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Dynamic assortment optimization with changing contextual information

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Improved Online Confidence Bounds for Multinomial Logistic Bandits

stat.ML · 2025-02-14 · conditional · novelty 7.0

New ℓ∞-self-concordant analysis and Ville's-inequality martingale control yield an online confidence bound of O(√(d log t) + B√d), leading to variance-dependent MNL bandit regret with no K dependence and only asymptotic B dependence.

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  • Improved Online Confidence Bounds for Multinomial Logistic Bandits stat.ML · 2025-02-14 · conditional · none · ref 6

    New ℓ∞-self-concordant analysis and Ville's-inequality martingale control yield an online confidence bound of O(√(d log t) + B√d), leading to variance-dependent MNL bandit regret with no K dependence and only asymptotic B dependence.