New computational algorithms make it possible to build neural networks with many input nodes and many layers, and distinguish "deep learning" of these networks from previous work on artificial neural nets.
Under the dual lens, verification is treated as a stagewise optimization problem and Lagrangian relaxation is applied to yield a dual function that always provides valid lower bounds.
Under the dual lens, verification is treated as a stagewise optimization problem and Lagrangian relaxation is applied to yield a dual function that always provides valid lower bounds.
These progresses are pushing the vision models towards an unprecedented height. Different networks treat the input image in different ways. As shown in Figure 1, the image data is usually represented as a regular grid of pixels in the Euclidean space.