Welcome to the Topology, Geometry and Statistics lab led by professors Lizhen Lin and Dong Quan Nguyen!

The goal of our lab is to study broad statistical and machine learning problems arising in data science with main applications in biomedical fields. One of our key insights are to employ geometric and topological tools such as persistent homology from algebraic topology for mining complex data arising in medical imaging, neuroscience, network analysis, DNA sequence analysis and so on. Some of our recent work have been focusing on using persistent homology for DNA sequence analysis by viewing DNA sequences as topological and geometric objects such as persistence diagrams, persistence landscapes and persistence images, which we call **Persistence DNA Analysis (Per DNA analysis). **

Our research can be summarized in the following four general categories.

We gratefully acknowledge the funding support from NSF DMS program, NSF IIS program, Army's Research Office and DARPA.