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math.LO2023
Order one differential equations on nonisotrivial algebraic curves
Taylor Dupuy, James Freitag
In this paper we provide new examples of geometrically trivial strongly minimal differential algebraic varieties living on nonisotrivial curves over differentially closed fields of…
cs.LG2023
Applications of Littlestone dimension to query learning and to compression
Hunter Chase, James Freitag, Lev Reyzin
In this paper we give several applications of Littlestone dimension. The first is to the model of \cite{angluin2017power}, where we extend their results for learning by equivalence…
math.LO2023
Finite-dimensional differential-algebraic permutation groups
James Freitag, Léo Jimenez, Rahim Moosa
Several structural results about permutation groups of finite rank definable in differentially closed fields of characteristic zero (and other similar theories) are obtained. In pa…