  We have conducted three searches for correlations between ultra-high energy
cosmic rays detected by the Telescope Array and the Pierre Auger Observatory,
and high-energy neutrino candidate events from IceCube. Two cross-correlation
analyses with UHECRs are done: one with 39 cascades from the IceCube
`high-energy starting events' sample and the other with 16 high-energy `track
events'. The angular separation between the arrival directions of neutrinos and
UHECRs is scanned over. The same events are also used in a separate search
using a maximum likelihood approach, after the neutrino arrival directions are
stacked. To estimate the significance we assume UHECR magnetic deflections to
be inversely proportional to their energy, with values $3^\circ$, $6^\circ$ and
$9^\circ$ at 100 EeV to allow for the uncertainties on the magnetic field
strength and UHECR charge. A similar analysis is performed on stacked UHECR
arrival directions and the IceCube sample of through-going muon track events
which were optimized for neutrino point-source searches.
