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We present new constraints on the masses of the halos hosting the Milky Wayand Andromeda galaxies derived using graph neural networks. Our models, trainedon thousands of state-of-the-art hydrodynamic simulations of the CAMELSproject, only make use of the positions, velocities and stellar masses of thegalaxies belonging to the halos, and are able to perform likelihood-freeinference on halo masses while accounting for both cosmological andastrophysical uncertainties. Our constraints are in agreement with estimatesfrom other traditional methods.

Weighing the Milky Way and Andromeda with Artificial Intelligence