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
  - Zhang, JT, Cheng, MY, Wu, HT, and Zhou, B. "A new test for functional one-way ANOVA with applications to ischemic heart screening(Accepted)." Computational Statistics and Data Analysis 132 (April 1, 2019): 3-17. 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
  - Alagapan, S, Shin, HW, Fröhlich, F, and Wu, H-T. "Diffusion geometry approach to efficiently remove electrical stimulation artifacts in intracranial electroencephalography." Journal of Neural Engineering (November 21, 2018). 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, HT, Frasch, MG, and Eswaran, H. "A Comparison of Five Algorithms for Fetal Magnetocardiography Signal Extraction." Cardiovascular Engineering and Technology 9, no. 3 (September 15, 2018): 483-487. Full Text
  - Malik, J, Lo, YL, and Wu, HT. "Sleep-wake classification via quantifying heart rate variability by convolutional neural network." Physiological Measurement 39, no. 8 (August 20, 2018). 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
  - Tan, C, Zhang, L, and Wu, HT. "A Novel Blaschke Unwinding Adaptive Fourier Decomposition based Signal Compression Algorithm with Application on ECG Signals(Accepted)." Ieee Journal of Biomedical and Health Informatics (March 21, 2018). 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-. 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, H-T. "Carrier Frequencies, Holomorphy, and Unwinding." Siam Journal on Mathematical Analysis 49, no. 6 (January 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
  - 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
  - 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
  - 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, H-T, and Maia, F. "Augmented projections for ptychographic imaging." Inverse Problems 29, no. 11 (November 1, 2013): 115009-115009. 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
  - 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, 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
  - 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