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cs.CE2025
Nonparametric Stochastic Subspaces via the Bootstrap for Characterizing Model Error
Akash Yadav, Ruda Zhang
Reliable forward uncertainty quantification in engineering requires methods that account for aleatory and epistemic uncertainties. In many applications, epistemic effects arising f…
cs.CE2025
Stochastic Subspace via Probabilistic Principal Component Analysis for Characterizing Model Error
Akash Yadav, Ruda Zhang
This paper proposes a probabilistic model of subspaces based on the probabilistic principal component analysis (PCA). Given a sample of vectors in the embedding space -- commonly k…