Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley +1 more source
Informationally complete distributed metrology without a shared reference frame. [PDF]
Xu HQ +8 more
europepmc +1 more source
Exact Solutions for the Moving Firefighter Problem on Trees
ABSTRACT The moving firefighter problem (MFP) is a more realistic variant of the classic firefighter problem (FP), where firefighters require time for both travel and defense. Unfortunately, the only known exact solution for the MFP does not scale. In this paper, we establish that the MFP is NP‐complete on trees of maximum degree three and present four
Mauro A. Montenegro‐Meza +4 more
wiley +1 more source
The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes. [PDF]
Viaña J.
europepmc +1 more source
Physics‐Aware Recurrent Convolutional Neural Networks (PARC) can reliably learn the thermomechanics of energetic materials as a function of morphology. This work introduces LatentPARC, which accelerates PARC by modeling the dynamics in a low‐dimensional latent space.
Zoë J. Gray +5 more
wiley +1 more source
Chaos and bifurcations of a discretized Holling-II prey-predator model including prey refuge and Allee effect. [PDF]
Khan MM, Uddin MJ.
europepmc +1 more source
Turbulent snow transport and accumulation: New reduced‐order models and diagnostics
Our new reduced‐order models of snow particle transport provide high‐fidelity calculations of snow accumulation in turbulent flows at significantly reduced computational costs. Additional accumulation diagnostics from the reduced‐order model predict complex patterns of particle concentration in turbulent boundary layers via coherent flow structures in ...
Nikolas O. Aksamit +3 more
wiley +1 more source
Machine learning and bifurcation analysis in a discrete predator-prey model with neem-induced mortality. [PDF]
Mehmood T +3 more
europepmc +1 more source
On Hodge polynomials for nonalgebraic complex manifolds. [PDF]
Katzarkov L +3 more
europepmc +1 more source
Width Stability of Rotationally Symmetric Metrics. [PDF]
Stufflebeam H, Sweeney P.
europepmc +1 more source

