12 citations · 12 across the 2 of their papers we have counts for
4 papers
Polynomial methods in statistical inference: theory and practice
Yihong Wu, Pengkun Yang
This survey provides an exposition of a suite of techniques based on the theory of polynomials, collectively referred to as polynomial methods, which have recently been applied to…
Modeling from Features: a Mean-field Framework for Over-parameterized Deep Neural Networks
Cong Fang, Jason D. Lee, Pengkun Yang +1
This paper proposes a new mean-field framework for over-parameterized deep neural networks (DNNs), which can be used to analyze neural network training. In this framework, a DNN is…
On Learning Over-parameterized Neural Networks: A Functional Approximation Perspective
Lili Su, Pengkun Yang
We consider training over-parameterized two-layer neural networks with Rectified Linear Unit (ReLU) using gradient descent (GD) method. Inspired by a recent line of work, we study…
Optimal estimation of Gaussian mixtures via denoised method of moments
Yihong Wu, Pengkun Yang
The Method of Moments [Pea94] is one of the most widely used methods in statistics for parameter estimation, by means of solving the system of equations that match the population a…