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Convergence of Smoothed Empirical Measures, with ML Applications by Dr. Kristjan Greenewald
Conference/Seminar
Abstract: Statistical distances, such as the KL divergence and Wasserstein distances, are powerful tools for measuring differences between probability distributions. Unfortunately, the sample complexity of estimating these distances often scales prohibitively poorly with increasing dimension. In this work, we study the convergence of the empirical measure smoothed by a Gaussian kernel to the true measure convolved with a Gaussian, as measured by various statistical distances.
Math & Stat Colloquium
Conference/Seminar
Christopher K.R.T. Jones from University of North Carolina in Chapel Hill, NC
Presentation on Research of Rate-Induced Tipping and Climate
Applied Mathematics Seminar: Solving and learning phase field models using the modified Physics Informed Neural Networks
Conference/Seminar
Speaker: Jia Zhao, Assistant Professor Department of Math & Statistics, USU
Abstract: Phase field models, including the Allen-Cahn type and Cahn- Hilliard type equations, have been widely used to investigate interfacial dynamic problems. Designing accurate, efficient, and stable numerical algorithms for solving the phase field models has been an active field for decades. In the meanwhile, developing reliable and physically consistent phase field models for applications in science and engineering have also been intensively investigated. In this talk, I will introduce some preliminary results on solving and learning phase field models using deep neural networks.
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