Deep Learning and Computations of PDEs by Siddhartha Mishra
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Intro
Partial Differential Equations (PDES)
Uncertainty Quantification
Supervised learning with Deep Neural networks
Supervised learning for high-d Parametric PDES
Refined Error Estimates
Training on Low-Discrepancy Sequences
PDE constrained Optimization
Tsunami in the Mediterranean sea
DL for Many-Query Problems: Further Issues
Operator Learning
DeepOnet Decomposition
Bounds on Reconstruction Error
Bounds on Encoding Error
Bounds on the Approximation Error
Out of Distribution Evaluations
Deep learning and High-dimensional PDES
Taught by
International Centre for Theoretical Sciences