Deep Equilibrium Models are Almost Equivalent to Not-so-deep Explicit Models for High-dimensional Gaussian Mixtures

Z Ling, L Li, Z Feng, Y Zhang, F Zhou, RC Qiu… - arXiv preprint arXiv …, 2024 - arxiv.org
Deep equilibrium models (DEQs), as a typical implicit neural network, have demonstrated
remarkable success on various tasks. There is, however, a lack of theoretical understanding …

Robust Learning in Bayesian Parallel Branching Graph Neural Networks: The Narrow Width Limit

Z Zhang, H Sompolinsky - arXiv preprint arXiv:2407.18807, 2024 - arxiv.org
The infinite width limit of random neural networks is known to result in Neural Networks as
Gaussian Process (NNGP)(Lee et al.[2018]), characterized by task-independent kernels. It is …