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cs.CV2024
Order Theory in the Context of Machine Learning
Eric Dolores-Cuenca, Aldo Guzman-Saenz, Sangil Kim +2
The paper ``Tropical Geometry of Deep Neural Networks'' by L. Zhang et al. introduces an equivalence between integer-valued neural networks (IVNN) with and tropic…
math.CO2024
The gold partition conjecture and the Lexicographic sum of posets
Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim
If a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any in the lexicographic sum of with on the point , satisfies…
cs.LG2024
TopoX: A Suite of Python Packages for Machine Learning on Topological Domains
Mustafa Hajij, Mathilde Papillon, Florian Frantzen +40
We introduce TopoX, a Python software suite that provides reliable and user-friendly building blocks for computing and machine learning on topological domains that extend graphs: h…