Sparse Approximation of Triangular Transports, Part I: The Finite-Dimensional Case

Abstract For two probability measures $${\rho }$$ ρ and $${\pi }$$ π with analytic densities on the d-dimensional cube $$[-1,1]^d$$ [ - 1 , 1 ] d , we investigate the approximation of the unique triangular monotone Knothe-Rosenblatt transport $$T:[-1,1]^d\rightarrow [-1,1]^d$$ T : [ - 1 , 1 ] d → [...

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Bibliographic Details
Main Authors: Zech, Jakob (Author), Marzouk, Youssef (Author)
Format: Article
Language:English
Published: Springer US, 2022-03-21T12:42:05Z.
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