Improving Performance of HPC Systems Based on Robust Survival Machine Learning Methods
DOI:
https://doi.org/10.14529/jsfi260207Keywords:
high-performance computing, survival analysis, censoring, attention mechanism, imprecise contaminated modelAbstract
High-performance computing (HPC) systems face growing complexity and uncertainty that limit the accuracy of classical methods for predicting computational processes and task execution. To address the problem of tasks failing to complete within allotted time windows, termed "censored" events, survival machine learning methods are proposed for predicting execution time and minimizing such losses. Survival analysis plays an important role for solving the task of time-to-event prediction. While traditional methods handle censored data effectively, they often rely on strong parametric assumptions that may limit their exibility. This paper introduces a novel survival analysis framework, called CiSurv (Contaminated imprecise Survival model), that integrates imprecise probability theory with attention-based multi-label classification. By reformulating survival prediction as an imprecise classification problem, CiSurv provides an approach to modeling uncertainty in censored observations while improving predictive accuracy. The proposed framework incorporates the imprecise contaminated model to refine interval-valued probabilities associated with censored data. Two models are developed: CiSurvN, which uses the neural network-based attention mechanism for solving the classification task, and CiSurvG, which employs Gaussian kernel-based attention with a single kernel parameter. Experiments on real and synthetic data demonstrate that CiSurvN generally outperforms CiSurvG due to its ability to learn complex feature dependencies. Key findings reveal that intermediate contamination parameter values yield optimal performance, outperforming a special case when the parameter is 1 in most cases. Codes implementing the proposed models are publicly available.
References
Abbasi, A., Asim, M., Ahmed, S., et al.: Survival prediction landscape: an in-depth systematic literature review on activities, methods, tools, diseases, and databases. Frontiers in Artificial Intelligence 7, 1428501 (2024). https://doi.org/10.3389/frai.2024.1428501
Beran, R.: Nonparametric regression with randomly censored survival data. Tech. rep., University of California, Berkeley (1981).
Brier, G.: Verification of forecasts expressed in terms of probability. Monthly Weather Review 78(1), 1–3 (1950). https://doi.org/10.1175/1520-0493(1950)078<0001:VOFEIT>2.0.CO;2
Chen, G.H.: An introduction to deep survival analysis models for predicting time-to-event outcomes. Foundations and Trends in Machine Learning 17(6), 921–1100 (2024). https://doi.org/10.1561/2200000114
Coolen, F.: An imprecise Dirichlet model for Bayesian analysis of failure data including right-censored observations. Reliability Engineering and System Safety 56, 61–68 (1997). https://doi.org/10.1016/S0951-8320(96)00131-7
Coolen, F., Yan, K.: Nonparametric predictive inference with right-censored data. Journal of Statistical Planning and Inference 126, 25–54 (2004). https://doi.org/10.1016/j.jspi.2003.07.004
Craig, E., Zhong, C., Tibshirani, R.: A review of survival stacking: a method to cast survival regression analysis as a classification problem. The International Journal of Biostatistics 21(1), 37–51 (2025). https://doi.org/10.1515/ijb-2022-0055
Emmert-Streib, F., Dehmer, M.: Introduction to survival analysis in practice. Machine Learning & Knowledge Extraction 1, 1013–1038 (2019). https://doi.org/10.3390/make1030058
Graf, E., Schmoor, C., Sauerbrei, W., Schumacher, M.: Assessment and comparison of prognostic classification schemes for survival data. Statistics in Medicine 18(17-18), 2529–2545 (1999). https://doi.org/10.1002/(SICI)1097-0258(19990915/30)18:17/18<2529::AID-SIM274>3.0.CO;2-5
Hosmer, D., Lemeshow, S., May, S.: Applied Survival Analysis: Regression Modeling of Time to Event Data. John Wiley & Sons, New Jersey (2008).
Hu, S., Fridgeirsson, E., van Wingen, G., Welling, M.: Transformer-based deep survival analysis. In: Survival Prediction-Algorithms, Challenges and Applications. pp. 132–148. PMLR (2021).
Ishwaran, H., Kogalur, U.: Random survival forests for r. R News 7(2), 25–31 (2007).
Jiang, S., Suriawinata, A.A., Hassanpour, S.: MHAttnSurv: Multi-head attention for survival prediction using whole-slide pathology images. Computers in Biology and Medicine 158, 106883 (2023). https://doi.org/10.1016/j.compbiomed.2023.106883
Konstantinov, A., Utkin, L., Efremenko, V., et al.: Survival analysis as imprecise classification with trainable kernels. Mathematics 13(18), 3040 (2025). https://doi.org/10.3390/math13183040
Kvamme, H., Borgan, O.: Continuous and discrete-time survival prediction with neural networks. Lifetime Data Analysis 27(4), 710–736 (2021). https://doi.org/10.1007/s10985-021-09532-6
Luong, T., Pham, H., Manning, C.: Effective approaches to attention-based neural machine translation. In: Proceedings of the 2015 Conference on Empirical Methods in Natural Language Processing. pp. 1412–1421. Association for Computational Linguistics, Lisbon, Portugal (2015). https://doi.org/10.18653/v1/d15-1166
Nadaraya, E.: On estimating regression. Theory of Probability & Its Applications 9(1), 141–142 (1964). https://doi.org/10.1137/1109020
Softic, S., Hrnjica, B.: Case studies of survival analysis for predictive maintenance in manufacturing. International Journal of Industrial Engineering and Management 15(4), 320–337 (2024). https://doi.org/10.24867/IJIEM-2024-4-366
Suresh, K., Severn, C., Ghosh, D.: Survival prediction models: an introduction to discrete-time modeling. BMC Medical Research Methodology 22(1), 207 (2022). https://doi.org/10.1186/s12874-022-01679-6
Vaswani, A., Shazeer, N., Parmar, N., et al.: Attention is all you need. In: Advances in Neural Information Processing Systems. pp. 5998–6008 (2017).
Walley, P.: Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London (1991).
Walley, P.: Inferences from multinomial data: Learning about a bag of marbles. Journal of the Royal Statistical Society, Series B 58, 3–34 (1996). https://doi.org/10.1111/j.2517-6161.1996.tb02065.x
Wang, P., Li, Y., Reddy, C.: Machine learning for survival analysis: A survey. ACM Computing Surveys (CSUR) 51(6), 1–36 (2019). https://doi.org/10.1145/3214306
Wang, Y., Kong, X., Bi, X., et al.: ResDeepSurv: A survival model for deep neural networks based on residual blocks and self-attention mechanism. Interdisciplinary Sciences: Computational Life Sciences 16(2), 405–417 (2024). https://doi.org/10.1007/s12539-024-00617-y
Wang, Z., Sun, J.: SurvTRACE: Transformers for survival analysis with competing events. In: Proceedings of the 13th ACM International Conference on Bioinformatics, Computational Biology and Health Informatics. pp. 1–9 (2022). https://doi.org/10.1145/3535508.3545521
Watson, G.: Smooth regression analysis. Sankhya: The Indian Journal of Statistics, Series A, 359–372 (1964).
Wiegrebe, S., Kopper, P., Sonabend, R., et al.: Deep learning for survival analysis: a review. Artificial Intelligence Review 57(65), 1–34 (2024). https://doi.org/10.1007/s10462-023-10681-3
Zhang, X., Mehta, D., Hu, Y., et al..: Adaptive transformer modelling of density function for nonparametric survival analysis. Machine Learning 114(2), 31 (2025). https://doi.org/10.1007/s10994-024-06686-w
Downloads
Published
How to Cite
License
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-Non Commercial 3.0 License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.