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08/09/2023
Prompting In-Context Operator Learning with Sensor Data, Equations, and Natural Language
In the growing domain of scientific machine learning, in-context operato...
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04/17/2023
In-Context Operator Learning for Differential Equation Problems
This paper introduces a new neural-network-based approach, namely IN-con...
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03/22/2023
Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems
Hamilton-Jacobi partial differential equations (HJ PDEs) have deep conne...
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01/14/2022
SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems
Solving high-dimensional optimal control problems in real-time is an imp...
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05/28/2021
On Hamilton-Jacobi PDEs and image denoising models with certain non-additive noise
We consider image denoising problems formulated as variational problems....
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05/07/2021
Neural network architectures using min plus algebra for solving certain high dimensional optimal control problems and Hamilton-Jacobi PDEs
Solving high dimensional optimal control problems and corresponding Hami...
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04/22/2021
Connecting Hamilton–Jacobi partial differential equations with maximum a posteriori and posterior mean estimators for some non-convex priors
Many imaging problems can be formulated as inverse problems expressed as...
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01/17/2021
Measure-conditional Discriminator with Stationary Optimum for GANs and Statistical Distance Surrogates
We propose a simple but effective modification of the discriminators, na...
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02/22/2020