Deep Learning and Computations of PDEs by Siddhartha Mishra
International Centre for Theoretical Sciences via YouTube
Build the Finance Skills That Lead to Promotions, Not Just Certificates
AI, Data Science & Cloud Certificates from Google, IBM & Meta
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