59 citations · 109 across the 17 of their papers we have counts for
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cs.LG2020★ 3 cited
Grassmannian diffusion maps based dimension reduction and classification for high-dimensional data
K. R. M. dos Santos, D. G. Giovanis, M. D. Shields
This work introduces the Grassmannian Diffusion Maps, a novel nonlinear dimensionality reduction technique that defines the affinity between points through their representation as…
math.NA2020★ 59 cited
Data-driven surrogates for high dimensional models using Gaussian process regression on the Grassmann manifold
Dimitris G. Giovanis, Michael D. Shields
This paper introduces a surrogate modeling scheme based on Grassmannian manifold learning to be used for cost-efficient predictions of high-dimensional stochastic systems. The meth…