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Training 1,000 Weights in Gemma 3 270M Unlocks Hidden Sorting and JSON Skills

·2026.11.02 10:23

Key point

A study on Gemma 3 270M shows that training just 1,000 random weights (0.001% of the model) enables hidden skills like sorting and JSON output that prompts alone could not unlock.

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Details

  • Training 1,000 randomly selected weights in Gemma 3 270M raised sorting accuracy from 1% to 97% and enabled clean JSON output with only 30 weights, proving skills exist in the model that no prompt can elicit.
  • The method, based on a NeurIPS 2025 study, uses sparse weight updates on a single 8 GB consumer GPU; 10 to 100 weights closed up to 50% of the performance gap to full fine-tuning on Llama and Qwen models.
  • Multiplication remained weak, reaching only 33% accuracy with 100,000 trained weights, indicating the skill was largely absent from the base model, while addition improved significantly with 1,000 weights.
  • Attention output matrices were the most effective location for weight selection, with 100 weights trained there achieving 47% sorting accuracy compared to 35% when picked randomly from the entire model.
  • The skill relies on many small changes acting together; training only the 50 most important positions from scratch achieved 24% accuracy, outperforming the 16% achieved by training 50 random positions, while removing half of the 1,000 trained weights dropped accuracy to 25% or 15%.

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