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SUMMARY:Topical seminar: "Signal-to-Noise as a Transport Problem: Stein Ge
 ometry and Langevin Dynamics"
DTSTART;VALUE=DATE-TIME:20260422T100000Z
DTEND;VALUE=DATE-TIME:20260422T110000Z
DTSTAMP;VALUE=DATE-TIME:20260418T073607Z
UID:indico-event-8543@indico.ific.uv.es
DESCRIPTION:Abstract: We address the signal-to-noise problem in lattice f
 ield theory by recasting it as a problem in variance-optimal transport. Th
 e exponential degradation of the signal-to-noise ratio is identified as a 
 consequence of poor overlap between the base and target distributions in a
  source reweighting scheme. We introduce an infinitesimal transport map an
 d derive a perturbative expansion of the KL divergence that determines the
  optimal velocity field. The first-order term vanishes by Stein's identity
 \, and the problem reduces to a Poisson equation for the generator of over
 damped Langevin dynamics. For interacting theories\, the Feynman–Kac for
 mula provides a formal solution\, establishing a connection to linear resp
 onse theory and the fluctuation-dissipation theorem. We present preliminar
 y numerical results for scalar lattice field theories.\n\nhttps://indico.i
 fic.uv.es/event/8543/
LOCATION:Universe 1001-Primera-1-1-1 - Paterna. Seminario
URL:https://indico.ific.uv.es/event/8543/
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