4 papers
Frequent Knot Discovery
Floris Geerts
We explore the possibility of applying the framework of frequent pattern mining to a class of continuous objects appearing in nature, namely knots. We introduce the frequent knot m…
Two- versus three-dimensional connectivity testing of first-order queries to semi-algebraic sets
Floris Geerts, Lieven Smits, Jan Van den Bussche
This paper addresses the question whether one can determine the connectivity of a semi-algebraic set in three dimensions by testing the connectivity of a finite number of two-dimen…
A Tight Upper Bound on the Number of Candidate Patterns
Floris Geerts, Bart Goethals, Jan Van den Bussche
In the context of mining for frequent patterns using the standard levelwise algorithm, the following question arises: given the current level and the current set of frequent patter…
Expressing the cone radius in the relational calculus with real polynomial constraints
Floris Geerts
We show that there is a query expressible in first-order logic over the reals that returns, on any given semi-algebraic set A, for every point a radius around which A is conical. W…