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math.CO2025
Combinatorics of slices of cubes
Marie-Charlotte Brandenburg, Chiara Meroni
We present a complete computational classification of the combinatorial types of hyperplane sections, or slices, of the regular cube up to dimension six. For each dimension, we det…
cs.LG2025
How to Learn a Star: Binary Classification with Starshaped Polyhedral Sets
Marie-Charlotte Brandenburg, Katharina Jochemko
We consider binary classification restricted to a class of continuous piecewise linear functions whose decision boundaries are (possibly nonconvex) starshaped polyhedral sets, supp…