Prior-Guided Diffusion Processes: A Unified Framework for Knowledge-Informed Generative Modeling with Theoretical Guarantees and Prognostic Case Studies. - Liu, Qing; Di, Yanqiang; Meng, Xianguo; Wang, Zhiqiang; Xie, Zhiying; Cui, Haohao; Wang, Tao (Mathematical & Computational Applications, 2026)