LLM training produces models that approach the information bottleneck bound on compression, with compression optimality and retained information predicting performance on diverse benchmarks.
There are two major reasons for this; first, differential entropy is not the true continuous analogue of Shannon Entropy (Jaynes, 1957)
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Learning is Forgetting: LLM Training As Lossy Compression
LLM training produces models that approach the information bottleneck bound on compression, with compression optimality and retained information predicting performance on diverse benchmarks.