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IBMPopSim - Individual Based Model Population Simulation

Simulation of the random evolution of heterogeneous populations using stochastic Individual-Based Models (IBMs) <doi:10.48550/arXiv.2303.06183>. The package enables users to simulate population evolution, in which individuals are characterized by their age and some characteristics, and the population is modified by different types of events, including births/arrivals, death/exit events, or changes of characteristics. The frequency at which an event can occur to an individual can depend on their age and characteristics, but also on the characteristics of other individuals (interactions). Such models have a wide range of applications. For instance, IBMs can be used for simulating the evolution of a heterogeneous insurance portfolio with selection or for validating mortality forecasts. This package overcomes the limitations of time-consuming IBMs simulations by implementing new efficient algorithms based on thinning methods, which are compiled using the 'Rcpp' package while providing a user-friendly interface.

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cpp

5.76 score 6 stars 16 scripts 351 downloads

STARRS - Stochastic Robust Multivariate Statistics

Algorithms for robust multivariate statistics (STochAstic Robust multivaRiate Statistics) including geometric median and geometric median covariance computation, k-medians clustering and robust median Principal Compenents Analysis (PCA), robust estimation of parameters for Gaussian, Student, or Laplace mixture models. 'STARRS' provides an independent, clean, consolidated and cohesive framework, while drawing inspiration from the approaches implemented in packages 'Gmedian', 'Kmedians', 'RGMM', 'RobRegression'. Methods used in the package refer to H. Robbins, S. Monro (1951) <doi:10.1214/aoms/1177729586>; D. Kraus, V. M. Panaretos (2012) <doi:10.1093/biomet/ass037>; H. Cardot, A. Godichon-Baggioni (2015) <doi:10.48550/arXiv.1504.02852>; A. Godichon-Baggioni, S. Robin (2024) <doi:10.1007/s11222-023-10362-9>.

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cpp

2.70 score 316 downloads

ppsbm - Clustering in Longitudinal Networks

Stochastic block model used for dynamic graphs represented by Poisson processes. To model recurrent interaction events in continuous time, an extension of the stochastic block model is proposed where every individual belongs to a latent group and interactions between two individuals follow a conditional inhomogeneous Poisson process with intensity driven by the individuals’ latent groups. The model is shown to be identifiable and its estimation is based on a semiparametric variational expectation-maximization algorithm. Two versions of the method are developed, using either a nonparametric histogram approach (with an adaptive choice of the partition size) or kernel intensity estimators. The number of latent groups can be selected by an integrated classification likelihood criterion. Y. Baraud and L. Birgé (2009). <doi:10.1007/s00440-007-0126-6>. C. Biernacki, G. Celeux and G. Govaert (2000). <doi:10.1109/34.865189>. M. Corneli, P. Latouche and F. Rossi (2016). <doi:10.1016/j.neucom.2016.02.031>. J.-J. Daudin, F. Picard and S. Robin (2008). <doi:10.1007/s11222-007-9046-7>. A. P. Dempster, N. M. Laird and D. B. Rubin (1977). <http://www.jstor.org/stable/2984875>. G. Grégoire (1993). <http://www.jstor.org/stable/4616289>. L. Hubert and P. Arabie (1985). <doi:10.1007/BF01908075>. M. Jordan, Z. Ghahramani, T. Jaakkola and L. Saul (1999). <doi:10.1023/A:1007665907178>. C. Matias, T. Rebafka and F. Villers (2018). <doi:10.1093/biomet/asy016>. C. Matias and S. Robin (2014). <doi:10.1051/proc/201447004>. H. Ramlau-Hansen (1983). <doi:10.1214/aos/1176346152>. P. Reynaud-Bouret (2006). <doi:10.3150/bj/1155735930>.

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2.26 score 36 scripts 267 downloads