Sufficient dimension reduction with additional information

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چکیده

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Sufficient Dimension Reduction Summaries

Observational studies assessing causal or non-causal relationships between an explanatory measure and an outcome can be complicated by hosts of confounding measures. Large numbers of confounders can lead to several biases in conventional regression based estimation. Inference is more easily conducted if we reduce the number of confounders to a more manageable number. We discuss use of sufficien...

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Sufficient Dimension Reduction With Missing Predictors

In high-dimensional data analysis, sufficient dimension reduction (SDR) methods are effective in reducing the predictor dimension, while retaining full regression information and imposing no parametric models. However, it is common in high-dimensional data that a subset of predictors may have missing observations. Existing SDR methods resort to the complete-case analysis by removing all the sub...

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Sufficient Dimension Reduction via Squared-loss Mutual Information Estimation

The goal of sufficient dimension reduction in supervised learning is to find the low-dimensional subspace of input features that contains all of the information about the output values that the input features possess. In this letter, we propose a novel sufficient dimension-reduction method using a squared-loss variant of mutual information as a dependency measure. We apply a density-ratio estim...

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Computationally Efficient Sufficient Dimension Reduction via Squared-Loss Mutual Information

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ژورنال

عنوان ژورنال: Biostatistics

سال: 2015

ISSN: 1465-4644,1468-4357

DOI: 10.1093/biostatistics/kxv051