The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. In this context, verification means verifying whether a NN model satisfies certain input-output properties. Despite the reputation of learned NN models as black boxes, and the theoretical hardness of proving useful properties about them, researchers have been successful in verifying some classes of models by exploiting their piecewise linear structure and taking insights from formal methods such as Satisifiability Modulo Theory. However, these methods are still far from scaling to realistic neural networks. To facilitate progress on this crucial area, we make two key contributions. First, we present a unified framework based on branch and bound that encompasses previous methods. This analysis results in the identification of new methods that combine the strengths of multiple existing approaches, accomplishing a speedup of two orders of magnitude compared to the previous state of the art. Second, we propose a new data set of benchmarks which includes a collection of previously released test cases. We use the benchmark to provide a thorough experimental comparison of existing algorithms and identify the factors impacting the hardness of verification problems.

研究了深度学习的形式验证以及提出了一种基于分支定界的族算法，并提出了新型的组合方法，以及新的有效的分支策略，将之用于高维输入上的问题，并提出包含以前发布的测试案例的全面测试数据集和基准测试。

分支定界用于分段线性神经网络验证