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math.OC2026
CyclOT: Learning Quadratic Optimal Transport Maps via Synchronized Forward-Backward Interpolants
Shizhou Xu, Jiachen Liu, Shih-Hsin Wang +4
We study the recovery of forward and reverse quadratic optimal-transport maps from unpaired samples in high dimensions. We introduce a bidirectional neural framework in which the l…
math.OC2024★ 1 cited
Improving Autoencoder Image Interpolation via Dynamic Optimal Transport
Xue Feng, Thomas Strohmer
Autoencoders are important generative models that, among others, have the ability to interpolate image sequences. However, interpolated images are usually not semantically meaningf…
math.OC2024★ 2 cited
Auto-Calibration and Biconvex Compressive Sensing with Applications to Parallel MRI
Yuan Ni, Thomas Strohmer
We study an auto-calibration problem in which a transform-sparse signal is acquired via compressive sensing by multiple sensors in parallel, but with unknown calibration parameters…