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March 21, 20260 citationsOpen Access

LaminarNet: Linear-Time Multi-Scale State Propagation for Efficient Language Modeling

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UCUgurhan Colak

Key Points

  • This research aims to create a more efficient language modeling architecture that scales better than existing models.
  • Developed LaminarNet architecture to replace quadratic self-attention with innovative mechanisms.
  • Implemented Geometric Drift Field (GDF) for selective state propagation.
  • Utilized Cross-Stratum Routing (CSR) for hierarchical token interaction.
  • Tested performance with a 437M-parameter model trained on 9.56B Turkish tokens.
  • Achieved a 38.3% reduction in perplexity compared to traditional Transformers.
  • Increased throughput by 63.3%, allowing faster processing.
  • Reduced VRAM usage by 38.8%, making it more memory-efficient.
  • Demonstrated strong scaling behavior with a perplexity of 11.38 on large datasets.

Abstract

Transformer architectures dominate modern language modeling but incur O (N²) computational and memory costs with respect to sequence length, limiting scalability. We introduce LaminarNet, a linear-time architecture that replaces quadratic self-attention with two key mechanisms: Geometric Drift Field (GDF) for selective state propagation and Cross-Stratum Routing (CSR) for multi-scale hierarchical token interaction. LaminarNet achieves significant improvements in efficiency and performance. In a parameter-matched benchmark (49M parameters), it reduces perplexity by 38. 3%, increases throughput by 63. 3%, and reduces VRAM usage by 38. 8% compared to Transformers. Additionally, a 437M-parameter model trained on 9. 56B Turkish tokens demonstrates strong scaling behavior, achieving a perplexity of 11. 38. Code: https: //github. com/Uunan/LaminarNet Model: https: //huggingface. co/Uunan/LaminarNet₄37MTurkishBase

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Ugurhan Colak (2026) studied this question.

synapsesocial.com/papers/69be38da6e48c4981c6798c7https://doi.org/10.5281/zenodo.19098613
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