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EquiVLA: A General Framework for Rotationally Equivariant Vision-Language-Action Models

2026-06-18 · Thien-Loc Ha, Quang-Tan Nguyen, Trong-Bao Ho, Long Dinh, Minh Duc Nguyen, Gia-Binh Nguyen, Pham Tri Quang, Minh N. Vu, Duy M. H. Nguyen, An Thai Le, Ngo Anh Vien arxiv

Vision-Language-Action (VLA) models have emerged as a powerful paradigm for generalist robot manipulation, yet they lack geometric inductive biases: policies trained at specific orientations require substantially more data to generalize across rotational configurations. We present \textsc{EquiVLA}, the first general framework for end-to-end $\mathrm{SO}(2)$-equivariant VLA models, applicable to any architecture coupling a frozen vision-language backbone with a flow-matching Diffusion Transformer action head. \textsc{EquiVLA} introduces \textsc{EquiPerceptor}, which produces approximately $\mathrm{SO}(2)$-equivariant visual representations from frozen ViT features; and \textsc{EquiActor}, an exactly $\mathrm{SO}(2)$-equivariant flow-matching Diffusion Transformer action head. Together, they establish an approximate $\mathrm{SO}(2)$ equivariance chain from camera observations to predicted action sequences. Instantiated on GR00T~N1.5 and evaluated across four LIBERO suites, CALVIN ABCD$\to$D, and five real-robot tasks on Mobile ALOHA, \textsc{EquiVLA} achieves $92.6\%$ average success on LIBERO (vs. $78.1\%$ baseline), an average sequence length of $4.03$ on CALVIN (vs. $3.45$), and improves real-robot success from $54\%$ to $72\%$.

📄 PDF Abstract BibTeX arXiv:2606.19784

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Tasks

Robot Manipulation

Results from the Paper

RankTaskDatasetModelMetrics
#9 Robot Manipulation CALVIN EquiVLA avg. sequence length (D to D): 4.03

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