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Publications
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Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks.
Featured
Mars L. Gao, Jan P. Williams, J. Nathan Kutz.
arXiv
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Bayesian autoencoders for data-driven discovery of coordinates, governing equations and fundamental constants.
Featured
Mars L. Gao, J. Nathan Kutz.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
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Convergence of uncertainty estimates in Ensemble and Bayesian sparse model discovery.
Mars L. Gao, Urban Fasel, Steven L. Brunton, J. Nathan Kutz.
Major revision.
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Bayesian data-driven discovery of partial differential equations with variable coefficients.
Aoxue Chen, Yifan Du, Mars L. Gao, Guang Lin.
In submission.
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On Optimal Early Stopping: Over-informative versus Under-informative Parametrization.
Ruoqi Shen, Mars L. Gao, Yi-An Ma.
arxiv.
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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.
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Deformation Robust Roto-Scale-Translation Equivariant CNNs.
Mars L. Gao, Wei Zhu, Guang Lin.
Transactions on Machine Learning Research.
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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.
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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.
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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.
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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.
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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.
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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.
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