69 citations · 455 across the 44 of their papers we have counts for
4 papers · 1 filter
Robustness Implies Generalization via Data-Dependent Generalization Bounds
Kenji Kawaguchi, Zhun Deng, Kyle Luh +1
This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a…
Edge Universality of Sparse Random Matrices
Jiaoyang Huang, Horng-Tzer Yau
We consider the statistics of the extreme eigenvalues of sparse random matrices, a class of random matrices that includes the normalized adjacency matrices of the Erd{\H o}s-R{é}ny…
Dynamical Loop Equation
Vadim Gorin, Jiaoyang Huang
We introduce dynamical versions of loop (or Dyson-Schwinger) equations for large families of two--dimensional interacting particle systems, including Dyson Brownian motion, Noninte…
Efficient Derivative-free Bayesian Inference for Large-Scale Inverse Problems
Daniel Zhengyu Huang, Jiaoyang Huang, Sebastian Reich +1
We consider Bayesian inference for large scale inverse problems, where computational challenges arise from the need for repeated evaluations of an expensive forward model. This ren…