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Research map / Learning theory and algorithms / Prediction and decision losses

Tilted Sparse Additive Models

ICML 2023 · Learning theory and algorithms › Prediction and decision losses · approach: Distributionally robust optimization

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use negative tilt (t<0) instead of ERM-like small tilt in T-SpAM(F)T-SpAM(F) regression · Synthetic regression, noise ϵBASE: 0.350 (SpAM) to 0.019 (t=-2.0)Helped
Tilted loss (TERM) with random Fourier features vs ERM sparse additive modelT-SpAM(F) regression · Synthetic regression, noise ϵAASE: 0.204 to 0.173Helped
Random Fourier feature acceleration vs kernel matrix computation (ablation)T-SpAM · Synthetic regression, noise ϵA and ϵBruntime and ASENo clear effect
Tilted logistic loss (T-SpAM) vs ERM SpAM on contaminated labelsT-SpAM(F) classification · Robust classification, r1=0.1accuracy: 0.791 to 0.887Helped
Tilted logistic loss vs ERM SpAM on CME real dataT-SpAM(F) regression · CME arrival-time dataAMSE: 1.037 to 0.615Helped
Large positive tilt (t=0.5 to 2.0) vs negative tilt on noise ϵA regression (ablation)T-SpAM(F) · Synthetic regression, noise ϵAASE: 0.173 (t=0.1) rising to 0.296 (t=2.0)Hurt
Stronger negative tilt on heavy-tailed noise ϵC (ablation)T-SpAM(F) · Synthetic regression, noise ϵCASE: 0.041 (t=-0.1) vs 0.084 (t=-2.0)Mixed

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