Supplementary Material for “High-Dimensional Density Ratio Estimation with Extensions to Approximate Likelihood Computation”
نویسندگان
چکیده
Section 1 provides details on the photometric data set used to illustrate the spectral series density ratio estimator. Section 2 provides additional details on the galaxy data set used to illustrate the spectral series likelihood estimator. This section also includes additional graphics with the estimated likelihood functions, omitted from the main document for the sake of space. In Section 3 we prove the bounds in the paper for the Spectral Series Density Ratio estimator. Section 4 shows analogous bounds to the Spectral Series Likelihood estimator, and presents an outline of the proofs.
منابع مشابه
High-Dimensional Density Ratio Estimation with Extensions to Approximate Likelihood Computation
The ratio between two probability density functions is an important component of various tasks, including selection bias correction, novelty detection and classification. Recently, several estimators of this ratio have been proposed. Most of these methods fail if the sample space is high-dimensional, and hence require a dimension reduction step, the result of which can be a significant loss of ...
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