• Density kernel depth for outlier detection in functional data 

      Martos Venturini, Gabriel; Hernández, Nicolás; Muñoz, Alberto (Springer NatureInternational Journal of Data Science and Analytics, 2023)
      In this paper, we propose a novel approach to address the problem of functional outlier detection. Our method leverages a low-dimensional and stable representation of functions using Reproducing Kernel Hilbert Spaces ...
    • Level Sets Semimetrics for Probability Measures with Applications in Hypothesis Testing 

      Martos Venturini, Gabriel; Muñoz, Alberto; González, Javier (Methodology and Computing in Applied ProbabilitySpringer Nature, 2023)
      In this paper we introduce a novel family of level sets semimetrics for density functions and address subtleties entailed in the estimation and computation of such semimetrics. Given data drawn from f and q, two unknown ...