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Topological data analysis (TDA) offers novel mathematical tools for deep learning. Inspired by Carlsson et al., this study designs topology-aware convolutional kernels that significantly improve speech recognition networks. Theoretically,…

Machine Learning · Computer Science 2025-05-28 Zhiwang Yu

Developing reliable methods to discriminate different transient brain states that change over time is a key neuroscientific challenge in brain imaging studies. Topological data analysis (TDA), a novel framework based on algebraic topology,…

Neurons and Cognition · Quantitative Biology 2023-12-19 Moo K. Chung , Soumya Das , Hernando Ombao

In this paper, two modern adaptive signal processing techniques, Empirical Intrinsic Geometry and Synchrosqueezing transform, are applied to quantify different dynamical features of the respiratory and electroencephalographic signals. We…

Medical Physics · Physics 2014-10-07 Hau-tieng Wu , Ronen Talmon , Yu-Lun Lo

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

Topological data analysis (TDA) has become a powerful approach over the last twenty years, mainly due to its ability to capture the shape and the geometry inherent in the data. Persistence homology, which is a particular tool in TDA, has…

Neurons and Cognition · Quantitative Biology 2024-01-12 Anass B. El-Yaagoubi , Shuhao Jiao , Moo K. Chung , Hernando Ombao

At present, the vast majority of human subjects with neurological disease are still diagnosed through in-person assessments and qualitative analysis of patient data. In this paper, we propose to use Topological Data Analysis (TDA) together…

Machine Learning · Computer Science 2020-05-07 Afra Nawar , Farhan Rahman , Narayanan Krishnamurthi , Anirudh Som , Pavan Turaga

Topological Data Analysis (TDA) is increasingly crucial in investigating the shape of complex data structures across scientific fields, particularly in neuroscience and finance. This study delves into persistent homology, a TDA component…

Physics and Society · Physics 2024-09-17 Roel Gisolf , Fernando A. N. Santos , Felix Wierstra

Epileptic seizure detection from EEG signals remains challenging due to the high dimensionality and nonlinear, potentially stochastic, dynamics of neural activity. In this work, we investigate whether features derived from topological data…

Machine Learning · Computer Science 2026-04-15 Sunia Tanweer , Narayan Puthanmadam Subramaniyam , Firas A. Khasawneh

Understanding the sleep quality and architecture is essential to human being's health, which is usually represented using multiple sleep stages. A standard sleep stage determination requires Electroencephalography (EEG) signals during the…

Signal Processing · Electrical Eng. & Systems 2019-09-26 Yuezhou Zhang , Zhicheng Yang , Ke Lan , Xiaoli Liu , Zhengbo Zhang , Peiyao Li , Desen Cao , Jiewen Zheng , Jianli Pan

Automated sleep stage classification typically employs a single population-agnostic model, disregarding established demographic variations in sleep architecture. Sleep patterns, however, differ substantially across gender, age, and…

Machine Learning · Computer Science 2026-05-05 S M Asif Hossain , Shruti Kshirsagar

Over the last few years, research in automatic sleep scoring has mainly focused on developing increasingly complex deep learning architectures. However, recently these approaches achieved only marginal improvements, often at the expense of…

Understanding how individuals navigate mental health challenges over time is critical yet methodologically challenging. Traditional approaches analyze community-level snapshots, failing to capture dynamic individual recovery trajectories.…

Human-Computer Interaction · Computer Science 2026-03-02 Joydeep Chandra , Satyam Kumar Navneet , Yong Zhang

Conventional sleep monitoring is time-consuming, expensive and uncomfortable, requiring a large number of contact sensors to be attached to the patient. Video data is commonly recorded as part of a sleep laboratory assessment. If accurate…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Jonathan Carter , João Jorge , Bindia Venugopal , Oliver Gibson , Lionel Tarassenko

This paper proposes a practical approach for automatic sleep stage classification based on a multi-level feature learning framework and Recurrent Neural Network (RNN) classifier using heart rate and wrist actigraphy derived from a wearable…

Machine Learning · Statistics 2017-11-03 Xin Zhang , Weixuan Kou , Eric I-Chao Chang , He Gao , Yubo Fan , Yan Xu

Pediatric obstructive sleep apnea affects an estimated 1-5% of elementary-school aged children and can lead to other detrimental health problems. Swift diagnosis and treatment are critical to a child's growth and development, but the…

Quantitative Methods · Quantitative Biology 2021-08-10 Emily T. Winn , Marilyn Vazquez , Prachi Loliencar , Kaisa Taipale , Xu Wang , Giseon Heo

Objective: Automatic sleep scoring is crucial for diagnosing sleep disorders. Existing frameworks based on Polysomnography often rely on long sequences of input signals to predict sleep stages, which can introduce complexity. Moreover,…

Signal Processing · Electrical Eng. & Systems 2025-12-08 Muhammad Sudipto Siam Dip , Mohammod Abdul Motin , Chandan Karmakar , Thomas Penzel , Marimuthu Palaniswami

Over the last two decades, topological data analysis (TDA) has emerged as a very powerful data analytic approach which can deal with various data modalities of varying complexities. One of the most commonly used tools in TDA is persistent…

Methodology · Statistics 2025-12-08 Anass El Yaagoubi Bourakna , Moo K. Chung , Hernando Ombao

Accurate classification of sleep stages from less obtrusive sensor measurements such as the electrocardiogram (ECG) or photoplethysmogram (PPG) could enable important applications in sleep medicine. Existing approaches to this problem have…

Machine Learning · Computer Science 2024-11-08 Jonathan F. Carter , Lionel Tarassenko

Emotional recognition through exploring the electroencephalography (EEG) characteristics has been widely performed in recent studies. Nonlinear analysis and feature extraction methods for understanding the complex dynamical phenomena are…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Yan Yan , Xuankun Wu , Chengdong Li , Yini He , Zhicheng Zhang , Huihui Li , Ang Li , Lei Wang

Accurate classification of sleep stages is crucial for the diagnosis and management of sleep disorders. Conventional approaches for sleep scoring rely on manual annotation or features extracted from EEG signals in the time or frequency…

Machine Learning · Computer Science 2025-10-10 Mehdi Zekriyapanah Gashti , Ghasem Farjamnia