Dynamical Systems

AI and Mathematics: Efficient Machine Learning Algorithms Inspired by Dynamical Systems, Complex Analysis, and Embedding Theory

Zhihong Xia, Chair Professor, Department of Mathematics, Southern University of Science and Technology

Nov 11, 10:30 - 11:30

B9 L3 R3120

AI machine learning PDEs Dynamical Systems scientific computing

This talk describes a novel machine learning algorithm, inspired by complex analysis and dynamical systems theory, that significantly improves efficiency in solving partial differential equations and scientific computing, while providing a theoretical framework for reconstructing complex, unknown systems from partial observational data.

Discovery of Low-Dimensional Generative Models for Complex Dynamical Systems

Juan Pablo Muñoz Díaz, Ph.D. Student, Applied Mathematics and Computational Science

Jul 9, 09:00 - 10:00

B2 L5 R5220; Zoom Meeting 95274807609

generative ai applied mathematics bioscience Dynamical Systems deep learning

This thesis presents a data-driven framework for discovering low-dimensional generative models of complex systems by using a library of normal-form equations to identify both observable dynamics and hidden control variables directly from time-series data.

Juan Pablo Muñoz Díaz

Ph.D. Student, Applied Mathematics and Computational Science

applied mathematics bioscience Dynamical Systems deep learning bifurcation theory

Majed Sofiani

Postdoctoral Research Fellow, Applied Mathematics and Computational Science

non-linear partial differential equations Dynamical Systems Liquid Crystals Ericksen-Leslie Model

Jan Haskovec

Jan Haskovec

Senior Research Scientist, Applied Mathematics and Computational Science

random process transportation networks Differential equations Dynamical Systems

Stochastic, partial and functional differential equations applied to study of dynamical processes in physics, biology and social sciences. Optimal transportation networks. Consensus formation with applications to engineering (swarm robotics).

Daria Bolbot

Ph.D. Student, Applied Mathematics and Computational Science

Applied Partial Differential Equations Dynamical Systems Dispersive-diffusive systems Nonlinear Elasticity

Short Bio Ms. Daria Bolbot is a Ph.D student in the AppliedPDE group of the Applied Mathematics and Computational Science program (AMCS) of CEMSE division at the King Abdullah University of Science and Technology, Saudi Arabia. She graduated from Moscow Institute of Physics and Technology in 2013 with the Master degree in Applied Mathematics and Applied Physics. Ms. Daria got a Bachelor degree from the same institute (MIPT) 2 years earlier - 2011. Her research interests are Nonlinear Partial Differential Equations, Hyperbolic Conservation Laws, Dispersive-Diffusive Shock Waves and Dynamical