From the 1 of 5 linked papers with an AI index.
5 papers
Event-Structured Physics-Informed Neural Networks for Differentiable Critical Clearing Boundaries
Baoli Hao, Chenxi Hu, Ming Zhong +1
The paper introduces an event-structured physics‑informed neural network (ES‑PINN) that models pre‑fault, fault‑on, and post‑clearing dynamics to accurately estimate the critical c…
Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects
Baoli Hao, Fanze Kong, Kei Fong Lam +1
We derive and analyze a binary Poisson-Nernst-Planck system with steric interactions and interspecies drag through the energetic variational approach. The steric effects are incorp…
Crime hotspot dynamics in residential burglary models with police response
Baoli Hao, Kamrun Mily, Annalisa Quaini +1
We develop and analyze mathematical models for residential burglary that incorporates police deployment through a delayed feedback mechanism. Motivated by empirical observations fr…
Stability in Training PINNs for Stiff PDEs: Why Initial Conditions Matter
Baoli Hao, Ulisses Braga-Neto, Chun Liu +2
Training physics-informed neural networks (PINNs) on stiff, time-dependent PDEs remains a fundamental challenge due to optimization instabilities and gradient pathologies. Through…
A finite element framework for simulating residential burglary in realistic urban geometries
Baoli Hao, Kamrun Mily, Annalisa Quaini +1
We consider a partial differential equation (PDE) model to predict residential burglary derived from a probabilistic agent-based model through a mean-field limit operation. The PDE…