5 papers
Learning Interaction Kernels from Collective Steady States
Baoli Hao, Mauro Maggioni, Ming Zhong
We propose a learning procedure for system identification in interacting particle systems from single-snapshot observations of collective behaviors, unlike existing approaches that…
Event-Structured Physics-Informed Neural Networks for Differentiable Critical Clearing Boundaries
Baoli Hao, Chenxi Hu, Ming Zhong +1
Transient-stability assessment determines whether a power system can recover after a disturbance and is therefore essential to preventing generator trips and cascading outages. A k…
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…
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…