10 research outputs found
Trimmed Density Ratio Estimation
Density ratio estimation is a vital tool in both machine learning and
statistical community. However, due to the unbounded nature of density ratio,
the estimation procedure can be vulnerable to corrupted data points, which
often pushes the estimated ratio toward infinity. In this paper, we present a
robust estimator which automatically identifies and trims outliers. The
proposed estimator has a convex formulation, and the global optimum can be
obtained via subgradient descent. We analyze the parameter estimation error of
this estimator under high-dimensional settings. Experiments are conducted to
verify the effectiveness of the estimator.Comment: Made minor revisions. Restructured the introductory section