17 citations · 26 across the 8 of their papers we have counts for
8 papers
Entropy-driven Fair and Effective Federated Learning
Lin Wang, Zhichao Wang, Ye Shi +2
Federated Learning (FL) enables collaborative model training across distributed devices while preserving data privacy. Nonetheless, the heterogeneity of edge devices often leads to…
Overparameterized random feature regression with nearly orthogonal data
Zhichao Wang, Yizhe Zhu
We investigate the properties of random feature ridge regression (RFRR) given by a two-layer neural network with random Gaussian initialization. We study the non-asymptotic behavio…
Deformed semicircle law and concentration of nonlinear random matrices for ultra-wide neural networks
Zhichao Wang, Yizhe Zhu
In this paper, we investigate a two-layer fully connected neural network of the form , where $X\in\mathbb{R}^{d_0\tim…
Tree convolution for probability distributions with unbounded support
Ethan Davis, David Jekel, Zhichao Wang
We develop the complex-analytic viewpoint on the tree convolutions studied by the second author and Weihua Liu in "An operad of non-commutative independences defined by trees" (Dis…
Spectra of the Conjugate Kernel and Neural Tangent Kernel for linear-width neural networks
Zhou Fan, Zhichao Wang
We study the eigenvalue distributions of the Conjugate Kernel and Neural Tangent Kernel associated to multi-layer feedforward neural networks. In an asymptotic regime where network…
Principal components in linear mixed models with general bulk
Zhou Fan, Yi Sun, Zhichao Wang
We study the principal components of covariance estimators in multivariate mixed-effects linear models. We show that, in high dimensions, the principal eigenvalues and eigenvectors…
Higher variations for free Lévy processes
Michael Anshelevich, Zhichao Wang
For a general free Lévy process, we prove the existence of its higher variation processes as limits in distribution, and identify the limits in terms of the Lévy-Itô representation…
Central Limit Theorems for a Stationary Semicircular Sequence in Free Probability
Zhichao Wang
In this paper, we focus on studying central limit theorems for functionals of some specific stationary random processes. In classical probability theory, it is well-known that for…