Nondeterministic Features in Deep neural network design, training and inference

Authors

  • Jackob Antonion
  • Annie Wang
  • Maziar Raissi
  • Ribana Joshie

DOI:

https://doi.org/10.54097/aze6m665

Keywords:

Neural Networks, Machine Learning, Real-World Applications, Data Uncertainty, Deterministic Neural Networks.

Abstract

Neural networks are increasingly integral to scientific modeling and a wide range of real-world applications. However, standard neural networks often lack reliable certainty and confidence, and can be poorly calibrated, leading to nondeterministic results. To address these challenges, researchers have focused on understanding and quantifying uncertainty in neural network predictions. This work offers a comprehensive discussion of uncertainty estimation in neural networks, discussing recent advances, current challenges, and future research opportunities. This work explains key sources of uncertainty, challenges from model uncertainty and irreducible data uncertainty. We explore various methods for modeling these uncertainties, such as deterministic neural networks, Bayesian neural networks (BNNs), ensembles, and test-time data augmentation approaches. Additionally, the paper provides practical examples from fields like medical data analysis, robotics, and autonomous driving, illustrating the challenges and requirements associated with uncertainty in real-world applications. We also examine the limitations of current uncertainty quantification methods in safety-critical applications, and provide an outlook on future developments aimed at broader adoption of these methods in diverse domains. This paper serves as a valuable resource for both newcomers and those experienced in the field of uncertainty estimation in neural networks.

References

[1] J. Yao, B. Yuan, Research on the Application and Optimization Strategies of Deep Learning in Large Language Models, Journal of Theory and Practice of Engineering Science 4(05) (2024) 88-94.

[2] J. Guo, L. Du, H. Liu, M. Zhou, X. He, S. Han, Gpt4graph: Can large language models understand graph structured data? an empirical evaluation and benchmarking, arXiv preprint arXiv:2305.15066 (2023).

[3] S. Cao, J. Xiao, On Efficient and Flexible Autonomous Robotic Insertion Assembly in the Presence of Uncertainty, IEEE Robotics and Automation Letters (2024).

[4] J. Huo, Y. Wang, N. Wang, W. Gao, J. Zhou, Y. Cao, Data-driven design and optimization of ultra-tunable acoustic metamaterials, Smart Materials and Structures 32(5) (2023) 05LT01.

[5] H. Guo, A.B. Tikhomirov, A. Mitchell, I.P.J. Alwayn, H. Zeng, K.C. Hewitt, Real-time assessment of liver fat content using a filter-based Raman system operating under ambient light through lock-in amplification, Biomedical Optics Express 13(10) (2022) 5231-5245.

[6] H. Guo, A.E. Stueck, J.B. Doppenberg, Y.S. Chae, A.B. Tikhomirov, H. Zeng, M.A. Engelse, B.L. Gala-Lopez, A. Mahadevan-Jansen, I.P. Alwayn, Evaluation of minimum-to-severe global and macrovesicular steatosis in human liver specimens: a portable ambient light-compatible spectroscopic probe, medRxiv (2023) 2023.12. 04.23299259.

[7] D. Petroff, V. Blank, P.N. Newsome, C.S. Voican, M. Thiele, V. de Lédinghen, S. Baumeler, W.K. Chan, G. Perlemuter, A.-C. Cardoso, Assessment of hepatic steatosis by controlled attenuation parameter using the M and XL probes: an individual patient data meta-analysis, The Lancet Gastroenterology & Hepatology 6(3) (2021) 185-198.

[8] H. Guo, A.E. Stueck, J.B. Doppenberg, Y.S. Chae, A.B. Tikhomirov, H. Zeng, B.L. Gala-Lopez, A. Mahadevan-Jansen, M.A. Engelse, I.P. Alwayn, Assessment of liver steatosis using an ambient light-compatible Raman system: enhancing specificity with supplementary reflectance information, Biomedical Vibrational Spectroscopy 2024: Advances in Research and Industry, SPIE, 2024, p. PC128390B.

[9] H. Guo, A.E. Stueck, A.B. Tikhomirov, H. Zeng, I.P. Alwayn, B.L. Gala-Lopez, A. Mahadevan-Jansen, A.K. Locke, K.C. Hewitt, Evaluation of Steatosis in Human Liver Specimens Using an Ambient Light-compatible Raman Spectroscopy Approach, Bio-Optics: Design and Application, Optica Publishing Group, 2023, p. JTu4B. 26.

[10] H. Guo, V.S. Zions, B.A. Law, K. Hewitt, Potential of Raman-reflectance combination to quantify liver steatosis and fat droplet size: evidence from Monte Carlo simulations and phantom studies, Authorea Preprints (2024).

[11] H. Guo, B.L. Gala-Lopez, I.P. Alwayn, K.C. Hewitt, Liver discard rate due to conservative estimations of steatosis: an inference-based approach, medRxiv (2023) 2023.12. 04.23299406.

[12] K. Huang, X. Chen, X. Di, Q. Du, Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach, Transportation Research Part C: Emerging Technologies 128 (2021) 103189.

[13] A.G. Wilson, P. Izmailov, Bayesian deep learning and a probabilistic perspective of generalization, Advances in neural information processing systems 33 (2020) 4697-4708.

[14] A.G. Roy, S. Conjeti, N. Navab, C. Wachinger, A.s.D.N. Initiative, Bayesian QuickNAT: Model uncertainty in deep whole-brain segmentation for structure-wise quality control, NeuroImage 195 (2019) 11-22.

[15] M. Yin, Millimeter Wave Wireless Assisted Indoor Robot Navigation, New York University Tandon School of Engineering, 2024.

[16] K. Pfeiffer, Y. Jia, M. Yin, A.K. Veldanda, Y. Hu, A. Trivedi, J. Zhang, S. Garg, E. Erkip, S. Rangan, Path planning under uncertainty to localize mmWave sources, 2023 IEEE International Conference on Robotics and Automation (ICRA), IEEE, 2023, pp. 3461-3467.

[17] M. Yin, A.K. Veldanda, A. Trivedi, J. Zhang, K. Pfeiffer, Y. Hu, S. Garg, E. Erkip, L. Righetti, S. Rangan, Millimeter wave wireless assisted robot navigation with link state classification, IEEE Open Journal of the Communications Society 3 (2022) 493-507.

[18] Y. Hu, M. Yin, W. Xia, S. Rangan, M. Mezzavilla, Multi-frequency channel modeling for millimeter wave and thz wireless communication via generative adversarial networks, 2022 56th Asilomar Conference on Signals, Systems, and Computers, IEEE, 2022, pp. 670-676.

[19] H. Abedi, S. Luo, V. Mazumdar, M.M. Riad, G. Shaker, AI-powered in-vehicle passenger monitoring using low-cost mm-wave radar, IEEE Access 10 (2021) 18998-19012.

[20] X. Chen, X. Di, Ridesharing user equilibrium with nodal matching cost and its implications for congestion tolling and platform pricing, Transportation Research Part C: Emerging Technologies 129 (2021) 103233.

[21] X. Chen, X. Di, Z. Li, Social Learning for Sequential Driving Dilemmas, Games 14(3) (2023) 41.

[22] X. Chen, Z. Li, X. Di, Social learning in Markov games: Empowering autonomous driving, 2022 IEEE Intelligent Vehicles Symposium (IV), IEEE, 2022, pp. 478-483.

[23] Z. Hu, Y. Sun, J. Wang, Y. Yang, DAC-DETR: Divide the attention layers and conquer, Advances in Neural Information Processing Systems 36 (2024).

[24] Z. Hu, Y. Sun, Y. Yang, Switch to generalize: Domain-switch learning for cross-domain few-shot classification, International Conference on Learning Representations, 2022.

[25] Z. Hu, Y. Sun, Y. Yang, Suppressing the heterogeneity: A strong feature extractor for few-shot segmentation, The Eleventh International Conference on Learning Representations, 2023.

[26] X. Chen, X. Liu, W. Liu, X.-P. Zhang, Y. Zhang, T. Mei, Explainable person re-identification with attribute-guided metric distillation, Proceedings of the IEEE/CVF international conference on computer vision, 2021, pp. 11813-11822.

[27] Z. Hu, Y. Sun, Y. Yang, J. Zhou, Divide-and-regroup clustering for domain adaptive person re-identification, Proceedings of the AAAI Conference on Artificial Intelligence, 2022, pp. 980-988.

[28] X. Chen, W. Liu, X. Liu, Y. Zhang, T. Mei, A cross-modality and progressive person search system, Proceedings of the 28th ACM International Conference on Multimedia, 2020, pp. 4550-4552.

[29] E. Ning, C. Wang, H. Zhang, X. Ning, P. Tiwari, Occluded person re-identification with deep learning: a survey and perspectives, Expert Systems with Applications (2023) 122419.

[30] X. Chen, W. Liu, X. Liu, Y. Zhang, J. Han, T. Mei, MAPLE: Masked pseudo-labeling autoencoder for semi-supervised point cloud action recognition, Proceedings of the 30th ACM International Conference on Multimedia, 2022, pp. 708-718.

[31] X. Chen, X. Liu, K. Liu, W. Liu, T. Mei, A baseline framework for part-level action parsing and action recognition, arXiv preprint arXiv:2110.03368 (2021).

[32] M.A. Khan, K. Javed, S.A. Khan, T. Saba, U. Habib, J.A. Khan, A.A. Abbasi, Human action recognition using fusion of multiview and deep features: an application to video surveillance, Multimedia tools and applications 83(5) (2024) 14885-14911.

[33] X. Chen, X. Liu, W. Liu, K. Liu, D. Wu, Y. Zhang, T. Mei, Part-level Action Parsing via a Pose-guided Coarse-to-Fine Framework, 2022 IEEE International Symposium on Circuits and Systems (ISCAS), IEEE, 2022, pp. 419-423.

[34] X. Chen, W. Liu, Q. Bao, X. Liu, Q. Yang, R. Dai, T. Mei, Motion Capture from Inertial and Vision Sensors, arXiv preprint arXiv:2407.16341 (2024).

[35] X. Chen, H. Zeng, H. Xu, X. Di, Sentiment analysis of autonomous vehicles after extreme events using social media data, 2021 IEEE International Intelligent Transportation Systems Conference (ITSC), IEEE, 2021, pp. 1211-1216.

[36] X. Chen, Z. Wang, X. Di, Sentiment analysis on multimodal transportation during the covid-19 using social media data, Information 14(2) (2023) 113.

[37] B. Wang, H. Duan, Y. Feng, X. Chen, Y. Fu, Z. Mo, X. Di, Can LLMs Understand Social Norms in Autonomous Driving Games?, arXiv preprint arXiv:2408.12680 (2024).

[38] M. Qu, X. Chen, W. Liu, A. Li, Y. Zhao, ChatVTG: Video Temporal Grounding via Chat with Video Dialogue Large Language Models, Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2024, pp. 1847-1856.

[39] M. Yin, T. Li, H. Lei, Y. Hu, S. Rangan, Q. Zhu, Zero-Shot Wireless Indoor Navigation through Physics-Informed Reinforcement Learning, 2024 IEEE International Conference on Robotics and Automation (ICRA), IEEE, 2024, pp. 5111-5118.

[40] J. Gawlikowski, C.R.N. Tassi, M. Ali, J. Lee, M. Humt, J. Feng, A. Kruspe, R. Triebel, P. Jung, R. Roscher, A survey of uncertainty in deep neural networks, Artificial Intelligence Review 56(Suppl 1) (2023) 1513-1589.

[41] L.V. Jospin, H. Laga, F. Boussaid, W. Buntine, M. Bennamoun, Hands-on Bayesian neural networks—A tutorial for deep learning users, IEEE Computational Intelligence Magazine 17(2) (2022) 29-48.

[42] P.W. Battaglia, J.B. Hamrick, V. Bapst, A. Sanchez-Gonzalez, V. Zambaldi, M. Malinowski, A. Tacchetti, D. Raposo, A. Santoro, R. Faulkner, Relational inductive biases, deep learning, and graph networks, arXiv preprint arXiv:1806.01261 (2018).

[43] A. Kendall, Y. Gal, What uncertainties do we need in bayesian deep learning for computer vision?, Advances in neural information processing systems 30 (2017).

[44] J. Lee, G. AlRegib, Gradients as a measure of uncertainty in neural networks, 2020 IEEE International Conference on Image Processing (ICIP), IEEE, 2020, pp. 2416-2420.

[45] L. Oala, C. Heiß, J. Macdonald, M. März, W. Samek, G. Kutyniok, Interval neural networks: Uncertainty scores, arXiv preprint arXiv:2003.11566 (2020).

[46] J. Zhang, B. Kailkhura, T.Y.-J. Han, Mix-n-match: Ensemble and compositional methods for uncertainty calibration in deep learning, International conference on machine learning, PMLR, 2020, pp. 11117-11128.

[47] S. Fort, H. Hu, B. Lakshminarayanan, Deep ensembles: A loss landscape perspective, arXiv preprint arXiv:1912.02757 (2019).

Downloads

Published

12-09-2024

Issue

Section

Articles

How to Cite

Antonion, J., Wang, A., Raissi, M., & Joshie, R. (2024). Nondeterministic Features in Deep neural network design, training and inference. Mathematical Modeling and Algorithm Application, 2(3), 5-9. https://doi.org/10.54097/aze6m665