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New theory explores Bayesian Neural Networks with dependent weights

Researchers have developed a new theoretical framework for understanding Bayesian Neural Networks (BNNs) with dependent weights. This work extends previous findings by analyzing the posterior distribution of BNN outputs in the wide-width limit. The study provides conditions under which the output distribution converges to a Gaussian mixture, offering insights into the behavior of deep learning models. AI

影响 This theoretical work advances the understanding of Bayesian Neural Networks, potentially leading to more robust and interpretable deep learning models.

排序理由 The cluster contains an academic paper detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv stat.ML 阅读 →

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New theory explores Bayesian Neural Networks with dependent weights

报道来源 [1]

  1. arXiv stat.ML TIER_1 English(EN) · Nicola Apollonio, Giovanni Franzina, Giovanni Luca Torrisi ·

    Posterior Bayesian Neural Networks with Dependent Weights

    arXiv:2507.22095v5 Announce Type: replace Abstract: We consider fully connected and feedforward deep neural networks with dependent and possibly heavy-tailed weights, as introduced in [26], to address limitations of the standard Gaussian prior. It has been proved in [26] that, as…