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stat.ML2026
Gauss--Hermite Quadrature for Gaussian-Mixture Entropy with an Action-Space Hermite Surrogate
Jae Wan Shim
Gaussian distributions are used to model uncertainty in signals and states, and Gaussian mixtures are often used when the underlying distribution is multimodal. Unlike a single Gau…
math.PR2026
Parameter-Space Heat Flow, Gaussian Density Ratios, and Sharp Hermite Truncation Rates
Jae Wan Shim
We reinterpret the classical Hermite generating function as a Gaussian density ratio: relative to the unit Gaussian reference, it is the density ratio of a Gaussian with shifted me…
math-ph2026
Conductive Heat Flux Driven by a Pressure Gradient in Non-Maxwellian Reference States
Jae Wan Shim
Standard Navier--Stokes--Fourier theory and Maxwellian-based Grad 13-moment closures yield no independent pressure-gradient driving of the conductive heat flux in an isothermal, si…