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  1. The backpropagation algorithm is a key technique for training neural networks by minimizing the error between predicted and actual outputs. Below is a step-by-step guide to implementing it using Python and a suitable dataset.

    Steps to Implement Backpropagation

    1. Initialize the Neural Network Define the network structure (input, hidden, and output layers). Initialize weights and biases with small random values.

    2. Forward Propagation Pass input data through the network. Compute activations for each layer using weighted sums and activation functions (e.g., sigmoid or ReLU).

    3. Compute Loss Calculate the error between predicted and actual outputs using a loss function (e.g., Mean Squared Error).

    4. Backward Propagation Compute gradients of the loss with respect to weights and biases using the chain rule. Update weights and biases using gradient descent or stochastic gradient descent.

    5. Iterate Over Epochs Repeat forward and backward propagation for multiple epochs until the loss converges.

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