Research
My research interests lie in machine learning for dynamical systems and its applications in scientific computing.
In particular, I work on learning structural hidden representations of the high-dimensional data.
My work has been applied to addressing inverse problems with uncertainty quantification and designing practical algorithms to achieve data efficiency in decision-making problems (i.e., bandits).
Currently, I am interested in predicting high-dimensional chaotic systems with deep learning.
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Training neural operators to preserve invariant measures of chaotic attractors
Ruoxi Jiang*,
Peter Y. Lu*,
Elena Orlova,
Rebecca Willett
NeurIPS, 2023
poster
We introduce two novel approaches: Optimal-transport(OT) based method with prior knowledge of the phsycial property; and Contrastive learning (CL) based method in absence of prior knowledge, to match long-term statistics of chaotic dynamical systems with noisy observations.
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Training neural operators to preserve invariant measures of chaotic attractors
Elena Orlova,
Aleksei Ustimenko,
Ruoxi Jiang,
Peter Y. Lu,
Rebecca Willett
In review
We develop a novel deep-learning-based approach to solve time-evolving Schrödinger equation, with inspiration from stochastic mechanics and diffusion models.
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Embed and Emulate: Learning to estimate parameters of dynamical systems with uncertainty quantification
Ruoxi Jiang,
Rebecca Willett
NeurIPS, 2022
poster /
arXiv
A novel contrastive framework for learning feature embeddings of observed dynamics jointly with an emulator that can replace high-cost simulators for parameter estimation.
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Pure Exploration in Kernel and Neural Bandits
Yinglun Zhu*,
Dongruo Zhou*,
Ruoxi Jiang*,
Quanquan Gu,
Rebecca Willett,
Robert Nowak
NeurIPS, 2021
slides /
arXiv
To overcome the curse of dimensionality, we propose to adaptively embed the feature representation of each arm into a lower-dimensional space and carefully deal with the induced model misspecifications.
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