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Regularizing Deep Neural Networks by Noise: Its Interpretation and Optimization (1710.05179v2)

Published 14 Oct 2017 in cs.LG and cs.CV

Abstract: Overfitting is one of the most critical challenges in deep neural networks, and there are various types of regularization methods to improve generalization performance. Injecting noises to hidden units during training, e.g., dropout, is known as a successful regularizer, but it is still not clear enough why such training techniques work well in practice and how we can maximize their benefit in the presence of two conflicting objectives---optimizing to true data distribution and preventing overfitting by regularization. This paper addresses the above issues by 1) interpreting that the conventional training methods with regularization by noise injection optimize the lower bound of the true objective and 2) proposing a technique to achieve a tighter lower bound using multiple noise samples per training example in a stochastic gradient descent iteration. We demonstrate the effectiveness of our idea in several computer vision applications.

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Authors (4)
  1. Hyeonwoo Noh (12 papers)
  2. Tackgeun You (5 papers)
  3. Jonghwan Mun (16 papers)
  4. Bohyung Han (86 papers)
Citations (188)

Summary

Regularizing Deep Neural Networks by Noise: Its Interpretation and Optimization

The paper "Regularizing Deep Neural Networks by Noise: Its Interpretation and Optimization" presents an insightful analysis of noise-based regularization techniques applied to deep neural networks, with an emphasis on understanding and improving dropout methodologies. The authors focus on two key aspects: the interpretation of noise injection during training, such as dropout, and the proposal of an enhanced optimization approach aimed at maximizing the benefits of such regularization techniques.

Interpretation of Noise-Based Regularization

The primary hypothesis put forth by the authors revolves around reconsidering the role of injected noise in deep learning models. Traditionally, noise injection, particularly through dropout, is seen as an effective regularizer improving generalization by mitigating overfitting. However, the theoretical basis for its effectiveness remains vague. Within this paper, noise-augmented hidden units are interpreted probabilistically as stochastic hidden states. This perspective aligns conventional noise-driven training with the framework for maximizing a variational lower bound on network likelihood, providing a novel theoretical underpinning.

Proposed Optimization via Stochastic Activations

To exploit this new interpretation, the authors introduce an optimization technique using multiple noise samples per training example in each stochastic gradient descent (SGD) iteration. Inspired by the importance weighted autoencoder framework, this technique recalibrates the lower bound used during training to be tighter. This adjustment allows better balancing between model fitting and regularization: it enables models to better fit true data distributions while maintaining robust generalization, particularly when employing dropout.

Experimental Validation and Results

The authors conduct rigorous experiments across various computer vision domains, using tasks such as image classification, visual question answering, image captioning, and action recognition to validate their approach. They integrate the proposed method into standard architectures like wide residual networks and two-stream networks, implementing it alongside well-known datasets like CIFAR and UCF-101. The experimental results demonstrate consistent performance improvements via the importance weighted stochastic gradient descent (IWSGD) method. Notably, in CIFAR datasets, models employing this method achieve accuracy near contemporary state-of-the-art performances, underscoring the significant efficiency gains offered by adopting this training strategy.

Implications and Future Directions

The practical implications of this research are profound, particularly in the efficient training of deep neural networks where dropout or noise-based regularization is crucial. By refining the theoretical understanding and practical implementation of these techniques, the paper underscores significant gains in terms of model robustness and efficiency.

Looking forward, this research opens avenues for extending the proposed methodologies beyond dropout to other forms of noise-based regularization strategies. Future work could involve translating this importance-weighted optimization framework to adaptive dropout or exploring its applicability in reinforcement learning settings where stochasticity plays a pivotal role. Furthermore, as neural networks continue to scale, these techniques can aid in optimizing computational resources while maximizing model performance—contributions that are increasingly important in advancing AI capabilities.

In summary, by bridging an essential theoretical gap and proposing a robust optimization strategy for noise-based regularization, this paper offers a critical contribution to the ongoing discourse in deep learning frameworks and their effective deployment.