3 papers
cond-mat.stat-mech2026
The unique, universal entropy for complex systems
Kenric P. Nelson
A unique, universal definition for the entropy of nonlinear, complex systems is proposed. The Shannon entropy is shown to measure energetic, configurational, and nonlinear degrees…
cs.LG2025
Variational Inference Optimized Using the Curved Geometry of Coupled Free Energy
Kenric Nelson, Igor Oliveira, Amenah Al-Najafi +2
We introduce an optimization framework for variational inference based on the coupled free energy, extending variational inference techniques to account for the curved geometry of…
stat.ME2024
Independent Approximates provide a maximum likelihood estimate for heavy-tailed distributions
Amenah AL-Najafi, Ugur Tirnakli, Kenric P. Nelson
Heavy-tailed distributions are infamously difficult to estimate because their moments tend to infinity as the shape of the tail decay increases. Nevertheless, this study shows the…