DEVIANT: Depth EquiVarIAnt NeTwork for Monocular 3D Object Detection
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Abstract (arXiv)
Modern neural networks use building blocks such as convolutions that are equivariant to arbitrary 2D translations. However, these vanilla blocks are not equivariant to arbitrary 3D translations in the projective manifold. Even then, all monocular 3D detectors use vanilla blocks to obtain the 3D coordinates, a task for which the vanilla blocks are not designed for. This paper takes the first step towards convolutions equivariant to arbitrary 3D translations in the projective manifold. Since the depth is the hardest to estimate for monocular detection, this paper proposes Depth EquiVarIAnt NeTwork (DEVIANT) built with existing scale equivariant steerable blocks. As a result, DEVIANT is equivariant to the depth translations in the projective manifold whereas vanilla networks are not. The additional depth equivariance forces the DEVIANT to learn consistent depth estimates, and therefore, DEVIANT achieves state-of-the-art monocular 3D detection results on KITTI and Waymo datasets in the image-only category and performs competitively to methods using extra information. Moreover, DEVIANT works better than vanilla networks in cross-dataset evaluation. Code and models at https://github.com/abhi1kumar/DEVIANT
Key facts. Cited by 48 papers in the map (data through 7 Oct 2026). Builds on 81 of its 104 references that are in the map. First posted on arXiv 21 Jul 2022.
Builds on
81 of 104 references.
References · 81
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50 most cited of 81 All 81 (JSON)
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Citing papers per year: 2022: 2; 2023: 15; 2024: 14; 2025: 11; 2026: 6.
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- 2023Tame a Wild Camera: In-the-Wild Monocular Camera Calibrationcited by 34
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12 most cited of 47 All 47 (JSON)
- 2026RefineAny3D: Depth Refinement as Semantic Alignment for Monocular 3D Detection10 Aug 2026
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- 2026MonoPRIO: Adaptive Prior Conditioning for Unified Monocular 3D Object Detection14 May 2026
- 2026Towards Intrinsic-Aware Monocular 3D Object Detection28 Mar 2026
- 2026Selective Transfer Learning of Cross-Modality Distillation for Monocular 3D Object Detection8 Mar 2026
- 2026Mono3DV: Monocular 3D Object Detection with 3D-Aware Bipartite Matching and Variational Query DeNoising3 Jan 2026
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- 2025IDEAL-M3D: Instance Diversity-Enriched Active Learning for Monocular 3D Detection24 Nov 2025
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- 2025MAESTRO: Task-Relevant Optimization via Adaptive Feature Enhancement and Suppression for Multi-task 3D Perception22 Sep 2025
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