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Dropout Reduces Underfitting (2303.01500v2)

Published 2 Mar 2023 in cs.LG, cs.AI, and cs.CV

Abstract: Introduced by Hinton et al. in 2012, dropout has stood the test of time as a regularizer for preventing overfitting in neural networks. In this study, we demonstrate that dropout can also mitigate underfitting when used at the start of training. During the early phase, we find dropout reduces the directional variance of gradients across mini-batches and helps align the mini-batch gradients with the entire dataset's gradient. This helps counteract the stochasticity of SGD and limit the influence of individual batches on model training. Our findings lead us to a solution for improving performance in underfitting models - early dropout: dropout is applied only during the initial phases of training, and turned off afterwards. Models equipped with early dropout achieve lower final training loss compared to their counterparts without dropout. Additionally, we explore a symmetric technique for regularizing overfitting models - late dropout, where dropout is not used in the early iterations and is only activated later in training. Experiments on ImageNet and various vision tasks demonstrate that our methods consistently improve generalization accuracy. Our results encourage more research on understanding regularization in deep learning and our methods can be useful tools for future neural network training, especially in the era of large data. Code is available at https://github.com/facebookresearch/dropout.

Citations (27)

Summary

  • The paper demonstrates that dropout not only prevents overfitting but also reduces underfitting by aligning mini-batch gradients with overall dataset directions during early training.
  • It introduces 'early dropout' and 'late dropout' techniques, with experimental improvements observed on models like ViT-T and Swin Transformers in small-model scenarios.
  • Results indicate that refined dropout schedules stabilize stochastic gradient descent updates and enhance training performance across diverse neural network architectures.

Analysis of Dropout in Mitigating Underfitting in Neural Networks

The paper "Dropout Reduces Underfitting" presents an in-depth exploration of dropout as a mechanism to not only prevent overfitting but also tackle underfitting in neural networks. The authors, Liu et al., propose novel variants termed "early dropout" and "late dropout" to optimize training performance in different model regimes.

Key Insights and Methodology

Dropout, originally introduced as a regularization technique, has found enduring success in preventing overfitting by randomly deactivating neurons during training. This paper re-evaluates dropout's role, focusing on its potential to reduce underfitting during the initial phases of training. The authors demonstrate that dropout can mitigate underfitting by stabilizing the directional variance of gradient updates. By aligning mini-batch gradient directions with the overarching dataset gradient, dropout can enhance stochastic optimization's efficacy, particularly in the neural network's formative training stages.

The paper introduces "early dropout," which activates dropout initially and then ceases its application as training progresses to better fit models and reduce underfitting. Conversely, "late dropout" is proposed for overfitting scenarios by delaying dropout application until later in training, thus enhancing model generalization. Experiments conducted on ImageNet alongside other vision tasks underscore the consistent improvements these methods yield over traditional dropout applications.

Experimental Results

Robust experimental evaluations on a range of models, including ViT-T and Swin Transformers, demonstrate that early dropout effectively reduces training losses and improves accuracy in underfitting scenarios. These results are particularly significant in small models and datasets where overfitting is not a primary concern. The authors detail variation in dropout schedules, including linear and constant dropout during initial training epochs, all showing improvement over baseline accuracy and training loss.

Moreover, the paper highlights dropout's effect on the consistency of mini-batch gradients, exploring the relationship between dropout, gradient norm, and error in alignment with entire dataset gradients. These analyses reveal that dropout reduces the stochastic gradient descent (SGD) induced randomness, leading to more stable and aligned learning paths especially beneficial during the early optimization phase.

Implications and Future Directions

This research provides theoretical insights into dropout's role in gradient variance reduction, establishing a foundation for further exploration of regularization methods. Practically, the proposed techniques promise enhanced training performance in large datasets typical of modern AI applications, where underfitting may increasingly pose a challenge given the vast scale of data against finite model capacity.

The applicability of early and late dropout across various architectures, coupled with hyper-parameter robustness, positions these techniques as valuable additions to the deep learning toolkit. Future investigations could extend beyond computer vision, exploring the utility of this approach in self-supervised learning or natural language processing, and further contextualizing dropout’s role within emerging neural network paradigms.

Ultimately, this paper by Liu et al. invites a reevaluation of dropout, advocating for its broader applicability and efficiencies in diverse model training regimes, setting the stage for innovative directions in neural network optimization.

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