PAL uses the classical Preisach hysteresis operator with learned thresholds and an extrema stack to model sequences, proving O(1)-depth Turing completeness via two-stack PDA simulation and incomparability with standard transformers on rate-independent vs. random-access functions.
Random-Field Ising Models of Hysteresis
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
This is a review article of our work on hysteresis, avalanches, and criticality. We provide an extensive introduction to scaling and renormalization--group ideas, and discuss analytical and numerical results for size distributions, correlation functions, magnetization, avalanche durations and average avalanche shapes, and power spectra. We focus here on applications to magnetic Barkhausen noise.
years
2026 2representative citing papers
citing papers explorer
-
Preisach Attention: A Hysteretic Model of Sequential Memory
PAL uses the classical Preisach hysteresis operator with learned thresholds and an extrema stack to model sequences, proving O(1)-depth Turing completeness via two-stack PDA simulation and incomparability with standard transformers on rate-independent vs. random-access functions.
- A Critical Assessment of the Brain Criticality Hypothesis