196 citations · 1.4k across the 75 of their papers we have counts for
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math.NA2014★ 13 cited
A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators
Yingzhou Li, Haizhao Yang, Lexing Ying
This paper presents an efficient multiscale butterfly algorithm for computing Fourier integral operators (FIOs) of the form $(\mathcal{L} f)(x) = \int_{R^d}a(x,ξ) e^{2πıΦ(x,ξ)}\hat…
math.ST2014★ 2 cited
Statistical Analysis of Synchrosqueezed Transforms
Haizhao Yang
Synchrosqueezed transforms are non-linear processes for a sharpened time-frequency representation of wave-like components. They are efficient tools for identifying and analyzing wa…
math.NA2014★ 2 cited
Crystal image analysis using synchrosqueezed transforms
Haizhao Yang, Jianfeng Lu, Lexing Ying
We propose efficient algorithms based on a band-limited version of 2D synchrosqueezed transforms to extract mesoscopic and microscopic information from atomic crystal images. The m…