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Can gzip be a language model?

4 hours ago
  • Language modeling can be done without neural networks using compression algorithms like gzip, based on the compression-prediction equivalence.
  • Compression works by assigning fewer bits to expected data, which embeds a probability model within any compressor.
  • gzip uses DEFLATE, which compresses by finding matches in a 32 KiB sliding window, allowing it to score candidate continuations by compressed length.
  • Naive byte-by-byte generation fails due to quantization noise, so beam search over byte sequences is used to look ahead before committing.
  • The generation process involves priming gzip with a corpus, scoring candidate continuations by compressed length, and using beam search to select the best span.
  • Only the recent tail of generated output is kept in the scoring context to prevent verbatim loops from exploiting nearby matches.
  • The implementation is pure Python using zlib, and adding beam search significantly improves generation quality compared to the original paper's method.