\begin{document}$e^+e^-$\end{document} 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 \begin{document}$D^+\to\gamma e^+\nu_e$\end{document}. An upper limit on its partial branching fraction for photon energies \begin{document}$E_\gamma>10 $\end{document} MeV was determined to be \begin{document}$1.2\times10^{-5}$\end{document} 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."> Search for radiative leptonic decay <i>D</i><sup>+</sup>→<i>γe</i><sup>+</sup><i>ν<sub>e</sub></i> using deep learning -
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