Neuron tree fanout

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hlreed

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Neurons connect to neurons is a fact sometimes forgotten.
Looking back from the axon, what is the fanout or number of inputs in each layer?
We have:
W is width or number of inputs
L is number of layers
k is number of synapses in every neuron in this expo.

W and L are like coordinates Y and X.
Here is a sample neuron tree with k = 3
W (impossible to make tables here)
9|0 0 3
8|0 0 3
7|0 0 3
6|0 0 3
5|0 0 3
4|0 0 3
3|0 3 3
2|0 3 3
1|1 3 3
0|1 2 3

W = 1 3 9 ...
L = 0 1 2 ...

Note that W = k^(L-1) ; Width is synapses to the Layer - 1

Now, given a neuron k, we can tell how many inputs in L layers of tree.

I keep hearing that k is 1000 in the human brain. Run that through a vew layers.
C. elegans has 302 neurons and a k of 2.

Any more k values you know?

Harold
 
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