Recent Advances in Stochastic Gradient Descent in Deep Learning

Author:

Tian Yingjie123,Zhang Yuqi4ORCID,Zhang Haibin5

Affiliation:

1. School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China

2. Research Center on Fictitious Economy and Data Science, Chinese Academy of Sciences, Beijing 100190, China

3. Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences, Beijing 100190, China

4. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

5. Beijing Institute for Scientific and Engineering Computing, Faculty of Science, Beijing University of Technology, Beijing 100124, China

Abstract

In the age of artificial intelligence, the best approach to handling huge amounts of data is a tremendously motivating and hard problem. Among machine learning models, stochastic gradient descent (SGD) is not only simple but also very effective. This study provides a detailed analysis of contemporary state-of-the-art deep learning applications, such as natural language processing (NLP), visual data processing, and voice and audio processing. Following that, this study introduces several versions of SGD and its variant, which are already in the PyTorch optimizer, including SGD, Adagrad, adadelta, RMSprop, Adam, AdamW, and so on. Finally, we propose theoretical conditions under which these methods are applicable and discover that there is still a gap between theoretical conditions under which the algorithms converge and practical applications, and how to bridge this gap is a question for the future.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Medicine

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5. Sun, R. (2019). Optimization for deep learning: Theory and algorithms. arXiv.

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