  We use QCD kinetic theory to compute dilepton production coming from the
pre-equilibrium phase of the Quark-Gluon Plasma created in high-energy
heavy-ion collisions. We demonstrate that the dilepton spectrum exhibits a
simple scaling in terms of the specific shear viscosity $\eta/s$ and entropy
density $dS/d\zeta \sim {\scriptstyle \left(T\tau^{1/3}\right)_\infty^{3/2}}$,
which can be derived from dimensional analysis in the presence of a
pre-equilibrium attractor. Based on this scaling we perform event-by-event
calculations of in-medium dilepton production and determine the invariant mass
range where the pre-equilibrium yield is the leading contribution.
