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This paper presents a formal embedding of feedforward neural networks into Isabelle/HOL, addressing the challenges of verifying neural networks used in safety-critical applications. It discusses the formal specification and verification techniques required for neural networks, highlights adversarial examples, and provides a case study of a digit classification neural network created using TensorFlow. The work contributes to the field of formal methods by demonstrating how neural networks can...
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01
Define the architecture of the feedforward neural network, including input, hidden, and output layers.
02
Initialize weights and biases for each layer appropriately, often using random values or zero.
03
Prepare the dataset by splitting it into training, validation, and test sets.
04
Implement the forward propagation algorithm to compute the output of the network for given inputs.
05
Choose a loss function suitable for the problem, such as mean squared error for regression or cross-entropy for classification.
06
Apply backpropagation to compute gradients of the loss with respect to weights and biases.
07
Update weights and biases using an optimization algorithm, such as stochastic gradient descent or Adam.
08
Validate the network using the validation set to check for overfitting and adjust hyperparameters as needed.
09
Test the performance of the finalized model on the test set to evaluate its generalization capability.

Who needs verifying feedforward neural networks?

01
Researchers and practitioners in machine learning who aim to build predictive models.
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Data scientists and analysts looking to solve classification or regression problems.
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Companies interested in automating tasks or improving decision-making processes using AI.
04
Academics teaching neural network concepts in computer science or engineering courses.
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Verifying feedforward neural networks involves checking and validating the functionality and performance of the neural network model to ensure it produces expected outputs for given inputs and adheres to specified criteria.
Researchers, developers, and organizations that employ feedforward neural networks in their applications may be required to file verification documents to demonstrate compliance with standards and regulations.
Filling out the verification documents typically involves providing details about the neural network architecture, training data, performance metrics, testing results, and adherence to safety and compliance guidelines.
The purpose is to ensure that the neural network operates correctly, performs as intended, and meets operational and regulatory standards, thus minimizing risks associated with their deployment.
Information must include the model description, training process, dataset used, evaluation metrics, validation results, and any known limitations or biases in the model.
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