Graduate Research and Research Assistant

Columbia University Feb 2020 — June 2021

Principal Investigator: Henry Lam

Comprehensively studied a Cheap Bootstrap Method for Fast Inference and a biased stochastic estimators. Designed and Extensively studied the numerical performance of estimators based on the simulations.

Undergraduate Research

University of California, Davis June 2017 — Oct 2018

Principal Investigator: Qingtian Zhang

L. Huang, Global Solution to a Non-linear Wave Equation of Liquid Crystal in the Constant Electric Field, SIAM Undergraduate Research Online Vol 12, 125-153. (DOI: 10.1137/18S017557).

• Used the variational principle to derive the partial differential equation (PDE).

• Introduced the notation of the energy conserved weak solution for the PDE and proved the existence of the energy conserved weak solution by the method of characteristics.

Bayesian Neural Network Project

Implement Bayesian Neural Network on MNIST datasets.

Neural Style Transfer Network Project

Three major improvements based on the current image style transfer paper.

Code

Global Solution to a Non-linear Wave Equation of Liquid Crystal in the Constant Electric Field

We construct a global conservative weak solution to the Cauchy problem for the non-linear variational wave equation. This wave equation …

Linjun Huang

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