Orthogonal Ensemble Networks for Biomedical Image Segmentation
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Abstract (arXiv)
Despite the astonishing performance of deep-learning based approaches for visual tasks such as semantic segmentation, they are known to produce miscalibrated predictions, which could be harmful for critical decision-making processes. Ensemble learning has shown to not only boost the performance of individual models but also reduce their miscalibration by averaging independent predictions. In this scenario, model diversity has become a key factor, which facilitates individual models converging to different functional solutions. In this work, we introduce Orthogonal Ensemble Networks (OEN), a novel framework to explicitly enforce model diversity by means of orthogonal constraints. The proposed method is based on the hypothesis that inducing orthogonality among the constituents of the ensemble will increase the overall model diversity. We resort to a new pairwise orthogonality constraint which can be used to regularize a sequential ensemble training process, resulting on improved predictive performance and better calibrated model outputs. We benchmark the proposed framework in two challenging brain lesion segmentation tasks --brain tumor and white matter hyper-intensity segmentation in MR images. The experimental results show that our approach produces more robust and well-calibrated ensemble models and can deal with challenging tasks in the context of biomedical image segmentation.
Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). Builds on 20 of its 25 references that are in the map. First posted on arXiv 22 May 2021.
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20 of 25 references.
References · 20
- 2017On Calibration of Modern Neural Networkscited by 4,960
- 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,448
- 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,926
- 2016V-Net: Fully Convolutional Neural Networks for Volumetric Medical Image Segmentationcited by 2,292
- 2019Can You Trust Your Model's Uncertainty? Evaluating Predictive Uncertainty Under Dataset Shiftcited by 1,287
- 2018Identifying the Best Machine Learning Algorithms for Brain Tumor Segmentation, Progression Assessment, and Overall Survival Prediction in the BRATS Challengecited by 511
- 2020BatchEnsemble: An Alternative Approach to Efficient Ensemble and Lifelong Learningcited by 371
- 2017Road Extraction by Deep Residual U-Netcited by 333
- 2019Confidence Calibration and Predictive Uncertainty Estimation for Deep Medical Image Segmentationcited by 163
- 2020Hyperparameter Ensembles for Robustness and Uncertainty Quantificationcited by 150
- 2019Orthogonal Convolutional Neural Networkscited by 123
- 2019Standardized Assessment of Automatic Segmentation of White Matter Hyperintensities and Results of the WMH Segmentation Challengecited by 115
8 more
- 2020DVERGE: Diversifying Vulnerabilities for Enhanced Robust Generation of Ensemblescited by 73
- 2017Ensembles of Multiple Models and Architectures for Robust Brain Tumour Segmentationcited by 58
- 2018Attention-based Ensemble for Deep Metric Learningcited by 56
- 2018Brain Tumor Segmentation using an Ensemble of 3D U-Nets and Overall Survival Prediction using Radiomic Featurescited by 33
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- 2018Towards increased trustworthiness of deep learning segmentation methods on cardiac MRIcited by 16
- 2020Ensembling Low Precision Models for Binary Biomedical Image Segmentationcited by 7
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Citing papers per year: 2021: 4; 2022: 2; 2023: 2; 2024: 4; 2025: 3; 2026: 1.
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- 2021The Devil is in the Margin: Margin-based Label Smoothing for Network Calibrationcited by 91
- 2022Trustworthy clinical AI solutions: a unified review of uncertainty quantification in deep learning models for medical image analysiscited by 63
- 2022NestedFormer: Nested Modality-Aware Transformer for Brain Tumor Segmentationcited by 34
- 2021Existence, Stability and Scalability of Orthogonal Convolutional Neural Networkscited by 16
- 2021Maximum Entropy on Erroneous Predictions (MEEP): Improving model calibration for medical image segmentationcited by 13
- 2023Multi-Head Multi-Loss Model Calibrationcited by 8
- 2024Neighbor-Aware Calibration of Segmentation Networks with Penalty-Based Constraintscited by 7
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentationcited by 6
- 2021SUPER-Net: Trustworthy Image Segmentation via Uncertainty Propagation in Encoder-Decoder Networkscited by 4
- 2025UniMRSeg: Unified Modality-Relax Segmentation via Hierarchical Self-Supervised Compensationcited by 3
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representationcited by 2
- 2025CheXmask-U: Quantifying uncertainty in landmark-based anatomical segmentation for X-ray imagescited by 2
4 more
- 2024Bayesian Uncertainty Estimation by Hamiltonian Monte Carlo: Applications to Cardiac MRI Segmentationcited by 1
- 2026FedLAS: Feature-Modulated Bidirectional Label Smoothing for Neural Network Calibrationcited by 1
- 2023Identifying Suspicious Regions of Covid-19 by Abnormality-Sensitive Activation Mappingcited by 0
- 2024Towards stable training of parallel continual learningcited by 0
- 2026FedLAS: Feature-Modulated Bidirectional Label Smoothing for Neural Network Calibration26 Jun 2026
- 2025CheXmask-U: Quantifying uncertainty in landmark-based anatomical segmentation for X-ray images11 Dec 2025
- 2025UniMRSeg: Unified Modality-Relax Segmentation via Hierarchical Self-Supervised Compensation19 Sep 2025
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representation24 Jan 2025
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentation25 Nov 2024
- 2024Towards stable training of parallel continual learning11 Jul 2024
- 2024Bayesian Uncertainty Estimation by Hamiltonian Monte Carlo: Applications to Cardiac MRI Segmentation4 Mar 2024
- 2024Neighbor-Aware Calibration of Segmentation Networks with Penalty-Based Constraints25 Jan 2024
- 2023Identifying Suspicious Regions of Covid-19 by Abnormality-Sensitive Activation Mapping27 Mar 2023
- 2023Multi-Head Multi-Loss Model Calibration2 Mar 2023
- 2022Trustworthy clinical AI solutions: a unified review of uncertainty quantification in deep learning models for medical image analysis5 Oct 2022
- 2022NestedFormer: Nested Modality-Aware Transformer for Brain Tumor Segmentation31 Aug 2022
4 more
- 2021Maximum Entropy on Erroneous Predictions (MEEP): Improving model calibration for medical image segmentation22 Dec 2021
- 2021The Devil is in the Margin: Margin-based Label Smoothing for Network Calibration30 Nov 2021
- 2021SUPER-Net: Trustworthy Image Segmentation via Uncertainty Propagation in Encoder-Decoder Networks10 Nov 2021
- 2021Existence, Stability and Scalability of Orthogonal Convolutional Neural Networks12 Aug 2021
- 2021The Devil is in the Margin: Margin-based Label Smoothing for Network Calibrationcited by 91
- 2022Trustworthy clinical AI solutions: a unified review of uncertainty quantification in deep learning models for medical image analysiscited by 63
- 2022NestedFormer: Nested Modality-Aware Transformer for Brain Tumor Segmentationcited by 34
- 2021Existence, Stability and Scalability of Orthogonal Convolutional Neural Networkscited by 16
- 2021Maximum Entropy on Erroneous Predictions (MEEP): Improving model calibration for medical image segmentationcited by 13
- 2023Multi-Head Multi-Loss Model Calibrationcited by 8
- 2024Neighbor-Aware Calibration of Segmentation Networks with Penalty-Based Constraintscited by 7
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentationcited by 6
- 2021SUPER-Net: Trustworthy Image Segmentation via Uncertainty Propagation in Encoder-Decoder Networkscited by 4
- 2025UniMRSeg: Unified Modality-Relax Segmentation via Hierarchical Self-Supervised Compensationcited by 3
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representationcited by 2
- 2025CheXmask-U: Quantifying uncertainty in landmark-based anatomical segmentation for X-ray imagescited by 2
12 most cited of 16 All 16 (JSON)
- 2026FedLAS: Feature-Modulated Bidirectional Label Smoothing for Neural Network Calibration26 Jun 2026
- 2025CheXmask-U: Quantifying uncertainty in landmark-based anatomical segmentation for X-ray images11 Dec 2025
- 2025UniMRSeg: Unified Modality-Relax Segmentation via Hierarchical Self-Supervised Compensation19 Sep 2025
- 2025Fairness of Deep Ensembles: On the interplay between per-group task difficulty and under-representation24 Jan 2025
- 2024A Review of Bayesian Uncertainty Quantification in Deep Probabilistic Image Segmentation25 Nov 2024
- 2024Towards stable training of parallel continual learning11 Jul 2024
- 2024Bayesian Uncertainty Estimation by Hamiltonian Monte Carlo: Applications to Cardiac MRI Segmentation4 Mar 2024
- 2024Neighbor-Aware Calibration of Segmentation Networks with Penalty-Based Constraints25 Jan 2024
- 2023Identifying Suspicious Regions of Covid-19 by Abnormality-Sensitive Activation Mapping27 Mar 2023
- 2023Multi-Head Multi-Loss Model Calibration2 Mar 2023
- 2022Trustworthy clinical AI solutions: a unified review of uncertainty quantification in deep learning models for medical image analysis5 Oct 2022
- 2022NestedFormer: Nested Modality-Aware Transformer for Brain Tumor Segmentation31 Aug 2022
12 newest of 16 All 16 (JSON)