Publications (4)
Fraunhofer diffraction at the two-dimensional quadratically distorted (QD) Grating
Yuewei Liu, Yan Feng
A two-dimensional (2D) mathematical model of quadratically distorted (QD) grating is established with the principles of Fraunhofer diffraction and Fourier optics. Discrete sampling…
Binary X-rays of doubly stochastic matrices
Bangzheng Li, Yuewei Liu, Yuan Yao
The X-ray of a permutation is a sequence of sums along each diagonal of the associated permutation matrix. They satisfy certain necessary constraints on distribution of the values,…
Conformal Segmentation in Industrial Surface Defect Detection with Statistical Guarantees
Cheng Shen, Yuewei Liu
In industrial settings, surface defects on steel can significantly compromise its service life and elevate potential safety risks. Traditional defect detection methods predominantl…
Guaranteed Conservative Fixed Width Confidence Intervals Via Monte Carlo Sampling
Fred J. Hickernell, Lan Jiang, Yuewei Liu +1
Monte Carlo methods are used to approximate the means, , of random variables , whose distributions are not known explicitly. The key idea is that the average of a random sam…