  The Beam Energy Scan Theory (BEST) collaboration's equation of state (EoS)
incorporates a 3D Ising model critical point into the Quantum Chromodynamics
(QCD) equation of state from lattice simulations. However, it contains 4 free
parameters related to the size and location of the critical region in the QCD
phase diagram. Certain combinations of the free parameters lead to acausal or
unstable realizations of the EoS that should not be considered. In this work,
we use an active learning framework to rule out pathological EoS efficiently.
We find that checking stability and causality for a small portion of the
parameters' range is sufficient to construct algorithms that perform with
$>$96% accuracy across the entire parameter space. Though in this work we focus
on a specific case, our approach can be generalized to any EoS containing a
parameter space-class correspondence.
