The quantile-based classifier with variable-wise parameters

التفاصيل البيبلوغرافية
العنوان: The quantile-based classifier with variable-wise parameters
المؤلفون: Berrettini, Marco, Hennig, Christian, Viroli, Cinzia
سنة النشر: 2024
المجموعة: Statistics
مصطلحات موضوعية: Statistics - Methodology
الوصف: Quantile-based classifiers can classify high-dimensional observations by minimising a discrepancy of an observation to a class based on suitable quantiles of the within-class distributions, corresponding to a unique percentage for all variables. The present work extends these classifiers by introducing a way to determine potentially different optimal percentages for different variables. Furthermore, a variable-wise scale parameter is introduced. A simple greedy algorithm to estimate the parameters is proposed. Their consistency in a nonparametric setting is proved. Experiments using artificially generated and real data confirm the potential of the quantile-based classifier with variable-wise parameters.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2404.13589
رقم الانضمام: edsarx.2404.13589
قاعدة البيانات: arXiv