Optimization-in-the-Loop AI for Energy and Climate - IPAM at UCLA
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Overview
Syllabus
Climate change warrants rapid action
Climate & energy problems involve physics, hard constraints, and decision-making
Machine learning methods struggle with physics, hard constraints, and decision-making
Optimization-in-the-loop ML
Talk outline
Overview: Differentiable optimization
Background: Deep learning
Differentiating through optimization problems
Follow-on work in differentiable optimization
Overview: Enforcing hard control constraints
Deep reinforcement learning vs. robust control
Differentiable projection onto stabilizing actions
Details: Finding a set of stabilizing actions Insight: Find a set of actions that are guaranteed to satisfy relevant Lyapunov stability criteria at a given state, even under worst-case conditions
Illustrative results: Synthetic NLDI system
Energy-efficient heating and cooling
Differentiable projection onto feasible actions
Results on realistic-scale building simulator
Summary: Enforcing hard control constraints
Overview: Incorporating downstream decision-making
Decision-cognizant demand forecasting
Decision-cognizant approach can dramatically improve generation scheduling outcomes
Approximating AC optimal power flow
Approximate robust power system optimization
Summary: Incorporating downstream decision-making
Taught by
Institute for Pure & Applied Mathematics (IPAM)