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Paper · arXiv

Learning the Structure of Triangular Transport Maps

Triangular transport maps provide a flexible approach to sampling-based probabilistic modeling, including density estimation, generative modeling, and Bayesian inference. They transform an unknown target distribution into a simpler reference through a monotone triangular map. The map structure is defined by a variable ordering and sparsity pattern, which together encode a directed acyclic graph. Map quality can depend strongly on this structure, yet finding a good structure is computationally expensive because each candidate generally requires fitting a different map. A central challenge is therefore to learn density and structure jointly, while keeping computation manageable as dimension...

AuthorsMorten Blørstad, Pekka Parviainen, Berent Ånund Strømnes Lunde
Primary categorycs.LG
Published29 September 2026
Last updated at source29 September 2026
cs.LG
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