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Researcher profile

Alexandre M. Tartakovsky

2 papers in the PaperMetrix corpus

Publications

Papers by this author

  1. Physics-Informed Kriging: A Physics-Informed Gaussian Process Regression Method for Data-Model Convergence.

    2018 · arXiv (Cornell University)

    In this work, we propose a new Gaussian process regression (GPR) method: physics-informed Kriging (PhIK). In the standard data-driven Kriging, the unknown function of interest is usually treated as a Gaussian process with assumed stationary …

  2. Randomized physics-informed machine learning for uncertainty quantification in high-dimensional inverse problems

    2024 · Journal of Computational Physics

    We propose the randomized physics-informed conditional Karhunen-Loève expansion (rPICKLE) method for uncertainty quantification in high-dimensional inverse problems. In rPICKLE, the states and parameters of the governing partial differential equation (PDE) are approximated via truncated conditional …