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Data Diversity as Implicit Regularization: How Does Diversity Shape the Weight Space of Deep Neural Networks?

Created by
  • Haebom

Author

Yang Ba, Michelle V. Mancenido, Rong Pan

Outline

This paper analyzes the mechanisms by which data augmentation improves the performance of deep neural networks using random matrix theory. We analyze the impact of increased data diversity on the spectral distribution of the weight space and compare data augmentation, dropout, and weight decay techniques. We reveal that data diversity alters the weight spectral distribution similarly to other regularization techniques, but exhibits a pattern more similar to that observed with dropout. Furthermore, based on these insights, we propose a metric to explain and compare the benefits of diversity achieved through traditional data augmentation and synthetic data.

Takeaways, Limitations

Takeaways:
The effect of data augmentation is theoretically analyzed using random matrix theory to elucidate its operating principle.
The effects of data augmentation, dropout, and weight decay are compared and analyzed from the common perspective of changes in the weight spectral distribution.
We present a new metric that can compare and quantify the effectiveness of various data augmentation techniques.
Limitations:
Since this study was analyzed based on random matrix theory, it may not fully reflect the complexity of actual data and models.
The generalization performance of the proposed indicator and its applicability to various model architectures and datasets require further verification.
The analysis results may be limited to specific types of data augmentation and normalization techniques.
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