Math @ Duke
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Publications [#373539] of Jianfeng Lu
Papers Published
- Agazzi, A; Lu, J; Mukherjee, S, Global optimality of Elman-type RNNs in the mean-field regime,
Proceedings of Machine Learning Research, vol. 202
(January, 2023),
pp. 196-227
(last updated on 2024/11/20)
Abstract: We analyze Elman-type Recurrent Reural Networks (RNNs) and their training in the mean-field regime. Specifically, we show convergence of gradient descent training dynamics of the RNN to the corresponding mean-field formulation in the large width limit. We also show that the fixed points of the limiting infinite-width dynamics are globally optimal, under some assumptions on the initialization of the weights. Our results establish optimality for feature-learning with wide RNNs in the mean-field regime.
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