A theoretical framework is presented for a (copula-based) notion of dissimilarity between continuous random vectors and its main properties are studied. The proposed assigns the smallest value to pair that comonotonic. Various this studied, with special attention those prone hierarchical agglomerative methods, such as reducibility. Some insights provided use measure in clustering algorithms sim...

By coherently combining advantages while largely avoiding limitations of two mainstream platforms, optical hybrid entanglement involving both discrete and continuous variables has recently garnered widespread attention emerged as a promising idea for building heterogenous quantum networks. In contrast to previous results, here we propose new scheme remotely generate between polarization quadrat...

Hybrid systems contain two distinct types of components, subsystems with continuous dynamics and subsystems with discrete dynamics that interact with each other. These systems typically contain variables or signals that take values from a continuous set and also variables that take values from a discrete, typically finite set. These continuous or discrete-valued variables depend on independent ...

background: in medical research, dichotomisation of continuous variables is a widespread use approach. however, it has been argued that dichotomisation might be waste of information. the aim of this paper is to review the main methods to dichotomise continuous data, to address practical issues around dichotomisation methods, and to investigate whether dichotomisation is always a bad idea. metho...