most citedOptimal criteria and their asymptotic form for data selection in data-driven reduced-order modeling with Gaussian process regression

11 citations · 18 across the 2 of their papers we have counts for

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2 papers

math.DS2021★ 11 cited

Optimal criteria and their asymptotic form for data selection in data-driven reduced-order modeling with Gaussian process regression

Themistoklis P. Sapsis, Antoine Blanchard

We derive criteria for the selection of datapoints used for data-driven reduced-order modeling and other areas of supervised learning based on Gaussian process regression (GPR). Wh…

physics.comp-ph2019★ 7 cited

Learning the Tangent Space of Dynamical Instabilities from Data

Antoine Blanchard, Themistoklis P. Sapsis

For a large class of dynamical systems, the optimally time-dependent (OTD) modes, a set of deformable orthonormal tangent vectors that track directions of instabilities along any t…