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Build Neural Network from Scratch in Python

  • This post covers how to build a simple neural network from scratch that can recognize handwritten digits from the MNIST dataset.
  • The MNIST dataset contains 60,000 training images and 10,000 test images of handwritten digits (0–9).
  • Each image is flattened into a 784-dimensional vector, which enables us to input directly into our neural network, which has 784 input neurons.
  • Our neural network has three layers: an input layer (784 neurons), a hidden layer (10 neurons with ReLU activation), and an output layer (10 neurons with softmax activation).
  • The learning process of a neural network involves forward propagation, activation functions, backward propagation, and gradient descent.
  • ReLU is an activation function used to introduce non-linearity. It is defined as: ReLU outputs the input ZZ if it is positive, and zero otherwise.
  • Softmax is an activation function applied to the output layer to interpret the model’s predictions as probabilities.
  • Backward propagation calculates how much each weight and bias contributed to the error in the model’s predictions.
  • After calculating the gradients, we use gradient descent to update the parameters, moving in the direction that reduces the network’s error.
  • This post demonstrated how to build a simple neural network from scratch in Python to classify MNIST handwritten digits.

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