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Finding Relevant Information via a Discrete Fourier Expansion

ICML 2021 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Fourier-based SFFS feature selection with depth t=3 instead of other filter methods (except ReliefF)feature selection on synthetic E1/E2 · E1, E2classification accuracyHelped
Apply FOURIER-ORTH redundancy removal before feature selection (remove statistically redundant features)SFFS · ALL AML, Isolet, USPSnumber of non-trivial features: d-tilde 39 vs d 7128 on ALL AML; 309 vs 617 on IsoletHelped
Increase depth parameter t from 1 to larger values (ablation)SFFS · ALL AML, Covertype, Australianclassification accuracyNo clear effect
Increase depth parameter t beyond small values (ablation)SFFS · real datasets (ALL AML, Covertype, Australian)classification accuracyHurt
SFFS with t=1 or t=2 versus baselines (ReliefF, mRMR, MI, RFS, CCM)feature selection on real datasets · USPS, Isolet, Musk, Australian, COIL20, Covertype, ALL AMLclassification accuracyHelped
Use SFFS (t=1) instead of mRMR for speedfeature selection running time · Covertyperunning time (s): SFFS 2.7 s vs mRMR 1.41 s on Covertype; SFFS faster on Isolet/COIL20 (74.26 vs 3585 s for mRMR on Isolet vs COIL20 valueMixed

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