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Gradients as a Measure of Uncertainty in Neural Networks (2008.08030v2)

Published 18 Aug 2020 in cs.CV

Abstract: Despite tremendous success of modern neural networks, they are known to be overconfident even when the model encounters inputs with unfamiliar conditions. Detecting such inputs is vital to preventing models from making naive predictions that may jeopardize real-world applications of neural networks. In this paper, we address the challenging problem of devising a simple yet effective measure of uncertainty in deep neural networks. Specifically, we propose to utilize backpropagated gradients to quantify the uncertainty of trained models. Gradients depict the required amount of change for a model to properly represent given inputs, thus providing a valuable insight into how familiar and certain the model is regarding the inputs. We demonstrate the effectiveness of gradients as a measure of model uncertainty in applications of detecting unfamiliar inputs, including out-of-distribution and corrupted samples. We show that our gradient-based method outperforms state-of-the-art methods by up to 4.8% of AUROC score in out-of-distribution detection and 35.7% in corrupted input detection.

Citations (52)

Summary

  • The paper demonstrates that backpropagated gradient magnitudes effectively indicate model uncertainty, addressing overconfidence in out-of-distribution scenarios.
  • The authors use confounding labels and standard backpropagation to compute gradients, offering a computationally efficient method without extra calibration.
  • Experimental results across datasets reveal up to a 9% improvement in OOD detection and high AUROC scores for recognizing corrupted inputs.

Exploring Gradients as Indicators of Neural Network Uncertainty

In the paper "Gradients as a Measure of Uncertainty in Neural Networks," Jinsol Lee and Ghassan AlRegib propose a novel approach to quantify uncertainty in neural networks through the use of backpropagated gradients. This work directly addresses the challenge of neural networks being overconfident while encountering unfamiliar inputs, which can impede their deployment in real-world applications.

Key Contributions and Methodology

The primary contribution of the paper lies in introducing gradients as a quantitative measure for model uncertainty, mainly focusing on out-of-distribution (OOD) detection and corrupted input detection. The authors draw upon the intuition that the magnitude of backpropagated gradients can indicate the degree of model familiarity with a given input. If significant adjustments to model parameters are suggested by high gradient magnitudes, this could imply that the input is unfamiliar compared to what the model has learned during training.

The authors describe the process of gradient generation using confounding labels. This approach involves backpropagating loss between model predictions and these specially constructed labels—designed to be different from the standard labels on which the model was originally trained. The method is computationally efficient, only requiring basic backpropagation without additional pre-processing or calibration steps.

Experimental Results

Lee and AlRegib demonstrate the efficacy of their approach through rigorous experiments across multiple datasets, including CIFAR-10, SVHN, TinyImageNet, LSUN, and CURE-TSR. In the context of OOD detection, their gradient-based method achieves up to a 9% improvement in performance over other state-of-the-art methods, such as ODIN and Mahalanobis metric (without pre-processing or feature ensemble). The results are particularly promising in scenarios with significant complexity differences between in-distribution and OOD datasets.

Furthermore, the proposed technique shows superior performance in detecting corrupted inputs across different datasets, such as CIFAR-10-C and CURE-TSR. The method consistently yields high AUROC scores, indicating strong discriminative power, even at subtle levels of corruption.

Implications and Future Directions

The introduction of gradients as a measure of uncertainty has broad implications for the development of robust neural networks. Using gradients not only provides theoretical insights into model behavior across the space of parameters but also offers a practical tool for enhancing model reliability in deployment scenarios. This method does not require calibration or intricate preprocessing steps, making it a viable option for integration into existing deep learning pipelines.

Looking forward, the exploration of gradients could be extended to more complex models or multi-modal datasets. There might also be opportunities to refine the gradient computation techniques further, optimizing for scenarios where computational efficiency is paramount. Another interesting avenue for future research is to explore the theoretical underpinnings of why the proposed confounding label strategy effectively produces gradients correlating with model uncertainty, which could inspire novel architectures leveraging this insight.

In conclusion, the work by Lee and AlRegib provides compelling evidence supporting the use of gradients as indicators of model uncertainty, paving the way for advancements in the reliable deployment of deep learning systems.

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