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stat.ME2025
Data denoising with self consistency, variance maximization, and the Kantorovich dominance
Joshua Zoen-Git Hiew, Tongseok Lim, Brendan Pass +1
We introduce a new framework for data denoising, partially inspired by martingale optimal transport. For a given noisy distribution (the data), our approach involves finding the cl…
stat.ME2025
Monotone Curve Estimation via Convex Duality
Tongseok Lim, Kyeongsik Nam, Jinwon Sohn
A principal curve serves as a powerful tool for uncovering underlying structures of data through 1-dimensional smooth and continuous representations. On the basis of optimal transp…