2週內演講

Colloquium, 國立陽明交通大學應用數學系 吳金典教授 Thursday, June 1, 15:10—16:00 數學系3174 Title: UAVs Detection and Tracking by Features-Enhanced Yolo and Kalman Filtering Abstract: Unmanned Aerial Vehicles defense becomes a hot topic due to the ongoing Ukraine-Russia War and China’s constant threats to Taiwan. Drones tracking and countermeasures inevitably play a crucial role in future warfare. In this talk, we propose a feature-enhanced Yolo network to improve the accuracy of small moving objects detection. Furthermore, to achieve real-time tracking, Kalman filter (KF) is applied to reduce the search window. A structure-preserving algorithm is proposed to estimate the covariance in KF. Furthermore, FPGA is employed to accelerating the computation of the covariance estimation. Experimental results will be shownto demonstrate the effectiveness of our approach.

Colloquium, 國立陽明交通大學應用數學系 王國仲教授 Thursday, June 1, 16:10—17:00 數學系3174 Title: Numerical Ranges of Foguel Operators and of the Powers of an Operator Abstract:演講摘要

Colloquium, Yen-Hsi Richard Tsai, Professor of Department of Mathematics and Oden Institute for Computational Engineering and Sciences The University of Texas at Austin Friday, June 2, 15:10—16:00 數學系3樓會議室 Title: Time-parallel Wave Propagation in Heterogeneous Media Aided by Deep Learning Abstract:We present a deep learning framework for learning multiscale wave propagation in heterogeneous media. The framework involves the construction of linear feed-forward networks (experts) that specialize in different media groups and a nonlinear "committee" network that gives an improved approximation of wave propagation in more complicated media. The framework is then applied to stabilize the "parareal" schemes of Lions, Maday, and Turinici, which are time-parallelization schemes for evolutionary problems.

Colloquium, 國立台灣大學數學系 林偉傑教授 Thursday, June 8, 16:10—17:00 數學系3174 Title: On the Geometry of the Growing Ball of First-Passage Percolation Abstract: In first-passage percolation, one puts i.i.d. nonnegative weights on the nearest-neighbor edges, and studies the induced (pseudo)metric. It is well-known that a metric ball of radius , after rescaled by 1/t, converges to a deterministic limit shape as t \to \infty. However, not too much is known about the ball for finite t. In this talk, we will talk about the geometry of a ball of radius t, by looking at its boundary. We will discuss the size of the boundary of a ball (based on an earlier joint work with M. Damron and J. Hanson), and, if time allows, we will mention some recent progress on holes in a ball (based on a recent joint work with M. Damron, J. Gold and X. Shen).