Physics ∩ ML Seminars |
Events During the Week of July 26th through August 2nd, 2020
Monday, July 27th, 2020
- No events scheduled
Tuesday, July 28th, 2020
- No events scheduled
Wednesday, July 29th, 2020
- Discovering Symbolic Models in Physical Systems using Deep Learning
- Time: 11:00 am - 12:00 pm
- Place: Please register for this online event:
- Speaker: Shirley Ho, Flatiron Institute
- Abstract: We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent representations when we train a GNN in a supervised setting, then we apply symbolic regression to components of the learned model to extract explicit physical relations. We find the correct known equations, including force laws and Hamiltonians, can be extracted from the neural network. We then apply our method to a non-trivial cosmology example—a detailed dark matter simulation—and discover a new analytic formula that can predict the concentration of dark matter from the mass distribution of nearby cosmic structures. The symbolic expressions extracted from the GNN using our technique also generalized to out-of-distribution-data better than the GNN itself. Our approach offers alternative directions for interpreting neural networks and discovering novel physical principles from the representations they learn.
- Host: Shiu
Thursday, July 30th, 2020
- No events scheduled
Friday, July 31st, 2020
- No events scheduled