Publications2026Calibrating Scientific Foundation Models with Inference-Time Stochastic AttentionAkash Yadav, Taiwo A. Adebiyi, Ruda Zhang arXiv, 2026. Under review. PDF2025Stochastic Subspace via Probabilistic Principal Component Analysis for Characterizing Model ErrorAkash Yadav, Ruda Zhang Computational Mechanics, 2025 PDF CodeBayesian Optimization under Uncertainty for Training a Scale Parameter in Stochastic ModelsAkash Yadav, Ruda Zhang arXiv, 2025 PDF CodeNonparametric Stochastic Subspaces via the Bootstrap for Characterizing Model ErrorAkash Yadav, Ruda Zhang arXiv, 2025 PDF Code