Variational Stochastic Gradient Descent for Deep Neural Networks

TMLR Paper3237 Authors

23 Aug 2024 (modified: 17 Sept 2024)Under review for TMLREveryoneRevisionsBibTeXCC BY 4.0
Abstract: Optimizing deep neural networks is one of the main tasks in successful deep learning. Current state-of-the-art optimizers are adaptive gradient-based optimization methods such as Adam. Recently, there has been an increasing interest in formulating gradient-based optimizers in a probabilistic framework for better estimation of gradients and modeling uncertainties. Here, we propose to combine both approaches, resulting in the Variational Stochastic Gradient Descent (VSGD) optimizer. We model gradient updates as a probabilistic model and utilize stochastic variational inference (SVI) to derive an efficient and effective update rule. Further, we show how our VSGD method relates to other adaptive gradient-based optimizers like Adam. Lastly, we carry out experiments on two image classification datasets and four deep neural network architectures, where we show that VSGD outperforms Adam and SGD.
Submission Length: Regular submission (no more than 12 pages of main content)
Assigned Action Editor: ~Markus_Heinonen1
Submission Number: 3237
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