4 papers
Zero-inflation in the Multivariate Poisson Lognormal Family
Bastien Batardière, Julien Chiquet, François Gindraud +1
Analyzing high-dimensional count data is a challenge and statistical model-based approaches provide an adequate and efficient framework that preserves explainability. The (multivar…
Importance sampling-based gradient method for dimension reduction in Poisson log-normal model
Bastien Batardière, Julien Chiquet, Joon Kwon +1
High-dimensional count data poses significant challenges for statistical analysis, necessitating effective methods that also preserve explainability. We focus on a low rank constra…
Evaluating Parameter Uncertainty in the Poisson Lognormal Model with Corrected Variational Estimators
Bastien Batardière, Julien Chiquet, Mahendra Mariadassou
Count data analysis is essential across diverse fields, from ecology and accident analysis to single-cell RNA sequencing (scRNA-seq) and metagenomics. While log transformations are…
Finite-sum optimization: Adaptivity to smoothness and loopless variance reduction
Bastien Batardière, Joon Kwon
For finite-sum optimization, variance-reduced gradient methods (VR) compute at each iteration the gradient of a single function (or of a mini-batch), and yet achieve faster converg…