On Sat, Sep 9, 2023, 5:57 PM mm ee <[email protected]> wrote:

> There is no reason to believe that 1 bit or 1 synaptic connection
> corresponds to a single pattern of a memory
>

Not one synapse, one neuron. Human memory is associative. Synapses
represent associations between concepts, at least in the connectionist
model that makes neural networks easy to understand. But connectionism
doesn't have a mechanism for learning new concepts and adding neurons. We
solve the problem by having neurons represent linear combinations of
concepts and synapses represent linear combinations of associations.

A rule of thumb for programming neural networks is to use on the order of 1
synapse or weight or parameter per bit of compressed training data. Too
small and you forget. Too big and you over fit. GPT3 uses 175B parameters
to train on 500B tokens of text, suggesting a compression ratio of 0.1 bits
per character. A human level language model in theory should need 1B
parameters to train on 1 GB of text at 1 bpc. ChatGPT knows far more than
any human could remember. And compression ratio gets better as the training
set gets bigger. All of human knowledge is 10^19 characters compressing to
10^17 bits at 0.01 bpc because 99% of what you know is shared or written
down (why it costs 1% of lifetime income to replace an employee).

The mystery is why does the brain need 6 x 10^14 synapses to store 10^9
bits of long term memories? Maybe because neurons are slow so you make
multiple copies of bits to move them closer to where they are needed. Like
a server farm stores 1M copies of Linux on disk, RAM, cache, and registers.
Or your body has 10^13 copies of your DNA and still has to make multiple
copies of a gene to mRNA before transcribing it.

So if we can optimize LLM storage by using faster components, maybe we can
do the same for vision at video speeds. We know that we can only store
visual information at 5 to 10 bits per second, same as language. We figured
out language by abandoning symbolic reasoning and training semantics before
grammar. Maybe we can solve vision by modeling a fovea and eye movements.

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Artificial General Intelligence List: AGI
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