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October 12, 2025Open Access

HoPE: Hyperbolic Rotary Positional Encoding for Stable Long-Range Dependency Modeling in Large Language Models

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Authors

CDC. J. DaiHSHongyu ShanMSMingyang Song

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Overview

Geometric reformulation improves positional encodings in transformers, suggesting potential for reliable long-range context.

Key Points

  • HoPE enhances the modeling of long-range dependencies, addressing issues found with traditional positional encodings.
  • Through a geometric approach inspired by Lorentz transformations, it enables more stable attention weights across distances.
  • Comparative experiments show HoPE outperforms existing methods, particularly in extended sequence benchmarks.
  • This new encoding method emphasizes monotonic decay of attention, potentially allowing better generalization.

Cite This Study

Dai et al. (2025) studied this question.

synapsesocial.com/papers/68ec384042a190b2c3519817https://doi.org/10.48550/arxiv.2509.05218
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