Least-square approach for singular value decompositions of scattering problems

It was recently observed that chiral two-body interactions can be efficiently represented using matrix factorization techniques such as the singular value decomposition. However, exploitation of these low-rank structures in a few- or many-body framework is nontrivial and requires reformulations explicitly utilize decomposition format. In this work, we present general least-square approach applicable to different frameworks allows for an efficient reduction low number values iteration. We verify feasibility by solving Lippmann-Schwinger equation factorized form. The resulting approximations $T$ are found fully capture scattering observables. Potential applications other with goal employing tensor discussed.