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math.AG2026
About finite differential tropical basis for linear ODE's
Stefano Mereta, Alejandro Vargas
We formulate several open questions regarding the tropicalization of linear ODEs, aiming primarily to develop methods for calculating the radius of convergence of their classical s…
math.AG2026
On the identifiability and semi-algebraicity of ReLU neuromanifolds
Axel Flinth, Stefano Mereta, Michele Pernice
We study several aspects of the semi-algebraicity of the neuromanifold of a feedforward ReLU neural network. We prove that in…
math.CO2026
Three lectures on tropical algebra
Jeffrey Giansiracusa, Kevin Kuehn, Stefano Mereta +1
This document is a slightly expanded version of a series of talks given by J. Giansiracusa at the workshop `Geometry over semirings' at Universitat Autònoma de Barcelona in July 20…