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eess.SY2026
Elementwise Positivity of the Solution to Lyapunov Equation for Hurwitz Companion Matrices
Miaomiao Wang, Patrizio Colaneri, Jie Chen
We prove, with the aid of AI, that for every real symmetric forcing matrix , the unique solution of a continuous-time Lyapunov equation is entrywise nonnegative whenever…
cs.LG2026
Perron--Frobenius Operator Matching for Generative Modeling
Shiqi Zhang, Wuwei Wu, Jaemin Oh +2
We introduce Perron--Frobenius Operator Matching (PFOM), a generative framework that matches density evolution via the integral PF operator, subsuming flow, diffusion, and jump mod…