
Train an AI with PyTorch to learn the linear function y = 2x + 1 using tensors for input and output data, weights, and biases, and test the results.
Understand the linear module in PyTorch, including weights, bias, and fully connected layers, with matrix multiplication and loss-based convergence toward correct outputs.
Learn how PyTorch optimizers, starting from random weights and biases, update parameters using stochastic gradient descent, with learning rate effects and the math of loss and gradient updates.
Engage in the forward pass by computing y_hat from inputs X with a model's weight and bias, then observe how predictions evolve during training as these parameters are optimized.
Compute the loss function in PyTorch using mean squared error (MSE), averaging the squared differences between y_pred and y, illustrated with a numeric example.
Compute the loss gradients via the backward pass, then update weight and bias with stochastic gradient descent and clear gradients with zero_grad, observing convergence toward optimal parameters.
Build a PyTorch model with two hidden layers using ReLU activation, defined as a class, and train it with SGD to optimize weights and biases.
Explore increasing a linear layer's output, using dropout as a regularization technique to combat overfitting. See a four-layer network with linear, ReLU, and dropout, and a basic SGD training loop.
Build a PyTorch model with a linear1 (1→10), a ReLU, and a linear2 (10→1). Train with SGD (lr 0.01) and MSE loss for 10,000 iterations, then inspect weights, biases, and predictions.
Learn to use mean squared error loss from PyTorch's functional package (import as F) by comparing predicted outputs with correct targets in a network with two linear layers and ReLU.
Learn to save and load a PyTorch model by saving its state dictionary, then reload it, switch to eval mode, and run predictions on new inputs.
Train a two-input, one-output model to learn the input-output relation with a linear function in PyTorch, using a loss function and optimizer, then save, load, and test new inputs.
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