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Space filling positionality and the Spiroformer

Year: 2025
Type: preprint
Abstract: 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.
Authors: Maurin, M., Evangelista-Alvarado, M. Á., Suárez-Serrato, P.
Language: English
Open Access status: green
OpenAlex ID: W6979284435
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