To be (distributive) or not to be: Distributivity of Real World Data

In this work, we propose a series of experiments aimed at exploring some structural properties of non-distributive lattices on real-world datasets. Our primary objective is to implement and evaluate methods that measure how far a given lattice deviates from being distributive. These methods will provide a quantitative understanding of non-distributivity . The effectiveness of these techniques will be tested on real datasets from various domains, allowing us to assess their practical applicability.

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