2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162466Recommender systems are significant to help people deal with the world of information explosion and overload. In this Letter, we develop a general framework named self-consistent refinement and implement it be embedding two representative recommendation algorithms: similarity-based and spectrum-based methods. Numerical simulations on a benchmark data set demonstrate that the present method converges fast and can provide quite better performance than the standard methods.4 pages, 2 figuresData Analysis, Statistics and ProbabilityPhysics and Societytext