Deep Neural Network Mathematics Framework

Mathematics/Machine Learning Research

Researching applications of harmonic analysis, topology, Riemannian geometry, and dynamical mean field theory towards developing a rigorous mathematical framework for deep neural networks. Refer to the following papers for background on applications of harmonic analysis towards this goal, along with details on my specific interest in this area: the scattering transform and its applications. For more information (and software!) on the scattering transform, visit the scattering home page.

My interest in applying Riemannian geometry and dynamical mean field theory towards this problem was piqued by the following papers:

More papers focused on developing a rigorous mathematical theory for deep neural networks:

If interested in hearing more about this research, feel free to contact me.