Hau-Tieng Wu | Scholars@Duke

Hau-Tieng Wu
Associate Professor of Mathematics

Current Appointments & Affiliations

Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2017
Associate Professor of Statistical Science, Statistical Science, Trinity College of Arts & Sciences 2017

Contact Information

207 Physics Building, 120 Science Drive, Durham, NC 27708
Box 90320, Durham, NC 27708
hau.tieng.wu@duke.edu (919) 660-2861
My homepage

Background
Education, Training, & Certifications
- Ph.D., Princeton University 2011
- M.D., National Yang Ming University (Taiwan) 2003
Recognition
In the News
- OCT 17, 2017
  
  Hau-tieng Wu: Vital Signs
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Alagapan, S, Shin, HW, Fröhlich, F, and Wu, H-T. "Diffusion geometry approach to efficiently remove electrical stimulation artifacts in intracranial electroencephalography.(Accepted)" Journal of Neural Engineering 16, no. 3 (June 2019): 036010-null. Full Text
  - Lu, Y, Wu, HT, and Malik, J. "Recycling cardiogenic artifacts in impedance pneumography." Biomedical Signal Processing and Control 51 (May 1, 2019): 162-170. Full Text
  - Chen, H-Y, Pan, H-C, Chen, Y-C, Chen, Y-C, Lin, Y-H, Yang, S-H, Chen, J-L, and Wu, H-T. "Traditional Chinese medicine use is associated with lower end-stage renal disease and mortality rates among patients with diabetic nephropathy: a population-based cohort study." Bmc Complementary and Alternative Medicine 19, no. 1 (April 3, 2019): 81-null. Full Text
  - Zhang, JT, Cheng, MY, Wu, HT, and Zhou, B. "A new test for functional one-way ANOVA with applications to ischemic heart screening." Computational Statistics and Data Analysis 132 (April 1, 2019): 3-17. Full Text
  - Tan, C, Zhang, L, and Wu, H-T. "A Novel Blaschke Unwinding Adaptive-Fourier-Decomposition-Based Signal Compression Algorithm With Application on ECG Signals." Ieee Journal of Biomedical and Health Informatics 23, no. 2 (March 2019): 672-682. Full Text
  - Katz, O, Talmon, R, Lo, YL, and Wu, HT. "Alternating diffusion maps for multimodal data fusion." Information Fusion 45 (January 1, 2019): 346-360. Full Text
  - Lo, YL, Wu, HT, Lin, YT, Kuo, HP, and Lin, TY. "Hypoventilation patterns during bronchoscopic sedation and their clinical relevance based on capnographic and respiratory impedance analysis." Journal of Clinical Monitoring and Computing (January 1, 2019). Full Text
  - Lin, CY, and Wu, HT. "Embeddings of Riemannian manifolds with finite eigenvector fields of connection Laplacian." Calculus of Variations and Partial Differential Equations 57, no. 5 (October 1, 2018). Full Text
  - Escalona-Vargas, D, Wu, H-T, Frasch, MG, and Eswaran, H. "A Comparison of Five Algorithms for Fetal Magnetocardiography Signal Extraction." Cardiovascular Engineering and Technology 9, no. 3 (September 2018): 483-487. Full Text
  - Malik, J, Lo, Y-L, and Wu, H-T. "Sleep-wake classification via quantifying heart rate variability by convolutional neural network." Physiological Measurement 39, no. 8 (August 20, 2018): 085004-null. Full Text
  - Wu, HT, Wu, JC, Huang, PC, Lin, TY, Wang, TY, Huang, YH, and Lo, YL. "Phenotype-based and self-learning inter-individual sleep apnea screening with a level IV-like monitoring system." Frontiers in Physiology 9, no. JUL (July 2, 2018). Full Text
  - Wu, HT, and Liu, YW. "Analyzing transient-evoked otoacoustic emissions by concentration of frequency and time." Journal of the Acoustical Society of America 144, no. 1 (July 1, 2018): 448-466. Full Text
  - Wu, H-T, and Soliman, EZ. "A new approach for analysis of heart rate variability and QT variability in long-term ECG recording." Biomedical Engineering Online 17, no. 1 (May 3, 2018): 54-null. Full Text
  - Lin, CY, Su, L, and Wu, HT. "Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis." Journal of Fourier Analysis and Applications 24, no. 2 (April 1, 2018): 451-505. Full Text
  - Shen, C, Frasch, MG, Wu, HT, Herry, CL, Cao, M, Desrochers, A, Fecteau, G, and Burns, P. "Non-invasive acquisition of fetal ECG from the maternal xyphoid process: a feasibility study in pregnant sheep and a call for open data sets." Physiological Measurement 39, no. 3 (March 27, 2018): 035005-null. Full Text
  - Frasch, MG, Lobmaier, SM, Stampalija, T, Desplats, P, Pallarés, ME, Pastor, V, Brocco, MA, Wu, HT, Schulkin, J, Herry, CL, Seely, AJE, Metz, GAS, Louzoun, Y, and Antonelli, MC. "Non-invasive biomarkers of fetal brain development reflecting prenatal stress: An integrative multi-scale multi-species perspective on data collection and analysis(Accepted)." Neuroscience and Biobehavioral Reviews (January 1, 2018). Full Text Open Access Copy
  - Kowalski, M, Meynard, A, and Wu, HT. "Convex Optimization approach to signals with fast varying instantaneous frequency." Applied and Computational Harmonic Analysis 44, no. 1 (January 1, 2018): 89-122. Full Text
  - Talmon, R, and Wu, HT. "Latent common manifold learning with alternating diffusion: Analysis and applications(Accepted)." Applied and Computational Harmonic Analysis (January 1, 2018). Full Text
  - Wu, HT, and Wu, N. "Think globally, fit locally under the manifold setup: Asymptotic analysis of locally linear embedding." Annals of Statistics 46, no. 6B (January 1, 2018): 3805-3837. Full Text Open Access Copy
  - Wu, H-K, Ko, Y-S, Lin, Y-S, Wu, H-T, Tsai, T-H, and Chang, H-H. "Corrigendum to "The correlation between pulse diagnosis and constitution identification in traditional Chinese medicine" [Complementary Ther. Med. 30 (2017) 107-112]." Complementary therapies in medicine 35 (December 2017): 145-. Full Text
  - Lin, YY, Wu, HT, Hsu, CA, Huang, PC, Huang, YH, and Lo, YL. "Sleep Apnea Detection Based on Thoracic and Abdominal Movement Signals of Wearable Piezoelectric Bands." Ieee Journal of Biomedical and Health Informatics 21, no. 6 (November 1, 2017): 1533-1545. Full Text
  - Chao, Y-S, Wu, H-T, Scutari, M, Chen, T-S, Wu, C-J, Durand, M, and Boivin, A. "A network perspective on patient experiences and health status: the Medical Expenditure Panel Survey 2004 to 2011." BMC health services research 17, no. 1 (August 22, 2017): 579-. Full Text
  - Lin, T-Y, Fang, Y-F, Huang, S-H, Wang, T-Y, Kuo, C-H, Wu, H-T, Kuo, H-P, and Lo, Y-L. "Capnography monitoring the hypoventilation during the induction of bronchoscopic sedation: A randomized controlled trial." Scientific Reports 7, no. 1 (August 17, 2017): 8685-null. Full Text Open Access Copy
  - Georgiou, AS, Bello-Rivas, JM, Gear, CW, Wu, HT, Chiavazzo, E, and Kevrekidis, IG. "An exploration algorithm for stochastic simulators driven by energy gradients." Entropy 19, no. 7 (July 1, 2017). Full Text
  - Malik, J, Reed, N, Wang, C-L, and Wu, H-T. "Single-lead f-wave extraction using diffusion geometry." Physiological measurement 38, no. 7 (June 22, 2017): 1310-1334. Full Text
  - Sheu, Y-L, Hsu, L-Y, Chou, P-T, and Wu, H-T. "Entropy-based time-varying window width selection for nonlinear-type time–frequency analysis." International Journal of Data Science and Analytics 3, no. 4 (June 2017): 231-245. Full Text
  - Herry, CL, Frasch, M, Seely, AJ, and Wu, H-T. "Heart beat classification from single-lead ECG using the synchrosqueezing transform." Physiological measurement 38, no. 2 (February 2017): 171-187. Full Text
  - Wu, H-K, Ko, Y-S, Lin, Y-S, Wu, H-T, Tsai, T-H, and Chang, H-H. "The correlation between pulse diagnosis and constitution identification in traditional Chinese medicine." Complementary therapies in medicine 30 (February 2017): 107-112. Full Text
  - Wu, HT. "Embedding Riemannian manifolds by the heat kernel of the connection Laplacian." Advances in Mathematics 304 (January 2, 2017): 1055-1079. Full Text
  - Cicone, A, and Wu, H-T. "How Nonlinear-Type Time-Frequency Analysis Can Help in Sensing Instantaneous Heart Rate and Instantaneous Respiratory Rate from Photoplethysmography in a Reliable Way." Frontiers in Physiology 8 (January 2017): 701-null. Full Text Open Access Copy
  - Coifman, RR, Steinerberger, S, and Wu, HT. "Carrier frequencies, holomorphy. And unwinding." Siam Journal on Mathematical Analysis 49, no. 6 (January 1, 2017): 4838-4864. Full Text Open Access Copy
  - Frasch, MG, Boylan, GB, Wu, H-T, and Devane, D. "Commentary: Computerised interpretation of fetal heart rate during labour (INFANT): a randomised controlled trial." Frontiers in physiology 8 (January 2017): 721-. Full Text
  - Li, R, Frasch, MG, and Wu, H-T. "Efficient Fetal-Maternal ECG Signal Separation from Two Channel Maternal Abdominal ECG via Diffusion-Based Channel Selection." Frontiers in Physiology 8 (January 2017): 277-null. Full Text Open Access Copy
  - Lin, Y-T, and Wu, H-T. "ConceFT for Time-Varying Heart Rate Variability Analysis as a Measure of Noxious Stimulation During General Anesthesia." Ieee Transactions on Bio Medical Engineering 64, no. 1 (January 2017): 145-154. Full Text
  - Liu, W-T, Wu, H-T, Juang, J-N, Wisniewski, A, Lee, H-C, Wu, D, and Lo, Y-L. "Prediction of the severity of obstructive sleep apnea by anthropometric features via support vector machine." PloS one 12, no. 5 (January 2017): e0176991-. Full Text
  - Wu, C-H, Wang, T-D, Hsieh, C-H, Huang, S-H, Lin, J-W, Hsu, S-C, Wu, H-T, Wu, Y-M, and Liu, T-M. "Imaging Cytometry of Human Leukocytes with Third Harmonic Generation Microscopy." Scientific Reports 6 (November 15, 2016): 37210-null. Full Text Open Access Copy
  - Marchesini, S, Tu, YC, and Wu, HT. "Alternating projection, ptychographic imaging and phase synchronization." Applied and Computational Harmonic Analysis 41, no. 3 (November 1, 2016): 815-851. Full Text
  - Lin, Y-T, Flandrin, P, and Wu, H-T. "When Interpolation-Induced Reflection Artifact Meets Time-Frequency Analysis." IEEE transactions on bio-medical engineering 63, no. 10 (October 2016): 2133-2141. Full Text
  - Wu, H-T, Lewis, GF, Davila, MI, Daubechies, I, and Porges, SW. "Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform." Methods of Information in Medicine 55, no. 5 (October 2016): 463-472. Full Text
  - O'Neal, WT, Wang, YG, Wu, H-T, Zhang, Z-M, Li, Y, Tereshchenko, LG, Estes, EH, Daubechies, I, and Soliman, EZ. "Electrocardiographic J Wave and Cardiovascular Outcomes in the General Population (from the Atherosclerosis Risk In Communities Study)." The American journal of cardiology 118, no. 6 (September 2016): 811-815. Full Text Open Access Copy
  - Chui, CK, Lin, YT, and Wu, HT. "Real-Time dynamics acquisition from irregular samples-With application to anesthesia evaluation." Analysis and Applications 14, no. 4 (July 1, 2016): 537-590. Full Text
  - Daubechies, I, Wang, YG, and Wu, H-T. "ConceFT: concentration of frequency and time via a multitapered synchrosqueezed transform." Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences 374, no. 2065 (April 2016): 20150193-null. Full Text
  - El Karoui, N, and Wu, HT. "Graph connection Laplacian methods can be made robust to noise." Annals of Statistics 44, no. 1 (February 1, 2016): 346-372. Full Text
  - Herry, CL, Cortes, M, Wu, H-T, Durosier, LD, Cao, M, Burns, P, Desrochers, A, Fecteau, G, Seely, AJE, and Frasch, MG. "Temporal Patterns in Sheep Fetal Heart Rate Variability Correlate to Systemic Cytokine Inflammatory Response: A Methodological Exploration of Monitoring Potential Using Complex Signals Bioinformatics." PloS one 11, no. 4 (January 2016): e0153515-. Full Text
  - Wu, H-T, Wu, H-K, Wang, C-L, Yang, Y-L, Wu, W-H, Tsai, T-H, and Chang, H-H. "Modeling the Pulse Signal by Wave-Shape Function and Analyzing by Synchrosqueezing Transform." PloS one 11, no. 6 (January 2016): e0157135-. Full Text
  - Vatter, T, Wu, HT, Chavez-Demoulin, V, and Yu, B. "Non-parametric estimation of intraday spot volatility: Disentangling instantaneous trend and seasonality." Econometrics 3, no. 4 (December 1, 2015): 864-887. Full Text
  - Sheu, Y-L, Wu, H-T, and Hsu, L-Y. "Exploring laser-driven quantum phenomena from a time-frequency analysis perspective: a comprehensive study." Optics express 23, no. 23 (November 2015): 30459-30482. Full Text
  - Wu, H-T, Talmon, R, and Lo, Y-L. "Assess sleep stage by modern signal processing techniques." Ieee Transactions on Bio Medical Engineering 62, no. 4 (April 2015): 1159-1168. Full Text
  - Wu, HT, Baudin, F, Frasch, MG, and Emeriaud, G. "Respiratory variability during NAVA ventilation in children: Authors' reply." Frontiers in Pediatrics 3, no. FEB (February 1, 2015). Full Text
  - Wang, YG, Wu, H-T, Daubechies, I, Li, Y, Estes, EH, and Soliman, EZ. "Automated J wave detection from digital 12-lead electrocardiogram." Journal of Electrocardiology 48, no. 1 (January 2015): 21-28. Full Text
  - Baudin, F, Wu, HT, Bordessoule, A, Beck, J, Jouvet, P, Frasch, MG, and Emeriaud, G. "Impact of ventilatory modes on the breathing variability in mechanically ventilated infants." Frontiers in Pediatrics 2, no. NOV (November 1, 2014). Full Text
  - Sheu, YL, Hsu, LY, Wu, HT, Li, PC, and Chu, SI. "A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform." Aip Advances 4, no. 11 (November 1, 2014). Full Text
  - Wu, H-T, Hseu, S-S, Bien, M-Y, Kou, YR, and Daubechies, I. "Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning." Ieee Transactions on Bio Medical Engineering 61, no. 3 (March 2014): 736-744. Full Text
  - Wu, HT, Chan, YH, Lin, YT, and Yeh, YH. "Using synchrosqueezing transform to discover breathing dynamics from ECG signals." Applied and Computational Harmonic Analysis 36, no. 2 (March 1, 2014): 354-359. Full Text
  - Lin, Y-T, Wu, H-T, Tsao, J, Yien, H-W, and Hseu, S-S. "Time-varying spectral analysis revealing differential effects of sevoflurane anaesthesia: non-rhythmic-to-rhythmic ratio." Acta Anaesthesiologica Scandinavica 58, no. 2 (February 2014): 157-167. Full Text
  - Chen, YC, Cheng, MY, and Wu, HT. "Non-parametric and adaptive modelling of dynamic periodicity and trend with heteroscedastic and dependent errors." Journal of the Royal Statistical Society. Series B: Statistical Methodology 76, no. 3 (January 1, 2014): 651-682. Full Text
  - Marchesini, S, Schirotzek, A, Yang, C, Wu, HT, and Maia, F. "Augmented projections for ptychographic imaging." Inverse Problems 29, no. 11 (November 1, 2013). Full Text
  - Wu, HT. "Instantaneous frequency and wave shape functions (I)." Applied and Computational Harmonic Analysis 35, no. 2 (September 1, 2013): 181-199. Full Text
  - Thakur, G, Brevdo, E, Fučkar, NS, and Wu, HT. "The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications." Signal Processing 93, no. 5 (May 1, 2013): 1079-1094. Full Text
  - Auger, F, Flandrin, P, Lin, YT, McLaughlin, S, Meignen, S, Oberlin, T, and Wu, HT. "Time-frequency reassignment and synchrosqueezing: An overview." Ieee Signal Processing Magazine 30, no. 6 (January 1, 2013): 32-41. Full Text
  - Cheng, MY, and Wu, HT. "Local linear regression on manifolds and its geometric interpretation." Journal of the American Statistical Association 108, no. 504 (January 1, 2013): 1421-1434. Full Text
  - Singer, A, and Wu, H-T. "Two-Dimensional Tomography from Noisy Projections Taken at Unknown Random Directions." Siam Journal on Imaging Sciences 6, no. 1 (January 2013): 136-175. Full Text
  - Wang, Y-M, Wu, H-T, Huang, E-Y, Kou, YR, and Hseu, S-S. "Heart rate variability is associated with survival in patients with brain metastasis: a preliminary report." Biomed Research International 2013 (January 2013): 503421-null. Full Text Open Access Copy
  - Singer, A, and Wu, H-T. "Vector Diffusion Maps and the Connection Laplacian." Communications on Pure and Applied Mathematics 65, no. 8 (August 2012). Full Text
  - Thakur, G, and Wu, HT. "Synchrosqueezing-based recovery of instantaneous frequency from nonuniform samples." Siam Journal on Mathematical Analysis 43, no. 5 (November 21, 2011): 2078-2095. Full Text
  - Singer, A, and Wu, H-T. "Orientability and Diffusion Maps." Applied and Computational Harmonic Analysis 31, no. 1 (July 2011): 44-58. Full Text
  - Wu, HT, Flandrin, P, and Daubechies, I. "One or two frequencies? the synchrosqueezing answers." Advances in Adaptive Data Analysis 3, no. 1-2 (April 1, 2011): 29-39. Full Text
  - Daubechies, I, Lu, J, and Wu, H-T. "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool." Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243-261. Full Text
  - Chang, C-H, Fang, Y-L, Wang, Y-J, Wu, H-T, and Lin, Y-T. "Differentiation of skin incision and laparoscopic trocar insertion via quantifying transient bradycardia measured by electrocardiogram." . Link to Item
  - Gavish, M, Talmon, R, Su, P-C, and Wu, H-T. "Optimal Recovery of Mahalanobis Distance in High Dimension." . Link to Item
  - Karoui, NE, and Wu, H-T. "Graph connection Laplacian and random matrices with random blocks." . Link to Item
  - Li, S, and Wu, H-T. "Extract fetal ECG from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median." . Link to Item
  - Lin, Y-T, Lo, Y-L, Lin, C-Y, Wu, H-T, and Frasch, MG. "Calibration for massive physiological signal collection in hospital -- Sawtooth artifact in beat-to-beat pulse transit time measured from patient monitor data." . Link to Item
  - Liu, G-R, Lo, Y-L, Malik, J, Sheu, Y-C, and Wu, H-T. "Diffuse to fuse EEG spectra -- intrinsic geometry of sleep dynamics for classification." . Link to Item
  - Singer, A, and Wu, H-T. "Spectral Convergence of the connection Laplacian from random samples." . Link to Item
  - Sourisseau, M, Wu, H-T, and Zhou, Z. "Inference of synchrosqueezing transform -- toward a unified statistical analysis of nonlinear-type time-frequency analysis." . Link to Item
  - Wu, H, and Su, L. "Fetal ECG extraction from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median." Front. Appl. Math. Stat. . Link to Item
  - Zhang, J-T, Cheng, M-Y, Tseng, C-J, and Wu, H-T. "A New Test for One-Way ANOVA with Functional Data and Application to Ischemic Heart Screening." . Link to Item
- Conference Papers
  - Liu, TC, Wu, HT, Chen, YH, Fang, TY, Wang, PC, and Liu, YW. "Analysis of click-evoked otoacoustic emissions by concentration of frequency and time: Preliminary results from normal hearing and Ménière's disease ears." May 31, 2018. Full Text Open Access Copy
  - Wu, JC, Wang, CW, Huang, YH, Wu, HT, Huang, PC, and Lo, YL. "A Portable Monitoring System with Automatic Event Detection for Sleep Apnea Level-IV Evaluation." April 26, 2018. Full Text
  - Lederman, RR, Talmon, R, Wu, H-T, Lo, Y-L, Coifman, RR, and IEEE, . "ALTERNATING DIFFUSION FOR COMMON MANIFOLD LEARNING WITH APPLICATION TO SLEEP STAGE ASSESSMENT." 2015. Link to Item
  - Lederman, RR, Talmon, R, Wu, HT, Lo, YL, and Coifman, RR. "Alternating diffusion for common manifold learning with application to sleep stage assessment." January 1, 2015. Full Text
Teaching & Mentoring
Recent Courses
- MATH 230: Probability 2019
- MATH 393: Research Independent Study 2019
- MATH 531: Basic Analysis I 2019
- STA 230: Probability 2019
- STA 790: Special Topics in Statistics 2018

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Education, Training, & Certifications

In the News

Selected Publications

Academic Articles

Conference Papers

Recent Courses