A Theory of Diversity for Random Matrices with Applications to In-Context Learning of Schrödinger Equations

Frank Cole, Yulong Lu, Shaurya Sehgal

We address the following question: given a collection $\{{\mathbf{A}}^{(1)},\dots ,{\mathbf{A}}^{(N)}\}$ of independent $d\times d$ random matrices drawn from a common distribution $…