306 citations · 668 across the 30 of their papers we have counts for
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A variational Lippmann-Schwinger-type approach for the Helmholtz impedance problem on bounded domains
Andreas Tataris, Alexander V. Mamonov
Recently, reduced order modeling methods have been applied to solving inverse boundary value problems arising in frequency domain scattering theory. A key step in projection-based…
Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion
Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1
Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…
Inverse scattering for Schrödinger equation in the frequency domain via data-driven reduced order modeling
Andreas Tataris, Tristan van Leeuwen, Alexander V. Mamonov
In this paper we develop a numerical method for solving an inverse scattering problem of estimating the scattering potential in a Schrödinger equation from frequency domain measure…
Autoencoded UMAP-Enhanced Clustering for Unsupervised Learning
Malihehsadat Chavooshi, Alexander V. Mamonov
We propose a novel approach to unsupervised learning by constructing a non-linear embedding of the data into a low-dimensional space followed by any conventional clustering algorit…