Dec 13 – 17, 2021
Africa/Johannesburg timezone

A tale of symmetry and duality in neural networks

Dec 14, 2021, 6:00 PM
30m

Speaker

Anindita Maiti (Northeastern University)

Description

We use a duality between parameter space and function space to study ensembles of Neural Networks. Symmetries of the NN action can be inferred from invariance of its correlation functions, computed in parameter space. This mechanism, which we call ‘symmetry-via-duality,’ utilizes a judicious choice of architecture and parameter distribution to ensure invariant network actions, even when their forms are unknown. Symmetries of input and output layers are analogous to space-time and internal symmetries, respectively, in quantum field theory. In simple experiments we find a correlation between symmetry breaking and training accuracy.

Primary author

Anindita Maiti (Northeastern University)

Presentation materials