On Shape Optimization with Large Magnetic Fields in Two Dimensions. [PDF]
Lotoreichik V, Morin L.
europepmc +1 more source
LLM‐based prior elicitation for Bayesian graphical modeling
ABSTRACT In the Bayesian graphical modeling framework, priors on network structure encode theoretical assumptions and uncertainty about the topology of psychological constructs under study. For instance, the Bernoulli prior specifies the probability of each pairwise interaction, the Beta–Bernoulli prior governs expected network density, and the ...
Nikola Sekulovski +2 more
wiley +1 more source
A novel fractional-order coupled model integrating a damped oscillator equation with a non-Fickian heat conduction equation. [PDF]
Li T, Zhao X, Zhang Y, Wang Y, Hu Y.
europepmc +1 more source
Abstract Cognitive diagnostic models (CDMs) have become essential tools for providing fine‐grained information about individuals' mastery of cognitive skills. While prior reviews have emphasized statistical foundations and deep learning‐based developments, this article focuses on recent methodological innovations designed to address persistent ...
Chun Wang, Yale Quan, David Arthur
wiley +1 more source
A fourth-order exponential time differencing scheme with real and distinct poles rational approximation for solving non-linear reaction-diffusion systems. [PDF]
Attipoe WK +2 more
europepmc +1 more source
Hierarchical Differentiable Fluid Simulation
We introduce a two‐step algorithm that significantly reduces memory usage for solving control problems using differentiable fluid simulation techniques: our method first optimizes for bulk forces at reduced resolution, then refines local details over sub‐domains while maintaining differentiability. In trading runtime for memory, it enables optimization
Xiangyu Kong +4 more
wiley +1 more source
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]
Quattrocchi F.
europepmc +1 more source
Real‐Time Conformal Maps and Parameterizations
Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +1 more source
Physics-informed neural network with weighted loss and hard constraints for hyperbolic conservation laws. [PDF]
Ghoreishi MS, Naderan H.
europepmc +1 more source
Fast Injective Mesh Parameterization via Beltrami Coefficient Prolongation
Abstract We present a highly efficient and robust method for free boundary injective parameterization of disk‐like triangle meshes with low isometric distortion. Harmonic function–based approaches, grounded in a strong mathematical framework, are widely employed.
G. Fargion, O. Weber
wiley +1 more source

