From medicine, for medicine.

Hau-tieng Wu, M.D., Ph.D. (吳浩榳)

I am an associate professor in Mathematics department and Department of Statistical Science at Duke University.

I am also an adjunct associate professor in Mathematics department at University of Toronto. 
I am from Kaohsiung, Taiwan.

Research Interest (Focus on Math + Medicine)

My research interests range from mathematical study to data analysis. I focus on analyzing high-dimensional/big/massive datasets by applying proper mathematical tools/theorems, including but not exclusively:
  • the analysis of massive/high dimensional datasets by applying differential geometry and algebraic topology;
  • the analysis of time series by applying harmonic analysis and random process;
  • the analysis of high dimensional time series and multi-modal datasets by applying diffusion geometry;
  • the mathematical and statistical analysis of the applied methods; 

My main application field is medicine. 
I have interest in different kind of medical datasets, mainly physiological waveform signals, like ECG, EEG, PPG, BP, Resp, etc, medical imaging, and questionnaire dataset. I have intimately worked on the following fields with clinicians, including but not exclusively:
  • Cardiology: ECG waveform analysis, f wave analysis, HRV analysis
  • Pulmonology: respiratory pattern dynamics, sleep dynamics analysis
  • Gynocology/Obstetrics: fetal ECG extraction, fetal HRV analysis, fetal distress prediction 
  • Anesthesiology: anesthetic depth analysis, noxious stimulation analysis, hemodynamics variation during surgery 
  • Neurology: EEG analysis and artifact removal
Collaboration from any medical facility is welcome. Please contact me directly via hauwu (at) math (dot) duke (dot) edu

Some of my research talks that were recorded and publicly available

FFT 2017, De-shape short time Fourier transform, wave-shape manifold, and medical applications


2018 Spring: STA790-02, Geometric Statistical Learning 

Academic activity


Ph.D., Mathematics, Princeton University, 2006-2011

        Thesis: Adaptive analysis of complex data sets [Download]        

        Advisor: Ingrid Daubechies

M.D., National Yang-Ming University, 1996-2003


hauwu (AT) math (dot) duke (dot) edu

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