Unit 1: Introduction to Dynamical Systems
Unit 2: Chaos Theory and Lyapunov Exponents
Unit 3: Traditional Estimation Methods & Limitations
Deep Learning for Lyapunov Exponent Estimation
Harness deep learning to estimate Lyapunov exponents, unlocking insights into the stability and predictability of complex dynamical systems.
Unit 1: Introduction to RNNs for Dynamical Systems
Unit 2: Training RNNs for Prediction
Unit 3: Challenges and Mitigation Strategies
Unit 1: Combining DL Models with Traditional Methods
Unit 2: Feature Extraction from DL Models
Unit 3: Uncertainty Quantification
Unit 1: Lyapunov Exponents in Finance
Unit 2: Climate Science Applications
Unit 3: Engineering Applications
Unit 4: Advanced Topics