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New XMSE-Aware Mixed Estimator Blends ML and Empirical Bayes

By PulseAugur Editorial · [3 sources] ·

Researchers have developed a novel XMSE-aware mixed estimator that interpolates between maximum likelihood (ML) and Empirical Bayes (EB) shrinkage. This approach aims to improve upon existing EB estimators, which can underperform ML when their kernel is misaligned with the true parameter. The proposed method uses a fixed-weight XMSE to derive an oracle mixing weight, ensuring it is no worse than ML or the base EB estimator. A plug-in implementation based on finite-sample XMSE approximations is shown to be consistent, offering a second-order oracle regret rate. AI

IMPACT This research could lead to more robust statistical methods in machine learning, particularly in scenarios with kernel misspecification.

RANK_REASON The cluster describes a new academic paper detailing a statistical estimation method.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 3 sources. How we write summaries →

New XMSE-Aware Mixed Estimator Blends ML and Empirical Bayes

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COVERAGE [3]

  1. arXiv cs.LG TIER_1 English(EN) · Jiale Zheng ·

    XMSE-Aware Adaptive Empirical Bayes Estimation

    Empirical Bayes (EB) estimators can match the first-order asymptotic risk of maximum likelihood (ML) while behaving very differently at second order: recent excess mean squared error (XMSE) analysis shows that kernel-based EB estimation may be worse than ML when the kernel is poo…

  2. Hugging Face Daily Papers TIER_1 English(EN) ·

    XMSE-Aware Adaptive Empirical Bayes Estimation

    Empirical Bayes (EB) estimators can match the first-order asymptotic risk of maximum likelihood (ML) while behaving very differently at second order: recent excess mean squared error (XMSE) analysis shows that kernel-based EB estimation may be worse than ML when the kernel is poo…

  3. arXiv stat.ML TIER_1 English(EN) · Minghao Chen, Jiale Zheng ·

    XMSE-Aware Adaptive Empirical Bayes Estimation

    arXiv:2606.26975v1 Announce Type: new Abstract: Empirical Bayes (EB) estimators can match the first-order asymptotic risk of maximum likelihood (ML) while behaving very differently at second order: recent excess mean squared error (XMSE) analysis shows that kernel-based EB estima…

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