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English(EN) From Approachability Residuals to Anytime-Valid Evidence: The Online Convex Geometry of Testing by Betting

新框架将投注检验与Blackwell可接近性联系起来

作者 PulseAugur 编辑部 · [1 个来源] ·

本文介绍了一个新颖的框架，通过支撑函数残差将基于投注的序贯检验与Blackwell可接近性联系起来。它建立了目标集距离与预测误差和遗憾总和之间的精确路径身份。该研究提出了一种受控随机实验，在该实验中，自适应零假设在持续的均值分离下会导致次线性遗憾和指数级财富，并应用于有界均值、核MMD和异构数据源。 AI

影响 在序贯检验和统计推断方面引入了理论进展，可能影响未来AI在决策和假设检验方面的研究。

排序理由 该集群包含一篇在arXiv上发表的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新框架将投注检验与Blackwell可接近性联系起来

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该集群包含一篇在arXiv上发表的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jinze Zhao ·

    从可接近性残差到随时有效证据：在线凸几何的测试与投注

    arXiv:2608.09450v1 Announce Type: new Abstract: Betting-based sequential tests and Blackwell approachability are linked by a rate-explicit reduction through support-function residuals. For a compact convex target $S$ and vector observations $r_t$, an OCO learner selects a predict…

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