For more information about this meeting, contact Fei Wang, Toan Nguyen, Stephanie Zerby, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov, Chun Liu.
|Title:||Diffusion Mapped Delay Coordinates (DMDC) and the geometry of dynamical data|
|Seminar:||Computational and Applied Mathematics Colloquium|
|Speaker:||Tyrus Berry, Penn State University|
|In this talk I will examine the geometry of attractor reconstruction and show how the induced geometry of time-delay coordinates increasingly biases the reconstruction toward the stable directions as delays are added. This bias can be exploited, using the diffusion maps approach to dimension reduction, to extract dynamics on desired time scales from high-dimensional observed data. I discuss the technique of Diffusion Mapped Delay Coordinates (DMDC) and its application to video data from experiments. Time permitting I will introduce Local Kernels as a generalization of the isotropic kernels used in Diffusion Maps which can access geometries other than the induced geometry.|
Room Reservation Information
|Date:||02 / 17 / 2014|
|Time:||02:30pm - 03:30pm|