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

📅 2026-02-28
📈 Citations: 0
✨ Influential: 0
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🤖 AI Summary
This work proposes an efficient hierarchical sequence modeling architecture based on a binary tree structure to address the high computational complexity of standard self-attention and its difficulty in capturing hierarchical dependencies in long sequences. The method introduces a binary tree reduction mechanism with hierarchical inductive bias, replacing conventional self-attention with recursively applied Gated Linear Units (GLUs). This design achieves O(log n) parallel depth while maintaining O(n) space complexity. Experimental results demonstrate that the proposed model significantly outperforms standard Transformers on long-sequence tasks, exhibiting faster convergence and higher accuracy—particularly excelling in tasks where hierarchical dependency structures are critical.

Technology Category

Machine Learning: Deep Neural Architectures and Foundation ModelsNatural Language Processing: (Large) Language ModelsComputer Vision: Large Vision Models

Application Category

Graph Algorithms and Modeling for the Web: Foundation models and LLMs for Web-related graphsSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingSemantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMs
📝 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.
Problem

Research questions and friction points this paper is trying to address.

sequence modeling
long-range dependencies
hierarchical inductive bias
self-attention
computational complexity
Innovation

Methods, ideas, or system contributions that make the work stand out.

hierarchical binary tree
gated linear unit
linear complexity
sequence modeling
inductive bias
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I
Igor Berezkin
Independent Researcher