How Neurons do Differentiation
Today I learned…
…how neural networks (think brains) can do differentiation by using temporal inhibition – i.e. by using a delayed signal. In the figure below, the node α will send a signal to two nodes. One of them – β – will pass on an inhibitory signal of the same strength as its input signal, but with a delay. Thus, when β’s signal gets sent to the final node, α will at the same time be sending its “next” output signal to the final node.
Therefore, the final node will receive two signals: the current output of α and the inverted previous output of α. If the final node sums these together its output will therefore be α’s current value minus its old value – i.e. positive if α’s output signal is increasing and negative if it is decreasing. Simple and beautiful!