Breiman's classic paper casts data analysis as a choice between two cultures: modelers and algorithmic modelers. Stated broadly, use simple, interpretable models with well-understood theoretical properties to analyze data. Algorithmic prioritize predictive accuracy more flexible function approximations This dichotomy overlooks third set of $-$ mechanistic derived from scientific theories (e.g.,...

Abstract In the financial framework, concepts of connectedness and diversification have been introduced developed respectively in context systemic risk portfolio theory. this paper we propose a theoretical approach to bring light relation between diversification. Starting from respective axiomatic definitions, prove that class proper measures verifies, after suitable functional transformation, ...