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New e-processes aggregate optimal sequential tests

Researchers have demonstrated a method to aggregate asymptotically optimal sequential tests into log-optimal e-processes. This work proves the converse of a previous finding, establishing that optimal sequential tests can indeed be constructed from these e-processes. The new approach utilizes a novel class of WAIT e-processes, which are weighted aggregates of indicators of stopping times. AI

IMPACT This research advances theoretical understanding in sequential testing, which could have downstream implications for AI systems that require efficient decision-making under uncertainty.

RANK_REASON The cluster contains an academic paper published on arXiv detailing a new theoretical result in statistics.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New e-processes aggregate optimal sequential tests

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The cluster contains an academic paper published on arXiv detailing a new theoretical result in statistics.
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COVERAGE [2]

  1. arXiv stat.ML TIER_1 (CA) · Ashwin Ram, Aaditya Ramdas ·

    Optimal sequential tests yield log-optimal e-processes

    arXiv:2605.12720v1 Announce Type: cross Abstract: It has been recently shown that e-processes are sufficient for sequential testing in the following sense: every level-$\alpha$ sequential test can be obtained by thresholding an e-process at $1/\alpha$. However, in the above resul…

  2. arXiv stat.ML TIER_1 (CA) · Aaditya Ramdas ·

    Optimal sequential tests yield log-optimal e-processes

    It has been recently shown that e-processes are sufficient for sequential testing in the following sense: every level-$α$ sequential test can be obtained by thresholding an e-process at $1/α$. However, in the above result, neither does the test have to be asymptotically optimal (…