no code implementations • 1 Nov 2023 • Jinchao Feng, Charles Kulick, Sui Tang
In this paper, we focus on the data-driven discovery of a general second-order particle-based model that contains many state-of-the-art models for modeling the aggregation and collective behavior of interacting agents of similar size and body type.
no code implementations • 1 Nov 2023 • Jinchao Feng, Ming Zhong
We present a comprehensive examination of learning methodologies employed for the structural identification of dynamical systems.
no code implementations • 4 Aug 2022 • Jinchao Feng, Mauro Maggioni, Patrick Martin, Ming Zhong
Dynamical systems across many disciplines are modeled as interacting particles or agents, with interaction rules that depend on a very small number of variables (e. g. pairwise distances, pairwise differences of phases, etc...), functions of the state of pairs of agents.
no code implementations • 17 Jul 2021 • Panagiota Birmpa, Jinchao Feng, Markos A. Katsoulakis, Luc Rey-Bellet
Probabilistic graphical models are a fundamental tool in probabilistic modeling, machine learning and artificial intelligence.
no code implementations • 4 Jun 2021 • Jinchao Feng, Charles Kulick, Yunxiang Ren, Sui Tang
As a byproduct, we show we can obtain a parametric learning rate in $M$ for the posterior marginal variance using $L^{\infty}$ norm, and the rate could also involve $N$ and $L$ (the number of observation time instances for each trajectory), depending on the condition number of the inverse problem.