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Hejblum, Mélanie Prague, Daniel Commenges, Cécile Proust-Lima", "engine": "knitr::rmarkdown", "headings": [ "Introduction", "Methodology", "The Marquardt-Levenberg algorithm", "Stringent convergence criteria", "Derivatives calculation", "Special case of a log-likelihood maximization", "Implementation", "marqLevAlg function", "Implementation of parallel computations", "Example", "Benchmark", "Simulated dataset", "Statistical models", "Joint shared random effect model for a longitudinal marker and a time to event: package JM", "Latent class linear mixed model: package lcmm", "Multivariate latent process mixed model: package CInLPN", "Results", "Comparison with other optimization algorithms", "Other Marquardt-Levenberg implementations", "Examples from the litterature", "Example of complex optimization problem: Maximum Likelihood Estimation of a Joint model for longitudinal and time-to-event data", "Concluding remarks", "Funding", "Acknowlegdments", "Appendix", "A1. 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