Object oriented data analysis
Develop new methods for analyzing populations of data objects, such as graphs and trees.
Nonlinear latent structure analysis
Find a low-dimensional representation to facilitate the understanding of complex data.
Statistical analysis on tree-structured objects
Develop new methods and theories for analyzing tree-structured data, which possess both topological and geometric properties.
Functional dynamic modeling of neuron activities
Use parametric and nonparametric methods to model nonlinear dynamical systems that have point-process inputs and outputs.
Spatial and spatio-temporal modeling
Develop new analytical tools and theories for integrating spatial and temporal data to gain insight into various real-world applications.
Big data and statistical learning
Develop new methodology, computing algorithms, and inference tools for big data analysis with focus on data generative approach and deep learning techniques