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cs.LG2026
Riemannian Neural Optimal Transport
Alessandro Micheli, Yueqi Cao, Anthea Monod +1
Computational optimal transport (OT) offers a principled framework for generative modeling. Neural OT methods, which use neural networks to learn an OT map (or potential) from data…
cs.LG2025
Metric Graph Kernels via the Tropical Torelli Map
Yueqi Cao, Anthea Monod
We introduce the first graph kernels for metric graphs via tropical algebraic geometry. In contrast to conventional graph kernels based on graph combinatorics such as nodes, edges,…
cs.LG2024
A Computational Tropical Geometry Framework for Neural Networks
Paul Lezeau, Thomas Walker, Yueqi Cao +2
We propose a computational tropical geometry framework for the symbolic analysis of neural networks with tropical activations. The number of linear regions of a neural network has…