Steve Brunton Courses

Dynamical Systems

Explore advanced techniques in dynamical systems analysis, including SINDy, Koopman theory, and deep learning applications for modeling complex nonlinear systems.

• YouTube
• 6 hours
• On-Demand
• Free Video

Data-Driven Dynamical Systems with Machine Learning

Explore modern machine learning methods for modeling complex dynamical systems from data. Learn data-driven control techniques and apply them to various fields of science and engineering.

• YouTube
• 15 hours
• On-Demand
• Free Video

Reinforcement Learning

Explora el Aprendizaje por Refuerzo, desde métodos básicos hasta redes neuronales y aplicaciones en dinámica de fluidos y control, en esta serie de 3.5 horas por Steve Brunton.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Sparsity and Compression

Explore sparsity and compression techniques, from compressed sensing to robust regression, with practical applications in image processing, signal analysis, and machine learning.

• YouTube
• 4 hours 30 minutes
• On-Demand
• Free Video

Intro to Data Science

Comprehensive introduction to data science and machine learning, covering key concepts, techniques, and applications. Includes hands-on examples in MATLAB and Python for practical implementation.

• YouTube
• 22 hours
• On-Demand
• Free Video

Complex Analysis - The Complex Logarithm, Log(z)

Explore the complex logarithm, its infinite values, branch cuts, and principle n-th roots. Gain insights into this inverse of the complex exponential and its unique properties.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Solving PDEs with the Laplace Transform - The Heat Equation

Learn to solve the heat equation using Laplace Transforms. Explore problem setup, transform application, ODE solutions, and boundary conditions. Gain insights into frequency and time domain solutions.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Reinforcement Learning Series - Overview of Methods

Comprehensive overview of reinforcement learning methods, covering model-based and model-free approaches, from dynamic programming to deep RL and policy gradient optimization.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Sparse Identification of Nonlinear Dynamics - Sparse Machine Learning Models 5 Years Later

Explore advancements in SINDy algorithm for discovering dynamical systems models from data, including challenges and applications in nonlinear systems and PDEs.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Turbulence - Reynolds Averaged Navier Stokes Equations - Momentum Equation

Explore the derivation of Reynolds averaged Navier-Stokes equations for turbulence modeling, focusing on the momentum equation and its applications in engineering fluid dynamics.

• YouTube
• 20 minutes
• On-Demand
• Free Video

Robust Principal Component Analysis

Explore robust PCA for handling corrupted data in fields like fluid mechanics and image processing. Learn its applications and importance in data-driven science and engineering.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Robust, Interpretable Statistical Models - Sparse Regression with the LASSO

Explore sparse regression and LASSO algorithm for building interpretable, robust models with minimal variables. Learn key concepts and applications in data science and machine learning.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Control Theory and COVID-19: Models

Explores modeling techniques for infectious diseases like COVID-19, emphasizing their importance in control efforts. Discusses imperfect models' utility and various resources for understanding disease spread.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Data-Driven Control - Balanced Proper Orthogonal Decomposition

Explore balancing proper orthogonal decomposition (BPOD) for approximating balanced truncation in high-dimensional systems, enhancing control strategies for complex data-driven applications.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Data-Driven Control - Linear System Identification

Explore linear system identification and model reduction techniques to create optimal reduced-order models from data for input-output dynamics analysis.

• YouTube
• 20 minutes
• On-Demand
• Free Video