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Incremental Randomized Sketching for Online Kernel Learning

ICML 2019 · Bandits and online learning › Online convex optimization and games · approach: Online learning with feedback graphs · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
incremental randomized sketching (IRS) instead of incremental Nystrom for kernel approximationkernel matrix approximation · german and svmguide3, B=100/200relative error: e.g. 0.078 -> 0.059 (german B=100)Helped
SkeGD vs. NOGD (Nystrom-based online kernel learning) with budget B=100/200online kernel learning · 8 LIBSVM benchmarksmistake rate (%): e.g. 29.881 -> 27.932 (german); 34.332 -> 31.301 (spambase)Helped
incremental randomized sketching with update cycle rho = 0.005T in adversarial environmentsonline kernel learning · german adversarial datasetsmistake rate (%): german-1: 30.918 (NOGD) -> 16.578; german-2: 26.737 (NOGD) -> 7.266Helped
smaller tau = sm/sp (sketch ratio 0.2 vs up to 0.8) (ablation)SkeGD · cod-rna, B=200/300/400average mistake rate and running time: smaller tau yields lower mistake rate and running timeHelped
larger number of hash blocks d in the sparse transform sketch (ablation)SkeGD · spambase, B=200/300/400average mistake rate: large d significantly improves accuracy with little sacrifice of time efficiencyHelped
larger budget B (ablation)SkeGD · cod-rnamistake rate and running time: higher budget lowers mistake rate but raises running timeMixed
update cycle rho too large or too small in adversarial setting (ablation)SkeGD · german adversarialmistake rate (%): theta=0.005 best on german-1 (16.578) and german-2 (7.266); theta=0.001 costs more time (1.183/1.856 s)Mixed

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