In plain words: Words are encoded as spinors—geometry objects that capture rich rotations and relationships in high-dimensional space—inside a Transformer, to make language representations more expressive and robust. Only the theory and integration details are given, with no experiments, so the promised gains remain untested.
Abstract
This paper proposes a novel approach to word embeddings in Transformer models by utilizing spinors from geometric algebra. Spinors offer a rich mathematical framework capable of capturing complex relationships and transformations in high-dimensional spaces. By encoding words as spinors, we aim to enhance the expressiveness and robustness of language representations. We present the theoretical foundations of spinors, detail their integration into Transformer architectures, and discuss potential advantages and challenges.
Rick White
arXiv:2410.00038 · cs.LG, cs.CL · submitted Sep 26, 2024
abstract · pdf · html · 22 pages, 8 figures