Machine Learning the Dark Matter Halo Mass of Milky Way-Like Systems

Despite the Milky Way’s proximity to us, our knowledge of its dark matter halo is fairly limited, and there is still considerable uncertainty in its halo mass. Many past techniques have been limited by assumptions such as the Galaxy being in dynamical equilibrium as well as nearby galaxies being true satellites of the Galaxy, and/or the need to find large samples of Milky Way analogs in simulations.Here, we propose a new technique based on neural networks that obtains high precision (<0.14 dex mass uncertainty with perfect measurements of 30 neighboring galaxies; <0.14 dex including fiducial observational errors) without assuming halo dynamical equilibrium or that neighboring galaxies are all satellites, and which can use information from a wide variety of simulated halos (even those dissimilar to the Milky Way) to improve its performance. This method uses only observable information including satellite orbits, distances to nearby larger halos, and the maximum circular velocity of the largest satellite galaxy. In this paper, we demonstrate a proof-of-concept method on simulated dark matter halos; in future papers in this series, we will apply neural networks to estimate the masses of the Milky Way’s and M31’s dark matter halos, and we will train variations of these networks to estimate other halo properties including concentration, assembly history, and spin axis.

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References (13)

02MNRAS, 498, 5574 Frinchaboy P. M., Majewski S. R2020 · AJ
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04ApJ, 813, 89 Klypin A2015 · ApJ
052012b, ApJ, 753, 8 This paper was built using the Open Journal of Astrophysics LATEX template. The OJA is a journal which provides fast and easy peer review for new papers in the astro-ph2012
06Loss Function: We have chosen Mean Squared Error (MSE) as our loss function, i.e., the metric by which we judge the neural network’s performancepenalizes larger errors more heavily
07Activation Function: We have used Rectified Linear Unit (ReLU) activation functions in our hidden layerscomplex
08The approach can learn about relationships between observables (e.g., satellite orbits) and mass even from halos that do not match the MW or M31, leading to greater constraining power
09Output Layer: We have a single neuron in the output layer, since our network is performing regression to predict a single output (i.e., the mass of a central halo)
10Modeling tracers (halo stars, globular clusters, and satellite galaxies) with phase-space distribution
11Learning Rate
12ReLU is a common choice

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