Can Higher Order Attention Help Small Language Models?

BabyLM 2026 submission · Joseph Chan

We investigate whether higher-order interactions in attention can improve small language models trained under severe data constraints. We introduce and evaluate a force layer inside a Transformer, comparing against standard Transformer baselines on the BabyLM 10M word setting.

A force layer is an attention layer where the attention score has a quadratic correction term to the first order dot product attention score prior to applying softmax. This model has 6 prefix attention layers, one force layer, followed by 5 suffix attention layers.

The model hyperparameters are:

  • 8 heads
  • 64 head dimension
  • 512 hidden dimension
  • 4 * 64 * 16 = 4096 per head second order parameters
  • 12 layers
  • seed 3407
  • 46.21M total parameters
  • BPE 16k tokenizer
  • 16,384 vocab
  • 10 epochs of training on 10M BabyLM Strict-Small dataset (stopped early with 5% of last epoch buffer)
  • 162430976 tokens seen
  • 99538153 estimated words seen
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Dataset used to train Fibration/babylm-force-8h-12L