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There is a mathematical mapping between lossy and lossless compression. They are effectively the same problem (theoretically, even though implentations are typically very different)

LLM's would make excellent (but very slow) lossy or lossless compressors.

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Do you have some links/references for someone wanting to learn more about this?

Here's a simple explanation: https://news.ycombinator.com/item?id=34726719. Basically, with a sufficiently good lossy compressor, you can use entropy coding to encode the difference between the decompression output and the original file.

http://mattmahoney.net/dc/rationale.html

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