Poster
in
Workshop: 2nd Workshop on Formal Verification of Machine Learning
Understanding Certified Training with Interval Bound Propagation
Yuhao Mao · Mark Müller · Marc Fischer · Martin Vechev
Abstract:
As robustness verification methods are becoming more precise, training certifiably robust neural networks is becoming ever more relevant. To this end, certified training methods compute and then optimize an upper bound on the worst-case loss over a robustness specification. Curiously, training methods based on the imprecise interval bound propagation (IBP) consistently outperform those leveraging more precise bounding methods. Still, we lack an understanding of the mechanisms making IBP so successful.In this work, we thoroughly investigate these mechanisms theoretically and empirically by leveraging a novel metric measuring the tightness of IBP bounds.
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