View-Structured Conformal Prediction for 3D Gaussian Splatting
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Abstract (arXiv)
3D Gaussian Splatting (3DGS) renders novel views in real time, but an uncertainty heatmap does not certify that a rendered view meets a certain prediction coverage. We treat novel-view synthesis as structured regression and ask that, with probability at least 1-α, RGB prediction boxes cover at least a 1-β fraction of pixels in a new view. We propose View-Structured Conformal Prediction (VSCP). It splits the pre-calibration scale into a spatial shape from the renderer and a transferable view-difficulty factor, which predicts the smallest view-wise multiplier that shape needs. A held-out quantile over views (View-CP) then gives finite-sample validity even when transferring to new scenes. The same factorization makes the analysis exact: a conformity score is the ratio of oracle to predicted view difficulty, and excess width separates into a test-side and a calibration-side term. Across 13 real scenes, pixel-pooled calibration reaches 89.9% marginal pixel coverage but only 61.4% view-event coverage at a 90% target, while View-CP reaches 91.7--92.0%. At matched coverage VSCP cuts width by 22.1% against a constant scale, and matches a ten-model ensemble's 21.0% reduction using only one model per scene and four rather than ten rasterization passes per query. VSCP also improves on the closest single-model baseline, the 3DGS-U field, by 4.7 points (p=0.0225). The view predictor transfers from bounded source families to all nine unbounded Mip-NeRF~360 scenes. There the full scale beats the constant scale with 20.7% width saving on all nine scenes. It also keeps an 18.3% saving under a different densification backbone and runs at 216--280 FPS on an RTX~4090.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 19 of its 26 references that are in the map. First posted on arXiv 9 Sep 2026.
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References · 19
- 20233D Gaussian Splatting for Real-Time Radiance Field Renderingcited by 6,226
- 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
- 2021Mip-NeRF 360: Unbounded Anti-Aliased Neural Radiance Fieldscited by 2,032
- 2019Conformalized Quantile Regressioncited by 629
- 2022Conformal Risk Controlcited by 299
- 2022Image-to-Image Regression with Distribution-Free Uncertainty Quantification and Applications in Imagingcited by 107
- 2024PUP 3D-GS: Principled Uncertainty Pruning for 3D Gaussian Splattingcited by 95
- 2023Bayes' Rays: Uncertainty Quantification for Neural Radiance Fieldscited by 91
- 2025FastGS: Training 3D Gaussian Splatting in 100 Secondscited by 43
- 2024Probabilistic Conformal Prediction with Approximate Conditional Validitycited by 23
- 20246DGS: Enhanced Direction-Aware Gaussian Splatting for Volumetric Renderingcited by 15
- 2023Kandinsky Conformal Prediction: Efficient Calibration of Image Segmentation Algorithmscited by 14
7 more
- 2024Conformal Structured Predictioncited by 10
- 2025Uncertainty Matters in Dynamic Gaussian Splatting for Monocular 4D Reconstructioncited by 6
- 2026Predictive Photometric Uncertainty in Gaussian Splatting for Novel View Synthesiscited by 5
- 2026Uncertainty-driven 3D Gaussian Splatting Active Mapping via Anisotropic Visibility Fieldcited by 5
- 2026VarSplat: Uncertainty-aware 3D Gaussian Splatting for Robust RGB-D SLAMcited by 3
- 2025Non-Asymptotic Analysis of Efficiency in Conformalized Regressioncited by 2
- 2026Rendering-Aware Bayesian 3D Gaussian Splatting with Native Uncertainty and Adaptive Complexity Controlcited by 2
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