Gaussian processes for survival analysis

Advances in Neural Information Processing Systems

Volumn , Issue , 2016, Pages 5021-5029

  Fernández, Tamara ^a   Rivera, Nicolás ^b   Teh, Yee Whye ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; BAYESIAN NETWORKS; GAUSSIAN DISTRIBUTION; GAUSSIAN NOISE (ELECTRONIC); HAZARDS; INFERENCE ENGINES;

APPROXIMATION SCHEME; COMPETING MODELS; GAUSSIAN PROCESSES; INTERVAL CENSORING; PROPORTIONAL HAZARDS; SURVIVAL ANALYSIS; SURVIVAL FUNCTION; SYNTHETIC AND REAL DATA;

BIOINFORMATICS;

EID: 85018897327     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. Ryan Prescott Adams, Iain Murray, and David JC MacKay. Tractable nonparametric bayesian inference in poisson processes with gaussian process intensities. In Proceedings of the 26th Annual International Conference on Machine Learning, pages 9-16. ACM, 2009.
2. James E Barrett and Anthony CC Coolen. Gaussian process regression for survival data with competing risks. arXiv preprint arXiv:1312.1591, 2013.
3. DR Cox. Regression models and life-tables. Journal of the Royal Statistical Society. Series B (Methodological), 34(2):187-220, 1972.
4. Maria De Iorio, Wesley O Johnson, Peter Müller, and Gary L Rosner. Bayesian nonparametric nonproportional hazards survival modeling. Biometrics, 65(3):762-771, 2009.
5. Kjell Doksum. Tailfree and neutral random probabilities and their posterior distributions. The Annals of Probability, pages 183-201, 1974.
6. David K Duvenaud, Hannes Nickisch, and Carl E Rasmussen. Additive gaussian processes. In Advances in neural information processing systems, pages 226-234, 2011.
7. RL Dykstra and Purushottam Laud. A bayesian nonparametric approach to reliability. The Annals of Statistics, pages 356-367, 1981.
8. Thomas S Ferguson. A bayesian analysis of some nonparametric problems. The annals of statistics, pages 209-230, 1973.
9. Nils Lid Hjort, Chris Holmes, Peter Müller, and Stephen G Walker. Bayesian nonparametrics, Volume 28. Cambridge University Press, 2010.
10. Hemant Ishwaran, Udaya B Kogalur, Eugene H Blackstone, and Michael S Lauer. Random survival forests. The annals of applied statistics, pages 841-860, 2008.
11. Heikki Joensuu, Peter Reichardt, Mikael Eriksson, Kirsten Sundby Hall, and Aki Vehtari. Gastrointestinal stromal tumor: a method for optimizing the timing of ct scans in the follow-up of cancer patients. Radiology, 271(1):96-106, 2013.
12. Heikki Joensuu, Aki Vehtari, Jaakko Riihimäki, Toshirou Nishida, Sonja E Steigen, Peter Brabec, Lukas Plank, Bengt Nilsson, Claudia Cirilli, Chiara Braconi, et al. Risk of recurrence of gastrointestinal stromal tumour after surgery: an analysis of pooled population-based cohorts. The lancet oncology, 13(3):265-274, 2012.
13. Edward L Kaplan and Paul Meier. Nonparametric estimation from incomplete observations. Journal of the American statistical association, 53(282):457-481, 1958.
14. Sara Martino, Rupali Akerkar, and Håvard Rue. Approximate bayesian inference for survival models. Scandinavian Journal of Statistics, 38(3):514-528, 2011.
15. Iain Murray and Ryan P Adams. Slice sampling covariance hyperparameters of latent gaussian models. In Advances in Neural Information Processing Systems, pages 1732-1740, 2010.
16. Iain Murray, Ryan Prescott Adams, and David JC MacKay. Elliptical slice sampling. In AISTATS, Volume 13, pages 541-548, 2010.
17. Ali Rahimi and Benjamin Recht. Random features for large-scale kernel machines. In Advances in neural information processing systems, pages 1177-1184, 2007.
18. Vinayak Rao and Yee W. Teh. Gaussian process modulated renewal processes. In Advances in Neural Information Processing Systems, pages 2474-2482, 2011.
19. Terry M Therneau and Thomas Lumley. Package 'survival', 2015.
20. Stephen Walker and Pietro Muliere. Beta-stacy processes and a generalization of the pólya-urn scheme. The Annals of Statistics, pages 1762-1780, 1997.