HauTieng 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) 6602861
 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

 Publications & Artistic Works

Selected Publications

Academic Articles
 Katz, O, Talmon, R, Lo, YL, and Wu, HT. "Alternating diffusion maps for multimodal data fusion(Accepted)." Information Fusion 45 (January 2019): 346360. 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
 Malik, J, Lo, YL, and Wu, HT. "Sleepwake 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. "PhenotypeBased and SelfLearning InterIndividual Sleep Apnea Screening With a Level IVLike Monitoring System." Frontiers in Physiology 9 (July 2, 2018). Full Text
 Wu, HT, and Liu, YW. "Analyzing transientevoked otoacoustic emissions by concentration of frequency and time." Journal of the Acoustical Society of America 144, no. 1 (July 1, 2018): 448466. Full Text
 Wu, HT, and Soliman, EZ. "A new approach for analysis of heart rate variability and QT variability in longterm ECG recording." Biomedical Engineering Online 17, no. 1 (May 3, 2018): 54null. 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. "Noninvasive biomarkers of fetal brain development reflecting prenatal stress: An integrative multiscale multispecies perspective on data collection and analysis." Neuroscience & Biobehavioral Reviews (May 2018). Full Text Open Access Copy
 Zhang, JT, Cheng, MY, Wu, HT, and Zhou, B. "A new test for functional oneway ANOVA with applications to ischemic heart screening." Computational Statistics & Data Analysis (May 2018). Full Text
 Shen, C, Frasch, MG, Wu, HT, Herry, CL, Cao, M, Desrochers, A, Fecteau, G, and Burns, P. "Noninvasive 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): 035005null. Full Text
 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 2018): 89122. Full Text
 Talmon, R, and Wu, HT. "Latent common manifold learning with alternating diffusion: Analysis and applications." Applied and Computational Harmonic Analysis (January 2018). 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." Ieee Journal of Biomedical and Health Informatics (2018): 11. 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): 38053837. Full Text Open Access Copy
 Wu, HK, Ko, YS, Lin, YS, Wu, HT, Tsai, TH, and Chang, HH. "Corrigendum to "The correlation between pulse diagnosis and constitution identification in traditional Chinese medicine" [Complementary Ther. Med. 30 (2017) 107112]." Complementary therapies in medicine 35 (December 2017): 145. Full Text
 Chao, YS, Wu, HT, Scutari, M, Chen, TS, Wu, CJ, 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, TY, Fang, YF, Huang, SH, Wang, TY, Kuo, CH, Wu, HT, Kuo, HP, and Lo, YL. "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, A, BelloRivas, J, Gear, C, Wu, HT, Chiavazzo, E, and Kevrekidis, I. "An Exploration Algorithm for Stochastic Simulators Driven by Energy Gradients." Entropy 19, no. 7 (July 2017): 294294. Full Text
 Malik, J, Reed, N, Wang, CL, and Wu, HT. "Singlelead fwave extraction using diffusion geometry." Physiological measurement 38, no. 7 (June 22, 2017): 13101334. Full Text
 Sheu, YL, Hsu, LY, Chou, PT, and Wu, HT. "Entropybased timevarying window width selection for nonlineartype time–frequency analysis." International Journal of Data Science and Analytics 3, no. 4 (June 2017): 231245. Full Text
 Herry, CL, Frasch, M, Seely, AJ, and Wu, HT. "Heart beat classification from singlelead ECG using the synchrosqueezing transform." Physiological measurement 38, no. 2 (February 2017): 171187. Full Text
 Wu, HK, Ko, YS, Lin, YS, Wu, HT, Tsai, TH, and Chang, HH. "The correlation between pulse diagnosis and constitution identification in traditional Chinese medicine." Complementary therapies in medicine 30 (February 2017): 107112. Full Text
 Cicone, A, and Wu, HT. "How NonlinearType TimeFrequency Analysis Can Help in Sensing Instantaneous Heart Rate and Instantaneous Respiratory Rate from Photoplethysmography in a Reliable Way." Frontiers in Physiology 8 (January 2017): 701null. 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): 48384864. Full Text Open Access Copy
 Frasch, MG, Boylan, GB, Wu, HT, 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, HT. "Efficient FetalMaternal ECG Signal Separation from Two Channel Maternal Abdominal ECG via DiffusionBased Channel Selection." Frontiers in Physiology 8 (January 2017): 277null. Full Text Open Access Copy
 Lin, YT, and Wu, HT. "ConceFT for TimeVarying Heart Rate Variability Analysis as a Measure of Noxious Stimulation During General Anesthesia." Ieee Transactions on Bio Medical Engineering 64, no. 1 (January 2017): 145154. Full Text
 Liu, WT, Wu, HT, Juang, JN, Wisniewski, A, Lee, HC, Wu, D, and Lo, YL. "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, HT. "Embedding Riemannian manifolds by the heat kernel of the connection Laplacian." Advances in Mathematics 304 (January 2017): 10551079. Full Text
 Wu, CH, Wang, TD, Hsieh, CH, Huang, SH, Lin, JW, Hsu, SC, Wu, HT, Wu, YM, and Liu, TM. "Imaging Cytometry of Human Leukocytes with Third Harmonic Generation Microscopy." Scientific Reports 6 (November 15, 2016): 37210null. 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 2016): 815851. Full Text
 Lin, YT, Flandrin, P, and Wu, HT. "When InterpolationInduced Reflection Artifact Meets TimeFrequency Analysis." IEEE transactions on biomedical engineering 63, no. 10 (October 2016): 21332141. Full Text
 Wu, HT, 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): 463472. Full Text
 O'Neal, WT, Wang, YG, Wu, HT, Zhang, ZM, 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): 811815. Full Text Open Access Copy
 Chui, CK, Lin, YT, and Wu, HT. "Realtime dynamics acquisition from irregular samples — With application to anesthesia evaluation." Analysis and Applications 14, no. 04 (July 2016): 537590. Full Text
 Daubechies, I, Wang, YG, and Wu, HT. "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): 20150193null. Full Text
 El Karoui, N, and Wu, HT. "Graph connection Laplacian methods can be made robust to noise." The Annals of Statistics 44, no. 1 (February 2016): 346372. Full Text
 Herry, CL, Cortes, M, Wu, HT, 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
 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 (2016): 11. Full Text
 Wu, HT, Wu, HK, Wang, CL, Yang, YL, Wu, WH, Tsai, TH, and Chang, HH. "Modeling the Pulse Signal by WaveShape Function and Analyzing by Synchrosqueezing Transform." PloS one 11, no. 6 (January 2016): e0157135. Full Text
 Sheu, YL, Wu, HT, and Hsu, LY. "Exploring laserdriven quantum phenomena from a timefrequency analysis perspective: a comprehensive study." Optics express 23, no. 23 (November 2015): 3045930482. Full Text
 Wu, HT, Talmon, R, and Lo, YL. "Assess sleep stage by modern signal processing techniques." Ieee Transactions on Bio Medical Engineering 62, no. 4 (April 2015): 11591168. Full Text
 Wang, YG, Wu, HT, Daubechies, I, Li, Y, Estes, EH, and Soliman, EZ. "Automated J wave detection from digital 12lead electrocardiogram." Journal of Electrocardiology 48, no. 1 (January 2015): 2128. Full Text
 Sheu, YL, Hsu, LY, Wu, HT, Li, PC, and Chu, SI. "A new timefrequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses: Synchrosqueezing transform." AIP Advances 4, no. 11 (November 2014): 117138117138. Full Text
 Chen, YC, Cheng, MY, and Wu, HT. "Nonparametric 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 (June 2014): 651682. 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 2014): 354359. Full Text
 Wu, HT, Hseu, SS, Bien, MY, 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): 736744. Full Text
 Lin, YT, Wu, HT, Tsao, J, Yien, HW, and Hseu, SS. "Timevarying spectral analysis revealing differential effects of sevoflurane anaesthesia: nonrhythmictorhythmic ratio." Acta Anaesthesiologica Scandinavica 58, no. 2 (February 2014): 157167. 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 (December 2013): 14211434. Full Text
 Auger, F, Flandrin, P, Lin, YT, McLaughlin, S, Meignen, S, Oberlin, T, and Wu, HT. "TimeFrequency Reassignment and Synchrosqueezing: An Overview." Ieee Signal Processing Magazine 30, no. 6 (November 2013): 3241. 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): 115009115009. Full Text
 Wu, HT. "Instantaneous frequency and wave shape functions (I)." Applied and Computational Harmonic Analysis 35, no. 2 (September 2013): 181199. Full Text
 Thakur, G, Brevdo, E, Fučkar, NS, and Wu, HT. "The Synchrosqueezing algorithm for timevarying spectral analysis: Robustness properties and new paleoclimate applications." Signal Processing 93, no. 5 (May 2013): 10791094. Full Text
 Singer, A, and Wu, HT. "TwoDimensional Tomography from Noisy Projections Taken at Unknown Random Directions." Siam Journal on Imaging Sciences 6, no. 1 (January 2013): 136175. Full Text
 Wang, YM, Wu, HT, Huang, EY, Kou, YR, and Hseu, SS. "Heart rate variability is associated with survival in patients with brain metastasis: a preliminary report." Biomed Research International 2013 (January 2013): 503421null. Full Text Open Access Copy
 Singer, A, and Wu, HT. "Vector Diffusion Maps and the Connection Laplacian." Communications on Pure and Applied Mathematics 65, no. 8 (August 2012). Full Text
 Singer, A, and Wu, HT. "Orientability and Diffusion Maps." Applied and Computational Harmonic Analysis 31, no. 1 (July 2011): 4458. Full Text
 WU, HT, FLANDRIN, P, and DAUBECHIES, I. "ONE OR TWO FREQUENCIES? THE SYNCHROSQUEEZING ANSWERS." Advances in Adaptive Data Analysis 03, no. 01n02 (April 2011): 2939. Full Text
 Daubechies, I, Lu, J, and Wu, HT. "Synchrosqueezed wavelet transforms: An empirical mode decompositionlike tool." Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243261. Full Text
 Thakur, G, and Wu, HT. "SynchrosqueezingBased Recovery of Instantaneous Frequency from Nonuniform Samples." Siam Journal on Mathematical Analysis 43, no. 5 (January 2011): 20782095. Full Text
 EscalonaVargas, D, Wu, HT, Frasch, MG, and Eswaran, H. "A Comparison of Five Algorithms for Fetal Magnetocardiography Signal Extraction(Published online)." Cardiovascular Engineering and Technology . Full Text
 Lin, CY, Su, L, and Wu, HT. "WaveShape Function Analysis (Published online)." Journal of Fourier Analysis and Applications . Full Text
 Wu, H, Alagapan, S, Frohlich, F, and Shin, HW. "Diffusion geometry approach to efficiently remove electrical stimulation artifacts in intracranial electroencephalography." Journal of Neural Engineering . Link to Item
 Wu, H, and Su, L. "Fetal ECG extraction from singlelead abdominal ECG by deshape short time Fourier transform and nonlocal median." Front. Appl. Math. Stat. . Link to Item

Conference Papers
 Liu, TC, Wu, HT, Chen, YH, Fang, TY, Wang, PC, and Liu, YW. "Analysis of clickevoked 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 LevelIV Evaluation." April 26, 2018. Full Text
 Lederman, RR, Talmon, R, Wu, HT, Lo, YL, 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
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