Xiaorui Sun
Linear regression without correspondence
Daniel J. Hsu, Kevin Shi, Xiaorui Sun
This article considers algorithmic and statistical aspects of linear regression when the correspondence between the covariates and the responses is unknown. First, a fully polynomial-time approximation scheme is given for the natural least squares optimization problem in any constant dimension. Next, in an average-case and noise-free setting where the responses exactly correspond to a linear function of i.i.d.
Linear regression without correspondence
Daniel J. Hsu, Kevin Shi, Xiaorui Sun