4 papers
Fixed Points, Stability, Basin Geometry, and Global Convergence of the Correlation Map
Ishrak Alhajj Hassan
For more than half a century, iterated Pearson correlation has underpinned methods for network blockmodeling, clustering, seriation, and information visualization. Despite its cont…
A Two-Channel F-Transform Representation for Early Trajectory Characterization in Iterated Correlation Dynamics
Ishrak Alhajj Hassan
Many nonlinear iterative systems generate high-dimensional trajectories whose early behavior is informative but difficult to compare directly. This paper derives a fixed-dimensiona…
Finite-Step Bounds for Iterated Correlation Matrices
Ishrak AlhajjHassan
We establish finite-step probabilistic upper bounds on the contraction ratios for iterated Pearson correlation dynamics. Let be the sequence ge…
Empirical Laws for Iterated Correlation Matrices
Ishrak Alhajj Hassan
We study the discrete dynamical system obtained by repeatedly applying the Pearson correlation operator to a real matrix. Each step centers every row, normalizes each centered row…