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Indeed one way of looking at intelligence is that it is a method of compressing the external universe.

See e.g. the Hutter Prize.

Our sight is light detection compressed into human thought

Written language is human thought compressed into words

Digital images are light detection compressed into bits

Text to images AI compress digital images into written language

Then how do the AI weights relate to human thought?

The feeling of understanding is essentially a decompression result being successfuly pattern matched.