Density Ratio Estimation with Stein Displacement Fields
Density ratios quantify distribution shift from a probability-mass point of view, whereas displacement fields describe, from a dynamical point of view, how one distribution is transported onto another. Although both offer complementary insights, they are usually estimated separately, and converting one into the other requires post-processing. In this paper, we estimate the density ratio between a target and a base distribution by parametrizing it through a displacement field acting on the base: the log-ratio is modeled as minus the Stein operator of the base applied to the field, up to a normalizing constant. This gives both statistical and dynamical descriptions of the distribution shift...
| Authors | Song Liu |
|---|---|
| Primary category | stat.ML |
| Published | 8 October 2026 |
| Last updated at source | 11 October 2026 |
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