Search Results for author: Yu-Ying Liu

Found 4 papers, 2 papers with code

Hierarchical Deep Learning of Multiscale Differential Equation Time-Steppers

1 code implementation22 Aug 2020 Yu-Ying Liu, J. Nathan Kutz, Steven L. Brunton

Our multiscale hierarchical time-stepping scheme provides important advantages over current time-stepping algorithms, including (i) circumventing numerical stiffness due to disparate time-scales, (ii) improved accuracy in comparison with leading neural-network architectures, (iii) efficiency in long-time simulation/forecasting due to explicit training of slow time-scale dynamics, and (iv) a flexible framework that is parallelizable and may be integrated with standard numerical time-stepping algorithms.

Numerical Integration

Multiresolution Convolutional Autoencoders

1 code implementation10 Apr 2020 Yu-Ying Liu, Colin Ponce, Steven L. Brunton, J. Nathan Kutz

The performance gains of this adaptive multiscale architecture are illustrated through a sequence of numerical experiments on synthetic examples and real-world spatial-temporal data.

Transfer Learning

Efficient Learning of Continuous-Time Hidden Markov Models for Disease Progression

no code implementations NeurIPS 2015 Yu-Ying Liu, Shuang Li, Fuxin Li, Le Song, James M. Rehg

The Continuous-Time Hidden Markov Model (CT-HMM) is an attractive approach to modeling disease progression due to its ability to describe noisy observations arriving irregularly in time.

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