Data Science for Dynamical Systems (DS4DS)

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110 videos

Channel for our initiative on ‘Data Science for Dynamical Systems’ that addresses open education and science contributions in control engineering and machine...

Latest Videos

The Koopman Generator (DS4DS 8.13)

Extended DMD for the Koopman Generator (DS4DS 8.14)

kernel EDMD 2 - Main algorithm (DS4DS 8.11)

kernel EDMD 3 - Koopman eigenfunctions and modes (DS4DS 8.12)

kernel EDMD 1 - Motivation & kernel trick (DS4DS 8.10)

Dynamic Mode Decomposition as a special case of EDMD (DS4DS 8.09)

Extended Dynamic Mode Decomposition 4 - Koopman modes & Summary (DS4DS 8.08)

Extended Dynamic Mode Decomposition 3 - Koopman eigenfunctions (DS4DS 8.07)

Extended Dynamic Mode Decomposition 2 - The EDMD algorithm (DS4DS 8.06)

Extended Dynamic Mode Decomposition 1 - Finite dimensional subspaces (DS4DS 8.05)

Koopman Observable functions (DS4DS 8.04)

Koopman operator Spectral decomposition 2 (DS4DS 8.03)

Koopman operator Spectral decomposition 1 (DS4DS 8.02)

An introduction to the Koopman Operator (DS4DS 8.01)

Data-driven model predictive control using DMD (DS4DS 7.07)

Differential predictive control introduction (DS4DS 7.08)

Optimal control in discrete time (DS4DS 7.02)

Linear model predictive control (DS4DS 7.06)

Optimal control of linear systems 1 - Dynamics (DS4DS 7.03)

Optimal control - Introduction (DS4DS 7.01)

Optimal control of linear systems 2 - Objective function (DS4DS 7.04)

Optimal control of linear systems 3 - Example (DS4DS 7.05)

Differential predictive control global vs. local optima (DS4DS 7.09)

Overfitting and the bias-variance tradeoff (DS4DS 6.01)

Cross validation (DS4DS 6.02)

Sparsity and the L1 norm (DS4DS 6.03)

Subdifferentials of non-differentiable functions (DS4DS 6.04)

The LASSO algorithm for model selection (DS4DS 6.05)

Sparse identification of nonlinear dynamics (SINDy) (DS4DS 6.06)

Feature Engineering - Introduction (DS4DS 5.01)