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Space filling positionality and the Spiroformer

2025-07-11 · M. Maurin, M. Á. Evangelista-Alvarado, P. Suárez-Serrato arxiv

Transformers excel when dealing with sequential data. Generalizing transformer models to geometric domains, such as manifolds, we encounter the problem of not having a well-defined global order. We propose a solution with attention heads following a space-filling curve. As a first experimental example, we present the Spiroformer, a transformer that follows a polar spiral on the $2$-sphere.

📄 PDF Abstract BibTeX arXiv:2507.08456

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