Nature CommunicationsDeep-learning-empowered programmable topolectrical circuitsHao JiaShanglin YangJiajun HeShuo LiuHaoxiang ChenCe ShangShaojie MaPeng HanChing Hua LeeZhen GaoYun LaiTie Jun Cui2026-05-07Full textDOI https://doi.org/10.1038/s41467-026-72901-y