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arxiv: 1806.02460 · v1 · pith:QETK5PO2new · submitted 2018-06-06 · 💻 cs.LG · stat.ML

The effect of the choice of neural network depth and breadth on the size of its hypothesis space

classification 💻 cs.LG stat.ML
keywords hypothesisnetworkneuralnumberspacebreadthchoicedepth
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We show that the number of unique function mappings in a neural network hypothesis space is inversely proportional to $\prod_lU_l!$, where $U_{l}$ is the number of neurons in the hidden layer $l$.

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