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Enhancing Certified Robustness via Smoothed Weighted Ensembling

2020/05/19 by Chizhou Liu, Liu, Chizhou, Yunzhen Feng +5 · 1 citation
Computer Science · Mathematics · #Advanced Neural Network Applications #Adversarial Robustness in Machine Learning #Anomaly Detection Techniques and Applications #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #cs.CR #cs.LG #stat.ML

paper · pdf · doi:10.48550/arxiv.2005.09363

openalex publication_date 2020/05/19 · arxiv created 2021/02/23 · arxiv updated 2021/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Randomized smoothing has achieved state-of-the-art certified robustness against l2-norm adversarial attacks. However, it is not wholly resolved on how to find the optimal base classifier for randomized smoothing. In this work, we employ a Smoothed WEighted ENsembling (SWEEN) scheme to improve the performance of randomized smoothed classifiers. We show the ensembling generality that SWEEN can help achieve optimal certified robustness. Furthermore, theoretical analysis proves that the optimal SWEEN model can be obtained from training under mild assumptions. We also develop an adaptive prediction algorithm to reduce the prediction and certification cost of SWEEN models. Extensive experiments show that SWEEN models outperform the upper envelope of their corresponding candidate models by a large margin. Moreover, SWEEN models constructed using a few small models can achieve comparable performance to a single large model with a notable reduction in training time.

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