Simplex-to-Euclidean Bijections for Categorical Flow Matching

arXiv — cs.LGMonday, November 3, 2025 at 5:00:00 AM

Simplex-to-Euclidean Bijections for Categorical Flow Matching

A new method has been introduced for learning and sampling from probability distributions on the simplex, which is significant for modeling categorical data. By mapping the simplex to Euclidean space using smooth bijections and Aitchison geometry, this approach allows for better density modeling. This innovation not only enhances the understanding of categorical data but also facilitates the conversion of discrete observations into continuous ones, making it a valuable tool for researchers and practitioners in the field.
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