Forecasting Covid-19 Dynamics

This research project focuses on building diverse methods using data-driven machine learning techniques to improve forecasting of COVID-19 dynamics. In particular we are evaluating utility of topological predictors from satellite observations to model the current and future COVID-19 spatio-temporal progression and clinical severity of the disease.

Topological Data Analysis of Dynamic Networks

Our research focuses on constructing new nonparametric methods for anomaly detection on dynamic networks using the emerging tools of topological data analysis. In particular, we describe shapes of complex networks via analysis of simplicial complexes and then track fluctuations of the resulting topological signatures over time.

Evolutionary Computation

We develop formulae for updating parameters of sampling density functions via Geometric Algebra, Systems of ODE, Natural Gradients, Copulas, Bayesian Networks and Statistical Inference. Our current efforts aim to guide the parameter updating via modern strategies from Information Geometry, hence avoiding euclidean-space assumptions.

Innovative GDL models for anomaly detection

The ultimate goal of the project is to develop efficient, systematic, and reliable learning mechanisms for the onboard exploration by explicitly integrating both space and time dimensions into the knowledge representation at multiple spectral and spatial resolutions; using radiance data from NASA’s satellites, Topological and Geometric Machine Learning methods, and High-End Computing (HEC) systems.