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New Bayesian method improves derivative estimation for infinite-dimensional models

A new research paper published on arXiv details advancements in Bayesian derivative estimation for infinite-dimensional exponential families. The study introduces a novel approach using the Wasserstein distance, building upon previous work by Dolera et al. (2024). The findings demonstrate that smoothness-matching priors can achieve optimal posterior contraction rates in Sobolev norms, applicable to various models including density estimation, Poisson intensity estimation, and the Gaussian white-noise model. AI

IMPACT This research advances theoretical understanding in Bayesian statistics, potentially impacting AI applications that rely on complex derivative estimation and modeling.

RANK_REASON The cluster contains a research paper published on arXiv detailing a new statistical method. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv stat.ML →

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New Bayesian method improves derivative estimation for infinite-dimensional models

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Emanuele Dolera, Stefano Favaro, Matteo Giordano ·

    Posterior contraction rates in Sobolev norms and Bayesian derivative estimation for infinite-dimensional exponential families

    arXiv:2608.11130v1 Announce Type: cross Abstract: We study posterior contraction in positive-order Sobolev norms and Bayesian derivative estimation for infinite-dimensional exponential families. We embed the natural parameter in a Hilbert scale and model it via a standard Gaussia…