Proposed by the VeriNet team.
Motivation: This benchmark focuses on verifying a Cifar-10 network against bias field perturbations. These perturbations are encoded by creating augmented networks with only 16 input parameters; thus, the problem has a significantly lower input dimensionality than many other image-based benchmarks
Networks: For each image to be verified, a separate bias field transform network is created, consisting of a fully connected transform layer followed by the Cifar CNN. The Cifar CNN includes convolutional layers followed by ReLUs. Each bias field transform network has 363k parameters and 45k nodes.
Specifications: The specification addresses bias field perturbations of the input. The task is reduced into a standard ℓ∞ specification by encoding the bias field transformation into fully connected layers, which are prepended to the network under consideration. The bias field perturbations used ε = 0.06 and a timeout of 5 minutes
--- List of all cifar_biasfield [conv_net] networks (From : vnncomp2022_benchmarks )---
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']
Number of parameters: 363914
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']