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PH-Dropout: Practical Epistemic Uncertainty Quantification for View Synthesis (2410.05468v2)

Published 7 Oct 2024 in cs.CV

Abstract: View synthesis using Neural Radiance Fields (NeRF) and Gaussian Splatting (GS) has demonstrated impressive fidelity in rendering real-world scenarios. However, practical methods for accurate and efficient epistemic Uncertainty Quantification (UQ) in view synthesis are lacking. Existing approaches for NeRF either introduce significant computational overhead (e.g., 10x increase in training time" or10x repeated training") or are limited to specific uncertainty conditions or models. Notably, GS models lack any systematic approach for comprehensive epistemic UQ. This capability is crucial for improving the robustness and scalability of neural view synthesis, enabling active model updates, error estimation, and scalable ensemble modeling based on uncertainty. In this paper, we revisit NeRF and GS-based methods from a function approximation perspective, identifying key differences and connections in 3D representation learning. Building on these insights, we introduce PH-Dropout (Post hoc Dropout), the first real-time and accurate method for epistemic uncertainty estimation that operates directly on pre-trained NeRF and GS models. Extensive evaluations validate our theoretical findings and demonstrate the effectiveness of PH-Dropout.

Summary

  • The paper introduces PH-Dropout, a method for real-time epistemic uncertainty estimation in view synthesis models, eliminating the need for retraining.
  • It leverages parameter redundancy in NeRF and GS architectures to quantify test-view variance, correlating well with prediction errors across diverse benchmarks.
  • Empirical results highlight PH-Dropout's effectiveness in active learning and ensemble tasks, offering a robust approach to uncertainty-aware rendering.

Overview of PH-Dropout: Practical Epistemic Uncertainty Quantification for View Synthesis

The paper presents PH-Dropout, an innovative method for real-time estimation of epistemic uncertainty in view synthesis, specifically targeting Neural Radiance Fields (NeRF) and Gaussian Splatting (GS) models. Despite the advancements in rendering fidelity using NeRF and GS, the necessity for efficient epistemic uncertainty quantification (UQ) remains, which is critical for robust model updates, error estimation, and scalable ensemble modeling.

Contributions and Methodology

PH-Dropout is introduced as the first method capable of performing real-time epistemic uncertainty estimation without the need for retraining, applicable to both NeRF and GS models. Key insights into the function approximation perspective of these models reveal that parameter redundancy is prevalent, where dropout in trained layers does not compromise performance on the training set but shows significant variance on test views. This redundancy is employed to facilitate a post hoc uncertainty estimation process.

The PH-Dropout algorithm operates by injecting dropout into trained fully connected layers or splats, adjusting the dropout ratio until the training set's performance remains unaffected. The resulting variance on the testing set quantifies epistemic uncertainty. This approach is implemented quickly due to the heavy parameter redundancy inherent in NeRF and GS models, which theoretically necessitates this redundancy for effective convergence.

Theoretical Foundations and Validation

The authors provide robust theoretical underpinnings for the method, ensuring effectiveness across NeRF and GS models. The continuous nature of the rendering function and associated parameter redundancy ensures PH-Dropout's applicability. Extensive empirical evaluation validates PH-Dropout's effectiveness in correlating uncertainty with prediction errors, as well as its efficiency in active learning and ensemble tasks. The method demonstrates significant speed improvements over existing uncertainty estimation strategies.

Empirical Evaluation and Results

PH-Dropout's effectiveness is highlighted across multiple datasets, including Blender, Tanks and Temples, and LLFF. The evaluation encompasses bounded and unbounded scenarios, establishing a decrease in epistemic uncertainty with an increasing number of training views. Metrics such as $\rho_{\text{U}$ and $\rho_{\text{R}$ indicate strong correlations, confirming PH-Dropout's suitability for active learning applications. Moreover, the method's ability to closely match or exceed individual model fidelity in ensemble scenarios underscores its practical utility.

Limitations and Future Research

While PH-Dropout effectively handles uncertainties in NeRF and GS, it shows limitations with hash encoding-based models due to inherent overconfidence from hash collisions. Future research could explore extending PH-Dropout's application scope beyond view synthesis, addressing its limitations by adapting the approach for different architectural frameworks or developing alternatives that account for the unique challenges posed by hash-based encoding.

In conclusion, PH-Dropout offers a significant advancement in practical epistemic UQ for view synthesis, enhancing robustness and reliability in model predictions. Its integration into various downstream applications signifies a promising step towards sophisticated, uncertainty-aware rendering processes. The method sets a foundation for future exploration into efficient UQ methodologies applicable to broader AI contexts.

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