neal young / Chrobak23Classification

Given a weighted, ordered query set \(Q\) and a partition of \(Q\) into classes, we study the problem of computing a minimumcost decision tree that, given any query \(q\) in \(Q\), uses equality tests and lessthan comparisons to determine the class to which \(q\) belongs. Such a tree can be much smaller than a lookup table, and much faster and smaller than a conventional search tree. We give the first polynomialtime algorithm for the problem. The algorithm extends naturally to the setting where each query has multiple allowed classes.Published in Lecture Notes in Computer Science (LNCS Volume 14079, July 2023).
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