Uncertainty Estimation for Deep Reconstruction in Actuatic Disaster Scenarios with Autonomous Vehicles
Authors: Samuel Yanes Luis, Alejandro Casado Pérez, Alejandro Mendoza Barrionuevo, Dame Seck Diop, Sergio Toral Marín, Daniel Gutiérrez Reina
Organizations: Department of Electronic Technology, University of Sevilla, Av. de la Reina Mercedes S/N, 41012, Sevilla, Spain. · Department of Electronic Engineering, University of Sevilla, Av. de los Descubrimientos S/N, 41005, Sevilla, Spain.
Accurate reconstruction of environmental scalar fields from sparse onboard observations is essential for autonomous vehicles engaged in aquatic monitoring. Beyond point estimates, principled uncertainty quantification is critical for active sensing strategies such as Informative Path Planning, where epistemic uncertainty drives data collection decisions. This paper compares Gaussian Processes, Monte Carlo Dropout, Deep Ensembles, and Evidential Deep Learning for simultaneous scalar field reconstruction and uncertainty decomposition under three perceptual models representative of real sensor modalities. Results show that Evidential Deep Learning achieves the best reconstruction accuracy and uncertainty calibration across all sensor configurations at the lowest inference cost, while Gaussian Processes are fundamentally limited by their stationary kernel assumption and become intractable as observation density grows. These findings support Evidential Deep Learning as the preferred method for uncertainty-aware field reconstruction in real-time autonomous vehicle deployments.
Figures & tables
Figure 1: Example field and observation footprints for the three perceptual models for a particular scenario (left): (a) Conic FOV, (b) Point-wise sensor, (c) Nadir-looking camera. Top row shows the measured values, while the bottom row shows the corresponding observation masks. Both matrices are fed into the U-Net.
Method
Conic FOV
Nadir
Pointwise
EDL
0.0274±0.0234
0.0293±0.0209
0.0272±0.0204
Ensemble
0.0506±0.0238
0.0570±0.0200
0.0586±0.0188
MC Dropout
0.0878±0.0222
0.0915±0.0160
0.0992±0.0167
GP
0.1146±0.0348
0.1193±0.0648
0.1146±0.0321
Table 1: RMSE (mean ± std) across 400 test samples per dataset. Best result per column in bold .
Method
Conic FOV
Nadir
Pointwise
EDL
0.0018±0.0031
0.0016±0.0025
0.0013±0.0022
Ensemble
0.0026±0.0016
0.0040±0.0016
0.0040±0.0017
MC Dropout
0.0084±0.0026
0.0063±0.0018
0.0110±0.0029
GP
0.0110±0.0158
0.0241±0.2443
0.0096±0.0093
Table 2: UCE (mean ± std) across 400 test samples per dataset. Best result per column in bold .
Figure 2: Calibration curves for each method and perceptual model. The x-axis represents the normalized predicted uncertainty bins, while the y-axis shows the corresponding normalized empirical error. The closer the curve is to the diagonal, the better the calibration.
Method
Conic FOV
Nadir
Pointwise
EDL
7.1±1.5
7.2±1.4
7.4±1.3
Ensemble
20.3±2.5
20.6±0.5
20.9±0.6
MC Dropout
202.4±12.4
202.0±2.7
207.1±8.3
GP
2247.1
531.8
81.2
Table 3: Mean inference time per sample (ms). Best result per column in bold .
Informative Path Planning for scalar field reconstruction uses predictive uncertainty to direct sensing vehicles toward maximally informative locations. Gaussian Processes provide this signal but their stationary isotropic kernels are misspecified for non-homogeneous phenomena such as oil spills, producing miscalibrated estimates that degrade planning. We investigate whether replacing the Gaussian Process with a well-calibrated Deep Ensemble improves path planning outcomes, and whether uncertainty quality interacts with the choice of planning algorithm. Five strategies (ε-Greedy, Value Greedy, Uncertainty Greedy, Monte Carlo Tree Search, and Receding Horizon Orienteering) share a common Deep Ensemble backbone trained on physics-based oil spill simulations. On held-out stochastic spill scenarios, the Deep Ensemble reduces normalised reconstruction error by 83% relative to the Gaussian Process baseline. Crucially, well-calibrated uncertainty amplifies the importance of the planning strategy: the performance gap between algorithms is negligible under miscalibrated models but becomes substantial under the ensemble, where multi-step lookahead planners outperform greedy selection by up to 32% in reconstruction error and achieve IoU above 0.85. Monte Carlo Tree Search is the recommended planner, matching Orienteering in reconstruction quality at an order-of-magnitude lower computational cost.
Samuel Yanes Luis, Alejandro Casado Pérez, Alejandro Mendoza Barrionuevo +3
Department of Electronic Technology, University of Sevilla, Sevilla, Spain · Department of Electronic Engineering, University of Sevilla, Sevilla, Spain
Recent advances in 3D Gaussian Splatting have enabled impressive photorealistic novel view synthesis. However, to transition from a pure rendering engine to a reliable spatial map for autonomous agents and safety-critical applications, knowing where the representation is uncertain is as important as the rendering fidelity itself. We bridge this critical gap by introducing a lightweight, plug-and-play framework for pixel-wise, view-dependent predictive uncertainty estimation. Our post-hoc method formulates uncertainty as a Bayesian-regularized linear least-squares optimization over reconstruction residuals. This architecture-agnostic approach extracts a per-primitive uncertainty channel without modifying the underlying scene representation or degrading baseline visual fidelity. Crucially, we demonstrate that providing this actionable reliability signal successfully translates 3D Gaussian splatting into a trustworthy spatial map, further improving state-of-the-art performance across three critical downstream perception tasks: active view selection, pose-agnostic scene change detection, and pose-agnostic anomaly detection.
Chamuditha Jayanga Galappaththige, Thomas Gottwald, Peter Stehr +4
QUT Centre for Robotics, Australia · ARIAM Hub, Australia · University of Wuppertal, Germany +1
We present DynActiveGS, a dynamic-aware active reconstruction framework based on 3D Gaussian Splatting (3DGS) for autonomous exploration in dynamic environments. The framework incrementally reconstructs a 3D Gaussian scene representation while suppressing motion-corrupted observations through online uncertainty prediction and uncertainty-weighted Gaussian optimization. A key component of DynActiveGS is the explicit decomposition of uncertainty into structural uncertainty and motion-induced uncertainty, which enables the system to distinguish under-reconstructed static regions from dynamically unreliable areas. Based on these uncertainty fields, DynActiveGS performs dynamic-aware viewpoint selection and dynamic-constrained path planning to favor informative yet stable observations during exploration. The resulting system forms a unified closed-loop pipeline for robust active reconstruction in dynamic scenes. Extensive experiments on challenging dynamic benchmarks demonstrate consistent improvements over existing active reconstruction baselines in reconstruction accuracy, completeness, rendering quality, and exploration efficiency.
Hongbo Duan, Pengting Luo, Chengzhi Zhao +3
Tsinghua University, Shenzhen International Graduate School Shenzhen, Guangdong, China · Huawei Technologies Ltd Shenzhen, Guangdong, China · Harbin Institute of Technology, Shenzhen Shenzhen, Guangdong, China +1