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Topological Data Analysis (TDA) provides tools to describe the shape of data, but integrating topological features into deep learning pipelines remains challenging, especially when preserving local geometric structure rather than…

Machine Learning · Computer Science 2026-04-21 Elena Xinyi Wang , Arnur Nigmetov , Dmitriy Morozov

Detecting anomalies in datasets is a longstanding problem in machine learning. In this context, anomalies are defined as a sample that significantly deviates from the remaining data. Meanwhile, optimal transport (OT) is a field of…

Machine Learning · Statistics 2025-07-09 Eduardo Fernandes Montesuma , Adel El Habazi , Fred Ngole Mboula

Data streams in real-world industrial scenarios often contain transitional operating conditions that are uncovered during offline training, leading to significant distribution shifts. To bridge the gap between static offline models and…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Hongshuo Zhao , Zeyi Liu , Xiao He

In this paper, we propose a new strategy for learning inertial robotic navigation models. The proposed strategy enhances the generalisability of end-to-end inertial modelling, and is aimed at wheeled robotic deployments. Concretely, the…

Machine Learning · Computer Science 2021-09-21 Mohammed Alloulah , Maximilian Arnold , Anton Isopoussu

The power and flexibility of Optimal Transport (OT) have pervaded a wide spectrum of problems, including recent Machine Learning challenges such as unsupervised domain adaptation. Its essence of quantitatively relating two probability…

Image and Video Processing · Electrical Eng. & Systems 2023-04-18 Bo Jiang , Hamid Krim , Tianfu Wu , Derya Cansever

Machine learning models for repeated measurements are limited. Using topological data analysis (TDA), we present a classifier for repeated measurements which samples from the data space and builds a network graph based on the data topology.…

Machine Learning · Computer Science 2019-04-08 Henri Riihimäki , Wojciech Chachólski , Jakob Theorell , Jan Hillert , Ryan Ramanujam

Unsupervised tabular anomaly detection methods typically learn feature patterns from normal samples during training and subsequently identify samples that deviate from these patterns as anomalies during testing. However, in practical…

Machine Learning · Computer Science 2026-05-12 Wei Huang , Hezhe Qiao , Kailai Zhang , Zaisheng Ye , Yu-Ming Shang , Xiangling Fu

Topological Data Analysis (TDA) is a modern approach to Data Analysis focusing on the topological features of data; it has been widely studied in recent years and used extensively in Biology, Physics, and many other areas. However,…

Mathematical Finance · Quantitative Finance 2023-07-11 Miguel A. Ruiz-Ortiz , José Carlos Gómez-Larrañaga , Jesús Rodríguez-Viorato

Test-time adaptation (TTA) is an effective approach to mitigate performance degradation of trained models when encountering input distribution shifts at test time. However, existing TTA methods often suffer significant performance drops…

Machine Learning · Computer Science 2025-02-06 Minguk Jang , Hye Won Chung

Test-time adaptation is a promising research direction that allows the source model to adapt itself to changes in data distribution without any supervision. Yet, current methods are usually evaluated on benchmarks that are only a…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Damian Sójka , Sebastian Cygert , Bartłomiej Twardowski , Tomasz Trzciński

Adapting a trained model to perform satisfactorily on continually changing testing domains/environments is an important and challenging task. In this work, we propose a novel framework, SATA, which aims to satisfy the following…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Goirik Chakrabarty , Manogna Sreenivas , Soma Biswas

Effective anomaly detection in time series is pivotal for modern industrial applications and financial systems. Due to the scarcity of anomaly labels and the high cost of manual labeling, reconstruction-based unsupervised approaches have…

Machine Learning · Computer Science 2025-09-25 Tiejun Wang , Rui Wang , Xudong Mou , Mengyuan Ma , Tianyu Wo , Renyu Yang , Xudong Liu

Test time adaptation (TTA) aims to adapt deep neural networks when receiving out of distribution test domain samples. In this setting, the model can only access online unlabeled test samples and pre-trained models on the training domains.…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Shuai Wang , Daoan Zhang , Zipei Yan , Jianguo Zhang , Rui Li

In time series anomaly detection (TSAD), the scarcity of labeled data poses a challenge to the development of accurate models. Unsupervised domain adaptation (UDA) offers a solution by leveraging labeled data from a related domain to detect…

Machine Learning · Computer Science 2025-09-09 Zahra Zamanzadeh Darban , Yiyuan Yang , Geoffrey I. Webb , Charu C. Aggarwal , Qingsong Wen , Shirui Pan , Mahsa Salehi

Large time series models (LTMs) have emerged as powerful tools for universal forecasting, yet they often struggle with the inherent diversity and nonstationarity of real-world time series data, leading to an unsatisfactory trade-off between…

Machine Learning · Computer Science 2026-03-03 Yunzhong Qiu , Zhiyao Cen , Zhongyi Pei , Chen Wang , Jianmin Wang

Unsupervised domain adaptation is one of the challenging problems in computer vision. This paper presents a novel approach to unsupervised domain adaptations based on the optimal transport-based distance. Our approach allows aligning target…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Thanh-Dat Truong , Naga Venkata Sai Raviteja Chappa , Xuan Bac Nguyen , Ngan Le , Ashley Dowling , Khoa Luu

The optimal transport (OT) map offers the most economical way to transfer one probability measure distribution to another. Classical OT theory does not involve a discussion of preserving topological connections and orientations in…

General Topology · Mathematics 2025-07-03 Yuping Lv , Qi Zhao , Xuebin Chang , Wei Zeng

Transformers achieve strong performance across diverse domains but implicitly assume Euclidean geometry in their attention mechanisms, limiting their effectiveness on data with non-Euclidean structure. While recent extensions to hyperbolic…

Machine Learning · Computer Science 2025-10-03 Ryan Y. Lin , Siddhartha Ojha , Nicholas Bai

Roadway reconfiguration is a crucial aspect of transportation planning, aiming to enhance traffic flow, reduce congestion, and improve overall road network performance with existing infrastructure and resources. This paper presents a novel…

Social and Information Networks · Computer Science 2024-01-17 H M Imran Kays , Khondhaker Al Momin , K. K. "Muralee" Muraleetharan , Arif Mohaimin Sadri

We introduce a very general approach to the analysis of signals from their noisy measurements from the perspective of Topological Data Analysis (TDA). While TDA has emerged as a powerful analytical tool for data with pronounced topological…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Juan Manuel Miramont , Kin Aun Tan , Soumendu Sundar Mukherjee , Rémi Bardenet , Subhroshekhar Ghosh