%0 Conference Paper %1 pmlr-v202-agazzi23a %A Agazzi, Andrea %A Lu, Jianfeng %A Mukherjee, Sayan %B Proceedings of the 40th International Conference on Machine Learning %D 2023 %E Krause, Andreas %E Brunskill, Emma %E Cho, Kyunghyun %E Engelhardt, Barbara %E Sabato, Sivan %E Scarlett, Jonathan %I PMLR %K topic_mathfoundation Elman-type Optimality, mean-field regime {RNN}s, %P 196--227 %T Global optimality of Elman-type RNNs in the mean-field regime %U https://proceedings.mlr.press/v202/agazzi23a.html %V 202 %X We analyze Elman-type recurrent neural 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.

@inproceedings{pmlr-v202-agazzi23a, abstract = {We analyze Elman-type recurrent neural 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.}, added-at = {2024-11-12T11:59:42.000+0100}, author = {Agazzi, Andrea and Lu, Jianfeng and Mukherjee, Sayan}, biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/29f717b21aa9a7c6135b886650bd5aef8/scadsfct}, booktitle = {Proceedings of the 40th International Conference on Machine Learning}, editor = {Krause, Andreas and Brunskill, Emma and Cho, Kyunghyun and Engelhardt, Barbara and Sabato, Sivan and Scarlett, Jonathan}, interhash = {8c957a7614dc6abef74dcef42eaba307}, intrahash = {9f717b21aa9a7c6135b886650bd5aef8}, keywords = {topic_mathfoundation Elman-type Optimality, mean-field regime {RNN}s,}, month = {23--29 Jul}, pages = {196--227}, pdf = {https://proceedings.mlr.press/v202/agazzi23a/agazzi23a.pdf}, publisher = {PMLR}, series = {Proceedings of Machine Learning Research}, timestamp = {2024-11-28T17:41:33.000+0100}, title = {Global optimality of Elman-type {RNN}s in the mean-field regime}, url = {https://proceedings.mlr.press/v202/agazzi23a.html}, volume = 202, year = 2023 }