activity
20212025
most citedPhysics-guided Deep Markov Models for Learning Nonlinear Dynamical Systems with Uncertainty

63 citations · 157 across the 8 of their papers we have counts for

collaborators
Showing cs.LGShow all

6 papers · 1 filter

cs.LG2025

Causal Convolutional Neural Networks as Finite Impulse Response Filters

Kiran Bacsa, Wei Liu, Xudong Jian +2

This study investigates the behavior of Causal Convolutional Neural Networks (CNNs) with quasi-linear activation functions when applied to time-series data characterized by multimo…

cs.LG2025

Structured Kolmogorov-Arnold Neural ODEs for Interpretable Learning and Symbolic Discovery of Nonlinear Dynamics

Wei Liu, Kiran Bacsa, Loon Ching Tang +1

Understanding and modeling nonlinear dynamical systems is a fundamental challenge across science and engineering. Deep learning has shown remarkable potential for capturing complex…

cs.LG2023★ 4 cited

Discussing the Spectrum of Physics-Enhanced Machine Learning; a Survey on Structural Mechanics Applications

Marcus Haywood-Alexander, Wei Liu, Kiran Bacsa +2

The intersection of physics and machine learning has given rise to the physics-enhanced machine learning (PEML) paradigm, aiming to improve the capabilities and reduce the individu…

cs.LG2022★ 39 cited

Neural Extended Kalman Filters for Learning and Predicting Dynamics of Structural Systems

Wei Liu, Zhilu Lai, Kiran Bacsa +1

Accurate structural response prediction forms a main driver for structural health monitoring and control applications. This often requires the proposed model to adequately capture…

cs.LG2022★ 34 cited

Neural modal ordinary differential equations: Integrating physics-based modeling with neural ordinary differential equations for modeling high-dimensional monitored structures

Zhilu Lai, Wei Liu, Xudong Jian +3

The order/dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes. This is part…

cs.LG2021★ 63 cited

Physics-guided Deep Markov Models for Learning Nonlinear Dynamical Systems with Uncertainty

Wei Liu, Zhilu Lai, Kiran Bacsa +1

In this paper, we propose a probabilistic physics-guided framework, termed Physics-guided Deep Markov Model (PgDMM). The framework targets the inference of the characteristics and…