high-dimensional limit 1random geometric graphs 1semicircle law 1sparse regime 1spectral distribution 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Spectra of high-dimensional sparse random geometric graphs
Yifan Cao, Yizhe Zhu
The paper determines the limiting empirical spectral distribution of sparse high‑dimensional random geometric graphs, showing that in two sparse regimes the global spectrum matches…
stat.ML2025
Universality of Kernel Random Matrices and Kernel Regression in the Quadratic Regime
Parthe Pandit, Zhichao Wang, Yizhe Zhu
Kernel ridge regression (KRR) is a popular class of machine learning models that has become an important tool for understanding deep learning. Much of the focus thus far has been o…
math.PR2025
Singular values of sparse random rectangular matrices: Emergence of outliers at criticality
Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang +1
Consider the random bipartite ErdÅs-Rényi graph , where each edge with one vertex in and the other vertex in is connected with proba…