Spatial Uncertainty Sampling for End-to-End Control
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Abstract (arXiv)
End-to-end trained neural networks (NNs) are a compelling approach to autonomous vehicle control because of their ability to learn complex tasks without manual engineering of rule-based decisions. However, challenging road conditions, ambiguous navigation situations, and safety considerations require reliable uncertainty estimation for the eventual adoption of full-scale autonomous vehicles. Bayesian deep learning approaches provide a way to estimate uncertainty by approximating the posterior distribution of weights given a set of training data. Dropout training in deep NNs approximates Bayesian inference in a deep Gaussian process and can thus be used to estimate model uncertainty. In this paper, we propose a Bayesian NN for end-to-end control that estimates uncertainty by exploiting feature map correlation during training. This approach achieves improved model fits, as well as tighter uncertainty estimates, than traditional element-wise dropout. We evaluate our algorithms on a challenging dataset collected over many different road types, times of day, and weather conditions, and demonstrate how uncertainties can be used in conjunction with a human controller in a parallel autonomous setting.
Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). First posted on arXiv 13 May 2018.
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Citing papers per year: 2021: 3; 2022: 2; 2023: 2; 2024: 3; 2025: 1; 2026: 2.
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- 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
- 2023VRA: Variational Rectified Activation for Out-of-distribution Detectioncited by 15
- 2021Shift-BNN: Highly-Efficient Probabilistic Bayesian Neural Network Training via Memory-Friendly Pattern Retrievingcited by 3
- 2023Symmetrical SyncMap for Imbalanced General Chunking Problemscited by 3
- 2021Marginally calibrated response distributions for end-to-end learning in autonomous drivingcited by 2
- 2022Frequency Dropout: Feature-Level Regularization via Randomized Filteringcited by 2
- 2022Evidence-based Match-status-Aware Gait Recognition for Out-of-Gallery Gait Identificationcited by 2
- 2025I-GLIDE: Input Groups for Latent Health Indicators in Degradation Estimationcited by 2
- 2024Evaluating deep learning models for fault diagnosis of a rotating machinery with epistemic and aleatoric uncertaintycited by 1
- 2024Enhancing Out-of-Distribution Detection with Multitesting-based Layer-wise Feature Fusioncited by 0
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropoutcited by 0
- 2026Single-Eye View: Monocular Real-time Perception Package for Autonomous Drivingcited by 0
- 2026A Cubing Strategy for Identifying Stable Hyperparameter Regions for Uncertainty Quantification in Spatial Deep Learning15 May 2026
- 2026Single-Eye View: Monocular Real-time Perception Package for Autonomous Driving22 Mar 2026
- 2025I-GLIDE: Input Groups for Latent Health Indicators in Degradation Estimation26 Nov 2025
- 2024Evaluating deep learning models for fault diagnosis of a rotating machinery with epistemic and aleatoric uncertainty25 Dec 2024
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropout24 Nov 2024
- 2024Enhancing Out-of-Distribution Detection with Multitesting-based Layer-wise Feature Fusion16 Mar 2024
- 2023Symmetrical SyncMap for Imbalanced General Chunking Problems16 Oct 2023
- 2023VRA: Variational Rectified Activation for Out-of-distribution Detection23 Feb 2023
- 2022Evidence-based Match-status-Aware Gait Recognition for Out-of-Gallery Gait Identification15 Nov 2022
- 2022Frequency Dropout: Feature-Level Regularization via Randomized Filtering20 Sep 2022
- 2021Shift-BNN: Highly-Efficient Probabilistic Bayesian Neural Network Training via Memory-Friendly Pattern Retrieving7 Oct 2021
- 2021Marginally calibrated response distributions for end-to-end learning in autonomous driving3 Oct 2021
1 more
- 2021A Survey of Uncertainty in Deep Neural Networks7 Jul 2021
- 2021A Survey of Uncertainty in Deep Neural Networkscited by 680
- 2023VRA: Variational Rectified Activation for Out-of-distribution Detectioncited by 15
- 2021Shift-BNN: Highly-Efficient Probabilistic Bayesian Neural Network Training via Memory-Friendly Pattern Retrievingcited by 3
- 2023Symmetrical SyncMap for Imbalanced General Chunking Problemscited by 3
- 2022Frequency Dropout: Feature-Level Regularization via Randomized Filteringcited by 2
- 2022Evidence-based Match-status-Aware Gait Recognition for Out-of-Gallery Gait Identificationcited by 2
- 2025I-GLIDE: Input Groups for Latent Health Indicators in Degradation Estimationcited by 2
- 2024Evaluating deep learning models for fault diagnosis of a rotating machinery with epistemic and aleatoric uncertaintycited by 1
- 2024Enhancing Out-of-Distribution Detection with Multitesting-based Layer-wise Feature Fusioncited by 0
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropoutcited by 0
- 2026A Cubing Strategy for Identifying Stable Hyperparameter Regions for Uncertainty Quantification in Spatial Deep Learningcited by 0
- 2026A Cubing Strategy for Identifying Stable Hyperparameter Regions for Uncertainty Quantification in Spatial Deep Learning15 May 2026
- 2025I-GLIDE: Input Groups for Latent Health Indicators in Degradation Estimation26 Nov 2025
- 2024Evaluating deep learning models for fault diagnosis of a rotating machinery with epistemic and aleatoric uncertainty25 Dec 2024
- 2024Customer Lifetime Value Prediction with Uncertainty Estimation Using Monte Carlo Dropout24 Nov 2024
- 2024Enhancing Out-of-Distribution Detection with Multitesting-based Layer-wise Feature Fusion16 Mar 2024
- 2023Symmetrical SyncMap for Imbalanced General Chunking Problems16 Oct 2023
- 2023VRA: Variational Rectified Activation for Out-of-distribution Detection23 Feb 2023
- 2022Evidence-based Match-status-Aware Gait Recognition for Out-of-Gallery Gait Identification15 Nov 2022
- 2022Frequency Dropout: Feature-Level Regularization via Randomized Filtering20 Sep 2022
- 2021Shift-BNN: Highly-Efficient Probabilistic Bayesian Neural Network Training via Memory-Friendly Pattern Retrieving7 Oct 2021
- 2021A Survey of Uncertainty in Deep Neural Networks7 Jul 2021