Publications

Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants.
Mars L. Gao, J. Nathan Kutz.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery.
Mars L. Gao, Urban Fasel, Steven L. Brunton, J. Nathan Kutz.
In submission.

Bayesian data-driven discovery of partial differential equations with variable coefficients.
Aoxue Chen, Yifan Du, Mars L. Gao, Guang Lin.
In submission.

On Optimal Early Stopping: Over-informative versus Under-informative Parametrization.
Ruoqi Shen, Mars L. Gao, Yi-An Ma.
arxiv.

DeepGLEAM: A hybrid mechanistic and deep learning model for COVID-19 forecasting.
Dongxia Wu, Mars L. Gao, Xinyue Xiong, Matteo Chinazzi, Alessandro Vespignani, Yi-An Ma, Rose Yu.
In submission.

Deformation Robust Roto-Scale-Translation Equivariant CNNs.
Mars L. Gao, Wei Zhu, Guang Lin.
Transactions on Machine Learning Research.

RotEqNet: Rotation-Equivariant Network for Fluid Systems with Symmetric High-Order Tensors.
Mars L. Gao, Yifan Du, Hongshan Li, Guang Lin.
Journal of Computational Physics.

Quantifying Uncertainty in Deep Spatiotemporal Forecasting.
Dongxia Wu, Mars L. Gao, Xinyue Xiong, Matteo Chinazzi, Alessandro Vespignani, Yi-An Ma, Rose Yu.
ACM SIGKDD Conference on Knowledge Discovery and Data Mining.

Non-convex Learning via Replica Exchange Stochastic Gradient MCMC.
Wei Deng, Qi Feng (*), Mars L. Gao(*), Faming Liang, Guang Lin.
International Conference of Machine Learning.

Evaluation of probabilistic forecasts of COVID-19 mortality in the US.
Joint collaboration with the COVID 19 forecast hub led by Dr. Nicholas G. Reich.
Proceedings of the National Academy of Sciences.

H-DrunkWalk: Collaborative and Adaptive Navigation for Heterogeneous MAV swarm.
Xinlei Chen, Carlos Ruiz, Sihan Zeng, Mars L. Gao, Aveek Purohit, Stefano Carpin, Pei Zhang.
Transactions on Sensor Networks.

Rotation-equivariant convolutional neural network ensembles in image processing.
Mars L. Gao, Hongshan Li, Zheying Lu, Guang Lin.
Ubicomp Combining Physical and Data-Driven Knowledge in Ubiquitous Computing Workshop.