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English(EN) Information on trajectories: martingales and random times

新论文探讨鞅中的信息流,统一了集中不等式

一篇新发表在arXiv上的论文详细介绍了在非负鞅的路径空间中理解信息流的进展。该研究引入了精确的变分恒等式,即使在任意随机时间也适用,统一并扩展了如Ville和PAC-Bayesian学习等经典集中不等式。该工作还量化了与任意随机时间预测相关的“窥探惩罚”,并探讨了测试鞅的几何混合如何使多模型安全测试受益。 AI

排序理由 该集群包含一篇发表在arXiv上的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]

在 arXiv cs.LG 阅读 →

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新论文探讨鞅中的信息流,统一了集中不等式

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该集群包含一篇发表在arXiv上的学术论文。[lever_c_demoted from research: ic=1 ai=0.4]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Akshay Balsubramani ·

    轨迹上的信息:鞅与随机时间

    arXiv:2608.20337v1 Announce Type: cross Abstract: Accounting for information flow on the path space of trajectories of a nonnegative martingale yields exact variational identities for it, even at arbitrary random times. This recovers the widely used classical concentration inequa…