Physics ∩ ML Seminars |
Events During the Week of April 10th through April 17th, 2022
Monday, April 11th, 2022
- No events scheduled
Tuesday, April 12th, 2022
- No events scheduled
Wednesday, April 13th, 2022
- A duality connecting neural network and cosmological dynamics
- Time: 11:00 am - 12:15 pm
- Place: Chamberlin 5280 (Zoom link also available for online participants who signed up on our mailing list)
- Speaker: Sven Krippendorf, Ludwig Maximilian University
- Abstract: We demonstrate that the dynamics of neural networks trained with gradient descent and the dynamics of scalar fields in a flat, vacuum energy dominated Universe are structurally profoundly related. This duality provides the framework for synergies between these systems, to understand and explain neural network dynamics and new ways of simulating and describing early Universe models. Working in the continuous-time limit of neural networks, we analytically match the dynamics of the mean background and the dynamics of small perturbations around the mean field, highlighting potential differences in separate limits. We perform empirical tests of this analytic description and quantitatively show the dependence of the effective field theory parameters on hyperparameters of the neural network. As a result of this duality, the cosmological constant is matched inversely to the learning rate in the gradient descent update.
Thursday, April 14th, 2022
- No events scheduled
Friday, April 15th, 2022
- No events scheduled