📄 中文摘要
提出了一种新颖的序列架构设计Versor，该架构采用共形几何代数（CGA）替代传统的非线性基本操作，以实现结构泛化和在多种任务上显著的性能提升，同时提供更好的可解释性和效率。通过将状态嵌入到$Cl_{4,1}$流形中，并通过几何变换（旋转体）进行演化，Versor能够原生表示$SE(3)$等变关系，而无需显式的结构编码。Versor在混沌N体动力学、拓扑推理以及标准多模态基准（CIFAR-10、WikiText-103）上进行了验证，始终优于变换器、图网络和几何基线。
Versor：一种几何序列架构
出处: Versor: A Geometric Sequence Architecture
发布: 2026年2月12日
📄 English Summary
Versor: A Geometric Sequence Architecture
A novel sequence architecture design, Versor, is introduced, utilizing Conformal Geometric Algebra (CGA) in place of traditional fundamental non-linear operations to achieve structural generalization and significant performance improvements across various tasks, while enhancing interpretability and efficiency. By embedding states in the $Cl_{4,1}$ manifold and evolving them through geometric transformations (rotors), Versor natively represents $SE(3)$-equivariant relationships without the need for explicit structural encoding. Validation on chaotic N-body dynamics, topological reasoning, and standard multimodal benchmarks (CIFAR-10, WikiText-103) demonstrates consistent outperformance over Transformers, Graph Networks, and geometric baselines.