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Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi

Tabular anomaly detection (TAD) remains challenging due to the heterogeneity of tabular data: features lack natural relationships, vary widely in distribution and scale, and exhibit diverse types. Consequently, each TAD method makes…

Machine Learning · Computer Science 2026-05-07 Hangting Ye , He Zhao , Wei Fan , Xiaozhuang Song , Dandan Guo , Yi Chang , Hongyuan Zha

Deep neural networks are known to be vulnerable to unseen data: they may wrongly assign high confidence stcores to out-distribuion samples. Recent works try to solve the problem using representation learning methods and specific metrics. In…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Haowei He , Jiaye Teng , Yang Yuan

Test-time adaptation (TTA) refers to adjusting the model during the testing phase to cope with changes in sample distribution and enhance the model's adaptability to new environments. In real-world scenarios, models often encounter samples…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Ziqiong Liu , Yushun Tang , Junyang Ji , Zhihai He

Recent advancements in dense out-of-distribution (OOD) detection have primarily focused on scenarios where the training and testing datasets share a similar domain, with the assumption that no domain shift exists between them. However, in…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Zhitong Gao , Shipeng Yan , Xuming He

We introduce a framework for analyzing topological tipping in time-evolutionary point clouds by extending the recently proposed Topological Optimal Transport (TpOT) distance. While TpOT unifies geometric, homological, and higher-order…

Machine Learning · Statistics 2026-03-18 Yixin Wang , Ting Gao , Jinqiao Duan

Partial domain adaptation (PDA) problem requires aligning cross-domain samples while distinguishing the outlier classes for accurate knowledge transfer. The widely used weighting framework tries to address the outlier classes by introducing…

Machine Learning · Computer Science 2025-06-11 Zi-Ying Chen , Chuan-Xian Ren , Hong Yan

Tubular structure segmentation (TSS) is important for various applications, such as hemodynamic analysis and route navigation. Despite significant progress in TSS, domain shifts remain a major challenge, leading to performance degradation…

Computer Vision and Pattern Recognition · Computer Science 2025-08-04 Jiale Zhou , Wenhan Wang , Shikun Li , Xiaolei Qu , Xin Guo , Yizhong Liu , Wenzhong Tang , Xun Lin , Yefeng Zheng

Topological data analysis (TDA) provides insight into data shape. The summaries obtained by these methods are principled global descriptions of multi-dimensional data whilst exhibiting stable properties such as robustness to deformation and…

Machine Learning · Computer Science 2024-03-18 Ali Zia , Abdelwahed Khamis , James Nichols , Zeeshan Hayder , Vivien Rolland , Lars Petersson

Visual domain adaptation aims to learn discriminative and domain-invariant representation for an unlabeled target domain by leveraging knowledge from a labeled source domain. Partial domain adaptation (PDA) is a general and practical…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Yi-Ming Zhai , Chuan-Xian Ren , Hong Yan

Topological Data Analysis (TDA) is a rising field of computational topology in which the topological structure of a data set can be observed by persistent homology. By considering a sequence of sublevel sets, one obtains a filtration that…

Methodology · Statistics 2020-03-17 Yu-Min Chung , William Cruse , Austin Lawson

Anomaly detection techniques enable effective anomaly detection and diagnosis in multi-variate time series data, which are of major significance for today's industrial applications. However, establishing an anomaly detection system that can…

Machine Learning · Computer Science 2024-05-02 Lingrui Yu

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

Chaotic Dynamics · Physics 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

Test-Time Adaptation (TTA) enables pre-trained models to adjust to distribution shift by learning from unlabeled test-time streams. However, existing methods typically treat these streams as independent samples, overlooking the supervisory…

Machine Learning · Computer Science 2026-01-30 Young Kyung Kim , Oded Schlesinger , Qiangqiang Wu , J. Matías Di Martino , Guillermo Sapiro

Graph Anomaly Detection (GAD) has demonstrated great effectiveness in identifying unusual patterns within graph-structured data. However, while labeled anomalies are often scarce in emerging applications, existing supervised GAD approaches…

Machine Learning · Computer Science 2025-10-21 Delaram Pirhayati , Arlei Silva

Deep learning has become the leading approach to assisted target recognition. While these methods typically require large amounts of labeled training data, domain adaptation (DA) or transfer learning (TL) enables these algorithms to…

Computer Vision and Pattern Recognition · Computer Science 2021-01-29 Deborah Weeks , Samuel Rivera

Fault detection is crucial in industrial systems to prevent failures and optimize performance by distinguishing abnormal from normal operating conditions. Data-driven methods have been gaining popularity for fault detection tasks as the…

Machine Learning · Computer Science 2024-06-12 Han Sun , Kevin Ammann , Stylianos Giannoulakis , Olga Fink

On-device adapting to continual, unpredictable domain shifts is essential for mobile applications like autonomous driving and augmented reality to deliver seamless user experiences in evolving environments. Test-time adaptation (TTA)…

Machine Learning · Computer Science 2024-10-14 Cheng Fang , Sicong Liu , Zimu Zhou , Bin Guo , Jiaqi Tang , Ke Ma , Zhiwen Yu

This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

Statistics Theory · Mathematics 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana
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