# Backpropagation in matrix notation

arXiv: https://arxiv.org/abs/1707.02746 · HTML: https://mlsanity.com/paper/1707.02746/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 10 Jul 2017.

## Built on by (most cited first, 2 of 2)

- [An induction proof of the backpropagation algorithm in matrix notation](https://mlsanity.com/paper/2107.09384/) (2021)
- [Derivation of Back-propagation for Graph Convolutional Networks using Matrix Calculus and its Application to Explainable Artificial Intelligence](https://mlsanity.com/paper/2408.01408/) (2024)

## Abstract (arXiv)

In this note we calculate the gradient of the network function in matrix notation.