Physics-Aware Linearized ADMM and Its Unrolling
Researchers have developed a new algorithm called Physics-Aware Linearized ADMM (PA-LADMM) for solving inverse problems in signal processing that involve complex partial differential equations (PDEs). This method simplifies PDE subproblems for more efficient computation, requiring only PDE solver and gradient evaluations per iteration. The algorithm is theoretically guaranteed to converge under specific conditions and has been enhanced with deep unfolding techniques for parameter training. Experiments in optical fiber communication and image restoration validated the effectiveness of PA-LADMM. AI