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Techniques & Methods

Backpropagation

Backpropagation computes gradients of the loss function with respect to all model parameters using the chain rule of calculus, then uses these gradients to update weights via gradient descent. It is the core algorithm that makes training deep neural networks feasible.

Efficient backpropagation through billions of parameters in modern LLMs requires specialized hardware (GPUs/TPUs), automatic differentiation libraries (PyTorch, JAX), and techniques like mixed-precision training and gradient checkpointing to manage memory.

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