  The Shastry-Sutherland model and its generalizations have been shown to
capture emergent complex magnetic properties from geometric frustration in
several quasi-two-dimensional quantum magnets. Using an $sd$ exchange model, we
show here that metallic Shastry-Sutherland magnets can exhibit a topological
Hall effect driven by magnetic skyrmions under realistic conditions. The
magnetic properties are modeled with competing symmetric Heisenberg and
asymmetric Dzyaloshinskii-Moriya exchange interactions, while a coupling
between the spins of the itinerant electrons and the localized moments
describes the magnetotransport behavior. Our results, employing complementary
Monte Carlo simulations and a novel machine learning analysis to investigate
the magnetic phases, provide evidence for field-driven skyrmion crystal
formation for an extended range of Hamiltonian parameters. By constructing an
effective tight-binding model of conduction electrons coupled to the skyrmion
lattice, we clearly demonstrate the appearance of the topological Hall effect.
We further elaborate on the effects of finite temperatures on both magnetic and
magnetotransport properties.
