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New Bayes-Assisted Confidence Sequences Improve Uncertainty Quantification

Researchers have developed a new Bayes-assisted framework for constructing confidence sequences, which offer time-uniform uncertainty quantification for bounded means. This method uses a Bayesian predictive model to adaptively select martingale updates that maximize predictive log-growth, ensuring validity even with misspecified priors. The procedure is proven to be asymptotically log-optimal under Wasserstein consistency, matching oracle procedures. Experiments demonstrated that informative priors can significantly narrow confidence intervals and reduce sampling needs, with applications including LLM evaluation. AI

IMPACT This new statistical framework can improve the efficiency and reduce sampling effort in applications like LLM evaluation.

RANK_REASON The cluster contains an academic paper detailing a new statistical method.

Read on arXiv stat.ML →

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

New Bayes-Assisted Confidence Sequences Improve Uncertainty Quantification

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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Valentin Kilian, Stefano Cortinovis, Fran\c{c}ois Caron ·

    Asymptotically Log-Optimal Bayes-Assisted Confidence Sequences for Bounded Means

    arXiv:2605.07964v1 Announce Type: new Abstract: Confidence sequences based on test martingales provide time-uniform uncertainty quantification for the mean of bounded IID observations without parametric distributional assumptions. Their practical efficiency, however, depends stro…

  2. arXiv stat.ML TIER_1 English(EN) · François Caron ·

    Asymptotically Log-Optimal Bayes-Assisted Confidence Sequences for Bounded Means

    Confidence sequences based on test martingales provide time-uniform uncertainty quantification for the mean of bounded IID observations without parametric distributional assumptions. Their practical efficiency, however, depends strongly on the choice of martingale updates, and ma…