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Gzip Explored as a Language Model Based on Compression-Prediction Equivalence

🔄 Updated 1d ago
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Key points

  • Explores gzip's capability as a language model without neural networks.
  • Based on the compression-prediction equivalence principle.
  • Gzip generates text by finding best-compressing byte sequences.
  • Output shows some coherence, indicating underlying predictive ability.

Compression as Prediction

The analysis investigates the concept of language modeling using gzip, a standard compression tool, rather than neural networks. This approach is rooted in the information theory principle that every prediction model is a compressor, and every compression algorithm acts as a prediction model. This equivalence suggests that compressors inherently contain a probability model, even if not explicitly defined.

Gzip's Predictive Mechanism

Gzip utilizes the DEFLATE algorithm, which compresses data by identifying matches against recent text within a 32 KiB sliding window. When a continuation of text echoes content already present in this window, DEFLATE encodes it as a compact back-reference instead of literal bytes. This mechanism allows gzip to assign a lower compressed length to "expected" continuations, effectively scoring their predictability.

Experimental Text Generation

An experiment involved priming gzip with a corpus, such as Tiny Shakespeare, and then providing a text prompt. Gzip then generated continuations by searching for byte sequences that resulted in the smallest compressed length. The output, while not perfectly coherent, demonstrated an unexpected level of understanding of the text's structure, indicating that gzip possesses some inherent predictive capabilities.

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Reporting from

An analysis explores whether the gzip compression algorithm can function as a language model, leveraging the principle that all compression algorithms are inherently prediction models. The experiment demonstrates that gzip, when primed with text, can generate continuations by identifying byte sequences that compress most efficiently, producing somewhat coherent but imperfect text.