![[OC] Physics equations and a neural network both lose a real double pendulum in under a second](https://preview.redd.it/9m9ellc5lpih1.png?auto=webp&s=534a0c3a8f023c183134b635e770047dbc02bf06)
[OC] Physics equations and a neural network both lose a real double pendulum in under a second
Source: IBM's Double Pendulum Chaotic Dataset, 21 runs and 378,099 marker positions tracked from high speed film, used under CDLA-Sharing 1.0. Tools: Python, NumPy, Matplotlib.
Black is the filmed tip. Red is the rigid body equations fitted to sixteen runs, blue is a small neural network trained on 287,768 frames of the same runs. Both start from the same measured state at time zero. The dotted lines mark where each drifts more than a tenth of an arm length from the real object, at 0.91 s and 0.50 s.
Write-up: https://chaotropy.substack.com/p/non-physical-intelligence-has-a-ceiling