Skip to main content

Uncertainty Quantification for Semantic Segmentation Models via Evidential Reasoning

  • Conference paper
  • First Online:
Computer Safety, Reliability, and Security. SAFECOMP 2023 Workshops (SAFECOMP 2023)

Abstract

Deep learning models typically render decisions based on probabilistic outputs. However, in safety-critical applications such as environment perception for autonomous vehicles, erroneous decisions made by semantic segmentation models may lead to catastrophic results. Consequently, it would be beneficial if these models could explicitly indicate the reliability of their predictions. Essentially, stakeholders anticipate that deep learning models will convey the degree of uncertainty associated with their decisions. In this paper, we introduce EviSeg, a predictive uncertainty quantification method for semantic segmentation models, based on Dempster-Shafer (DS) theory. Specifically, we extract the discriminative information, i.e., the parameters and the output features from the last convolution layer of a semantic segmentation model. Subsequently, we model this multi-source evidence to the evidential weights, thereby estimating the predictive uncertainty of the semantic segmentation model with the Dempster’s rule of combination. Our proposed method does not require any changes to the model architecture, training process, or loss function. Thus, this uncertainty quantification process does not compromise the model performance. Validated on the urban road scene dataset CamVid, the proposed method enhanced computational efficiency by three to four times compared to the baseline method, while maintaining comparable performance with baseline methods. This improvement is critical for real-time applications.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Reinhold, J.C., et al.: Validating uncertainty in medical image translation. In: 2020 IEEE 17th International Symposium on Biomedical Imaging (ISBI), pp. 95–98. IEEE (2020)

    Google Scholar 

  2. Feng, D., Rosenbaum, L., Dietmayer, K.: Towards safe autonomous driving: capture uncertainty in the deep neural network for Lidar 3D vehicle detection. In: 21st International Conference on Intelligent Transportation Systems (ITSC), IEEE, 2018, pp. 3266–3273 (2018)

    Google Scholar 

  3. Kendall, A., Gal, Y.: What uncertainties do we need in Bayesian deep learning for computer vision? Adv. Neural Inf. Process. Syst. 30 (2017)

    Google Scholar 

  4. NHTSA, PE 16-007, Technical report: Tesla Crash Preliminary Evaluation Report. U.S. Department of Transportation, National Highway Traffic Safety Administration, Jan 2017

    Google Scholar 

  5. NTSB, PB2019-101402, Technical report: Highway Accident Report. National Transportation Safety Board, Nov 2019

    Google Scholar 

  6. Sensoy, M., Kaplan, L., Kandemir, M.: Evidential deep learning to quantify classification uncertainty. Adv. Neural Inf. Process. Syst. 31 (2018)

    Google Scholar 

  7. Denker, J.S., LeCun, Y.: Transforming neural- net output levels to probability distributions. In: Proceedings of the 3rd International Conference on Neural Information Processing Systems, 1990, pp. 853–859 (1990)

    Google Scholar 

  8. MacKay, D.J.: A practical Bayesian framework for backpropagation networks. Neural Comput. 4(3), 448–472 (1992)

    Article  Google Scholar 

  9. Kingma, D.P., Welling, M.: Auto-encoding variational Bayes. arXiv preprint arXiv:1312.6114 (2013)

  10. Louizos, C., Welling, M.: Multiplicative normalizing flows for variational Bayesian neural networks. In: International Conference on Machine Learning, 2017, pp. 2218–2227. PMLR (2017)

    Google Scholar 

  11. Gal, Y., Ghahramani, Z.: Dropout as a Bayesian approximation: representing model uncertainty in deep learning. In: International Conference on Machine Learning, pp. 1050–1059. PMLR (2016)

    Google Scholar 

  12. Lakshminarayanan, B., Pritzel, A., Blundell, C.: Simple and scalable predictive uncertainty estimation using deep ensembles. In: Advances in Neural Information Processing Systems 30: Annual Conference on Neural Information Processing Systems, 2017, pp. 6402–6413 (2017)

    Google Scholar 

  13. Dempster, A.P.: Upper and lower probabilities induced by a multi-valued mapping. Ann. Math. Stat. 38, 325–339 (1967)

    Article  MATH  Google Scholar 

  14. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    Google Scholar 

  15. Denœux, T.: Logistic regression, neural networks and Dempster-shafer theory: a new perspective. Knowl.-Based Syst. 176, 54–67 (2019)

    Article  Google Scholar 

  16. Kendall, A., Badrinarayanan, V., Cipolla, R.: Bayesian segnet: model uncertainty in deep convolutional encoder-decoder architectures for scene understanding. arXiv preprint arXiv:1511.02680 (2015)

  17. Krueger, D., Huang, C.W., Islam, R., et al.: Bayesian hypernetworks. arXiv preprint arXiv:1710.04759 (2017)

  18. Postels, J., Ferroni, F., Coskun, H., et al.: Sampling-free epistemic uncertainty estimation using approximated variance propagation. In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp. 2931–2940 (2019)

    Google Scholar 

  19. Malinin, A., Gales, M.: Reverse KL-divergence training of prior networks: improved uncertainty and adversarial robustness. Adv. Neural Inf. Process. Syst. 32 (2019)

    Google Scholar 

  20. Wen, Y., Tran, D., Ba, J.: Batchensemble: an alternative approach to efficient ensemble and lifelong learning. arXiv preprint arXiv:2002.06715 (2020)

  21. Huang, Z., Lam, H., Zhang, H.: Quantifying Epistemic Uncertainty in Deep Learning. arXiv preprint arXiv:2110.12122 (2021)

  22. Fu, C., Chang, W., Xu, D., et al.: An evidential reasoning approach based on criterion reliability and solution reliability. Comput. Ind. Eng. 128, 401–417 (2019)

    Article  Google Scholar 

  23. Cao, L., Liu, J., Meng, X., et al.: Inverse uncertainty quantification for imprecise structure based on evidence theory and similar system analysis. Struct. Multidiscip. Optim. 64(4), 2183–2198 (2021)

    Article  Google Scholar 

  24. Long, J., Shelhamer, E., Darrell, T.: Fully convolutional networks for semantic segmentation. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 3431–3440 (2015)

    Google Scholar 

  25. Brostow, G.J., Fauqueur, J., Cipolla, R.: Semantic object classes in video: a high-definition ground truth database. Pattern Recogn. Lett. 30(2), 88–97 (2009)

    Article  Google Scholar 

  26. Badrinarayanan, V., Kendall, A., Cipolla, R.: SegNet: a deep convolutional encoder-decoder architecture for image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 39(12), 2481–2495 (2017)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ci Liang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Wang, R., Wang, M., Liang, C., Jiang, Z. (2023). Uncertainty Quantification for Semantic Segmentation Models via Evidential Reasoning. In: Guiochet, J., Tonetta, S., Schoitsch, E., Roy, M., Bitsch, F. (eds) Computer Safety, Reliability, and Security. SAFECOMP 2023 Workshops. SAFECOMP 2023. Lecture Notes in Computer Science, vol 14182. Springer, Cham. https://doi.org/10.1007/978-3-031-40953-0_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-40953-0_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-40952-3

  • Online ISBN: 978-3-031-40953-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics