Feb. 9, 2024, 5:42 a.m. | Camila FernandezLPSM Pierre GaillardThoth Joseph de VilmarestLPSM Olivier WintenbergerLPSM

cs.LG updates on arXiv.org arxiv.org

We introduce an online mathematical framework for survival analysis, allowing real time adaptation to dynamic environments and censored data. This framework enables the estimation of event time distributions through an optimal second order online convex optimization algorithm-Online Newton Step (ONS). This approach, previously unexplored, presents substantial advantages, including explicit algorithms with non-asymptotic convergence guarantees. Moreover, we analyze the selection of ONS hyperparameters, which depends on the exp-concavity property and has a significant influence on the regret bound. We propose a …

advantages algorithm algorithms analysis convergence cs.lg data dynamic environments event framework online learning optimization physics.data-an stat.ml survival through

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