Machine Learning for Physical Systems · Lecture 12

World model lab

Keys: P presenter mode, S chart of the states

A world model predicts what happens next: networks learned a swinging pendulum from recordings, as numbers and as camera frames.

    Difference now
    Energy now, start = 1
    Drag the ball to choose the start, or use the arrow keys.
    1. From rest: up to which start angle can we trust it?
    2. Straight down, pushed with 6 rad/s: does it follow?
    3. Watch the energy: where does it rise?
    Start angle

    Angle over 20 s0°: hanging straight down.

    The angle of the true pendulum and of the learned model over 20 s

    Energy, relative to the startA damped pendulum only loses energy

    The energy of the true pendulum and of the learned model over 20 s, relative to the start

    State: angle and angular velocityClick to start anywhere.

    The state of the true pendulum and of the learned model: angle and angular velocity

    More options
    Rollout: speed of Play
    Pixels: speed of Play
    Start again

    Check your answer: the largest safe start

    The largest difference in the first 5 s for every start at rest
    How it is computed