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Results for “inverse problem”
Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Beyond forward ICME models: A perspective on materials design as inverse problems.
Abstract not provided.
Constructing Data-consistent Solutions to Stochastic Inverse Problems with Sparse Observable Data.
Abstract not provided.
Estimating Aleatoric and Epistemic Uncertainty in Solutions to Stochastic Inverse Problems Using Machine Learning Surrogate Models.
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Solving Transient MIMO Control Inverse Problems using Randomized Truncated Singular Value Decomposition
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A Scalable Variational Approach for Solving Data-Consistent Stochastic Inverse Problems
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Solving High-Dimensional Inverse Problems with Auxiliary Uncertainty via Operator Learning with Limited Data
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Estimating the Error in Solutions to Stochastic Inverse Problems When Using Machine Learning Surrogates
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Solving inverse problems via neural network flow map approximation
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Advances in Discrete-Direct Sparse-Sampling Approaches for Aleatory and Epistemic Uncertainties in Model Calibration and Inverse Problems
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Solving Functional Inverse Problems using Alpert Multi-Wavelets
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Inverse Problem Formulation for Contact Detection
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Optimal Experiment Design for Large-Scale Inverse Problems with Enhanced Robustness to Model Uncertainties
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Large-Scale Optimization Methods for Complex and Uncertain Inverse Problems
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Variational Autoencoders in Inverse Problems and Optimal Experiment Design
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MatCal: an open-source Python package for material model calibration using inverse problem approaches
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A differentiable, physics-informed ecosystem modeling and learning framework for large-scale inverse problems: demonstration with photosynthesis simulations
Photosynthesis plays an important role in carbon, nitrogen, and water cycles. Ecosystem models for photosynthesis are characterized by many parameters that are obtained from limited in situ measurements and applied to the same plant types. Previous site-by-site calibration approaches could not leverage big data and faced issues like overfitting or parameter non-uniqueness. Here we developed an end-to-end programmatically differentiable (meaning gradients of outputs to variables used in the model can be obtained efficiently and accurately) version of the photosynthesis process representation within the Functionally Assembled Terrestrial Ecosystem Simulator (FATES) model. As a genre of physics-informed machine learning (ML), differentiable models couple physics-based formulations to neural networks (NNs) that learn parameterizations (and potentially processes) from observations, here photosynthesis rates. We first demonstrated that the framework was able to correctly recover multiple assumed parameter values concurrently using synthetic training data. Then, using a real-world dataset consisting of many different plant functional types (PFTs), we learned parameters that performed substantially better and greatly reduced biases compared to literature values. Further, the framework allowed us to gain insights at a large scale. Our results showed that the carboxylation rate at 25 °C (V c,max25 ) was more impactful than a factor representing water limitation, although tuning both was helpful in addressing biases with the default values. This framework could potentially enable substantial improvement in our capability to learn parameters and reduce biases for ecosystem modeling at large scales.
An application of least squares method to the solution of the inverse problem of heat conduction.
Heat input to a body surface, using least squares method