3 papers
cs.LG2026
The Geometry of Phase Transitions in Generative Dynamics via Projection Caustics
Ryosuke Sakamoto, Kotaro Sakamoto
Continuous-state generative samplers, including diffusion and flow-matching models, evolve through continuous reverse-time dynamics, yet their samples often undergo abrupt qualitat…
math.CV2026
Strong Regularity and Microsupport Estimates for Multi-Microlocalizations of Subanalytic Sheaves
Ryosuke Sakamoto
We introduce the notion of strong regularity for subanalytic sheaves and establish estimates for the supports and microsupports of their multi-microlocalizations. As applications,…
math.AP2024
The stalk formula for multi-microlocal Hom functors and multi-microlocal Sato's triangle
Ryosuke Sakamoto
The concept of ``multi-microlocalization'' was introduced to extend the usual microlocal sheaf theory to a more general scope. This paper aims to further extend this theory by expl…