Poczos et al. (2013):
‘Distribution regression’ refers to the situation where a response
depends on a covariate where is a probability distribution. The model is where is an unknown regression function and is a random error. Typically, we do not observe directly, but rather, we observe a sample from
1 References
Bachoc, F., Gamboa, Loubes, et al. 2018. “A Gaussian Process Regression Model for Distribution Inputs.” IEEE Transactions on Information Theory.
Bachoc, Francois, Suvorikova, Ginsbourger, et al. 2019. “Gaussian Processes with Multidimensional Distribution Inputs via Optimal Transport and Hilbertian Embedding.” arXiv:1805.00753 [Stat].
Ohsawa. 2021. “Unbiased Self-Play.” arXiv:2106.03007 [Cs, Econ, Stat].
Poczos, Singh, Rinaldo, et al. 2013. “Distribution-Free Distribution Regression.” In Artificial Intelligence and Statistics.