My research broadly revolves around extending, specializing, and developing novel ML/AI methods for computational mechanics. My primary focus is data-driven physics-based modeling that utilizes approaches like Variational System Identification and PDE-constrained optimization. I apply these methods for inferring PDE models for complex physical phenomena, for instance, foldings during brain growth, deformation mechanics in soft matter (human tissue and ligaments), and migration and proliferation in biological cells. I also develop graph-based approaches for Machine Learning and NISQ (Noisy Intermediate Scale Quantum) computing. These methods are rooted in classical physics and mathematical analysis but simultaneously developed in concert with real-life experimental data.
COntact
Location
Ann Arbor
Methodologies
Artificial Intelligence / Bayesian Methods / Graph-Based Methods / Machine Learning / Mathematical and Statistical Modeling / Optimization
Applications
Biological Sciences / Complex Systems / Engineering / Physical Science