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The Impact of Regularization on High-dimensional Logistic Regression

NeurIPS 2019 · Learning theory and algorithms › Matrix and tensor methods · approach: High-dimensional estimation theory · 27 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase the ℓ2² regularization parameter λℓ2²-regularized logistic regression · High-dimensional logistic regressioncorrelation with the true parameterHurt
Increase the ℓ2² regularization parameter λℓ2²-regularized logistic regression · High-dimensional logistic regressionvarianceHelped
Tune λ to its setting-specific optimal valueℓ2²-regularized logistic regression · High-dimensional logistic regressionmean-squared errorHelped
Increase the oversampling ratio δSparse logistic regression · High-dimensional logistic regression with sparse signalsoptimal regularization parameter λoptHurt

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