TY - RPRT TI - Learning and discovering multiple solutions using physics-informed neural networks with random initialization and deep ensemble AU - Zou, Zongren [Brown Univ., Providence, RI (United States)] AU - Wang, Zhicheng [Brown Univ., Providence, RI (United States)] AU - Em Karniadakis, George [Brown Univ., Providence, RI (United States)] (ORCID:0000000297137120) PY - 2025 DO - 10.1098/rspa.2025.0205 UR - https://www.osti.gov/biblio/3366146 ID - 3366146 ER -