advanced statistics

Multivariate analysis: calculation on varieties

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Multivariate analysis is an essential branch of statistics and applied mathematics, enabling the understanding of complex phenomena involving many variables simultaneously. When this approach is enriched by calculations on manifolds, it opens an innovative perspective where differential geometry shapes the interactions and the intrinsic structure of the data. In this context, differentiable manifolds are spaces … Read more

Large-scale correlations

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As scientific disciplines explore large-scale phenomena, understanding large-scale correlations becomes an unavoidable necessity. These links between variables, discerned in massive datasets, open up unprecedented perspectives in both astrophysics and social or environmental sciences. Analyzing these complex interactions requires not only a deep mastery of statistics and mathematical models but also an ability to interpret fluctuations … Read more