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Deep topological data analysis (TDA) offers a principled framework for capturing structural invariants such as connectivity and cycles that persist across scales, making it a natural fit for anomaly segmentation (AS). Unlike thresholdbased…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Ali Zia , Usman Ali , Umer Ramzan , Abdul Rehman , Abdelwahed Khamis , Wei Xiang

Recently, growing health awareness, novel methods allow individuals to monitor sleep at home. Utilizing sleep sounds offers advantages over conventional methods like smartwatches, being non-intrusive, and capable of detecting various…

Machine Learning · Computer Science 2024-10-18 Shintaro Tamai , Masayuki Numao , Ken-ichi Fukui

Topological data analysis (TDA) provides a growing body of tools for computing geometric and topological information about spaces from a finite sample of points. We present a new adaptive algorithm for finding provably dense samples of…

Algebraic Topology · Mathematics 2018-10-22 Emilie Dufresne , Parker B. Edwards , Heather A. Harrington , Jonathan D. Hauenstein

Sleep spindles are neurophysiological phenomena that appear to be linked to memory formation and other functions of the central nervous system, and that can be observed in electroencephalographic recordings (EEG) during sleep. Manually…

Signal Processing · Electrical Eng. & Systems 2022-05-12 Lars Kaulen , Justus T. C. Schwabedal , Jules Schneider , Philipp Ritter , Stephan Bialonski

Topological Data Analysis (TDA) has been praised by researchers for its ability to capture intricate shapes and structures within data. TDA is considered robust in handling noisy and high-dimensional datasets, and its interpretability is…

Machine Learning · Computer Science 2024-01-10 Funmilola Mary Taiwo , Umar Islambekov , Cuneyt Gurcan Akcora

Purpose: In sleep medicine, assessing the evolution of a subject's sleep often involves the costly manual scoring of electroencephalographic (EEG) signals. In recent years, a number of Deep Learning approaches have been proposed to automate…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Mathieu Seraphim , Alexis Lechervy , Florian Yger , Luc Brun , Olivier Etard

We propose TopoFlow (Topography-aware pollutant Flow learning), a physics-guided neural network for efficient, high-resolution air quality prediction. To explicitly embed physical processes into the learning framework, we identify two…

Machine Learning · Computer Science 2026-04-13 Ammar Kheder , Helmi Toropainen , Wenqing Peng , Samuel Antão , Jia Chen , Michael Boy , Zhi-Song Liu

Topological Data Analysis (TDA) can broadly be described as a collection of data analysis methods that find structure in data. This includes: clustering, manifold estimation, nonlinear dimension reduction, mode estimation, ridge estimation…

Methodology · Statistics 2016-09-28 Larry Wasserman

To enhance the robustness of the Light Gradient Boosting Machine (LightGBM) algorithm for image classification, a topological data analysis (TDA)-based robustness optimization algorithm for LightGBM, TDA-LightGBM, is proposed to address the…

Machine Learning · Computer Science 2024-06-21 Han Yang , Guangjun Qin , Ziyuan Liu , Yongqing Hu , Qinglong Dai

Topological data analysis (TDA) is an area of data science that focuses on using invariants from algebraic topology to provide multiscale shape descriptors for geometric data sets such as point clouds. One of the most important such…

Computational Geometry · Computer Science 2023-06-21 David Loiseaux , Mathieu Carrière , Andrew J. Blumberg

Anomaly detection in multivariate signals is a task of paramount importance in many disciplines (epidemiology, finance, cognitive sciences and neurosciences, oncology, etc.). In this perspective, Topological Data Analysis (TDA) offers a…

Signal Processing · Electrical Eng. & Systems 2024-04-25 Stéphane Chrétien , Ben Gao , Astrid Thebault-Guiochon , Rémi Vaucher

A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments, correlation functions) and signal processing (e.g.,…

Algebraic Topology · Mathematics 2020-11-11 Alexander D. Smith , Pawel Dlotko , Victor M. Zavala

Autism Spectrum Disorder (ASD) is a prevalent neurological disorder. However, the multi-faceted symptoms and large individual differences among ASD patients are hindering the diagnosis process, which largely relies on subject descriptions…

Neurons and Cognition · Quantitative Biology 2024-11-11 Yuzhe Chen , Dayu Qin , Ercan Engin Kuruoglu

Objective: Triaxial accelerometers (TAAs) are widely used in homecare medicine. This study investigates whether TAA signals recorded at the fingertip encode respiratory information, particularly instantaneous respiratory rate (IRR) and…

Medical Physics · Physics 2026-04-28 Jeanne Lin , Lily Liu , Hau-Tieng Wu

Sleep scoring is a necessary and time-consuming task in sleep studies. In animal models (such as mice) or in humans, automating this tedious process promises to facilitate long-term studies and to promote sleep biology as a data-driven…

Quantitative Methods · Quantitative Biology 2018-09-25 Justus T. C. Schwabedal , Daniel Sippel , Moritz D. Brandt , Stephan Bialonski

Sleep stage classification constitutes an important preliminary exam in the diagnosis of sleep disorders. It is traditionally performed by a sleep expert who assigns to each 30s of signal a sleep stage, based on the visual inspection of…

Machine Learning · Statistics 2017-11-28 Stanislas Chambon , Mathieu Galtier , Pierrick Arnal , Gilles Wainrib , Alexandre Gramfort

While the strength of Topological Data Analysis has been explored in many studies on high dimensional numeric data, it is still a challenging task to apply it to text. As the primary goal in topological data analysis is to define and…

Machine Learning · Computer Science 2020-03-31 Shafie Gholizadeh , Ketki Savle , Armin Seyeditabari , Wlodek Zadrozny

Spatial transcriptomics studies are becoming increasingly large and commonplace, necessitating simultaneous analysis of a large number of spatially resolved variables. Correspondingly, a diverse range of methodologies have been proposed to…

Quantitative Methods · Quantitative Biology 2025-09-09 James Boyle , Gregory Hamm , Eleanor Williams , Robin JG Hartman , Magnus Soderburg , Ian Henry , Michael Casey

The aim of this paper is to describe a novel non-parametric noise reduction technique from the point of view of Bayesian inference that may automatically improve the signal-to-noise ratio of one- and two-dimensional data, such as e.g.…

Instrumentation and Methods for Astrophysics · Physics 2023-07-07 Pablo M Sanchez-Alarcon , Yago Ascasibar Sequeiros

Accurate classification of sleep stages based on bio-signals is fundamental not only for automatic sleep stage annotation, but also for clinical health management and continuous sleep monitoring. Traditionally, this task relies on…

Machine Learning · Computer Science 2025-09-09 Jingyu Li , Tiehua Zhang , Jinze Wang , Yi Zhang , Yuhuan Li , Yifan Zhao , Zhishu Shen , Libing Wu , Jiannan Liu