Supplementary materials: Constants of motion network

The last term in the loss function of COMET does not need the information from the dataset. I) is the Gaussian noise with standard deviation σ = 0 . This section contains the experiment details for cases tested in section 4. In section 4, there are 6 simple experiments performed to demonstrate the capability of COMET: (1) mass-spring, (2) 2D The description for each simulation case can be found below. This is the simplest case to test COMET's capability where Case 3: 2D damped pendulum. The training data were generated in a similar way as the previous case.