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Real-Time Optimisation for Online Learning in Auctions

ICML 2020 · Bandits and online learning › Online convex optimization and games · approach: Learning for pricing and auctions · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use V-Conv-OGA instead of ERM at every stepOnline monopoly-price learning for a stationary bidder · Stationary bidderupdate complexity: \mathcal{O}(t) -> \mathcal{O}(1)Helped
Use V-Conv-OGA instead of ERM at every stepOnline monopoly-price learning for a stationary bidder · Stationary biddermemory complexity: \mathcal{O}(t) -> \mathcal{O}(1)Helped
Use V-Conv-OGA instead of ERM at every stepOnline monopoly-price learning for a stationary bidder · Stationary bidderconvergence rate: \mathcal{O}(1/t) -> \mathcal{O}(1/\sqrt{t})Hurt
Discretise ERM on a grid of resolution 1/√tERM · Stationary bidderupdate complexity: \mathcal{O}(t) -> \mathcal{O}(\sqrt{t})Helped
Discretise ERM on a grid of resolution 1/√tERM · Stationary biddermemory complexity: \mathcal{O}(t) -> \mathcal{O}(\sqrt{t})Helped
Smooth the instantaneous revenue by convolutionOnline gradient ascent for monopoly-price learning · Stationary biddergradient biasHelped
Decrease the smoothing kernel over timeConv-OGA, yielding V-Conv-OGA · Stationary biddersquared reserve-price error: \tilde{\mathcal{O}}\big(t^{-1/2}\big)Helped
Use a Gaussian kernel that decays slower than 1/√t (ablation)V-Conv-OGA · Stationary bidderconvergence speedHurt
Decrease the Gaussian kernel faster than 1/√t (ablation)V-Conv-OGA · Stationary bidderconvergence stabilityHurt
Use Conv-OGA with a constant learning rate and fixed smoothingOnline monopoly-price tracking · Non-stationary bidderdynamic regret: \mathcal{O}(\sqrt{T})Helped
Increase the constant learning rate (ablation)Conv-OGA · Non-stationary bidderadaptation after a distribution switchHelped
Increase the constant learning rate (ablation)Conv-OGA · Non-stationary bidderasymptotic error bandHurt

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