Date: July 9 – 26, 2021 (4 weeks)
Organized by: Tianyuan Mathematical Center in Northeast China and Jilin University China
Title: Control, Machine Learning and Numerics
Speaker: Prof. Dr. Enrique Zuazua
Affiliation: FAU Erlangen-Nürnberg, Germany
TOPICS OF THE COURSE
S01: Introduction to Control Theory (Fri. July 9, 2021)
S02: Introduction: Calculus of Variations, Controllability and Optimal Design (Sat. July 10, 2021)
S03: Introduction: Optimization and Perpectives (Wed. July 14, 2021)
S04: Finite-dimensional Control Systems (1) (Fri. July 16, 2021)
S05: Finite-dimensional Control Systems (2) and Gradient-descent methods (1) (Sat. July 17, 2021)
S06: Gradient-descent methods (2), Duality algorithms, and Controllability (1) (Mon. July 19, 2021)
S07: Controllability (2) (Tue. July 20, 2021)
S08: Neural transport equations and infinite-dimensional control systems (Wed. July 21, 2021)
S09: Wave equation control systems (Thu. July 22, 2021)
S10: Momentum Neural ODE and Wave equation with viscous damping (Fri. July 23, 2021)
S11: Heat and wave equations: Control systems and Turnpike principle (1) (Sat. July 24, 2021)
S12: Turnpike principle (2), Deep Neural and Collective-dynamics (Mon. July 26, 2021)
Slides
- Introduction
- Finite dimensional Control Systems
- Gradient-Descent Methods
- GD-Controllability
- Optimal Control approach
- Machine Learning, Controllability
- Non-linear Control
- Turnpike, Control and Machine Learning
- Waves Control
- Numerics of Control
- Collective Dynamics
Recordings/Videos:
(Recordings available courtesy National Tianyuan Mathematics Northeast Center)
Watch the complete course (12 sessions) below:
Watch on YouTube
Schedule of the course
You can watch these recordings separately -by week:
- Week 1. Fri. July 9, Sat. July 10
- Week 2. Wed. July 14, Fri. July 16, Sat. July 17
- Week 3. Mon. July 19, Tue. July 20, Wed. July 21, Thu. July 22, Fri. July 24
- Week 4. Mon. July 26
See official page of this summer course
Official poster of the event:
