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cs.LG2024
Semiring Activation in Neural Networks
Bart M. N. Smets, Peter D. Donker, Jim W. Portegies
We introduce a class of trainable nonlinear operators based on semirings that are suitable for use in neural networks. These operators generalize the traditional alternation of lin…
cs.LG2024
Mathematics of Neural Networks (Lecture Notes Graduate Course)
Bart M. N. Smets
These are the lecture notes that accompanied the course of the same name that I taught at the Eindhoven University of Technology from 2021 to 2023. The course is intended as an int…
cs.LG2024
PDE-CNNs: Axiomatic Derivations and Applications
Gijs Bellaard, Sei Sakata, Bart M. N. Smets +1
PDE-based Group Convolutional Neural Networks (PDE-G-CNNs) use solvers of evolution PDEs as substitutes for the conventional components in G-CNNs. PDE-G-CNNs can offer several bene…