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NeuralNetworkVerification

Setup Virtual Environment

$ python3 -m venv .venv
$ . .venv/bin/activate

Install DNNV

$ git clone https://github.com/dlshriver/DNNV.git
$ cd DNNV
$ pip install .

Verify mnist onnx model with ERAN properties

$ git clone https://github.com/arupcsedu/NeuralNetworkVerification.git
$ cd NeuralNetworkVerification/ERAN-MNIST
$ dnnv property_0.py --network N pytorch_mnist.onnx

Output

Verifying property:
Forall(x_, ((([[[-0.008 -0.008 ... -0.008 -0.008] [-0.008 -0.008 ... -0.008 -0.008] ... [-0.008 -0.008 ... -0.008 -0.008] [-0.008 -0.008 ... -0.008 -0.008]]] < (0.1307 + (0.3081 * x_))) & ((0.1307 + (0.3081 * x_)) < [[[0.008 0.008 ... 0.008 0.008] [0.008 0.008 ... 0.008 0.008] ... [0.008 0.008 ... 0.008 0.008] [0.008 0.008 ... 0.008 0.008]]]) & (0 < (0.1307 + (0.3081 * x_))) & ((0.1307 + (0.3081 * x_)) < 1)) ==> (numpy.argmax(N(x_)) == 7)))

Verifying Networks:
N:
Input_0                         : Input([  1 784], dtype=float32)
Gemm_0                          : Gemm(Input_0, ndarray(shape=(128, 784)), ndarray(shape=(128,)), transpose_a=0, transpose_b=1, alpha=1.000000, beta=1.000000)
Relu_0                          : Relu(Gemm_0)
Gemm_1                          : Gemm(Relu_0, ndarray(shape=(64, 128)), ndarray(shape=(64,)), transpose_a=0, transpose_b=1, alpha=1.000000, beta=1.000000)
Relu_1                          : Relu(Gemm_1)
Gemm_2                          : Gemm(Relu_1, ndarray(shape=(10, 64)), ndarray(shape=(10,)), transpose_a=0, transpose_b=1, alpha=1.000000, beta=1.000000)
LogSoftmax_0                    : LogSoftmax(Gemm_2, axis=1)

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