made emphasized the role of the sensor to sensor domain adaptation. In this work, we address the…

计算机视觉与模式识别 · 计算机科学 2023-02-01 Artem Savkin , Yida Wang , Sebastian Wirkert , Nassir Navab , Federico Tombar

Existing techniques to compress point cloud attributes leverage either geometric or video-based compression tools. We explore a radically different approach inspired by recent advances in point cloud representation learning. Point clouds…

图像与视频处理 · 电气工程与系统科学 2020-06-23 Maurice Quach , Giuseppe Valenzise , Frederic Dufaux

Dual-tip phase-detection probes can be used to measure flow properties in gas-liquid flows. Traditionally, time-averaged interfacial velocities have been obtained through cross-correlation analysis of long time-series of phase fraction…

流体动力学 · 物理学 2020-01-14 Matthias Kramer , Benjamin Hohermuth , Daniel Valero , Stefan Felder

Local density of point clouds is crucial for representing local details, but has been overlooked by existing point cloud compression methods. To address this, we propose a novel deep point cloud compression method that preserves local…

计算机视觉与模式识别 · 计算机科学 2022-04-28 Yun He , Xinlin Ren , Danhang Tang , Yinda Zhang , Xiangyang Xue , Yanwei Fu

Point clouds obtained from 3D scans are typically sparse, irregular, and noisy, and required to be consolidated. In this paper, we present the first deep learning based edge-aware technique to facilitate the consolidation of point clouds.…

计算机视觉与模式识别 · 计算机科学 2018-07-18 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

Clustering methods seek to partition data such that elements are more similar to elements in the same cluster than to elements in different clusters. The main challenge in this task is the lack of a unified definition of a cluster,…

统计理论 · 数学 2022-07-06 Franz Besold , Vladimir Spokoiny

Finding meaningful distances between high-dimensional data samples is an important scientific task. To this end, we propose a new tree-Wasserstein distance (TWD) for high-dimensional data with two key aspects. First, our TWD is specifically…

机器学习 · 计算机科学 2025-02-25 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

Point clouds data, as one kind of representation of 3D objects, are the most primitive output obtained by 3D sensors. Unlike 2D images, point clouds are disordered and unstructured. Hence it is not straightforward to apply classification…

计算机视觉与模式识别 · 计算机科学 2019-06-03 Zhuyang Xie , Junzhou Chen , Bo Peng

In video-based dynamic point cloud compression (V-PCC), 3D point clouds are projected onto 2D images for compressing with the existing video codecs. However, the existing video codecs are originally designed for natural visual signals, and…

图像与视频处理 · 电气工程与系统科学 2021-03-12 Jian Xiong , Hao Gao , Miaohui Wang , Hongliang Li , King Ngi Ngan , Weisi Lin

To achieve point cloud denoising, traditional methods heavily rely on geometric priors, and most learning-based approaches suffer from outliers and loss of details. Recently, the gradient-based method was proposed to estimate the gradient…

计算机视觉与模式识别 · 计算机科学 2023-06-27 Yaping Zhao , Haitian Zheng , Zhongrui Wang , Jiebo Luo , Edmund Y. Lam

The optimal transport barycenter (a.k.a. Wasserstein barycenter) is a fundamental notion of averaging that extends from the Euclidean space to the Wasserstein space of probability distributions. Computation of the unregularized barycenter…

机器学习 · 统计学 2025-05-27 Kaheon Kim , Rentian Yao , Changbo Zhu , Xiaohui Chen

We propose a new unsupervised anomaly detection method based on the sliced-Wasserstein distance for training data selection in machine learning approaches. Our filtering technique is interesting for decision-making pipelines deploying…

机器学习 · 计算机科学 2025-04-18 Julien Pallage , Antoine Lesage-Landry

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

机器学习 · 统计学 2021-05-26 Viet Huynh , Nhat Ho , Nhan Dam , XuanLong Nguyen , Mikhail Yurochkin , Hung Bui , and Dinh Phung

We introduce the Wasserstein Transform (WT), a general unsupervised framework for updating distance structures on given data sets with the purpose of enhancing features and denoising. Our framework represents each data point by a…

机器学习 · 计算机科学 2026-04-14 Kun Jin , Facundo Mémoli , Zane Smith , Zhengchao Wan

Clustering is a fundamental task in network analysis, essential for uncovering hidden structures within complex systems. Edge clustering, which focuses on relationships between nodes rather than the nodes themselves, has gained increased…

统计计算 · 统计学 2025-07-14 Haomin Li , Daniel K. Sewell

We study the problem of attribute compression for large-scale unstructured 3D point clouds. Through an in-depth exploration of the relationships between different encoding steps and different attribute channels, we introduce a deep…

计算机视觉与模式识别 · 计算机科学 2022-04-12 Guangchi Fang , Qingyong Hu , Hanyun Wang , Yiling Xu , Yulan Guo