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新的 Thompson Sampling 变体解释了在 bandit 问题中的方差膨胀

研究人员推出了一种名为“$\alpha$-TS”的广义线性 bandit 问题 Thompson Sampling 算法变体。这种新方法将方差膨胀的概念形式化,这对于在现有分析中实现近乎最优的遗憾保证是必要的。该研究概述了在无需可处理后验近似的情况下分析 $\alpha$-TS 的一般条件,这与先前的工作不同。研究结果为特定奖励分布建立了 $O(d^{3/2}\sqrt{T}\log T)$ 的遗憾界限,并提供了一个解释上限中 $d^{3/2}$ 因子来源的下界。 AI

影响 为 bandit 问题引入了一种新颖的算法方法,有可能改进 AI 系统的决策。

排序理由 详细介绍新算法及其理论分析的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv stat.ML 阅读 →

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新的 Thompson Sampling 变体解释了在 bandit 问题中的方差膨胀

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详细介绍新算法及其理论分析的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Prateek Jaiswal, Debdeep Pati, Anirban Bhattacharya, Bani K. Mallick ·

    后验退火解释了线性和广义线性Thompson采样中的方差膨胀

    arXiv:2609.01999v1 Announce Type: new Abstract: We study a variant of the Thompson Sampling (TS) algorithm, called $\alpha$-TS, for solving stochastic generalized linear bandit problems. Existing analyses of TS require inflating the posterior variance to derive near-optimal regre…