Empirical Density Estimation based on Spline Quasi-Interpolation with applications to Copulas clustering modeling

arXiv:2402.11552v1 Announce Type: cross
Abstract: Density estimation is a fundamental technique employed in various fields to model and to understand the underlying distribution of data. The primary objective of density estimation is to estimate the probability density function of a random variable. This process is particularly valuable when dealing with univariate or multivariate data and is essential for tasks such as clustering, anomaly detection, and generative modeling. In this paper we propose the mono-variate approximation of the density using spline …

abstract applications arxiv clustering cs.lg cs.na data distribution fields function math.na modeling probability process random spline stat.ml type