TrainingFoundations Updated 2026

Backpropagation

Definition

The algorithm that trains neural networks by propagating prediction errors backward to adjust each weight — the engine behind nearly all deep learning.

Backpropagation computes how much each weight in a network contributed to the output error, using the chain rule to propagate gradients from the loss back through every layer. Rumelhart, Hinton & Williams (1986) popularised it as a practical way to train multi-layer networks, making deep learning feasible.

Every model in this glossary — from CNNs to Transformers — is trained with backpropagation paired with an optimizer such as Adam.

References

Primary, peer-reviewed and archival sources for this definition.

Learning representations by back-propagating errors
Rumelhart, D. E., Hinton, G. E., & Williams, R. J. (1986). Nature, 323, 533–536.

Dictionary & encyclopedic entries

Cite this entry

MultipleChat. "Backpropagation." MultipleChat AI & LLM Glossary, 2026. https://multiple.chat/ai-glossary/backpropagation

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