2 papers
math.DS2026
On Unstable Fixed Points in Modern Continuous Hopfield Networks
Hans-Peter Beise
The recently introduced continuous Hopfield network (see Ramsauer et al.) exhibits large memorization capabilities, which manifest as attractive fixed points of its update rule --…
cs.LG2024
Hyperplane Arrangements and Fixed Points in Iterated PWL Neural Networks
Hans-Peter Beise
We leverage the framework of hyperplane arrangements to analyze potential regions of (stable) fixed points. We provide an upper bound on the number of fixed points for multi-layer…