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09/13/2023
Ridge detection for nonstationary multicomponent signals with time-varying wave-shape functions and its applications
We introduce a novel ridge detection algorithm for time-frequency (TF) a...
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09/08/2023
Enhancing Missing Data Imputation of Non-stationary Signals with Harmonic Decomposition
Dealing with time series with missing values, including those afflicted ...
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06/05/2023
Topological Data Analysis Assisted Automated Sleep Stage Scoring Using Airflow Signals
Objective: Breathing pattern variability (BPV), as a universal physiolog...
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03/22/2023
Convergence of Hessian estimator from random samples on a manifold
We provide a systematic convergence analysis of the Hessian operator est...
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08/17/2022
Geometric Scattering on Measure Spaces
The scattering transform is a multilayered, wavelet-based transform init...
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07/07/2022
Optimal shrinkage of singular values under high-dimensional noise with separable covariance structure
We consider an optimal shrinkage algorithm that depends on an effective ...
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06/21/2022
The Manifold Scattering Transform for High-Dimensional Point Cloud Data
The manifold scattering transform is a deep feature extractor for data d...
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03/20/2022
Application of de-shape synchrosqueezing to estimate gait cadence from a single-sensor accelerometer placed in different body locations
Objective: Commercial and research-grade wearable devices have become in...
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01/21/2022
Spatiotemporal Analysis Using Riemannian Composition of Diffusion Operators
Multivariate time-series have become abundant in recent years, as many d...
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01/06/2022
Predicting Trust Using Automated Assessment of Multivariate Interactional Synchrony
Diverse disciplines are interested in how the coordination of interactin...
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12/03/2021
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application
Analysis of signals with oscillatory modes with crossover instantaneous ...
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12/03/2021
Fundamental component enhancement via adaptive nonlinear activation functions
In many real world oscillatory signals, the fundamental component of a s...
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11/22/2021
How do kernel-based sensor fusion algorithms behave under high dimensional noise?
We study the behavior of two kernel based sensor fusion algorithms, nonp...
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09/21/2021
Discovery of temporal structure intricacy in arterial blood pressure waveforms representing acuity of liver transplant and forecasting short term surgical outcome via unsupervi
Background: Arterial blood pressure (ABP) waveform evolves across each c...
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11/21/2020
Central and Non-central Limit Theorems arising from the Scattering Transform and its Neural Activation Generalization
Motivated by analyzing complicated and non-stationary time series, we st...
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11/21/2020
Phase transition of graph Laplacian of high dimensional noisy random point cloud
We systematically explore the spectral distribution of kernel-based grap...
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11/03/2020
Convergence of Graph Laplacian with kNN Self-tuned Kernels
Kernelized Gram matrix W constructed from data points {x_i}_i=1^N as W_i...
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10/14/2020
Diffusion Based Gaussian Processes on Restricted Domains
In nonparametric regression and spatial process modeling, it is common f...
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08/11/2020
Airflow recovery from thoracic and abdominal movements using Synchrosqueezing Transform and Locally Stationary Gaussian Process Regression
Airflow signal encodes rich information about respiratory system. While ...
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07/13/2020
Strong Uniform Consistency with Rates for Kernel Density Estimators with General Kernels on Manifolds
We provide a strong uniform consistency result with the convergence rate...
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06/23/2020
Unsupervised ensembling of multiple software sensors: a new approach for electrocardiogram-derived respiration using one or two channels
While several electrocardiogram-derived respiratory (EDR) algorithms hav...
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05/10/2020
Convergence analysis of Adaptive Locally Iterative Filtering and SIFT method
Adaptive Local Iterative Filtering (ALIF) is a currently proposed novel ...
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05/05/2020
Frequency Detection and Change Point Estimation for Time Series of Complex Oscillation
We consider detecting the evolutionary oscillatory pattern of a signal w...
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03/31/2020
When Ramanujan meets time-frequency analysis in complicated time series analysis
To handle time series with complicated oscillatory structure, we propose...
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02/25/2020
An Adaptive QRS Detection Algorithm for Ultra-Long-Term ECG Recordings
Background: Accurate detection of QRS complexes during mobile, ultra-lon...
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01/03/2020
Scalability and robustness of spectral embedding: landmark diffusion is all you need
While spectral embedding is a widely applied dimension reduction techniq...
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12/11/2019
Diffusion based Gaussian process regression via heat kernel reconstruction
We propose an algorithm for Gaussian Process regression on an unknown em...
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09/25/2019
On the spectral property of kernel-based sensor fusion algorithms of high dimensional data
In this paper, we apply local laws of random matrices and free probabili...
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07/31/2019
Optimization-based quasi-uniform spherical t-design and generalized multitaper for complex physiological time series
Motivated by the demand to analyze complex physiological time series, we...
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07/01/2019
Wave-shape oscillatory model for biomedical time series with applications
The oscillations observed in physiological time series exhibit morpholog...
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05/30/2019
Meniere's Disease Prognosis by Learning from Transient-Evoked Otoacoustic Emission Signals
Accurate prognosis of Meniere disease (MD) is difficult. The aim of this...
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04/21/2019
Inference of synchrosqueezing transform -- toward a unified statistical analysis of nonlinear-type time-frequency analysis
We provide a statistical analysis of a tool in nonlinear-type time-frequ...
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04/21/2019
Recovery of the fetal electrocardiogram for morphological analysis from two trans-abdominal channels via optimal shrinkage
We propose a novel algorithm to recover fetal electrocardiogram (ECG) fo...
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04/19/2019
Optimal Recovery of Mahalanobis Distance in High Dimension
In this paper, we study the problem of Mahalanobis distance (MD) estimat...
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02/14/2019
Non-contact photoplethysmogram and instantaneous heart rate estimation from infrared face video
Extracting the instantaneous heart rate (iHR) from face videos has been ...
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11/27/2018
Recycling cardiogenic artifacts in impedance pneumography
Purpose: We want to capture as much information as possible from biomedi...
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11/11/2018
When Locally Linear Embedding Hits Boundary
Based on the Riemannian manifold model, we study the asymptotical behavi...
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11/07/2018
Solving Jigsaw Puzzles By The Graph Connection Laplacian
We propose a novel mathematical framework to address the problem of auto...
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08/27/2018
Calibration for massive physiological signal collection in hospital -- Sawtooth artifact in beat-to-beat pulse transit time measured from patient monitor data
Objective: Calibration is one of the most important initial steps in any...
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08/01/2018
Sleep-wake classification via quantifying heart rate variability by convolutional neural network
Fluctuations in heart rate are intimately tied to changes in the physiol...
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04/09/2018
Connecting Dots -- from Local Covariance to Empirical Intrinsic Geometry and Locally Linear Embedding
Local covariance structure under the manifold setup has been widely appl...
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03/17/2018
A Novel Blaschke Unwinding Adaptive Fourier Decomposition based Signal Compression Algorithm with Application on ECG Signals
This paper presents a novel signal compression algorithm based on the Bl...
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02/28/2018
Diffuse to fuse EEG spectra -- intrinsic geometry of sleep dynamics for classification
Background: Based on the clinical needs, we introduce a novel sleep stag...
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02/27/2018
Phenotype-based and Self-learning Inter-individual Sleep Apnea Screening with a Level IV Monitoring System
Purpose: We propose a phenotype-based artificial intelligence system tha...
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12/19/2017
Analyzing transient-evoked otoacoustic emissions by concentration of frequency and time
The linear part of transient evoked (TE) otoacoustic emissions (OAEs) ar...
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02/07/2017
Efficient fetal-maternal ECG signal separation from two channel maternal abdominal ECG via diffusion-based channel selection
There is a need for affordable, widely deployable maternal-fetal ECG mon...
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01/13/2017
Diffusion-based nonlinear filtering for multimodal data fusion with application to sleep stage assessment
The problem of information fusion from multiple data-sets acquired by mu...
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09/09/2016
Extract fetal ECG from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median
The multiple fundamental frequency detection problem and the source sepa...
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01/30/2016
Latent common manifold learning with alternating diffusion: analysis and applications
The analysis of data sets arising from multiple sensors has drawn signif...
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05/23/2014