On Kernel Eigen-alignments of KRR: Reconstruction and Generalization

ArXi:2605.15240v1 Announce Type: cross This paper investigates the critical role of eigenalignments between the kernel matrix and learning targets in achieving robust generalization in learning problems. We establish a direct connection between generalization performance in kernel methods and the estimation of eigenvectors and eigenvalues of matrices, offering a intuitive understanding compared to prior work with minimal assumptions.