High-dimensional Data Analysis

Datasets involving large-dimensional complex objects have become ubiquitous in modern data science and offer an array of new mathematical and computational challenges. In addition to the need for efficient numerical schemes that can scale up to databases made of large numbers of high-dimensional observations, it is also fundamental to take into account the particular structure (e.g. the geometry) of the underlying data space.

Our group brings together researchers with various backgrounds and interests but who share a common focus on developing new mathematical frameworks and numerical methods for the modeling and analysis of such data. Toward this goal, we aim to bridge concepts and ideas from the areas of statistics, machine learning, geometry and scientific computing. Our work is further motivated by various applications that include biomedical imaging, computational anatomy, agent-based systems or computer vision.

We also run the Data-Enabled Science Seminar as well as biweekly group meetings.

Members of High-dimensional Data Analysis Research Group
	AZENCOTT, ROBERT, Professor ("MSDS" Program Scientific Faculty Advisor) - Ph.D., University Paris 1, 1970 Office: 608 PGH Phone: x3489 Email ID: razencot , razencott@uh.edu Research Interests: Probability theory, Data Mining, Automatic learning, Image Analysis
	CHARON, NICOLAS, Assistant Professor - Ph.D., ENS Paris-Saclay, 2013 Office: 669 PGH Phone: x3489 Email ID: ncharon , ncharon@uh.edu Research Interests: Morphological shape analysis, geometric data science, applications to biomedical imaging and computational anatomy.
	LABATE, DEMETRIO, Professor - Ph.D., Georgia Institute of technology, 2000 Office: 694 PGH Phone: x3492 Email ID: dlabate , dlabate@uh.edu Research Interests: Harmonic analysis, signal and image processing, time-frequency analysis, wavelets
	MANG, ANDREAS, Associate Professor - Ph.D., University of Luebeck, 2013 Office: 614 PGH Phone: x7409 Email ID: amang , amang@uh.edu Research Interests: Parallel scientific computing, inverse problems, numerical optimization, medical image computing.
	NIU, YABO, Assistant Professor - Ph.D., Texas A & M University, 2019 Office: 615 PGH Phone: Email ID: yniu4 , yniu4 @uh.edu Research Interests: Statistics, applied probability, and data science in population health.
	PUELZ, CHARLES, Assistant Professor - Ph.D., Rice University, 2017 Office: 641 PGH Phone: x3493 Email ID: cepuelz , cepuelz@uh.edu Research Interests: Computational mathematics and physiology, with a focus on the cardiovascular system.
	ZHONG, MING, Assistant Professor - Ph.D., University of Maryland, College Park, 2016 Office: 636 PGH Phone: x3492 Email ID: mzhong , mzhong4@uh.edu Research Interests: Scientific Machine Learning, Inverse Problems, Probabilistic Numerics, Numerical Methods, Modeling and Simulation.