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The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

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

We introduce a novel geometry-oriented methodology, based on the emerging tools of topological data analysis, into the change point detection framework. The key rationale is that change points are likely to be associated with changes in…

Machine Learning · Statistics 2019-10-30 Umar Islambekov , Monisha Yuvaraj , Yulia R. Gel

Topological Data Analysis (TDA) is an approach to handle with big data by studying its shape. A main tool of TDA is the persistence diagram, and one can use it to compare data sets. One approach to learn on the similarity between two…

Applications · Statistics 2020-03-04 Sarit Agami

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

Topological data analysis (TDA) is a relatively new field that is gaining rapid adoption due to its robustness and ability to effectively describe complex datasets by quantifying geometric information. In imaging contexts, TDA typically…

Computer Vision and Pattern Recognition · Computer Science 2025-07-15 Aaryam Sharma

Change point detection aims to identify abrupt shifts occurring at multiple points within a data sequence. This task becomes particularly challenging in the online setting, where different types of changes can occur, including shifts in…

Machine Learning · Computer Science 2024-10-29 Chengyuan Deng , Zhengzhang Chen , Xujiang Zhao , Haoyu Wang , Junxiang Wang , Haifeng Chen , Jie Gao

Topological data analysis (TDA), as a relatively recent approach, has demonstrated great potential in capturing the intrinsic and robust structural features of complex data. While persistent homology, as a core tool of TDA, focuses on…

Combinatorics · Mathematics 2025-11-11 Jing-Wen Gao , Yunan He , Jian Liu

The development of machine learning models based on computed tomography (CT) imaging has been a major focus due to the promise that imaging holds for diagnosis, staging, and prognostication. These models often rely on the extraction of…

Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

Machine Learning · Statistics 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

In a world abundant with diverse data arising from complex acquisition techniques, there is a growing need for new data analysis methods. In this paper we focus on high-dimensional data that are organized into several hierarchical datasets.…

Machine Learning · Computer Science 2021-04-06 Lior Aloni , Omer Bobrowski , Ronen Talmon

The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical change-point detection algorithm based on non-parametric divergence estimation…

Machine Learning · Statistics 2015-03-20 Song Liu , Makoto Yamada , Nigel Collier , Masashi Sugiyama

This paper presents LAPA (Look Around and Pay Attention), a novel end-to-end transformer-based architecture for multi-camera point tracking that integrates appearance-based matching with geometric constraints. Traditional pipelines decouple…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Bishoy Galoaa , Xiangyu Bai , Shayda Moezzi , Utsav Nandi , Sai Siddhartha Vivek Dhir Rangoju , Somaieh Amraee , Sarah Ostadabbas

Topological data analysis (TDA) is a tool from data science and mathematics that is beginning to make waves in environmental science. In this work, we seek to provide an intuitive and understandable introduction to a tool from TDA that is…

Machine Learning · Computer Science 2025-07-15 Lander Ver Hoef , Henry Adams , Emily J. King , Imme Ebert-Uphoff

High-dimensional reduction methods are powerful tools for describing the main patterns in big data. One of these methods is the topological data analysis (TDA), which modeling the shape of the data in terms of topological properties. This…

Methodology · Statistics 2022-05-24 Sarit Agami

One of the most important problems arising in time series analysis is that of bifurcation, or change point detection. That is, given a collection of time series over a varying parameter, when has the structure of the underlying dynamical…

Machine Learning · Statistics 2023-03-15 Audun Myers , Firas A. Khasawneh , Elizabeth Munch

In panel data we observe a usually high number N of individuals over a time period T. Even if T is large one often assumes stability of the model over time. We propose a nonparametric and robust test for a change in location and derive its…

Statistics Theory · Mathematics 2017-03-22 Alexander Dürre , Roland Fried

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

Statistics Theory · Mathematics 2023-06-05 Haoyun Wang , Yao Xie

Persistent Homology is a powerful tool in Topological Data Analysis (TDA) to capture topological properties of data succinctly at different spatial resolutions. For graphical data, shape, and structure of the neighborhood of individual data…

Social and Information Networks · Computer Science 2018-11-12 Sumit Bhatia , Bapi Chatterjee , Deepak Nathani , Manohar Kaul

High-definition 3D city maps enable city planning and change detection, which is essential for municipal compliance, map maintenance, and asset monitoring, including both built structures and urban greenery. Conventional Digital Surface…

Computer Vision and Pattern Recognition · Computer Science 2026-02-11 Hezam Albagami , Haitian Wang , Xinyu Wang , Muhammad Ibrahim , Zainy M. Malakan , Abdullah M. Alqamdi , Mohammed H. Alghamdi , Ajmal Mian