The paper links phase-transition behavior in continuous generative samplers to projection caustics in the data geometry and introduces the Critical Boundary Detector as a diagnostic tool.
Asymptotic analysis of oscillatory integrals via the Newton polyhedra of the phase and the amplitude.Journal of the Mathematical Society of Japan, 65 (2):521 – 562, 2013
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The Geometry of Phase Transitions in Generative Dynamics via Projection Caustics
The paper links phase-transition behavior in continuous generative samplers to projection caustics in the data geometry and introduces the Critical Boundary Detector as a diagnostic tool.