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Evolutionary quantum feature selection

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arxiv 2303.07131 v1 pith:ADKJFAJB submitted 2023-03-13 quant-ph cs.LGmath.CO

classification quant-phcs.LGmath.CO
keywords featureeqfsnumberquantumselectioncombinationsevolutionaryfunction
verification ladder T0 review T1 audit T2 compute T3 formal
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Effective feature selection is essential for enhancing the performance of artificial intelligence models. It involves identifying feature combinations that optimize a given metric, but this is a challenging task due to the problem's exponential time complexity. In this study, we present an innovative heuristic called Evolutionary Quantum Feature Selection (EQFS) that employs the Quantum Circuit Evolution (QCE) algorithm. Our approach harnesses the unique capabilities of QCE, which utilizes shallow depth circuits to generate sparse probability distributions. Our computational experiments demonstrate that EQFS can identify good feature combinations with quadratic scaling in the number of features. To evaluate EQFS's performance, we counted the number of times a given classical model assesses the cost function for a specific metric, as a function of the number of generations.

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    By classically reconstructing quantum model outputs, Q-FLAIR selects gates, features, and weights with O(M) quantum evaluations per iteration, decoupling quantum cost from feature dimension and enabling >90% MNIST acc...

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