--- Algorithmic Aspects of Data Science
Algorithmic Aspects of Data Science is a rapidly growing area in Theoretical Computer Science and Data Science. Over the past two decades, Data Science has sparked a technological revolution across a wide range of scientific and industrial fields. Despite its widespread application, the theoretical foundations underlying its success remain partially unexplored. In this context, the Algorithmic Aspects of Data Science aim to investigate fundamental problems in Data Science from a theoretical perspective, focusing on the development of efficient algorithms with rigorous theoretical guarantees.
My primary research topics in this area: Tensor Problems, Robust Statistics, Clustering, Differential Privacy.
The mathematical tools: Linear Algebra, High-Dimensional Probability/Statistics, Optimization Algorithms.
--- Collaboration with Prof. Joyce Liu
Prof. Joyce Liu’s lab (M2Lab) develops advanced machine learning methods for biomedical research, with a particular focus on multimodal modeling, diffusion models, contrastive learning, explainable AI, and longitudinal modeling. These methods are applied to large-scale biomedical datasets across diverse applications, including digital twins for emergency care, digital cells for cancer treatment selection, multimodal integration of spatial multiomics data to study tumor heterogeneity, and generative modeling for drug development. https://sites.google.com/view/joyliu-m2lab/home?authuser=0