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MetaGrad: Multiple Learning Rates in Online Learning

NeurIPS 2016 · Bandits and online learning › Online convex optimization and games · approach: Parameter-free non-stationary online learning · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace fixed decreasing learning rates with MetaGrad's master that aggregates multiple learning rates via tilted exponential weightsonline convex optimization (MetaGrad full version) · 1-D simulation: fixed f(u)=|u-1/4| and stochastic |u-x_t|regret growth rateHelped
Use the Bernstein-condition / directional-derivative curvature conditions to get logarithmic regret for functions without curvature (e.g., unregularized hinge loss)online convex optimization with hinge loss · i.i.d. hinge loss on unit ball with beta=1regret rateHelped

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