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\( \mathbf{W} \)

Short Description

This symbol represents the matrix containing the weights and biases of a layer in a neural network.

Medium Description

This symbol represents the matrix containing the weights and biases of a layer in a neural network. Its dimensions are defined by the size of the input and the output.

Long Description

The symbol, \(\mathbf{W}\), represents the matrix containing the weights and biases of a layer in a neural network. Its dimensions are defined by the size of the input and the output. If a layer takes in \(a\) inputs and results in \(b\) outputs, then \(\mathbf{W}\) \(b\) rows and \(a+1\) columns. The additional column accommodates the biases of each entry.

References

  1. Jaeger, H. (n.d.). Neural Networks (AI) (WBAI028-05) Lecture Notes BSc program in Artificial Intelligence. Retrieved April 27, 2024, from https://www.ai.rug.nl/minds/uploads/LN_NN_RUG.pdf