Forthcoming book: 'Mathematical Foundations of Deep Learning Models and Algorithms' (co-authored with Richard Sowers and Justin Sirignano), to be published by the American Mathematical Society (AMS)
Multiple submitted preprints in 2025, including:
- 'Global Convergence of Adjoint-Optimized Neural PDEs' (with Konstantin Riedl and Justin Sirignano)
- 'Mean-Field Analysis of Latent Variable Process Models on Dynamically Evolving Graphs with Feedback Effects' (with Ankan Ganguly and Daniel Sussman)
- 'Uniform attraction and exit problems for stochastic damped wave equations' (with Ioannis Gasteratos and Mickey Salins)
- 'Convergence Analysis of Real-time Recurrent Learning (RTRL) for a class of Recurrent Neural Networks' (with Samuel Chun-Hei Lam and Justin Sirignano)