ArticleFrontiers in physiology2021
A Persistent Homology Approach to Heart Rate Variability Analysis With an Application to Sleep-Wake Classification.
Article in Frontiers in physiology, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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Who cites it
15 citing papers in PubMed.
- Topology-enhanced machine learning for speech signal processing.Nature communications · 2026Article
- The Geometry of Circulatory Shock: A Conceptual Multi-Scale Lagrangian Framework for Physiology-Informed Hemodynamic Phenotyping.Journal of clinical medicine · 2026Review
- Radar Multiple Bin Selection for Breathing and Heart Rate Monitoring in Acute Stroke Patients in a Clinical Setting.Sensors (Basel, Switzerland) · 2025Article
- Topological Data Analysis in the Assessment of Coronary Atherosclerosis: A Comprehensive Narrative Review.Mayo Clinic proceedings. Digital health · 2025Review
- Feasibility of Radar Vital Sign Monitoring Using Multiple Range Bin Selection.Sensors (Basel, Switzerland) · 2025Article
- Age-dependent patterns of cardiac complexity unveiled by topological data analysis of pediatric heart rate variability.PloS one · 2025Article
- Vision toolkit part 2. features and metrics for assessing oculomotor signal: a review.Frontiers in physiology · 2025Review
- A novel multi-task machine learning classifier for rare disease patterning using cardiac strain imaging data.Scientific reports · 2024Article
- Persistent homology reveals robustness loss in inhaled substance abuse rs-fMRI networks.PloS one · 2024Article
- Assessing nocturnal scratch with actigraphy in atopic dermatitis patients.NPJ digital medicine · 2023Article
- Dynamic ECG signal quality evaluation based on persistent homology and GoogLeNet method.Frontiers in neuroscience · 2023Article
- Algebraic topology-based machine learning using MRI predicts outcomes in primary sclerosing cholangitis.European radiology experimental · 2022Article
- Topological data analysis in biomedicine: A review.Journal of biomedical informatics · 2022Review
- Bayesian statistical method for detecting structural and topological diversity in polymorphic proteins.Computational and structural biotechnology journal · 2022Article
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4 authors.
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Abstract
Persistent homology is a recently developed theory in the field of algebraic topology to study shapes of datasets. It is an effective data analysis tool that is robust to noise and has been widely applied. We demonstrate a general pipeline to apply persistent homology to study time series, particularly the instantaneous heart rate time series for the heart rate variability (HRV) analysis. The first step is capturing the shapes of time series from two different aspects-the persistent homologies and hence persistence diagrams of its sub-level set and Taken's lag map. Second, we propose a systematic and computationally efficient approach to summarize persistence diagrams, which we coined
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