Machine learning predictions from unpredictable chaos. [PDF]
Jiang J +9 more
europepmc +1 more source
Self‐Affine Scaling of Earth's Islands
Abstract Earth's relief is approximately self‐affine, meaning a zoom‐in on a small region looks statistically similar to a large region upon rescaling. Fractional Brownian surfaces give an idealized self‐affine model of Earth's relief with one parameter, the Hurst exponent H $H$, characterizing the roughness of the surface.
Matthew Oline +4 more
wiley +1 more source
Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]
Kubin A, Pagliari V, Tribuzio A.
europepmc +1 more source
Aromaticity of a ring by itself does not explain the binding energies of alkali and alkaline earth metal cations with nanographenes, but when combined with the Fukui function, it does. ABSTRACT Nanographenes, a subclass of polycyclic aromatic hydrocarbons (PAHs), have attracted significant interest due to their unique electronic properties and broad ...
Omkar Charapale +3 more
wiley +1 more source
Beyond Euclid: an illustrated guide to modern machine learning with geometric, topological, and algebraic structures. [PDF]
Papillon M +10 more
europepmc +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
From Linear Geometry to Nonlinear and Information-Geometric Settings in Test Theory: Bregman Projections as a Unifying Framework. [PDF]
Zumbo BD.
europepmc +1 more source
ABSTRACT In this article, we propose a novel numerical framework for the non‐isothermal Cahn–Hilliard–Navier–Stokes two‐phase flow system, which couples the incompressible Navier–Stokes equations, the Cahn–Hilliard phase‐field equation, and the heat transport equation to capture temperature‐dependent two‐phase flow dynamics.
Guang‐An Zou +4 more
wiley +1 more source
Lie symmetry approach to the dynamical behavior and conservation laws of actin filament electrical models. [PDF]
Beenish, Samreen M, Alshammari FS.
europepmc +1 more source
A Review of Topological Data Analysis and Topological Deep Learning in Molecular Sciences. [PDF]
Wee J, Jiang J.
europepmc +1 more source

