Feb. 2, 2024, 3:46 p.m. | Hannah Blocher Georg Schollmeyer Malte Nalenz Christoph Jansen

cs.LG updates on arXiv.org arxiv.org

We propose a framework for descriptively analyzing sets of partial orders based on the concept of depth functions. Despite intensive studies in linear and metric spaces, there is very little discussion on depth functions for non-standard data types such as partial orders. We introduce an adaptation of the well-known simplicial depth to the set of all partial orders, the union-free generic (ufg) depth. Moreover, we utilize our ufg depth for a comparison of machine learning algorithms based on multidimensional performance …

algorithms concept cs.lg data framework free functions linear machine machine learning machine learning algorithms orders spaces standard stat.ml studies types union

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