arXiv Machine Learning By Byung Gyu Chae

Infrared Organization and Critical Cognitive Field Formation in Transformer Dynamics

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arXiv:2607. 10923v1 Announce Type: new Abstract: Large language models exhibit remarkable emergent behaviors, yet the physical mechanism governing their collective dynamics remains poorly understood.

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arXiv Machine Learning
Sep 11

Phases in a class of associative memories via hidden neurons

The paper investigates associative memory in a bipartite Hopfield–Krotov architecture, termed class H, where hidden neurons serve as the retrieval order parameter. Using the replica method, it derives replica‑symmetric phase diagrams and closed‑form capacities for polynomial load, showing that crosstalk statistics are similar for Ising and spherical visible neurons. With a softmax hidden layer, the load becomes exponential, mapping the thermodynamics onto a random‑energy‑model that exhibits paramagnetic, condensed, and frozen phases, and revealing that heating destabilizes retrieval through quantized attention reassignments while Gaussian patterns remain metastable at all loads.

By Toshihiro Ota, Masato Taki