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Topological data analysis is an emerging area in exploratory data analysis and data mining. Its main tool, persistent homology, has become a popular technique to study the structure of complex, high-dimensional data. In this paper, we…

Graphics · Computer Science 2017-10-04 Mustafa Hajij , Bei Wang , Carlos Scheidegger , Paul Rosen

Acoustic signals are crucial for health monitoring, particularly heart sounds which provide essential data like heart rate and detect cardiac anomalies such as murmurs. This study utilizes a publicly available phonocardiogram (PCG) dataset…

Sound · Computer Science 2024-07-29 Jingping Nie , Ran Liu , Behrooz Mahasseni , Erdrin Azemi , Vikramjit Mitra

Persistent homology (PH) characterizes the shape of brain networks through the persistence features. Group comparison of persistence features from brain networks can be challenging as they are inherently heterogeneous. A recent scale-space…

Methodology · Statistics 2023-11-06 Yuan Wang , Jian Yin , Rutvik H. Desai

The electrocardiogram or ECG has been in use for over 100 years and remains the most widely performed diagnostic test to characterize cardiac structure and electrical activity. We hypothesized that parallel advances in computing power,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Geoffrey H. Tison , Jeffrey Zhang , Francesca N. Delling , Rahul C. Deo

New representations of tree-structured data objects, using ideas from topological data analysis, enable improved statistical analyses of a population of brain artery trees. A number of representations of each data tree arise from…

Applications · Statistics 2014-11-26 Paul Bendich , J. S. Marron , Ezra Miller , Alex Pieloch , Sean Skwerer

Time-delay embedding is a fundamental technique in Topological Data Analysis (TDA) for reconstructing the phase space dynamics of time-series data. Persistent homology effectively identifies global topological features, such as loops…

Statistics Theory · Mathematics 2026-04-21 Donghyun Park , Junhyun An , Taehyoung Kim , Jisu Kim

Cardiovascular diseases are a pervasive global health concern, contributing significantly to morbidity and mortality rates worldwide. Among these conditions, arrhythmia, characterized by irregular heart rhythms, presents formidable…

Signal Processing · Electrical Eng. & Systems 2024-04-25 Bhavith Chandra Challagundla

Topological features based on persistent homology capture high-order structural information so as to augment graph neural network methods. However, computing extended persistent homology summaries remains slow for large and dense graphs and…

Machine Learning · Computer Science 2022-11-16 Zuoyu Yan , Tengfei Ma , Liangcai Gao , Zhi Tang , Yusu Wang , Chao Chen

In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for addressing the comparison between discrete piecewise linear functions. The comparison is certified by the stability theorem…

Accurate diagnosis is required before performing proper treatments for coronary heart disease. Machine learning based approaches have been proposed by many researchers to improve the accuracy of coronary heart disease diagnosis. Ensemble…

Machine Learning · Computer Science 2020-07-07 Kuntoro Adi Nugroho , Noor Akhmad Setiawan , Teguh Bharata Adji

In primary diagnosis and analysis of heart defects, an ECG signal plays a significant role. This paper presents a model for the prediction of ventricular tachycardia arrhythmia using noise filtering, a unique set of ECG features, and a…

Signal Processing · Electrical Eng. & Systems 2021-12-28 Pampa Howladar , Manodipan Sahoo

An Important tool in the field topological data analysis is known as persistent Homology (PH) which is used to encode abstract representation of the homology of data at different resolutions in the form of persistence diagram (PD). In this…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Aras Asaad , Dashti Ali , Taban Majeed , Rasber Rashid

Cardiovascular diseases stand as the primary global cause of mortality. Among the various imaging techniques available for visualising the heart and evaluating its function, echocardiograms emerge as the preferred choice due to their safety…

Image and Video Processing · Electrical Eng. & Systems 2023-11-22 Adil Dahlan , Cyril Zakka , Abhinav Kumar , Laura Tang , Rohan Shad , Robyn Fong , William Hiesinger

Objective: A novel ECG classification algorithm is proposed for continuous cardiac monitoring on wearable devices with limited processing capacity. Methods: The proposed solution employs a novel architecture consisting of wavelet transform…

Signal Processing · Electrical Eng. & Systems 2020-01-22 Saeed Saadatnejad , Mohammadhosein Oveisi , Matin Hashemi

Cardiovascular diseases (CVDs) remain the leading cause of mortality worldwide, highlighting the critical need for efficient and accurate diagnostic tools. Electrocardiograms (ECGs) are indispensable in diagnosing various heart conditions;…

Signal Processing · Electrical Eng. & Systems 2025-04-24 Lei Kang , Xuanshuo Fu , Javier Vazquez-Corral , Ernest Valveny , Dimosthenis Karatzas

Persistent homology is a topological data analysis tool that has been widely generalized, extending its scope beyond the field of topology. Among its extensions, steady and ranging persistence were developed to study a wide variety of graph…

Algebraic Topology · Mathematics 2026-05-15 Yann-Situ Gazull

The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of data, the persistence barcode tracks the evolution of its homology groups. In this paper, we…

Computational Geometry · Computer Science 2025-10-14 Tao Hou , Salman Parsa , Bei Wang

Determining phenotypes of diseases can have considerable benefits for in-hospital patient care and to drug development. The structure of high dimensional data sets such as electronic health records are often represented through an embedding…

Portable, Wearable and Wireless electrocardiogram (ECG) Systems have the potential to be used as point-of-care for cardiovascular disease diagnostic systems. Such wearable and wireless ECG systems require automatic detection of…

Machine Learning · Statistics 2014-10-28 Getie Zewdie , Momiao Xiong

An essential part for the accurate classification of electrocardiogram (ECG) signals is the extraction of informative yet general features, which are able to discriminate diseases. Cardiovascular abnormalities manifest themselves in…

Signal Processing · Electrical Eng. & Systems 2024-07-11 Maximilian P Oppelt , Maximilian Riehl , Felix P Kemeth , Jan Steffan