Researchers propose a novel Robust Principal Component Analysis (RPCA) model for decomposing data into low-rank and sparse components.The model integrates adaptive weighted least squares (AWLS) and low-rank matrix factorization (LRMF).It employs a self-attention-inspired mechanism to dynamically adjust and emphasize significant components.The proposed method outperforms existing non-convex regularization approaches in terms of performance, stability, accuracy, and robustness.