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New Bayesian online learning framework preserves fast regret with approximations

Researchers have developed a new framework for Bayesian online learning that preserves fast predictive regret guarantees even with approximate posterior computations. The study demonstrates that the accuracy of the approximate posterior, measured by Wasserstein distance, directly impacts the inherited regret bound. This framework is applied to three examples: linear models using a projected Langevin algorithm, infinite-dimensional exponential family models with prior-preserving truncation, and Gaussian process regression with sparse variational posteriors. AI

IMPACT This research could lead to more efficient and scalable Bayesian methods in machine learning, particularly for online learning tasks.

RANK_REASON Academic paper detailing a new theoretical framework and its applications. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New Bayesian online learning framework preserves fast regret with approximations

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Academic paper detailing a new theoretical framework and its applications. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Ilsang Ohn ·

    Fast rates in Bayesian online learning with approximate posteriors

    arXiv:2608.25706v1 Announce Type: new Abstract: Exact Bayes prediction enjoys fast predictive regret guarantees, but exact posterior updating or representation may be too costly for online use. We study when these statistical guarantees are preserved by computational approximatio…