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09/05/2023
A Structurally Informed Data Assimilation Approach for Nonlinear Partial Differential Equations
Ensemble transform Kalman filtering (ETKF) data assimilation is often us...
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03/29/2023
Leveraging joint sparsity in hierarchical Bayesian learning
We present a hierarchical Bayesian learning approach to infer jointly sp...
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02/28/2023
Sequential edge detection using joint hierarchical Bayesian learning
This paper introduces a new sparse Bayesian learning (SBL) algorithm tha...
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11/25/2022
Designing Neural Networks for Hyperbolic Conservation Laws
We propose a new data-driven method to learn the dynamics of an unknown ...
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06/21/2022
Improving numerical accuracy for the viscous-plastic formulation of sea ice
Accurate modeling of sea ice dynamics is critical for predicting environ...
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03/28/2022
Sequential image recovery from noisy and under-sampled Fourier data
A new algorithm is developed to jointly recover a temporal sequence of i...
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01/18/2022
Generalized sparse Bayesian learning and application to image reconstruction
Image reconstruction based on indirect, noisy, or incomplete data remain...
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03/29/2021
Empirical Bayesian Inference using Joint Sparsity
This paper develops a new empirical Bayesian inference algorithm for sol...
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02/01/2021
Stabilizing Radial Basis Function Methods for Conservation Laws Using Weakly Enforced Boundary Conditions
It is well understood that boundary conditions (BCs) may cause global ra...
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07/13/2020
Synthetic Aperture Radar Image Formation with Uncertainty Quantification
Synthetic aperture radar (SAR) is a day or night any-weather imaging mod...
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10/24/2019
Thresholded Non-Uniform Fourier Frame-Based Reconstruction for Stripmap SAR
Fourier domain methods are fast algorithms for SAR imaging. They typical...
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10/18/2019
Accelerated Variance Based Joint Sparsity Recovery of Images from Fourier Data
Several problems in imaging acquire multiple measurement vectors (MMVs) ...
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06/26/2017