AI RESEARCH

Manifold-based Algorithms for the Hadamard Decomposition

arXiv CS.LG

ArXi:2605.28980v1 Announce Type: cross Given a matrix $X$, and two ranks $r_1$ and $r_2$, the Hadamard decomposition (HD) looks for two low-rank matrices, $X_1$ of rank $r_1$ and $X_2$ of rank $r_2$, both of the same size as $X$, such that $X\approx X_1\circ X_2$, where $\circ$ is the Hadamard (element-wise) product.