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Topological data analysis provides a set of tools to uncover low-dimensional structure in noisy point clouds. Prominent amongst the tools is persistence homology, which summarizes birth-death times of homological features using data objects…

Methodology · Statistics 2024-02-05 James Matuk , Sebastian Kurtek , Karthik Bharath

Accurate segmentation of tubular and curvilinear structures, such as blood vessels, neurons, and road networks, is crucial in various applications. A key challenge is ensuring topological correctness while maintaining computational…

Image and Video Processing · Electrical Eng. & Systems 2025-03-21 Siyi Wu , Leyi Zhao , Haotian Ma , Xinyuan Song

TopoDetect is a Python package that allows the user to investigate if important topological features, such as the Degree of the nodes, their Triangle Count, or their Local Clustering Score, are preserved in the embeddings of graph…

Machine Learning · Computer Science 2021-10-11 Maroun Haddad , Mohamed Bouguessa

Topology optimization can generate high-performance structures, but designers often need to revise the resulting topology in ways that reflect fabrication preferences, structural intuition, or downstream design constraints. In particular,…

Graphics · Computer Science 2026-03-31 Hongrui Chen , Dat Quoc Ha , Josephine V. Carstensen , Faez Ahmed

Deep learning models have demonstrated remarkable success in multi-organ segmentation but typically require large-scale datasets with all organs of interest annotated. However, medical image datasets are often low in sample size and only…

Computer Vision and Pattern Recognition · Computer Science 2023-11-03 Han Liu , Zhoubing Xu , Riqiang Gao , Hao Li , Jianing Wang , Guillaume Chabin , Ipek Oguz , Sasa Grbic

High-quality pixel-level annotations are essential for the semantic segmentation of remote sensing imagery. However, such labels are expensive to obtain and often affected by noise due to the labor-intensive and time-consuming nature of…

Deep learning models achieve state-of-the-art performance across domains but face scalability challenges in real-time or resource-constrained scenarios. To address this, we propose Loss Trajectory Correlation (LTC), a novel metric for…

Machine Learning · Computer Science 2025-03-14 Manish Nagaraj , Deepak Ravikumar , Efstathia Soufleri , Kaushik Roy

Vascular segmentation in medical imaging plays a crucial role in analysing morphological and functional assessments. Traditional methods, like the centerline Dice (clDice) loss, ensure topology preservation but falter in capturing geometric…

Image and Video Processing · Electrical Eng. & Systems 2024-07-02 Pengcheng Shi , Jiesi Hu , Yanwu Yang , Zilve Gao , Wei Liu , Ting Ma

Deep metric learning (DML) aims to learn a discriminative high-dimensional embedding space for downstream tasks like classification, clustering, and retrieval. Prior literature predominantly focuses on pair-based and proxy-based methods to…

Computer Vision and Pattern Recognition · Computer Science 2024-07-04 Xiruo Jiang , Yazhou Yao , Xili Dai , Fumin Shen , Xian-Sheng Hua , Heng-Tao Shen

We present a novel discrete optimization-based approach to generate downsampled versions of binary images that are guaranteed to have the same topology as the original, measured by the zeroth and first Betti numbers of the black regions,…

Computer Vision and Pattern Recognition · Computer Science 2024-07-26 Chia-Chia Chen , Chi-Han Peng

Data quality is crucial for the successful training, generalization and performance of machine learning models. We propose to measure the quality of a subset concerning the dataset it represents, using topological data analysis techniques.…

Algebraic Topology · Mathematics 2024-10-01 Álvaro Torras-Casas , Eduardo Paluzo-Hidalgo , Rocio Gonzalez-Diaz

In real-world applications, perfect labels are rarely available, making it challenging to develop robust machine learning algorithms that can handle noisy labels. Recent methods have focused on filtering noise based on the discrepancy…

Machine Learning · Computer Science 2023-08-01 Mingcai Chen , Yuntao Du , Wei Tang , Baoming Zhang , Hao Cheng , Shuwei Qian , Chongjun Wang

Samples in large-scale datasets may be mislabeled due to various reasons, and Deep Neural Networks can easily over-fit to the noisy label data. To tackle this problem, the key point is to alleviate the harm of these noisy labels. Many…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Xuefeng Liang , Longshan Yao , Xingyu Liu , Ying Zhou

Standard deep learning models for image segmentation cannot guarantee topology accuracy, failing to preserve the correct number of connected components or structures. This, in turn, affects the quality of the segmentations and compromises…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Juan Miguel Valverde , Dim P. Papadopoulos , Rasmus Larsen , Anders Bjorholm Dahl

Inferring the depth of transparent or mirror (ToM) surfaces represents a hard challenge for either sensors, algorithms, or deep networks. We propose a simple pipeline for learning to estimate depth properly for such surfaces with neural…

Computer Vision and Pattern Recognition · Computer Science 2023-07-28 Alex Costanzino , Pierluigi Zama Ramirez , Matteo Poggi , Fabio Tosi , Stefano Mattoccia , Luigi Di Stefano

Clustering algorithms became an essential part of the neurophysiological data analysis toolbox in the last twenty five years. Many problems, from the definition of cell types/groups based on morphological, molecular and physiological data…

Applications · Statistics 2025-09-23 Louise Martineau , Christophe Pouzat , Ségolen Geffray

Topological methods, including persistent homology, are powerful tools for analysis of high-dimensional data sets but these methods rely almost exclusively on thresholding techniques. In noisy data sets, thresholding does not always allow…

Computational Geometry · Computer Science 2016-09-08 Jennifer Kloke , Gunnar Carlsson

Panoptic image segmentation is the computer vision task of finding groups of pixels in an image and assigning semantic classes and object instance identifiers to them. Research in image segmentation has become increasingly popular due to…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Jieru Mei , Alex Zihao Zhu , Xinchen Yan , Hang Yan , Siyuan Qiao , Yukun Zhu , Liang-Chieh Chen , Henrik Kretzschmar , Dragomir Anguelov

The segmentation module which precisely outlines the nodules is a crucial step in a computer-aided diagnosis(CAD) system. The most challenging part of such a module is how to achieve high accuracy of the segmentation, especially for the…

Image and Video Processing · Electrical Eng. & Systems 2022-02-09 Xinliang Fu , Jiayin Zheng , Juanyun Mai , Yanbo Shao , Minghao Wang , Linyu Li , Zhaoqi Diao , Yulong Chen , Jianyu Xiao , Jian You , Airu Yin , Yang Yang , Xiangcheng Qiu , Jinsheng Tao , Bo Wang , Hua Ji

Local geometrical features of a porous material such as the shape and size of a pore or the curvature of a solid ligament often affect the macroscopic properties of the material, and their characterization is necessary to fully understand…

Materials Science · Physics 2025-02-24 Aditya Vasudevan , Jorge Zorrilla Prieto , Sergei Zorkaltsev , Maciej Haranczyk
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