534 citations · 2k across the 96 of their papers we have counts for
14 papers · 1 filter
Spectral Convergence of Graph Laplacian and Heat Kernel Reconstruction in from Random Samples
David B Dunson, Hau-Tieng Wu, Nan Wu
In the manifold setting, we provide a series of spectral convergence results quantifying how the eigenvectors and eigenvalues of the graph Laplacian converge to the eigenfunctions…
On the spectral property of kernel-based sensor fusion algorithms of high dimensional data
Xiucai Ding, Hau-Tieng Wu
We apply local laws of random matrices and free probability theory to study the spectral properties of two kernel-based sensor fusion algorithms, nonparametric canonical correlatio…
Novel imaging revealing inner dynamics for cardiovascular waveform analysis via unsupervised manifold learning
Shen-Chih Wang, Hau-Tieng Wu, Po-Hsun Huang +3
Cardiovascular waveforms contain information for clinical diagnosis. By "learning" and organizing the subtle change of waveform morphology from large amounts of raw waveform data,…
A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification
Yu-Min Chung, Chuan-Shen Hu, Yu-Lun Lo +1
Persistent homology (PH) 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 nois…
Numerical computation of triangular complex spherical designs with small mesh ratio
Yu Guang Wang, Robert S. Womersley, Hau-Tieng Wu +1
This paper provides triangular spherical designs for the complex unit sphere by exploiting the natural correspondence between the complex unit sphere in dimensions and th…
Wave-shape oscillatory model for nonstationary periodic time series analysis
Yu-Ting Lin, John Malik, Hau-Tieng Wu
The oscillations observed in many time series, particularly in biomedicine, exhibit morphological variations over time. These morphological variations are caused by intrinsic or ex…
A Novel Feature Representation for Single-Channel Heartbeat Classification based on Adaptive Fourier Decomposition
Chunyu Tan, Liming Zhang, Hau-tieng Wu +1
This paper proposes a novel approach for heartbeat classification from single-lead electrocardiogram (ECG) signals based on the novel adaptive Fourier decomposition (AFD). AFD is a…
Explore intrinsic geometry of sleep dynamics and predict sleep stage by unsupervised learning techniques
Gi-Ren Liu, Yu-Lun Lo, Yuan-Chung Sheu +1
We propose a novel unsupervised approach for sleep dynamics exploration and automatic annotation by combining modern harmonic analysis tools. Specifically, we apply diffusion-based…
Transient-evoked otoacoustic emission signals predicting outcomes of acute sensorineural hearing loss in patients with Meniere's Disease
Yi-Wen Liu, Sheng-Lun Kao, Hau-Tieng Wu +3
Background: Fluctuating hearing loss is characteristic of Meniere's Disease (MD) during acute episodes. However, no reliable audiometric hallmarks are available for counselling the…
Asymptotic analysis of synchrosqueezing transform -- toward statistical inference with nonlinear-type time-frequency analysis
Matt Sourisseau, Hau-Tieng Wu, Zhou Zhou
We provide a statistical analysis of a tool in nonlinear-type time-frequency analysis, the synchrosqueezing transform (SST), for both the null and non-null cases. The intricate non…
Recovery of the fetal electrocardiogram for morphological analysis from two trans-abdominal channels via optimal shrinkage
Pei-Chun Su, Stephen Miller, Salim Idriss +2
We propose a novel algorithm to recover fetal electrocardiogram (ECG) for both the fetal heart rate analysis and morphological analysis of its waveform from two or three trans-abdo…
Optimal Recovery of Precision Matrix for Mahalanobis Distance from High Dimensional Noisy Observations in Manifold Learning
Matan Gavish, Ronen Talmon, Pei-Chun Su +1
Motivated by establishing theoretical foundations for various manifold learning algorithms, we study the problem of Mahalanobis distance (MD), and the associated precision matrix,…
Non-contact photoplethysmogram and instantaneous heart rate estimation from infrared face video
Natalia Martinez, Martin Bertran, Guillermo Sapiro +1
Extracting the instantaneous heart rate (iHR) from face videos has been well studied in recent years. It is well known that changes in skin color due to blood flow can be captured…
Differentiation of skin incision and laparoscopic trocar insertion via quantifying transient bradycardia measured by electrocardiogram
Cheng-Hsi Chang, Yue-Lin Fang, Yu-Jung Wang +2
Background. Most surgical procedures involve structures deeper than the skin. However, the difference in surgical noxious stimulation between skin incision and laparoscopic trocar…