2022
DOI: 10.48550/arxiv.2205.00455
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Quantum-inspired algorithm for truncated total least squares solution

Abstract: Total least squares (TLS) methods have been widely used in data fitting. Compared with the least squares method, for TLS problem we takes into account not only the observation errors, but also the errors in the measurement matrix. This is more realistic in practical applications. For the large-scale discrete ill-posed problem Ax ≈ b, we introduce the quantum-inspired techniques to approximate the truncated total least squares (TTLS) solution. We analyze the accuracy of the quantum-inspired truncated total leas… Show more

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“…A productive approach to overcome these problems is the randomization approach. It allows not only to reduce computational costs when searching for solutions, but also, as it turned out, to give stability to numerical methods, see also [58][59][60][61].…”
Section: Input Data Transformationsmentioning
confidence: 99%
“…A productive approach to overcome these problems is the randomization approach. It allows not only to reduce computational costs when searching for solutions, but also, as it turned out, to give stability to numerical methods, see also [58][59][60][61].…”
Section: Input Data Transformationsmentioning
confidence: 99%