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README.md

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 )---

cifar_bias_field_0.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_1.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_10.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_11.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_12.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_13.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_14.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_15.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_16.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_17.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_18.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_19.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_2.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_20.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_21.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_22.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_23.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_24.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_25.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_26.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_27.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_28.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_29.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_3.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_30.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_31.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_32.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_33.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_34.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_35.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_36.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_37.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_38.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_39.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_4.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_40.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_41.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_42.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_43.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_44.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_45.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_46.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_47.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_48.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_49.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_5.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_50.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_51.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_52.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_53.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_54.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_55.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_56.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_57.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_58.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_59.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_6.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_60.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_61.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_62.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_63.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_64.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_65.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_66.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_67.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_68.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_69.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_7.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_70.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_71.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_8.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']

cifar_bias_field_9.onnx

Number of parameters: 363914 
Node types: ['Gemm' 'Conv' 'Relu' 'Flatten' 'Constant' 'Reshape']