Variational series Computer Science Fundamentals
noun phrase
Definition: An ordered sequence of sample values arranged in nondecreasing or nonincreasing order; in probability and statistics, the terms of a variational series correspond to order statistics [Ahsanullah et al. 2013].
Example in context: “For each minimum (x-axis) in the variational series of a sample of size 4, the lower box shows loss function deviation at the minimum while the upper box shows deviation of the corresponding minimal obligatory penalty.” [Barannikov et al. 2025]
Synonyms: ordered sample; ordered statistical series
Related terms: order statistics; frequency distribution; empirical distribution; sample ordering