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This invention is directed to a machine leaning methodology to quantify the association of a set of input variables to a set of output variables, specifically for the one-to-many scenarios in which the output exhibits a range of variations under the same replicated input condi

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When a magnetic field is applied to a type-II superconductor, it penetrates the superconductor in a thin cylindrical line known as a vortex line. Traditional methods to manipulate these vortices are limited in precision and affect a broad area.

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Molecular Beam Epitaxy is a traditional technique for the synthesis of thin film materials used in the semiconducting and microelectronics industry.  In its essence, the MBE technique heats crucibles filled with ultra-pure atomic elements under ultra high vacuum condition