Composed of accomplished research fellows and motivated graduate students, under the guidance of a dedicated faculty member.
Focus on the intersection of statistics and geometry in data science and explore its profound implications within the realm of authentic data science.
Forged strong affiliations with our colleagues around the world, including leading experts in geometry, statistics, and various scientific disciplines.
Selected Projects
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Principal Flows
Curves on the manifold serve as an analogous of principal components.
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Manifold Fitting
Fit smooth low-dim manifolds from high-dim noisy data points.
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Principal Submanifolds
Multi-dimensional generalization of principal flows.
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Fixed Boundary Flows
Conditional extension of principal flows with fixed boundary points.
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Principal Boundary
Principal decision boundary on Riemannian manifolds.
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MFCGAN
Combination of manifold fitting with CycleGAN.
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scAMF
Single-Cell Analysis via Manifold Fitting.
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CellScope
Cellular analyzing tool via Manifold Fitting.
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Metabolic Biomarkers
Using manifold fitting to analysis metabolomic heterogeneity and disease risks in UK Biobank.
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Pancreatic Cancer
Using manifold fitting to analyze pancreatic cancer risk with UK Biobank.
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Missing Data
Analyze the effect of missing data in UK Biobank.