21 citations · 27 across the 6 of their papers we have counts for
6 papers
Opinion dynamics modelling: distinct attraction and repulsion topologies highlight quantitative effects of trolling
Jake Boyce, Matteo Farina, Jody McKerral +2
We introduce a model of opinion dynamics based on networked non-linear differential equations. The model combines a linear attraction with a repulsive hyperbolic tangent interactio…
Information Geometry of Evolution of Neural Network Parameters While Training
Abhiram Anand Thiruthummal, Eun-jin Kim, Sergiy Shelyag
Artificial neural networks (ANNs) are powerful tools capable of approximating any arbitrary mathematical function, but their interpretability remains limited, rendering them as bla…
Extremization to Fine Tune Physics Informed Neural Networks for Solving Boundary Value Problems
Abhiram Anand Thiruthummal, Sergiy Shelyag, Eun-jin Kim
We propose a novel method for fast and accurate training of physics-informed neural networks (PINNs) to find solutions to boundary value problems (BVPs) and initial boundary value…
Modelling host population support for combat adversaries
Mathew Zuparic, Sergiy Shelyag, Maia Angelova +2
We consider a model of adversarial dynamics consisting of three populations, labelled Blue, Green and Red, which evolve under a system of first order nonlinear differential equatio…
Effect of stress on cardiorespiratory synchronization of Ironmen athletes
Maia Angelova, Philip M. Holloway, Sergiy Shelyag +2
The aim of this paper is to investigate the cardiorespiratory synchronization in athletes subjected to extreme physical stress combined with a cognitive stress tasks. ECG and respi…
Global Stability and Periodicity in a Glucose-Insulin Regulation Model with a Single Delay
M. Angelova, G. Beliakov, A. Ivanov +1
A two-dimensional system of differential equations with delay modelling the glucose-insulin interaction processes in the human body is considered. Sufficient conditions are derived…