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Wave-Attractor-Tree: A Hierarchical Binary Tree Reduction Architecture for Efficient Sequence Modeling

Machine Learning 2026-03-03 v1

Abstract

Work introduces a hierarchical binary tree-based reduction that replaces standard self-attention. The core idea is to use a recursive Gated Linear Unit merge operation, achieving O(n) total merge operations O(log n) parallel depth O(n d^2) total work and O(n) space complexity. In these experiments, the model significantly outperforms standard Transformers in both convergence speed and accuracy on long-range structural dependencies, specifically where hierarchical inductive bias is critical.

Keywords

Cite

@article{arxiv.2603.00812,
  title  = {Wave-Attractor-Tree: A Hierarchical Binary Tree Reduction Architecture for Efficient Sequence Modeling},
  author = {Igor Berezkin},
  journal= {arXiv preprint arXiv:2603.00812},
  year   = {2026}
}

Comments

5 pages, 5 tables. Source code and benchmarks are available at [https://github.com/IgorBerezkin/WAT]

R2 v1 2026-07-01T10:57:30.205Z