67 citations · 177 across the 17 of their papers we have counts for
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math.NA2020★ 1 cited
A range characterization of the single-quadrant ADRT
Weilin Li, Kui Ren, Donsub Rim
This work characterizes the range of the single-quadrant approximate discrete Radon transform (ADRT) of square images. The characterization follows from a set of linear constraints…
math.NA2020★ 11 cited
Depth separation for reduced deep networks in nonlinear model reduction: Distilling shock waves in nonlinear hyperbolic problems
Donsub Rim, Luca Venturi, Joan Bruna +1
Classical reduced models are low-rank approximations using a fixed basis designed to achieve dimensionality reduction of large-scale systems. In this work, we introduce reduced dee…