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Bibliographic Details
Main Authors: Chen, Haotian, Kuzina, Anna, Esmaeili, Babak, Tomczak, Jakub M
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.06549
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author Chen, Haotian
Kuzina, Anna
Esmaeili, Babak
Tomczak, Jakub M
author_facet Chen, Haotian
Kuzina, Anna
Esmaeili, Babak
Tomczak, Jakub M
contents 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 modeling the uncertainty of the gradients. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_06549
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Variational Stochastic Gradient Descent for Deep Neural Networks
Chen, Haotian
Kuzina, Anna
Esmaeili, Babak
Tomczak, Jakub M
Machine 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 modeling the uncertainty of the gradients. 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.
title Variational Stochastic Gradient Descent for Deep Neural Networks
topic Machine Learning
url https://arxiv.org/abs/2404.06549