Search Results for author: Zecheng Zhang

Found 14 papers, 6 papers with code

Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

1 code implementation18 Apr 2024 Jingmin Sun, Yuxuan Liu, Zecheng Zhang, Hayden Schaeffer

More importantly, we provide three extrapolation studies to demonstrate that PROSE-PDE can generalize physical features through the robust training of multiple operators and that the proposed model can extrapolate to predict PDE solutions whose models or data were unseen during the training.

Operator learning

MODNO: Multi Operator Learning With Distributed Neural Operators

no code implementations3 Apr 2024 Zecheng Zhang

Through a systematic study of five numerical examples, we compare the accuracy and cost of training a single neural operator for each operator independently versus training a MOL model using our proposed method.

Operator learning

Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks

no code implementations23 Feb 2024 Christian Moya, Amirhossein Mollaali, Zecheng Zhang, Lu Lu, Guang Lin

In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for Deep Operator Network (DeepONet) regression.

Conformal Prediction Prediction Intervals +2

D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators

no code implementations29 Oct 2023 Zecheng Zhang, Christian Moya, Lu Lu, Guang Lin, Hayden Schaeffer

Neural operators have been applied in various scientific fields, such as solving parametric partial differential equations, dynamical systems with control, and inverse problems.

PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers

1 code implementation28 Sep 2023 Yuxuan Liu, Zecheng Zhang, Hayden Schaeffer

Approximating nonlinear differential equations using a neural network provides a robust and efficient tool for various scientific computing tasks, including real-time predictions, inverse problems, optimal controls, and surrogate modeling.

Solving Inverse Problems with Latent Diffusion Models via Hard Data Consistency

1 code implementation16 Jul 2023 Bowen Song, Soo Min Kwon, Zecheng Zhang, Xinyu Hu, Qing Qu, Liyue Shen

However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their applicability as priors for high-dimensional real-world data such as medical images.

Accelerated replica exchange stochastic gradient Langevin diffusion enhanced Bayesian DeepONet for solving noisy parametric PDEs

no code implementations3 Nov 2021 Guang Lin, Christian Moya, Zecheng Zhang

To enable DeepONets training with noisy data, we propose using the Bayesian framework of replica-exchange Langevin diffusion.

A deep neural network approach on solving the linear transport model under diffusive scaling

no code implementations24 Feb 2021 Liu Liu, Tieyong Zeng, Zecheng Zhang

In our framework, the solution is approximated by a neural network that satisfies both the governing equation and other constraints.

Numerical Analysis Numerical Analysis

Multi-agent Reinforcement Learning Accelerated MCMC on Multiscale Inversion Problem

no code implementations17 Nov 2020 Eric Chung, Yalchin Efendiev, Wing Tat Leung, Sai-Mang Pun, Zecheng Zhang

In this work, we propose a multi-agent actor-critic reinforcement learning (RL) algorithm to accelerate the multi-level Monte Carlo Markov Chain (MCMC) sampling algorithms.

Multi-agent Reinforcement Learning reinforcement-learning +1

Computational multiscale methods for quasi-gas dynamic equations

no code implementations31 Aug 2020 Boris Chetverushkin, Eric Chung, Yalchin Efendiev, Sai-Mang Pun, Zecheng Zhang

This multiscale problem is interesting from a multiscale methodology point of view as the model problem has a hyperbolic multiscale term, and designing multiscale methods for hyperbolic equations is challenging.

Numerical Analysis Numerical Analysis 65M22, 65M60

paper2repo: GitHub Repository Recommendation for Academic Papers

no code implementations13 Apr 2020 Huajie Shao, Dachun Sun, Jiahao Wu, Zecheng Zhang, Aston Zhang, Shuochao Yao, Shengzhong Liu, Tianshi Wang, Chao Zhang, Tarek Abdelzaher

Motivated by this trend, we describe a novel item-item cross-platform recommender system, $\textit{paper2repo}$, that recommends relevant repositories on GitHub that match a given paper in an academic search system such as Microsoft Academic.

Recommendation Systems

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