This course covers the learning outcomes and goals of approximating geometric interface evolution using the phase field method and neural networks. It teaches skills such as data processing, neural network training, and numerical experimentation. The teaching method involves a seminar-style talk with examples, applications, and a quantitative comparison. The intended audience includes professionals and researchers in image processing, data science, material sciences, and biology.
Mean Curvature Flow, Neural Networks, and Applications
Society for Industrial and Applied Mathematics via YouTube
Overview
Syllabus
Introduction
Examples
Application
Data Database
Diffusion Neuron
Motivation
Quantitative Comparison
Multifacement Character Flow
Numerical Experiment
Simulation
Conclusion
Questions
Taught by
Society for Industrial and Applied Mathematics