arXiv AI By Dennis Wu, Yi-Chun Hung, Braden Yuille, James E. Fitzgerald, Han Liu

Hyperbolic Neural Population Geometry Benefits Computation

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arXiv:2606. 10238v1 Announce Type: cross Abstract: Neural population geometry shapes downstream computation.

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arXiv Machine Learning
Sep 14

Hierarchical Prototype Emergence in Modern Hopfield Models

The paper studies how hierarchical correlations in data can be learned by a dense Hopfield network with polynomial activation. It analytically derives conditions for each level of a hierarchical memory model to be locally stable, meaning they correspond to local energy minima. Using prototype reconstruction as a minimal generalization test, the authors show that only a quasi‑polynomial amount of information is needed to generalize beyond specific memories or groups, and they observe a similar phase diagram for Fashion‑MNIST data.

By Aditya Cowsik, Adithya Sriram