Highlighted Research

Project 1: Incorporating LLM Embeddings for Variation Across the Human Genome

Overview of the LLM embedding framework for human genome variation

A systematic framework for generating variant-level embeddings across the entire human genome using large language models, built from curated annotations (FAVOR, ClinVar, GWAS Catalog) at scales up to ~9 billion possible variants. Applied to embedding-augmented polygenic risk score prediction on UK Biobank data.

Project 2: Deep Generative Models: Complexity, Dimensionality, and Approximation

1D-to-2D generator trajectory over training iterations

A theoretical study of how generative networks approximate distributions on manifolds, showing that arbitrarily low-dimensional latent inputs (below the manifold's intrinsic dimension) still suffice, at the cost of a super-exponential complexity trade-off between approximation error, dimensionality, and model size.

Project 3: Can Generative Artificial Intelligence Survive Data Contamination? Theoretical Guarantees under Contaminated Recursive Training

Diffusion model trained under contaminated recursive training (CRT) on MNIST at varying real-data fractions

A theoretical analysis of generative models trained recursively on data contaminated by earlier model-generated outputs, establishing guarantees on when and how such training remains stable versus degrades (model collapse).