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
Research
Selected Grants
- HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms awarded by National Science Foundation 2019 - 2022
Publications & Artistic Works
Selected Publications
- Academic Articles
  - Talmon, R., and H. T. Wu. “Latent common manifold learning with alternating diffusion: Analysis and applications.” Applied and Computational Harmonic Analysis 47, no. 3 (November 1, 2019): 848–92. https://doi.org/10.1016/j.acha.2017.12.006.
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  - Korolj, Anastasia, Hau-Tieng Wu, and Milica Radisic. “A healthy dose of chaos: Using fractal frameworks for engineering higher-fidelity biomedical systems..” Biomaterials 219 (October 2019). https://doi.org/10.1016/j.biomaterials.2019.119363.
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  - Alagapan, Sankaraleengam, Hae Won Shin, Flavio Fröhlich, and Hau-Tieng Wu. “Diffusion geometry approach to efficiently remove electrical stimulation artifacts in intracranial electroencephalography..” Journal of Neural Engineering 16, no. 3 (June 2019). https://doi.org/10.1088/1741-2552/aaf2ba.
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  - Lu, Y., H. T. Wu, and J. Malik. “Recycling cardiogenic artifacts in impedance pneumography.” Biomedical Signal Processing and Control 51 (May 1, 2019): 162–70. https://doi.org/10.1016/j.bspc.2019.02.027.
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  - Chen, Hsing-Yu, Heng-Chih Pan, Yung-Chang Chen, Yu-Chun Chen, Yi-Hsuan Lin, Sien-Hung Yang, Jiun-Liang Chen, and Hau-Tieng Wu. “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). https://doi.org/10.1186/s12906-019-2491-y.
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  - Zhang, J. T., M. Y. Cheng, H. T. Wu, and B. Zhou. “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. https://doi.org/10.1016/j.csda.2018.05.004.
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  - Tan, Chunyu, Liming Zhang, and Hau-Tieng Wu. “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): 672–82. https://doi.org/10.1109/jbhi.2018.2817192.
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  - Chang, C. H., Y. L. Fang, Y. J. Wang, H. T. Wu, and Y. T. Lin. “Differentiation of skin incision and laparoscopic trocar insertion via quantifying transient bradycardia measured by electrocardiogram.” Journal of Clinical Monitoring and Computing, January 1, 2019. https://doi.org/10.1007/s10877-019-00378-w.
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  - Katz, O., R. Talmon, Y. L. Lo, and H. T. Wu. “Alternating diffusion maps for multimodal data fusion.” Information Fusion 45 (January 1, 2019): 346–60. https://doi.org/10.1016/j.inffus.2018.01.007.
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  - Lin, Yu-Ting, Yu-Lun Lo, Chen-Yun Lin, Martin G. Frasch, and Hau-Tieng Wu. “Unexpected sawtooth artifact in beat-to-beat pulse transit time measured from patient monitor data..” Plos One 14, no. 9 (January 2019). https://doi.org/10.1371/journal.pone.0221319.
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  - Lo, Y. L., H. T. Wu, Y. T. Lin, H. P. Kuo, and T. Y. Lin. “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. https://doi.org/10.1007/s10877-019-00269-0.
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  - Shnitzer, T., R. R. Lederman, G. R. Liu, R. Talmon, and H. T. Wu. “Diffusion operators for multimodal data analysis.” Handbook of Numerical Analysis, January 1, 2019. https://doi.org/10.1016/bs.hna.2019.07.008.
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  - Lin, C. Y., and H. T. Wu. “Embeddings of Riemannian manifolds with finite eigenvector fields of connection Laplacian.” Calculus of Variations and Partial Differential Equations 57, no. 5 (October 1, 2018). https://doi.org/10.1007/s00526-018-1401-3.
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  - Escalona-Vargas, Diana, Hau-Tieng Wu, Martin G. Frasch, and Hari Eswaran. “A Comparison of Five Algorithms for Fetal Magnetocardiography Signal Extraction..” Cardiovascular Engineering and Technology 9, no. 3 (September 2018): 483–87. https://doi.org/10.1007/s13239-018-0351-4.
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  - Malik, John, Yu-Lun Lo, and Hau-Tieng Wu. “Sleep-wake classification via quantifying heart rate variability by convolutional neural network..” Physiological Measurement 39, no. 8 (August 20, 2018). https://doi.org/10.1088/1361-6579/aad5a9.
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  - Wu, H. T., J. C. Wu, P. C. Huang, T. Y. Lin, T. Y. Wang, Y. H. Huang, and Y. L. Lo. “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). https://doi.org/10.3389/fphys.2018.00723.
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  - Wu, Hau-Tieng, and Yi-Wen Liu. “Analyzing transient-evoked otoacoustic emissions by concentration of frequency and time..” The Journal of the Acoustical Society of America 144, no. 1 (July 2018). https://doi.org/10.1121/1.5047749.
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  - Wu, Hau-Tieng, and Elsayed Z. Soliman. “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). https://doi.org/10.1186/s12938-018-0490-8.
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  - Lin, C. Y., L. Su, and H. T. Wu. “Wave-Shape Function Analysis: When Cepstrum Meets Time–Frequency Analysis.” Journal of Fourier Analysis and Applications 24, no. 2 (April 1, 2018): 451–505. https://doi.org/10.1007/s00041-017-9523-0.
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  - Shen, C., M. G. Frasch, H. T. Wu, C. L. Herry, M. Cao, A. Desrochers, G. Fecteau, and P. Burns. “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). https://doi.org/10.1088/1361-6579/aaaaa4.
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  - Frasch, M. G., S. M. Lobmaier, T. Stampalija, P. Desplats, M. E. Pallarés, V. Pastor, M. A. Brocco, et al. “Non-invasive biomarkers of fetal brain development reflecting prenatal stress: An integrative multi-scale multi-species perspective on data collection and analysis.” Neuroscience and Biobehavioral Reviews, January 1, 2018. https://doi.org/10.1016/j.neubiorev.2018.05.026.
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  - Kowalski, M., A. Meynard, and H. T. Wu. “Convex Optimization approach to signals with fast varying instantaneous frequency.” Applied and Computational Harmonic Analysis 44, no. 1 (January 1, 2018): 89–122. https://doi.org/10.1016/j.acha.2016.03.008.
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  - Wu, H. T., and N. Wu. “Think globally, fit locally under the manifold setup: Asymptotic analysis of locally linear embedding.” Annals of Statistics 46, no. 6B (January 1, 2018): 3805–37. https://doi.org/10.1214/17-AOS1676.
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  - Wu, Han-Kuei, Yu-Shien Ko, Yu-Sheng Lin, Hau-Tieng Wu, Tung-Hu Tsai, and Hen-Hong Chang. “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). https://doi.org/10.1016/j.ctim.2017.09.004.
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  - Lin, Y. Y., H. T. Wu, C. A. Hsu, P. C. Huang, Y. H. Huang, and Y. L. Lo. “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): 1533–45. https://doi.org/10.1109/JBHI.2016.2636778.
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  - Lin, Y., H. Wu, Z. Yang, and Q. Lin. “Erratum: Validation of the Name Paraphlomis hispida (Lamiaceae) (Novon (2017) 25 (436-437) DOI: 10.3417/D-16-00022).” Novon 26, no. 2 (November 1, 2017). https://doi.org/10.3417/2018296.
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  - Chao, Yi-Sheng, Hau-Tieng Wu, Marco Scutari, Tai-Shen Chen, Chao-Jung Wu, Madeleine Durand, and Antoine Boivin. “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). https://doi.org/10.1186/s12913-017-2496-5.
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  - Lin, Ting-Yu, Yueh-Fu Fang, Shih-Hao Huang, Tsai-Yu Wang, Chih-Hsi Kuo, Hau-Tieng Wu, Han-Pin Kuo, and Yu-Lun Lo. “Capnography monitoring the hypoventilation during the induction of bronchoscopic sedation: A randomized controlled trial..” Scientific Reports 7, no. 1 (August 17, 2017). https://doi.org/10.1038/s41598-017-09082-8.
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  - Georgiou, A. S., J. M. Bello-Rivas, C. W. Gear, H. T. Wu, E. Chiavazzo, and I. G. Kevrekidis. “An exploration algorithm for stochastic simulators driven by energy gradients.” Entropy 19, no. 7 (July 1, 2017). https://doi.org/10.3390/e19070294.
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  - Malik, John, Neil Reed, Chun-Li Wang, and Hau-Tieng Wu. “Single-lead f-wave extraction using diffusion geometry..” Physiological Measurement 38, no. 7 (June 22, 2017): 1310–34. https://doi.org/10.1088/1361-6579/aa707c.
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  - Sheu, Yae-Lin, Liang-Yan Hsu, Pi-Tai Chou, and Hau-Tieng Wu. “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): 231–45. https://doi.org/10.1007/s41060-017-0053-2.
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  - Herry, Christophe L., Martin Frasch, Andrew Je Seely, and Hau-Tieng Wu. “Heart beat classification from single-lead ECG using the synchrosqueezing transform..” Physiological Measurement 38, no. 2 (February 2017): 171–87. https://doi.org/10.1088/1361-6579/aa5070.
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  - Wu, Han-Kuei, Yu-Shien Ko, Yu-Sheng Lin, Hau-Tieng Wu, Tung-Hu Tsai, and Hen-Hong Chang. “The correlation between pulse diagnosis and constitution identification in traditional Chinese medicine..” Complementary Therapies in Medicine 30 (February 2017): 107–12. https://doi.org/10.1016/j.ctim.2016.12.005.
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  - Wu, H. T. “Embedding Riemannian manifolds by the heat kernel of the connection Laplacian.” Advances in Mathematics 304 (January 2, 2017): 1055–79. https://doi.org/10.1016/j.aim.2016.05.023.
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  - Cicone, Antonio, and Hau-Tieng Wu. “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). https://doi.org/10.3389/fphys.2017.00701.
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  - Coifman, R. R., S. Steinerberger, and H. T. Wu. “Carrier frequencies, holomorphy. And unwinding.” Siam Journal on Mathematical Analysis 49, no. 6 (January 1, 2017): 4838–64. https://doi.org/10.1137/16M1081087.
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  - Frasch, Martin G., Geraldine B. Boylan, Hau-Tieng Wu, and Declan Devane. “Commentary: Computerised interpretation of fetal heart rate during labour (INFANT): a randomised controlled trial..” Frontiers in Physiology 8 (January 2017). https://doi.org/10.3389/fphys.2017.00721.
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  - Li, Ruilin, Martin G. Frasch, and Hau-Tieng Wu. “Efficient Fetal-Maternal ECG Signal Separation from Two Channel Maternal Abdominal ECG via Diffusion-Based Channel Selection..” Frontiers in Physiology 8 (January 2017). https://doi.org/10.3389/fphys.2017.00277.
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  - Lin, Yu-Ting, and Hau-Tieng Wu. “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): 145–54. https://doi.org/10.1109/tbme.2016.2549048.
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  - Liu, Wen-Te, Hau-Tieng Wu, Jer-Nan Juang, Adam Wisniewski, Hsin-Chien Lee, Dean Wu, and Yu-Lun Lo. “Prediction of the severity of obstructive sleep apnea by anthropometric features via support vector machine..” Plos One 12, no. 5 (January 2017). https://doi.org/10.1371/journal.pone.0176991.
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  - Singer, A., and H. T. Wu. “Spectral convergence of the connection Laplacian from random samples.” Information and Inference 6, no. 1 (January 1, 2017): 58–123. https://doi.org/10.1093/imaiai/iaw016.
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  - Wu, Cheng-Ham, Tzung-Dau Wang, Chia-Hung Hsieh, Shih-Hung Huang, Jong-Wei Lin, Szu-Chun Hsu, Hau-Tieng Wu, Yao-Ming Wu, and Tzu-Ming Liu. “Imaging Cytometry of Human Leukocytes with Third Harmonic Generation Microscopy..” Scientific Reports 6 (November 15, 2016). https://doi.org/10.1038/srep37210.
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  - Marchesini, S., Y. C. Tu, and H. T. Wu. “Alternating projection, ptychographic imaging and phase synchronization.” Applied and Computational Harmonic Analysis 41, no. 3 (November 1, 2016): 815–51. https://doi.org/10.1016/j.acha.2015.06.005.
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  - Lin, Yu-Ting, Patrick Flandrin, and Hau-Tieng Wu. “When Interpolation-Induced Reflection Artifact Meets Time-Frequency Analysis..” Ieee Transactions on Bio Medical Engineering 63, no. 10 (October 2016): 2133–41. https://doi.org/10.1109/tbme.2015.2510580.
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  - Wu, Hau-Tieng, Gregory F. Lewis, Maria I. Davila, Ingrid Daubechies, and Stephen W. Porges. “Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform..” Methods of Information in Medicine 55, no. 5 (October 2016): 463–72. https://doi.org/10.3414/me16-01-0026.
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  - O’Neal, Wesley T., Yi Grace Wang, Hau-Tieng Wu, Zhu-Ming Zhang, Yabing Li, Larisa G. Tereshchenko, E Harvey Estes, Ingrid Daubechies, and Elsayed Z. Soliman. “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): 811–15. https://doi.org/10.1016/j.amjcard.2016.06.047.
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  - Chui, C. K., Y. T. Lin, and H. T. Wu. “Real-Time dynamics acquisition from irregular samples-With application to anesthesia evaluation.” Analysis and Applications 14, no. 4 (July 1, 2016): 537–90. https://doi.org/10.1142/S0219530515500165.
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  - Daubechies, Ingrid, Yi Grace Wang, and Hau-tieng Wu. “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). https://doi.org/10.1098/rsta.2015.0193.
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  - El Karoui, N., and H. T. Wu. “Graph connection Laplacian methods can be made robust to noise.” Annals of Statistics 44, no. 1 (February 1, 2016): 346–72. https://doi.org/10.1214/14-AOS1275.
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  - Herry, Christophe L., Marina Cortes, Hau-Tieng Wu, Lucien D. Durosier, Mingju Cao, Patrick Burns, André Desrochers, Gilles Fecteau, Andrew J. E. Seely, and Martin G. Frasch. “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). https://doi.org/10.1371/journal.pone.0153515.
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  - Wu, Hau-Tieng, Han-Kuei Wu, Chun-Li Wang, Yueh-Lung Yang, Wen-Hsiang Wu, Tung-Hu Tsai, and Hen-Hong Chang. “Modeling the Pulse Signal by Wave-Shape Function and Analyzing by Synchrosqueezing Transform..” Plos One 11, no. 6 (January 2016). https://doi.org/10.1371/journal.pone.0157135.
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  - Vatter, T., H. T. Wu, V. Chavez-Demoulin, and B. Yu. “Non-parametric estimation of intraday spot volatility: Disentangling instantaneous trend and seasonality.” Econometrics 3, no. 4 (December 1, 2015): 864–87. https://doi.org/10.3390/econometrics3040864.
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  - Sheu, Yae-Lin, Hau-Tieng Wu, and Liang-Yan Hsu. “Exploring laser-driven quantum phenomena from a time-frequency analysis perspective: a comprehensive study..” Optics Express 23, no. 23 (November 2015): 30459–82. https://doi.org/10.1364/oe.23.030459.
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  - Wu, Hau-Tieng, Ronen Talmon, and Yu-Lun Lo. “Assess sleep stage by modern signal processing techniques..” Ieee Transactions on Bio Medical Engineering 62, no. 4 (April 2015): 1159–68. https://doi.org/10.1109/tbme.2014.2375292.
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  - Wu, H. T., F. Baudin, M. G. Frasch, and G. Emeriaud. “Respiratory variability during NAVA ventilation in children: Authors' reply.” Frontiers in Pediatrics 3, no. FEB (February 1, 2015). https://doi.org/10.3389/fped.2015.00013.
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  - Karoui, N. E., and H. T. Wu. “Graph connection Laplacian and random matrices with random blocks.” Information and Inference 4, no. 1 (January 1, 2015): 1–42. https://doi.org/10.1093/imaiai/iav001.
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  - Wang, Yi Grace, Hau-Tieng Wu, Ingrid Daubechies, Yabing Li, E Harvey Estes, and Elsayed Z. Soliman. “Automated J wave detection from digital 12-lead electrocardiogram..” Journal of Electrocardiology 48, no. 1 (January 2015): 21–28. https://doi.org/10.1016/j.jelectrocard.2014.10.006.
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  - Baudin, F., H. T. Wu, A. Bordessoule, J. Beck, P. Jouvet, M. G. Frasch, and G. Emeriaud. “Impact of ventilatory modes on the breathing variability in mechanically ventilated infants.” Frontiers in Pediatrics 2, no. NOV (November 1, 2014). https://doi.org/10.3389/fped.2014.00132.
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  - Sheu, Y. L., L. Y. Hsu, H. T. Wu, P. C. Li, and S. I. Chu. “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). https://doi.org/10.1063/1.4903164.
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  - Wu, H. T., Y. H. Chan, Y. T. Lin, and Y. H. Yeh. “Using synchrosqueezing transform to discover breathing dynamics from ECG signals.” Applied and Computational Harmonic Analysis 36, no. 2 (March 1, 2014): 354–59. https://doi.org/10.1016/j.acha.2013.07.003.
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  - Wu, Hau-Tieng, Shu-Shua Hseu, Mauo-Ying Bien, Yu Ru Kou, and Ingrid Daubechies. “Evaluating physiological dynamics via synchrosqueezing: prediction of ventilator weaning..” Ieee Transactions on Bio Medical Engineering 61, no. 3 (March 2014): 736–44. https://doi.org/10.1109/tbme.2013.2288497.
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  - Lin, Y. -. T., H. -. T. Wu, J. Tsao, H. -. W. Yien, and S. -. S. Hseu. “Time-varying spectral analysis revealing differential effects of sevoflurane anaesthesia: non-rhythmic-to-rhythmic ratio..” Acta Anaesthesiologica Scandinavica 58, no. 2 (February 2014): 157–67. https://doi.org/10.1111/aas.12251.
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  - Chen, Y. C., M. Y. Cheng, and H. T. Wu. “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): 651–82. https://doi.org/10.1111/rssb.12039.
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  - Marchesini, S., A. Schirotzek, C. Yang, H. T. Wu, and F. Maia. “Augmented projections for ptychographic imaging.” Inverse Problems 29, no. 11 (November 1, 2013). https://doi.org/10.1088/0266-5611/29/11/115009.
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  - Wu, H. T. “Instantaneous frequency and wave shape functions (I).” Applied and Computational Harmonic Analysis 35, no. 2 (September 1, 2013): 181–99. https://doi.org/10.1016/j.acha.2012.08.008.
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  - Thakur, G., E. Brevdo, N. S. Fučkar, and H. T. Wu. “The Synchrosqueezing algorithm for time-varying spectral analysis: Robustness properties and new paleoclimate applications.” Signal Processing 93, no. 5 (May 1, 2013): 1079–94. https://doi.org/10.1016/j.sigpro.2012.11.029.
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  - Auger, F., P. Flandrin, Y. T. Lin, S. McLaughlin, S. Meignen, T. Oberlin, and H. T. Wu. “Time-frequency reassignment and synchrosqueezing: An overview.” Ieee Signal Processing Magazine 30, no. 6 (January 1, 2013): 32–41. https://doi.org/10.1109/MSP.2013.2265316.
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  - Cheng, M. Y., and H. T. Wu. “Local linear regression on manifolds and its geometric interpretation.” Journal of the American Statistical Association 108, no. 504 (January 1, 2013): 1421–34. https://doi.org/10.1080/01621459.2013.827984.
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  - Singer, A., and H. -. T. Wu. “Two-Dimensional Tomography from Noisy Projections Taken at Unknown Random Directions..” Siam Journal on Imaging Sciences 6, no. 1 (January 2013): 136–75. https://doi.org/10.1137/090764657.
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  - Wang, Yu-Ming, Hau-Tieng Wu, Eng-Yen Huang, Yu Ru Kou, and Shu-Shya Hseu. “Heart rate variability is associated with survival in patients with brain metastasis: a preliminary report..” Biomed Research International 2013 (January 2013). https://doi.org/10.1155/2013/503421.
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  - Singer, A., and H. -. T. Wu. “Vector Diffusion Maps and the Connection Laplacian..” Communications on Pure and Applied Mathematics 65, no. 8 (August 2012). https://doi.org/10.1002/cpa.21395.
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  - Thakur, G., and H. T. Wu. “Synchrosqueezing-based recovery of instantaneous frequency from nonuniform samples.” Siam Journal on Mathematical Analysis 43, no. 5 (November 21, 2011): 2078–95. https://doi.org/10.1137/100798818.
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  - Singer, Amit, and Hau-Tieng Wu. “Orientability and Diffusion Maps..” Applied and Computational Harmonic Analysis 31, no. 1 (July 2011): 44–58. https://doi.org/10.1016/j.acha.2010.10.001.
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  - Wu, H. T., P. Flandrin, and I. Daubechies. “One or two frequencies? the synchrosqueezing answers.” Advances in Adaptive Data Analysis 3, no. 1–2 (April 1, 2011): 29–39. https://doi.org/10.1142/S179353691100074X.
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  - Daubechies, Ingrid, Jianfeng Lu, and Hau-Tieng Wu. “Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool.” Applied and Computational Harmonic Analysis 30, no. 2 (March 2011): 243–61. https://doi.org/10.1016/j.acha.2010.08.002.
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  - Chung, Yu-Min, Chuan-Shen Hu, Yu-Lun Lo, and Hau-Tieng Wu. “A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification,” n.d.
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  - Ding, Xiucai, and Hau-Tieng Wu. “On the spectral property of kernel-based sensor fusion algorithms of high dimensional data,” n.d.
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  - Gavish, Matan, Ronen Talmon, Pei-Chun Su, and Hau-Tieng Wu. “Optimal Recovery of Mahalanobis Distance in High Dimension,” n.d.
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  - Li, Su, and Hau-tieng Wu. “Extract fetal ECG from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median,” n.d.
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  - Liu, Gi-Ren, Yu-Lun Lo, John Malik, Yuan-Chung Sheu, and Hau-tieng Wu. “Diffuse to fuse EEG spectra -- intrinsic geometry of sleep dynamics for classification,” n.d.
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  - Sourisseau, Matt, Hau-Tieng Wu, and Zhou Zhou. “Inference of synchrosqueezing transform -- toward a unified statistical analysis of nonlinear-type time-frequency analysis,” n.d.
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  - Sourisseau, Matt, Yu Guang Wang, Hau-Tieng Wu, and Wei-Hsuan Yu. “Optimization-based quasi-uniform spherical t-design and generalized multitaper for complex physiological time series,” n.d.
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  - Steinerberger, Stefan, and Hau-tieng Wu. “On Zeroes of Random Polynomials and an Application to Unwinding.” International Mathematics Research Notices, n.d. https://doi.org/10.1093/imrn/rnz096.
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  - Wu, H., and L. Su. “Fetal ECG extraction from single-lead abdominal ECG by de-shape short time Fourier transform and nonlocal median.” Front. Appl. Math. Stat., n.d.
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  - Zhang, Jin-Ting, Ming-Yen Cheng, Chi-Jen Tseng, and Hau-Tieng Wu. “A New Test for One-Way ANOVA with Functional Data and Application to Ischemic Heart Screening,” n.d.
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- Conference Papers
  - Liu, T. C., H. T. Wu, Y. H. Chen, T. Y. Fang, P. C. Wang, and Y. W. Liu. “Analysis of click-evoked otoacoustic emissions by concentration of frequency and time: Preliminary results from normal hearing and Ménière's disease ears.” In Aip Conference Proceedings, Vol. 1965, 2018. https://doi.org/10.1063/1.5038538.
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  - Wu, J. C., C. W. Wang, Y. H. Huang, H. T. Wu, P. C. Huang, and Y. L. Lo. “A Portable Monitoring System with Automatic Event Detection for Sleep Apnea Level-IV Evaluation.” In Proceedings Ieee International Symposium on Circuits and Systems, Vol. 2018-May, 2018. https://doi.org/10.1109/ISCAS.2018.8351221.
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  - Lederman, R. R., R. Talmon, H. T. Wu, Y. L. Lo, and R. R. Coifman. “Alternating diffusion for common manifold learning with application to sleep stage assessment.” In Icassp, Ieee International Conference on Acoustics, Speech and Signal Processing Proceedings, 2015-August:5758–62, 2015. https://doi.org/10.1109/ICASSP.2015.7179075.
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  - Lederman, Roy R., Ronen Talmon, Hau-tieng Wu, Yu-Lun Lo, Ronald R. Coifman, and Ronald R. IEEE. “ALTERNATING DIFFUSION FOR COMMON MANIFOLD LEARNING WITH APPLICATION TO SLEEP STAGE ASSESSMENT.” In 2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp), 5758–62, 2015.
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Teaching & Mentoring
Recent Courses
- MATH 230: Probability 2019
- MATH 393: Research Independent Study 2019
- MATH 493: Research Independent Study 2019
- MATH 531: Basic Analysis I 2019
- STA 230: Probability 2019
- STA 993: Independent Study 2019
- STA 790: Special Topics in Statistics 2018

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