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Monday, October 28, 2024

Posted September 26, 2024
Last modified October 25, 2024

Applied Analysis Seminar Questions or comments?

3:30 pm Lockett 233

Matias Delgadino, University of Texas at Austin
Generative Adversarial Networks: Dynamics

Generative Adversarial Networks (GANs) was one of the first Machine Learning algorithms to be able to generate remarkably realistic synthetic images. In this presentation, we delve into the mechanics of the GAN algorithm and its profound relationship with optimal transport theory. Through a detailed exploration, we illuminate how GAN approximates a system of PDE, particularly evident in shallow network architectures. Furthermore, we investigate known pathological behaviors such as mode collapse and failure to converge, and elucidate their connections to the underlying PDE framework through an illustrative example.

Monday, November 18, 2024

Posted September 11, 2024
Last modified October 25, 2024

Applied Analysis Seminar Questions or comments?

3:30 pm Lockett 233

Michael Novack, Louisiana State University
TBA

Monday, December 2, 2024

Posted October 29, 2024
Last modified October 30, 2024

Applied Analysis Seminar Questions or comments?

3:30 pm Lockett 233

Alexander V. Kiselev, University of Bath
Abstract TBA (topic in applied scattering/spectral theory)

(Host: Stephen Shipman)