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Found 2 papers, 1 papers with code
Fully Bayesian inference for latent variable Gaussian process models
However, this plug-in approach will not account for uncertainty in estimation of the LVs, which can be significant especially with limited training data.
Scalable Gaussian Processes for Data-Driven Design using Big Data with Categorical Factors
In addition, an interpretable latent space is obtained to draw insights into the effect of categorical factors, such as those associated with building blocks of architectures and element choices in metamaterial and materials design.
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