Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems   Data-driven reduced order models (ROMs) are combined with the
Lippmann-Schwinger integral equation to produce a direct nonlinear inversion
method. The ROM is viewed as a Galerkin projection and is sparse due to Lanczos
orthogonalization. Embedding into the continuous problem, a data-driven
internal solution is produced. This internal solution is then used in the
Lippmann-Schwinger equation, thus making further iterative updates unnecessary.
We show numerical experiments for spectral domain domain data for which our
inversion is far superior to the Born inversion and works as well as when the
true internal solution is known.

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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph