27 citations · 41 across the 4 of their papers we have counts for
4 papers
Model order reduction of parametric dynamical systems by slice sampling tensor completion
Alexander V. Mamonov, Maxim A. Olshanskii
Recent studies have demonstrated the great potential of reduced order modeling for parametric dynamical systems using low-rank tensor decompositions (LRTD). In particular, within t…
Reduced order model approach for imaging with waves
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves.…
Distance preserving model order reduction of graph-Laplacians and cluster analysis
Vladimir Druskin, Alexander V. Mamonov, Mikhail Zaslavsky
Graph-Laplacians and their spectral embeddings play an important role in multiple areas of machine learning. This paper is focused on graph-Laplacian dimension reduction for the sp…
Untangling the nonlinearity in inverse scattering with data-driven reduced order models
Liliana Borcea, Vladimir Druskin, Alexander V. Mamonov +1
The motivation of this work is an inverse problem for the acoustic wave equation, where an array of sensors probes an unknown medium with pulses and measures the scattered waves. T…