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I am very impressed with how well this does on the Hutter Prize.
How well does it do? Would you have a link?
That site claims 0.99 BPC, which I guess means the compressed size is 10^8 * 0.99 / 8 ~= 12,375,000.

Does that include the size of the model, or is this just the cost to encode the errors?

That is just the cost to encode errors.
Relevant discussion at end of this thread: https://encode.ru/threads/3059-How-much-further-can-the-best...

tldr: the measurements here are not meaningful for a comparison, read https://encode.ru/threads/3059-How-much-further-can-the-best...

That comment complains that the model is not useful for compression, because it stores all that linguistic knowledge in the 3GB of model weights. But for NLP applications, you want the model to store as much information as possible, and it only matters whether it generalizes to unseen data or not. The compression measurement is just to show that, not to imply that the model would be useful as a general-purpose compression algorithm.