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Multinomial Logit Contextual Bandits: Provable Optimality and Practicality

AAAI 2021 · Bandits and online learning › Contextual bandits and Thompson sampling · approach: Oracle-efficient contextual bandits · 16 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use episodic updates and targeted random exploration instead of updating the parameter every roundMNL contextual bandit · Runtime, N=100, K=5, d=5, T=1000runtime (sec): UCB-MNL: 6.62; DBL-MNL: 1.20Helped
Use episodic updates and targeted random exploration instead of updating the parameter every roundMNL contextual bandit · Runtime, N=100, K=5, d=5, T=5000runtime (sec): UCB-MNL: 74.28; DBL-MNL: 5.92Helped
Add online approximate parameter updates in place of repeated exact MLE computation (ablation)UCB-MNL · MNL contextual banditsexpected regretNo clear effect
Use episodic estimation and targeted exploration to obtain the sharper dimension dependenceDBL-MNL · MNL contextual bandits with uniform item revenueexpected regret: \tilde{\Ocal}(d\sqrt{T}) -> \tilde{\Ocal}(\sqrt{dT})Helped
Use the Auer-framework to generate independent samplesMNL contextual bandit · MNL contextual banditsexpected regret: \tilde{\Ocal}(\sqrt{dT})Helped

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