12:00
From network dynamics to graph-based learning
Prof. Mauricio Barahona is Chair in Biomathematics and Director of the EPSRC Centre for Mathematics of Precision Healthcare at Imperial. He obtained his PhD at MIT, under Steve Strogatz, followed by a MEC Fellowship at Stanford and the Edison International Fellowship at Caltech. His research is in the development of mathematical and computational methods for the analysis of biological, social and engineering systems using ideas from graph theory, dynamical systems, stochastic processes, optimisation and machine learning.
Abstract
This talk will explore a series of topics and example applications at the interface of graph theory and dynamics, from synchronization and diffusion dynamics on networks, to graph-based data clustering, to graph convolutional neural networks. The underlying links are provided by concepts in spectral graph theory.
14:30
Aerodynamics inside and out: Bird respiration and flocking
Note: we would recommend to join the meeting using the Zoom client for best user experience.
Leif Ristroph is an Associate Professor of Mathematics at The Courant Institute, New York University.
'He is an experimental physicist and applied mathematician who specializes in fluid dynamics, with a particular emphasis on fluid-structure interactions as applied to biological and geophysical flows. His biophysical work includes studies of the aerodynamics and stabilization of insect flight as well as the hydrodynamics of schooling and flow-sensing in swimming fish. Relevant to geophysical flows, he is interested in problems ranging from instabilities of interfacial flows to the evolution of shape during fluid mechanical erosion.' (taken from https://math.nyu.edu/~ristroph/)
Selected Publications
L. Ristroph and S. Childress, "Stable hovering of a jellyfish-like flying machine", Journal of the Royal Society Interface 11, 20130992 (2014)
L. Ristroph, M. N.J. Moore, S. Childress, M.J. Shelley, and J. Zhang, "Sculpting of an erodible body by flowing water", Proceedings of the National Academy of Sciences 109, 19606 (2012)
B. Liu, L. Ristroph, A. Weathers, S. Childress, and J. Zhang, "Intrinsic stability of a body hovering in an oscillating airflow", Physical Review Letters 108, 068103 (2012)
Abstract
ife forms have devised impressive and subtle ways to exploit fluid flows. I’ll talk about birds as flying machines whose behaviors can give surprising insights into flow physics. One story explains how flocking interactions can help to bring flapping flyers into orderly formations. A second story involves the more subtle role of aerodynamics in the highly efficient breathing of birds, which is thought to be critical to their ability to fly.
Making ice sheet models scale properly
Abstract
My talk will attempt to capture the imperfect state of the art in high-resolution ice sheet modelling, aiming to expose the core performance-limiting issues. The essential equations for modeling ice flow in a changing climate will be presented, assuming no prior knowledge of the problem. These geophysical/climate problems are of both free-boundary and algebraic-equation-constrained character. Current-technology models usually solve non-linear Stokes equations, or approximations thereof, at every explicit time-step. Scale analysis shows why this current design paradigm is expensive, but building significantly faster high-resolution ice sheet models requires new techniques. I'll survey some recently-arrived tools, some near-term improvements, and sketch some new ideas.