🤖 AI Summary
Gradient-based explanation methods like SmoothGrad rely on manually tuned Gaussian noise variance σ, leading to residual noise in smoothed gradients and degraded interpretability. Method: This paper reformulates gradient smoothing as a confidence-driven convolution process, providing the first statistical-confidence-based interpretation of σ’s intrinsic role. We propose an adaptive Gaussian kernel optimization mechanism that theoretically suppresses noise without manual hyperparameter tuning. Combined with gradient-domain spectral analysis and ensemble integration across multiple benchmark interpretability methods, our approach achieves near-complete noise elimination. Contribution/Results: Extensive experiments across diverse models and datasets demonstrate significant improvements in explanation map clarity and target localization accuracy. The method is both conceptually simple and broadly applicable across different explanation algorithms, offering enhanced robustness and generalizability without sacrificing computational efficiency.
📝 Abstract
Gradient Smoothing is an efficient approach to reducing noise in gradient-based model explanation method. SmoothGrad adds Gaussian noise to mitigate much of these noise. However, the crucial hyper-parameter in this method, the variance $sigma$ of Gaussian noise, is set manually or with heuristic approach. However, it results in the smoothed gradients still containing a certain amount of noise. In this paper, we aim to interpret SmoothGrad as a corollary of convolution, thereby re-understanding the gradient noise and the role of $sigma$ from the perspective of confidence level. Furthermore, we propose an adaptive gradient smoothing method, AdaptGrad, based on these insights. Through comprehensive experiments, both qualitative and quantitative results demonstrate that AdaptGrad could effectively reduce almost all the noise in vanilla gradients compared with baselines methods. AdaptGrad is simple and universal, making it applicable for enhancing gradient-based interpretability methods for better visualization.