Comptes Rendus
Risk analysis: Survival data analysis vs. machine learning. Application to Alzheimer prediction
Comptes Rendus. Mécanique, Volume 347 (2019) no. 11, pp. 817-830.

We present here the statistical models that are most in use in survival data analysis. The parametric ones are based on explicit distributions, depending only on real unknown parameters, while the preferred models are semi-parametric, like Cox model, which imply unknown functions to be estimated. Now, as big data sets are available, two types of methods are needed to deal with the resulting curse of dimensionality including non informative factors which spoil the informative part relative to the target: on one hand, methods that reduce the dimension while maximizing the information left in the reduced data, and then applying classical stochastic models; on the other hand algorithms that apply directly to big data, i.e. artificial intelligence (AI or machine learning). Actually, those algorithms have a probabilistic interpretation. We present here several of the former methods. As for the latter methods, which comprise neural networks, support vector machines, random forests and more (see second edition, January 2017 of Hastie, Tibshirani et al. (2005) [1]), we present the neural networks approach. Neural networks are known to be efficient for prediction on big data. As we analyzed, using a classical stochastic model, risk factors for Alzheimer on a data set of around 5000 patients and p=17 factors, we were interested in comparing its prediction performance with the one of a neural network on this relatively small sample size data.

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DOI: 10.1016/j.crme.2019.11.007
Keywords: Survival data analysis, Stochastic models, Machine learning, Neural networks, Nonlinear modeling, Alzheimer disease

Catherine Huber-Carol 1; Shulamith Gross 2; Filia Vonta 3

1 MAP5 CNRS 8145, Université de Paris, 45 rue des Saints-Pères, 75270, Paris cedex 06, France
2 Lab VC-170, Baruch College of CUNY, One Baruch way, NY, NY 10010, USA
3 Department of Mathematics, National Technical University of Athens, 9 Iroon Polytechneiou Str., 15780, Athens, Greece
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Catherine Huber-Carol; Shulamith Gross; Filia Vonta. Risk analysis: Survival data analysis vs. machine learning. Application to Alzheimer prediction. Comptes Rendus. Mécanique, Volume 347 (2019) no. 11, pp. 817-830. doi : 10.1016/j.crme.2019.11.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2019.11.007/

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