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- W3217726304 abstract "Inference in deep Bayesian neural networks is only fully understood in the infinite-width limit, where the posterior flexibility afforded by increased depth washes out and the posterior predictive collapses to a shallow Gaussian process. Here, we interpret finite deep linear Bayesian neural networks as data-dependent scale mixtures of Gaussian process predictors across output channels. We leverage this observation to study representation learning in these networks, allowing us to connect limiting results obtained in previous studies within a unified framework. In total, these results advance our analytical understanding of how depth affects inference in a simple class of Bayesian neural networks." @default.
- W3217726304 created "2021-12-06" @default.
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- W3217726304 date "2021-10-31" @default.
- W3217726304 modified "2023-09-26" @default.
- W3217726304 title "Depth induces scale-averaging in overparameterized linear Bayesian neural networks" @default.
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- W3217726304 doi "https://doi.org/10.1109/ieeeconf53345.2021.9723137" @default.
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