MLP classifiers can label matrices for HHL suitability with high accuracy when the exact condition number is given, but without it they require training data matched to the target matrix distribution and still struggle to identify unsuitable matrices.
Quantum Algorithm for Linear Systems of Equations,
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Depth-Based Matrix Classification for the HHL Quantum Algorithm
MLP classifiers can label matrices for HHL suitability with high accuracy when the exact condition number is given, but without it they require training data matched to the target matrix distribution and still struggle to identify unsuitable matrices.