I’m a home hobbyist starting out on Nengo. I have a basic question on how it works. Here is the problem:
Usually a linear recombination of signals is a weighted sum of signals.
Biological neurons (at least in early theories) were supposed to have every spike of the same amplitude, so only the number of spikes per second could vary.
So lets say I have 2 neurons firing at the same frequency and I do a weighted combination where the first weight is 1, and the second is 1/2. Suppose this recombination is happening at a dendrite.
I would think that the first neuron would be contributing twice as much as the second.
Now lets suppose the first neuron is firing twice as fast as the second neuron, but both have equal weights. Again I would think the first neuron contributes twice as much as the second.
Is that true? Do time-constants and filtering affect this?
So if I want to recreate an input signal (that was feeding into these 2 neurons), then a weighted combination of their outputs will create a current (in biology this would be at a dendrite that the two dendrites synapse on) that imitates the input current over time?
And what happens if you have more than one dimension so you are trying to recreate both the amplitude and direction of a vector over time?