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math.ST2024★ 1 cited
New directions in algebraic statistics: Three challenges from 2023
Yulia Alexandr, Miles Bakenhus, Mark Curiel +11
In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geom…
math.AG2024★ 3 cited
Geometry of Polynomial Neural Networks
Kaie Kubjas, Jiayi Li, Maximilian Wiesmann
We study the expressivity and learning process for polynomial neural networks (PNNs) with monomial activation functions. The weights of the network parametrize the neuromanifold. I…