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07/03/2023
Neural Hilbert Ladders: Multi-Layer Neural Networks in Function Space
The characterization of the functions spaces explored by neural networks...
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12/21/2022
A Non-Asymptotic Analysis of Oversmoothing in Graph Neural Networks
A central challenge of building more powerful Graph Neural Networks (GNN...
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10/28/2022
A Functional-Space Mean-Field Theory of Partially-Trained Three-Layer Neural Networks
To understand the training dynamics of neural networks (NNs), prior stud...
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04/22/2022
On Feature Learning in Neural Networks with Global Convergence Guarantees
We study the optimization of wide neural networks (NNs) via gradient flo...
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10/28/2020
On Graph Neural Networks versus Graph-Augmented MLPs
From the perspective of expressive power, this work compares multi-layer...
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08/21/2020
A Dynamical Central Limit Theorem for Shallow Neural Networks
Recent theoretical work has characterized the dynamics of wide shallow n...
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02/10/2020
Can graph neural networks count substructures?
The ability to detect and count certain substructures in graphs is impor...
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09/29/2019
Symplectic Recurrent Neural Networks
We propose Symplectic Recurrent Neural Networks (SRNNs) as learning algo...
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05/29/2019