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Research map / Learning theory and algorithms / Kernels and regression theory

Kernel Feature Selection via Conditional Covariance Minimization

NeurIPS 2017 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 61 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use conditional covariance minimization (CCM) instead of the compared feature-selection algorithmsFeature selection with downstream kernel SVM · 12 real-world benchmark tasksclassification accuracyHelped
Use CCM instead of BAHSICFeature selection with downstream kernel SVM · 12 real-world benchmark tasksclassification accuracyHelped
Use CCM instead of the compared feature-selection algorithmsSynthetic binary classification · Synthetic binary classificationmedian rank of true featuresHelped
Use CCM instead of the compared feature-selection algorithmsSynthetic 4-way classification · 3-dimensional XORmedian rank of true featuresHelped
Use CCM instead of BAHSICFeature selection · Synthetic 3-dimensional XORmedian rank of true featuresHelped
Use CCM instead of the compared feature-selection algorithmsSynthetic feature selection · Additive nonlinear regressionmedian rank of true featuresNo clear effect
Replace the initial relaxed objective with the soft feature-count constraint objective (ablation)CCM · Synthetic datamedian rank of true featuresNo clear effect
Replace the initial relaxed objective with the soft matrix-inverse constraint objective (ablation)CCM · Synthetic datamedian rank of true featuresNo clear effect
Use the soft feature-count constraint rather than the soft matrix-inverse constraint (ablation)CCM · Synthetic datarobustness to hyperparameter changesHelped

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