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Online Multi-Kernel Learning with Graph-Structured Feedback

ICML 2020 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase max kernels per selective node M (e.g. 1 to 7 at J=1) (ablation)OMKL-GF · Air Quality, Istanbul, Twitter, Tom's HardwareMSE: Air Quality 8.1→4.2; Istanbul 61.9→13.3; Twitter 16.5→5.3; Tom's 12.3→3.7Helped
Reduce number of selective nodes J (fewer, e.g. J=1 vs J=2 or 4) (ablation)OMKL-GF · Air Quality, Istanbul, Twitter, Tom's Hardware, NavalMSE: Air Quality M=1: J=1 8.1 vs J=4 11.2; Naval M=1: J=1 20.1 vs J=3 18.6 (reverse)Helped
Increase number of selective nodes J from 1 to 3 (Naval Propulsion) (ablation)OMKL-GF · Naval Propulsion PlantsMSE: M=1: 20.1 (J=1) vs 18.6 (J=3); M=10: 1.4 (J=1) vs 1.7 (J=3)Mixed
Use graph-structured kernel selection (OMKL-GF, M=7-10, J=1) instead of all-kernel RakerOMKL-GF vs Raker · Air Quality, Twitter, Tom's HardwareMSE: Air Quality 3.9 vs 4.7; Twitter 4.7 vs 5.3; Tom's 3.5 vs 4.6Helped
Graph-structured kernel selection vs Raker on Istanbul and Naval datasetsOMKL-GF vs Raker · Istanbul Stock Exchange, Naval Propulsion PlantsMSE: Istanbul 11.3 vs 11.3 (M=17,J=1); Naval 1.4 vs 1.4 (M=10,J=1)No clear effect
Graph-structured kernel selection vs OMKR-FA (random feature MKL with all kernels)OMKL-GF vs OMKR-FA · all five datasets (M=1, J=1 and larger M)MSE: Air Quality 8.1 vs 41.2 (M=1); Naval 1.4 vs 294.9 (M=10)Helped
Graph-structured kernel selection vs exact OMKR (no random features)OMKL-GF vs OMKR · all datasetsMSE: OMKR 3.3 vs OMKL-GF best 3.9 (Air Quality); OMKR 1.0 vs 1.4 (Naval)Hurt
Graph-structured selection reduces execution time vs RakerOMKL-GF vs Raker · Naval Propulsion Plantsexecution time (s): 1.24s (M=1,J=1) / 2.49s (M=10,J=1) vs 4.14s RakerHelped
Lazy graph generation (skip graph once squared error < 1e-4)OMKL-GF · all datasetsMSE: not separately reportedNo clear effect

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