E2Former-V2: On-the-Fly Equivariant Attention with Linear Activation Memory

Fuente: arXiv
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Main Authors: Huang, Lin, Huang, Chengxiang, Wang, Ziang, Du, Yiyue, Wang, Chu, Lu, Haocheng, Li, Yunyang, Liu, Xiaoli, Jiang, Arthur, Zhang, Jia
Format: Preprint
Published: 2026
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author Huang, Lin
Huang, Chengxiang
Wang, Ziang
Du, Yiyue
Wang, Chu
Lu, Haocheng
Li, Yunyang
Liu, Xiaoli
Jiang, Arthur
Zhang, Jia
author_facet Huang, Lin
Huang, Chengxiang
Wang, Ziang
Du, Yiyue
Wang, Chu
Lu, Haocheng
Li, Yunyang
Liu, Xiaoli
Jiang, Arthur
Zhang, Jia
contents Equivariant Graph Neural Networks (EGNNs) have become a widely used approach for modeling 3D atomistic systems. However, mainstream architectures face critical scalability bottlenecks due to the explicit construction of geometric features or dense tensor products on \textit{every} edge. To overcome this, we introduce \textbf{E2Former-V2}, a scalable architecture that integrates algebraic sparsity with hardware-aware execution. We first propose \textbf{E}quivariant \textbf{A}xis-\textbf{A}ligned \textbf{S}parsification (EAAS). EAAS builds on Wigner-$6j$ convolution by exploiting an $\mathrm{SO}(3) \rightarrow \mathrm{SO}(2)$ change of basis to transform computationally expensive dense tensor contractions into efficient, sparse parity re-indexing operations. Building on this representation, we introduce \textbf{On-the-Fly Equivariant Attention}, a fully node-centric mechanism implemented via a custom fused Triton kernel. By eliminating materialized edge tensors and maximizing SRAM utilization, our kernel achieves a \textbf{20$\times$ improvement in TFLOPS} compared to standard implementations. Extensive experiments on the SPICE and OMol25 datasets demonstrate that E2Former-V2 maintains comparable predictive performance while notably accelerating inference. This work demonstrates that large equivariant transformers can be trained efficiently using widely accessible GPU platforms. The code is avalible at https://github.com/IQuestLab/UBio-MolFM/tree/e2formerv2.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16622
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle E2Former-V2: On-the-Fly Equivariant Attention with Linear Activation Memory
Huang, Lin
Huang, Chengxiang
Wang, Ziang
Du, Yiyue
Wang, Chu
Lu, Haocheng
Li, Yunyang
Liu, Xiaoli
Jiang, Arthur
Zhang, Jia
Machine Learning
Artificial Intelligence
Equivariant Graph Neural Networks (EGNNs) have become a widely used approach for modeling 3D atomistic systems. However, mainstream architectures face critical scalability bottlenecks due to the explicit construction of geometric features or dense tensor products on \textit{every} edge. To overcome this, we introduce \textbf{E2Former-V2}, a scalable architecture that integrates algebraic sparsity with hardware-aware execution. We first propose \textbf{E}quivariant \textbf{A}xis-\textbf{A}ligned \textbf{S}parsification (EAAS). EAAS builds on Wigner-$6j$ convolution by exploiting an $\mathrm{SO}(3) \rightarrow \mathrm{SO}(2)$ change of basis to transform computationally expensive dense tensor contractions into efficient, sparse parity re-indexing operations. Building on this representation, we introduce \textbf{On-the-Fly Equivariant Attention}, a fully node-centric mechanism implemented via a custom fused Triton kernel. By eliminating materialized edge tensors and maximizing SRAM utilization, our kernel achieves a \textbf{20$\times$ improvement in TFLOPS} compared to standard implementations. Extensive experiments on the SPICE and OMol25 datasets demonstrate that E2Former-V2 maintains comparable predictive performance while notably accelerating inference. This work demonstrates that large equivariant transformers can be trained efficiently using widely accessible GPU platforms. The code is avalible at https://github.com/IQuestLab/UBio-MolFM/tree/e2formerv2.
title E2Former-V2: On-the-Fly Equivariant Attention with Linear Activation Memory
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.16622