Marcial Gonzalez

TL;DR: A probabilistic version of AS which is gradient-free and robust to observational noise is developed which is able to discover the same AS as the classical approach in a challenging one-hundred-dimensional problem involving an elliptic stochastic partial differential equation with random conductivity.

TL;DR: The results conclusively showed that active process control, based on product and process knowledge and advanced model-based techniques, including data reconciliation, model predictive control (MPC), and risk analysis, is indispensable to comprehensive QbC implementation, and ensures robustness and efficiency.

TL;DR: In this article, a Gaussian process regression with built-in dimensionality reduction with the active subspace represented as an orthogonal projection matrix that serves as yet another covariance function hyper-parameter to be estimated from the data is proposed.

TL;DR: In this paper, the authors present a nonlocal contact formulation of contact mechanics that accounts for the interplay of deformations due to multiple contact forces acting on a single particle, which reduces to Hertz theory.

TL;DR: In this paper, the development of a computational simulation system for modeling the solidification process in a continuous casting facility for steel slabs is discussed, which couples a module for solving the direct problem (the calculation of temperatures in the steel strand) with an inverse analysis module that was developed for evaluating the steel/mold heat fluxes from the information provided by thermocouples installed in the continuous casting mold copper plates.