Post #4520175
2026-07-28 10:28 UTC
Neural networks train by constructing a computational graph in the forward pass, chaining basic operations such as x × y × z into composite functions of the inputs.
Derivatives of the output with respect to every input are then obtained in the backward pass by applying the chain rule at each node, where local gradients multiply: ∂f/∂y = ∂f/∂(x × y) × ∂(x × y)/∂y and ∇ₓz = ∇ₓy · ∇ᵧz, with intermediate values stored along the graph.
This process updates the parameters of convolutional networks that classify medical scans to flag early-stage tumors in hospital imaging systems.
#NeuralNetworks #NeuralNets #DL #ML #DeepLearning #MachineLearning #AI #NNs #CNN
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