In a 2023 living note from Shalizi, it's proposed that LLMs are Markov. Therefore there's nothing special about them other than being large; any other Markov model would do just as well. Shalizi therefore proposes Large Lempel-Ziv: LZ78 without dictionary truncation. This is obviously a little silly, because Lempel-Ziv dictionaries don't scale; we can't just magically escape asymptotes. Instead, we will do the non-silly thing: review the literature, design novel data structures, and demonstrate a brand-new breakthrough in compression technology.
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