Tiny GPT memorization checkpoint (8m, near-capacity / saturation boundary)

From an exploratory tiny-scale replication of How much do language models memorize?.

  • Architecture: GPT-2 (transformers), trained from scratch.
  • Parameters: 7,916,160 (non-embedding 7,098,624).
  • Vocab: 2048 data tokens (uniform random) + BOS = 2049 model vocab.
  • Sequence length: 64 (paper S=64).
  • Dataset: 44000 sequences, 2,816,000 data tokens, dataset entropy 30,976,000 bits (30.976 Mbits).
  • Trained 15698 steps, AdamW, bfloat16, lr 0.002, batch 512.
  • Result: train loss 5.8075 bits/tok, held loss 16.6023, memorized 14,622,163 bits = 1.847 bits/parameter.

This is the near-capacity (saturation-boundary) run for this model size. Below- and above-capacity checkpoints for the same architecture are published as state.pt files in the results dataset evalstate/tiny-memorization-results.

Load with:

from transformers import GPT2LMHeadModel
model = GPT2LMHeadModel.from_pretrained("evalstate/tiny-gpt-memorization-8m")

Findings are scoped as an exploratory tiny-scale check (three architectures), NOT a universal scaling law.

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Paper for evalstate/tiny-gpt-memorization-8m