2 papers
math.AP2026
Phase transitions for the noisy transformer model in arbitrary dimension
Kyunghoo Mun, Matthew Rosenzweig
We study the McKean--Vlasov free energy on the unit sphere associated with the unnormalized self-attention (USA) model for noisy transformer dynamics. We prove a sharp global-minim…
math.AP2026
Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models
Kyunghoo Mun, Matthew Rosenzweig
We study phase transitions for repulsive-attractive mean-field free energies on the circle. For a -periodic interaction whose Fourier coefficients satisfy a certain…