34 citations · 65 across the 16 of their papers we have counts for
Showing cs.LGShow all
2 papers · 1 filter
cs.LG2025
Geometry and Optimization of Shallow Polynomial Networks
Yossi Arjevani, Joan Bruna, Joe Kileel +2
We study shallow neural networks with monomial activations and output dimension one. The function space for these models can be identified with a set of symmetric tensors with boun…
cs.LG2019★ 34 cited
On the Expressive Power of Deep Polynomial Neural Networks
Joe Kileel, Matthew Trager, Joan Bruna
We study deep neural networks with polynomial activations, particularly their expressive power. For a fixed architecture and activation degree, a polynomial neural network defines…