Research Projects

Study of the Algorithmic Topology of String-Averaging for Stochastic Gradient Methods with Applications to Supervised Machine Learning in Deep Neural Networks (2023-2024)

During this project, I proved the convergence of a variant of the ADAM optimization algorithm (called ADAMSA) under some assumptions.

Discrete Differential Geometry from a Singularity Theory view point (2022- 2023)

During this project, I successfully created singularity theory concepts for discrete plane curves and showed that analogous results from the 'smooth world' also hold in the 'discrete world'.