69 citations · 455 across the 44 of their papers we have counts for
5 papers · 1 filter
Power Iteration for Tensor PCA
Jiaoyang Huang, Daniel Z. Huang, Qing Yang +1
In this paper, we study the power iteration algorithm for the spiked tensor model, as introduced in [44]. We give necessary and sufficient conditions for the convergence of the pow…
Edge Universality for Nonintersecting Brownian Bridges
Jiaoyang Huang
In this paper we study fluctuations of extreme particles of nonintersecting Brownian bridges starting from at time and ending at $b_1\leq b_…
Height Fluctuations of Random Lozenge Tilings Through Nonintersecting Random Walks
Jiaoyang Huang
In this paper we study height fluctuations of random lozenge tilings of polygonal domains on the triangular lattice through nonintersecting Bernoulli random walks. For a large clas…
Towards Understanding the Dynamics of the First-Order Adversaries
Zhun Deng, Hangfeng He, Jiaoyang Huang +1
An acknowledged weakness of neural networks is their vulnerability to adversarial perturbations to the inputs. To improve the robustness of these models, one of the most popular de…
Large Deviation Principles via Spherical Integrals
Serban Belinschi, Alice Guionnet, Jiaoyang Huang
In this article, we develop a framework to study the large deviation principle for matrix models and their quantized versions, by tilting the measures using the limits of spherical…