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Nonparametric Regression with Comparisons: Escaping the Curse of Dimensionality with Ordinal Information

ICML 2018 · Learning theory and algorithms › Sample complexity · approach: Minimax estimation rates · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use direct comparison queries instead of label-induced comparisonsAirBnB worker feedback, Task 1 · AirBnB price, Task 1Error: 41.3% -> 31.3%Helped
Use direct comparison queries instead of label-induced comparisonsAirBnB worker feedback, Task 2 · AirBnB price, Task 2Disagreement: 29.5% -> 16.4%Helped
Collect direct comparisons rather than direct labelsAirBnB worker feedback · AirBnB priceAverage time: 63s -> 64sNo clear effect
Combine comparison feedback with direct labels using R²R² nonparametric regression · AirBnB price, Task 1 and Task 2Prediction errorHelped
Combine comparison feedback with direct labels using R²R² nonparametric regression · APPA-REAL age predictionPrediction errorHelped
Use more than one nearest neighbor in the final R² prediction step (ablation)R² nonparametric regression · ExperimentsPrediction errorHelped
Use feature-structured rankSVM scores instead of nearest-neighbor Borda-count scores (ablation)R² with pairwise comparisons · Synthetic data and AirBnB pricePrediction errorMixed
Augment CLR's regression features with the estimated projection (ablation)CLR · Linear regression experimentsPrediction errorHelped
Use active rather than passive comparison queriesCLR · Simulated linear regressionPrediction errorHelped
Use active rather than passive comparison queriesCLR · AirBnB price, Task 1Prediction errorNo clear effect
Use active rather than passive comparison queriesCLR · AirBnB price, Task 2Prediction errorHelped

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