The Laplace-Fisher Gate Identity supplies the variance-optimal matrix gate for blended score estimation under Ornstein-Uhlenbeck diffusion and yields improved normalized posterior-density surrogates from MCMC pilot samples in Bayesian inverse problems.
Unke, and Arnaud Doucet
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Laplace--Fisher Gate Identities for Optimal Matrix-Gated Blended Score Estimation
The Laplace-Fisher Gate Identity supplies the variance-optimal matrix gate for blended score estimation under Ornstein-Uhlenbeck diffusion and yields improved normalized posterior-density surrogates from MCMC pilot samples in Bayesian inverse problems.