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Consistency of posterior distributions for neural networks

Neural Networks, 2000
In this paper we show that the posterior distribution for feedforward neural networks is asymptotically consistent. This paper extends earlier results on universal approximation properties of neural networks to the Bayesian setting. The proof of consistency embeds the problem in a density estimation problem, then uses bounds on the bracketing entropy ...
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On the Different Structures of Posterior Distributions with Respect to the Prior Distribution

1999
Abstract The aim of this paper is to understand which samples-give rise to each one the above cases without deriving a family of posterior distributions and to compute the probabilities to have these theree cases.
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On the asymptotic normality of the posterior distribution.

2001
Summary: Let a random sample of size \(n\) be drawn from a variable with probability density depending on a vector of parameters, \(\pmb\theta= (\theta_1,\theta_2,\dots,\theta_r)^\top\), and let us suppose that the prior distribution of \(\pmb\theta\) has continuous, positive density \(p(\pmb\theta)\) on an open set \(H\).
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Demystifying Posterior Distributions: A Tutorial on Their Derivation

Multivariate Behavioral Research
Bayesian statistics have gained significant traction across various fields over the past few decades. Bayesian statistics textbooks often provide both code and the analytical forms of parameters for simple models. However, they often omit the process of deriving posterior distributions or limit it to basic univariate examples focused on the mean and ...
Han Du   +3 more
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Defining Critical Glenoid Bone Loss in Posterior Shoulder Capsulolabral Repair

American Journal of Sports Medicine, 2021
Justin W Arner   +2 more
exaly  

Topical and systemic drug delivery to the posterior segments

Advanced Drug Delivery Reviews, 2005
Patrick M Hughes, O Olejnik
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Posterior Instability of the Shoulder

American Journal of Sports Medicine, 2015
James P Bradley
exaly  

Posterior Tibial Slope and Risk of Posterior Cruciate Ligament Injury

American Journal of Sports Medicine, 2019
Andrew S Bernhardson   +2 more
exaly  

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