Statistical Estimation of higher Dedekind Numbers
Abstract
We provide highly accurate estimations of the 10th through 15th Dedekind Numbers, to a precision of 4 digits for D(10), to 2 digits for D(15). These estimates were obtained using three methods, including pair matching on large quantities of 9-dimensional monotone Boolean functions for D(10), Reference Subsets for D(10), D(11), and D(12). And our best method "Weight Layer Branching" which provided accurate estimates for all D(10) through D(15), strongly improving on the previous best known estimates by Korshunov and Tian-Shun Chen et al. arXiv:2606.09795
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