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Using 20.3 fb(-1) of e(+) e(-) annihilation data collected at a center-of-mass energy of 3.773 GeV with the BESIII detector, we report on an improved search for the radiative leptonic decay D+ -> gamma e(+)nu(e). An upper limit on its partial branching fraction for photon energies E-gamma > 10 MeV was determined to be 1.2 x 10(-5) at a 90% confidence level; this excludes most current theoretical predictions. A sophisticated deep learning approach, which includes thorough validation and is based on the Transformer architecture, was implemented to efficiently distinguish the signal from massive backgrounds.