  We study the production of bottomonium states in heavy-ion reactions at
collider energies available at RHIC and LHC. We employ an earlier constructed
rate equation approach which accounts for both suppression and regeneration
mechanisms in the quark-gluon plasma (QGP) and hadronization phases of the
evolving thermal medium. Our previous predictions utilizing two limiting cases
of strong and weak bottomonium binding in the QGP are updated by (i) checking
the compatibility of the pertinent spectral functions with lattice-QCD results
for euclidean correlators, (ii) adapting the initial conditions of the rate
equation by updating bottom-related input cross sections and the
charged-particle multiplicity of the fireball, and (iii) converting our
calculations into observables as recently measured by the STAR and CMS
experiments. Our main findings are a preference for strong $\Upsilon$ binding
as well as a significant regeneration component at the LHC.
