TRADI: Tracking deep neural network weight distributions for uncertainty estimation
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Abstract (arXiv)
During training, the weights of a Deep Neural Network (DNN) are optimized from a random initialization towards a nearly optimum value minimizing a loss function. Only this final state of the weights is typically kept for testing, while the wealth of information on the geometry of the weight space, accumulated over the descent towards the minimum is discarded. In this work we propose to make use of this knowledge and leverage it for computing the distributions of the weights of the DNN. This can be further used for estimating the epistemic uncertainty of the DNN by sampling an ensemble of networks from these distributions. To this end we introduce a method for tracking the trajectory of the weights during optimization, that does not require any changes in the architecture nor on the training procedure. We evaluate our method on standard classification and regression benchmarks, and on out-of-distribution detection for classification and semantic segmentation. We achieve competitive results, while preserving computational efficiency in comparison to other popular approaches.
Key facts. Cited by 39 papers in the map (data through 7 Oct 2026). First posted on arXiv 24 Dec 2019.
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Citing papers per year: 2021: 9; 2022: 11; 2023: 11; 2024: 3; 2025: 4; 2026: 1.
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- 2022Packed-Ensembles for Efficient Uncertainty Estimationcited by 49
- 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognitioncited by 42
- 2023PaSCo: Urban 3D Panoptic Scene Completion with Uncertainty Awarenesscited by 42
- 2021Triggering Failures: Out-Of-Distribution detection by learning from local adversarial attacks in Semantic Segmentationcited by 40
- 2023Maskomaly:Zero-Shot Mask Anomaly Segmentationcited by 34
- 2022MUAD: Multiple Uncertainties for Autonomous Driving, a benchmark for multiple uncertainty types and taskscited by 24
- 2021Robust Semantic Segmentation with Superpixel-Mixcited by 19
- 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentationcited by 18
- 2021Dense outlier detection and open-set recognition based on training with noisy negative imagescited by 17
- 2022Latent Discriminant deterministic Uncertaintycited by 17
- 2023Make Me a BNN: A Simple Strategy for Estimating Bayesian Uncertainty from Pre-trained Modelscited by 15
- 2023A Symmetry-Aware Exploration of Bayesian Neural Network Posteriorscited by 12
27 more
- 2024Towards Understanding and Quantifying Uncertainty for Text-to-Image Generationcited by 11
- 2021Dense Out-of-Distribution Detection by Robust Learning on Synthetic Negative Datacited by 10
- 2022C^*-algebra Net: A New Approach Generalizing Neural Network Parameters to C^*-algebracited by 9
- 2023Hybrid Open-set Segmentation with Synthetic Negative Datacited by 8
- 2023ProbVLM: Probabilistic Adapter for Frozen Vision-Language Modelscited by 7
- 2021A Generalized Zero-Shot Quantization of Deep Convolutional Neural Networks via Learned Weights Statisticscited by 6
- 2023The Robust Semantic Segmentation UNCV2023 Challenge Resultscited by 5
- 2024Quantum-Cognitive Neural Networks: Assessing Confidence and Uncertainty with Human Decision-Making Simulationscited by 4
- 2025Torch-Uncertainty: A Deep Learning Framework for Uncertainty Quantificationcited by 4
- 2022Probing Contextual Diversity for Dense Out-of-Distribution Detectioncited by 3
- 2023Likelihood Annealing: Fast Calibrated Uncertainty for Regressioncited by 3
- 2025Improving Semantic Uncertainty Quantification in LVLMs with Semantic Gaussian Processescited by 3
- 2022Block Format Error Bounds and Optimal Block Size Selectioncited by 2
- 2022Statistical Modeling of Soft Error Influence on Neural Networkscited by 2
- 2022Pixel is All You Need: Adversarial Trajectory-Ensemble Active Learning for Salient Object Detectioncited by 2
- 2023Learning to Generate Training Datasets for Robust Semantic Segmentationcited by 2
- 2023Compiled Models, Built-In Exploits: Uncovering Pervasive Bit-Flip Attack Surfaces in DNN Executablescited by 2
- 2025Exploiting Unstructured Sparsity in Fully Homomorphic Encrypted DNNscited by 2
- 2024Partitioned Neural Network Training via Synthetic Intermediate Labelscited by 1
- 2021Intrinsic uncertainties and where to find themcited by 0
- 2021Learning a Discriminant Latent Space with Neural Discriminant Analysiscited by 0
- 2021Anomaly-Aware Semantic Segmentation by Leveraging Synthetic-Unknown Datacited by 0
- 2021Anomaly Discovery in Semantic Segmentation via Distillation Comparison Networkscited by 0
- 2022Instance-Aware Observer Network for Out-of-Distribution Object Segmentationcited by 0
- 2022Smooth Mathematical Function from Compact Neural Networkscited by 0
- 2025Efficient Continual Learning in Neural Machine Translation: A Low-Rank Adaptation Approachcited by 0
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generationcited by 0
- 2026Leveraging Visual Signals for Robust Token-Level Uncertainty in Vision-Language Generation26 May 2026
- 2025Improving Semantic Uncertainty Quantification in LVLMs with Semantic Gaussian Processes16 Dec 2025
- 2025Efficient Continual Learning in Neural Machine Translation: A Low-Rank Adaptation Approach10 Dec 2025
- 2025Torch-Uncertainty: A Deep Learning Framework for Uncertainty Quantification13 Nov 2025
- 2025Exploiting Unstructured Sparsity in Fully Homomorphic Encrypted DNNs12 Mar 2025
- 2024Quantum-Cognitive Neural Networks: Assessing Confidence and Uncertainty with Human Decision-Making Simulations11 Dec 2024
- 2024Towards Understanding and Quantifying Uncertainty for Text-to-Image Generation4 Dec 2024
- 2024Partitioned Neural Network Training via Synthetic Intermediate Labels17 Mar 2024
- 2023Make Me a BNN: A Simple Strategy for Estimating Bayesian Uncertainty from Pre-trained Models23 Dec 2023
- 2023PaSCo: Urban 3D Panoptic Scene Completion with Uncertainty Awareness4 Dec 2023
- 2023A Symmetry-Aware Exploration of Bayesian Neural Network Posteriors12 Oct 2023
- 2023The Robust Semantic Segmentation UNCV2023 Challenge Results27 Sep 2023
27 more
- 2023Compiled Models, Built-In Exploits: Uncovering Pervasive Bit-Flip Attack Surfaces in DNN Executables12 Sep 2023
- 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentation8 Sep 2023
- 2023Learning to Generate Training Datasets for Robust Semantic Segmentation1 Aug 2023
- 2023ProbVLM: Probabilistic Adapter for Frozen Vision-Language Models1 Jul 2023
- 2023Maskomaly:Zero-Shot Mask Anomaly Segmentation26 May 2023
- 2023Likelihood Annealing: Fast Calibrated Uncertainty for Regression21 Feb 2023
- 2023Hybrid Open-set Segmentation with Synthetic Negative Data19 Jan 2023
- 2022Smooth Mathematical Function from Compact Neural Networks31 Dec 2022
- 2022Pixel is All You Need: Adversarial Trajectory-Ensemble Active Learning for Salient Object Detection13 Dec 2022
- 2022Packed-Ensembles for Efficient Uncertainty Estimation17 Oct 2022
- 2022Statistical Modeling of Soft Error Influence on Neural Networks12 Oct 2022
- 2022Block Format Error Bounds and Optimal Block Size Selection11 Oct 2022
- 2022Probing Contextual Diversity for Dense Out-of-Distribution Detection30 Aug 2022
- 2022Latent Discriminant deterministic Uncertainty20 Jul 2022
- 2022Instance-Aware Observer Network for Out-of-Distribution Object Segmentation18 Jul 2022
- 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognition6 Jul 2022
- 2022C^*-algebra Net: A New Approach Generalizing Neural Network Parameters to C^*-algebra20 Jun 2022
- 2022MUAD: Multiple Uncertainties for Autonomous Driving, a benchmark for multiple uncertainty types and tasks2 Mar 2022
- 2021Dense Out-of-Distribution Detection by Robust Learning on Synthetic Negative Data23 Dec 2021
- 2021Anomaly Discovery in Semantic Segmentation via Distillation Comparison Networks18 Dec 2021
- 2021A Generalized Zero-Shot Quantization of Deep Convolutional Neural Networks via Learned Weights Statistics6 Dec 2021
- 2021Anomaly-Aware Semantic Segmentation by Leveraging Synthetic-Unknown Data29 Nov 2021
- 2021Triggering Failures: Out-Of-Distribution detection by learning from local adversarial attacks in Semantic Segmentation3 Aug 2021
- 2021Robust Semantic Segmentation with Superpixel-Mix2 Aug 2021
- 2021Learning a Discriminant Latent Space with Neural Discriminant Analysis13 Jul 2021
- 2021Intrinsic uncertainties and where to find them6 Jul 2021
- 2021Dense outlier detection and open-set recognition based on training with noisy negative images22 Jan 2021
- 2022Packed-Ensembles for Efficient Uncertainty Estimationcited by 49
- 2022DenseHybrid: Hybrid Anomaly Detection for Dense Open-set Recognitioncited by 42
- 2023PaSCo: Urban 3D Panoptic Scene Completion with Uncertainty Awarenesscited by 42
- 2021Triggering Failures: Out-Of-Distribution detection by learning from local adversarial attacks in Semantic Segmentationcited by 40
- 2023Maskomaly:Zero-Shot Mask Anomaly Segmentationcited by 34
- 2022MUAD: Multiple Uncertainties for Autonomous Driving, a benchmark for multiple uncertainty types and taskscited by 24
- 2021Robust Semantic Segmentation with Superpixel-Mixcited by 19
- 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentationcited by 18
- 2021Dense outlier detection and open-set recognition based on training with noisy negative imagescited by 17
- 2022Latent Discriminant deterministic Uncertaintycited by 17
- 2023Make Me a BNN: A Simple Strategy for Estimating Bayesian Uncertainty from Pre-trained Modelscited by 15
- 2023A Symmetry-Aware Exploration of Bayesian Neural Network Posteriorscited by 12
12 most cited of 36 All 36 (JSON)
- 2025Efficient Continual Learning in Neural Machine Translation: A Low-Rank Adaptation Approach10 Dec 2025
- 2025Torch-Uncertainty: A Deep Learning Framework for Uncertainty Quantification13 Nov 2025
- 2025Exploiting Unstructured Sparsity in Fully Homomorphic Encrypted DNNs12 Mar 2025
- 2024Quantum-Cognitive Neural Networks: Assessing Confidence and Uncertainty with Human Decision-Making Simulations11 Dec 2024
- 2024Towards Understanding and Quantifying Uncertainty for Text-to-Image Generation4 Dec 2024
- 2024Partitioned Neural Network Training via Synthetic Intermediate Labels17 Mar 2024
- 2023Make Me a BNN: A Simple Strategy for Estimating Bayesian Uncertainty from Pre-trained Models23 Dec 2023
- 2023PaSCo: Urban 3D Panoptic Scene Completion with Uncertainty Awareness4 Dec 2023
- 2023A Symmetry-Aware Exploration of Bayesian Neural Network Posteriors12 Oct 2023
- 2023The Robust Semantic Segmentation UNCV2023 Challenge Results27 Sep 2023
- 2023Compiled Models, Built-In Exploits: Uncovering Pervasive Bit-Flip Attack Surfaces in DNN Executables12 Sep 2023
- 2023Mask2Anomaly: Mask Transformer for Universal Open-set Segmentation8 Sep 2023
12 newest of 36 All 36 (JSON)