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Off the Normal Path: Learning Spatial Density Models of Node Mobility

arXiv:2411.10997v2 Announce Type: replace-cross Abstract: We consider the problem of learning models of spatial density functions, representing the steady-state density of mobile nodes moving on a two

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model-releasesarxiv-cs-lg

arXiv:2411.10997v2 Announce Type: replace-cross Abstract: We consider the problem of learning models of spatial density functions, representing the steady-state density of mobile nodes moving on a two-dimensional terrain. Deriving such models can assist in network design and optimization problems, e.g., by accelerating the computation of the density function during a parameter sweep. We address the question of applicability of off-the-shelf mixture density network models and of, two varieties of, normalizing flows for the description of mobile node density over a disk. We introduce the use of Mobius distributions to retain symmetric spatial relations. Our results indicate that mixtures of Mobius distributions provide interpretable, parsimonious models for the studied steady state density distributions, that match or outperform the alternatives.

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Source: arXiv cs.LG | 2026-08-31

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