Happy to share this- we analyze the hierarchical organization of attractor landscapes in dense associative memories and how it can facilitate transitions between attractor states. We use this to explain the control of transitions between stem and differentiated identities.
arxiv.org/abs/2412.11336
Hierarchical Control of State Transitions in Dense Associative Memories
We analyze a generalization of Modern Hopfield networks that emerges naturally in the gene regulatory networks that control cellular identity. Here gene expression patterns correspond to stored memori...
