Colby Fronk is a PhD student studying Scientific Artifical Intelligence and Scientific Computing in the Petzold research lab at UC Santa Barbara. His PhD research lies in the field of neural differential equations, where he develops neural network architectures and numerical methods tailored to neural networks to model scientific processes. Colby has a very broad interest in science and engineering. He works as a data scientist that helps the domain scientist analyze data and develop models for challenging scientific problems.
PhD in Chemical Engineering, 2024
University of California, Santa Barbara
BSc in Chemical Engineering, 2019
Rochester Institute of Technology
We develop and validate Bayesian inference methods for obtaining Bayesian uncertainties for the parameters in symbolic neural Ordinary Differential Equations.
We introduce the polynomial neural ODE, which is a deep polynomial neural network inside of the neural ODE framework. We demonstrate the capability of polynomial neural ODEs to predict outside of the training region, as well as to perform direct symbolic regression without using additional tools such as SINDy.