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  1. Automatic reproducing kernel and regularization for learning convolution kernels
    2025/07/16 by Haibo Li, Li, Haibo, Fei Lu +1 · 2 citations
    Computer Science · #47A52 #65F22 #65J20 #FOS: Mathematics #Neural Networks and Applications #Numerical Analysis (math.NA)
  2. On the emergence of numerical instabilities in Next Generation Reservoir Computing
    2025/05/01 by Edmilson Roque dos Santos, Santos, Edmilson Roque dos, Erik M. Bollt +1 · 3 citations
    Computer Science · Physics and Astronomy · #37M10 #62M10 #65F22 #Data Analysis #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Neural Networks and Reservoir Computing #Statistics and Probability (physics.data-an)
  3. Iterative Refinement and Flexible Iteratively Reweighed Solvers for Linear Inverse Problems with Sparse Solutions
    2025/02/04 by Onisk, Lucas, Landman, Malena Sabaté · 2 citations
    #15A29 #65F10 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)
  4. A Paired Autoencoder Framework for Inverse Problems via Bayes Risk Minimization
    2025/01/24 by Hart, Emma, Chung, Julianne, Chung, Matthias · 3 citations
    #65F22 #65F55 #68T07 #68U10 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  5. Split Bregman Isotropic and Anisotropic Image Deblurring with Kronecker Product Sum Approximations using Single Precision Enlarged-GKB or RSVD Algorithms to provide low rank truncated SVDs
    2024/09/30 by Alsubhi, Abdulmajeed, Renaut, Rosemary · 1 citation
    #65F10 #65F22 #68W40 #FOS: Mathematics #Numerical Analysis (math.NA)
  6. Inner Product Free Krylov Methods for Large-Scale Inverse Problems
    2024/09/08 by Brown, Ariana N., Chung, Julianne, Nagy, James G. +1 · 4 citations
    #15A29 #65F10 #65F22 #65K10 #FOS: Mathematics #Numerical Analysis (math.NA)
  7. Multispectral Image Restoration by Generalized Opponent Transformation Total Variation
    2024/03/19 by Zhantao Ma, Michael K. Ng, Ma, Zhantao +1 · 1 citation
    Computer Science · Engineering · #35A15 #52A41 #65F22 #65K10 #68U10 #Advanced Image Fusion Techniques #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Image and Signal Denoising Methods #Numerical Analysis (math.NA)
  8. MOCCA: A Fast Algorithm for Parallel MRI Reconstruction Using Model Based Coil Calibration
    2024/03/19 by Gerlind Plonka, Yannick Riebe, Plonka, Gerlind +1 · 1 citation
    Computer Science · Medicine · #15A18 #15B05 #42A10 #65F10 #65F22 #65T50 #94A08 #Advanced MRI Techniques and Applications #FOS: Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA)
  9. Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
    2024/02/09 by Carrillo, Jose A., Estrada-Rodriguez, Gissell, Mikolas, Laszlo +1 · 2 citations
    #35Q70 #65F22 #70-08 #70F17 #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Hyperparameter Estimation for Sparse Bayesian Learning Models
    2024/01/04 by Yu, Feng, Shen, Lixin, Song, Guohui · 2 citations
    #62F15 #65F22 #65K10 #Computation (stat.CO) #FOS: Computer and information sciences #Machine Learning (cs.LG)
  11. Convergence analysis and parameter estimation for the iterated Arnoldi-Tikhonov method
    2023/11/20 by Bianchi, Davide, Donatelli, Marco, Furchì, Davide +1 · 2 citations
    #47A52 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)
  12. Flexible Krylov Methods for Group Sparsity Regularization
    2023/06/14 by Julianne Chung, Malena Sabaté Landman, Chung, Julianne +1 · 1 citation
    Computer Science · Engineering · Mathematics · #65F10 #65F22 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques
  13. A quadratic decoder approach to nonintrusive reduced-order modeling of nonlinear dynamical systems
    2022/09/30 by Benner, Peter, Goyal, Pawan, Heiland, Jan +1 · 2 citations
    #37N10 #65F22 #68T05 #76D05 #93A15 #93C10 #Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)
  14. On the structure of regularization paths for piecewise differentiable regularization terms
    2021/11/12 by Gebken, Bennet, Bieker, Katharina, Peitz, Sebastian · 1 citation
    #49J52 #62J07 #65F22 #90C29 #FOS: Mathematics #Optimization and Control (math.OC)
  15. Non-intrusive reduced-order models for parametric partial differential equations via data-driven operator inference
    2021/10/14 by Shane A. McQuarrie, McQuarrie, Shane A, Parisa Khodabakhshi +3 · 10 citations
    Computer Science · Materials Science · Physics and Astronomy · #35B30 #35R30 #65F22 #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Magnetic Properties and Applications #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA) #and Science (cs.CE)
  16. Regularization by inexact Krylov methods with applications to blind deblurring
    2021/05/16 by Gazzola, Silvia, Landman, Malena Sabaté · 2 citations
    #65F20 #65F22 #65F30 #FOS: Mathematics #Numerical Analysis (math.NA)
  17. Edge-promoting adaptive Bayesian experimental design for X-ray imaging
    2021/04/01 by Helin, Tapio, Hyvönen, Nuutti, Puska, Juha-Pekka · 1 citation
    #62K05 #65F22 #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Numerical Analysis (math.NA)
  18. Data driven reconstruction using frames and Riesz bases
    2021/03/09 by Aspri, Andrea, Frischauf, Leon, Korolev, Yury +1 · 1 citation
    #47A52 #65F22 #65J20 #65J22 #FOS: Mathematics #Numerical Analysis (math.NA)
  19. Novel Deep neural networks for solving Bayesian statistical inverse
    2021/02/08 by Antil, Harbir, Elman, Howard C, Onwunta, Akwum +1 · 1 citation
    #65C40 #65C60 #65F22 #65N12 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  20. Tensor Completion via Tensor QR Decomposition and L2,1-Norm Minimization
    2020/11/09 by Zheng, Yongming, Xu, An-Bao · 1 citation
    #15A69 #65F22 #68P20 #78M50 #FOS: Mathematics #G.1.3 #G.1.6 #I.4.10 #Numerical Analysis (math.NA)
  21. Overlapping Domain Decomposition Methods for Ptychographic Imaging
    2020/10/31 by Huibin Chang, Roland Glowinski, Chang, Huibin +9 · 1 citation
    Engineering · Medicine · Physics and Astronomy · #46N10 #49N30 #49N45 #65F22 #65N21 #Advanced X-ray Imaging Techniques #Advancements in Photolithography Techniques #FOS: Mathematics #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  22. How exponentially ill-conditioned are contiguous submatrices of the Fourier matrix?
    2020/04/20 by Barnett, Alex H. · 2 citations
    #15A12 #42A10 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)
  23. Tensor extrapolation methods with applications
    2020/04/12 by Beik, F. P. A., Ichi, A. El, Jbilou, K. +1 · 2 citations
    #15A69 #15A72 #65B05 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)
  24. BoSSS: a package for multigrid extended discontinuous Galerkin methods
    2020/03/05 by Kummer, Florian, Smuda, Martin, Weber, Jens · 1 citation
    #65F08 #65F10 #65F22 #65N55 (Primary)n 65-04 #FOS: Mathematics #J.2 #Numerical Analysis (math.NA)
  25. Tikhonov Regularization Within Ensemble Kalman Inversion
    2019/01/29 by Chada, Neil K., Stuart, Andrew M., Tong, Xin T. · 4 citations
    #35Q93 #58E25 #65F22 #65M32 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  26. Sampled Tikhonov Regularization for Large Linear Inverse Problems
    2018/12/14 by Slagel, J. Tanner, Chung, Julianne, Chung, Matthias +2 · 2 citations
    #15A29 #65F10 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)
  27. Modern Regularization Methods for Inverse Problems
    2018/01/30 by Benning, Martin, Burger, Martin · 15 citations
    #00A69 #35R30 #47A52 #47J30 #49J40 #49N45 #49R05 #65F22 #65J20 #65J22 #65K10 #65K15 #65M32 #65N21 #65R32 #90C26 #94A08 #FOS: Mathematics #Numerical Analysis (math.NA)
  28. Backtracking strategies for accelerated descent methods with smooth\n composite objectives
    2017/09/26 by Luca Calatroni, Antonin Chambolle, Calatroni, Luca +1 · 2 citations
    Computer Science · Engineering · Mathematics · Medicine · #65F22 #90C25 #FOS: Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  29. Generalized hybrid iterative methods for large-scale Bayesian inverse problems
    2016/07/13 by Chung, Julianne, Saibaba, Arvind K. · 1 citation
    #15A29 #65F20 #65F22 #65F30 #FOS: Mathematics #Numerical Analysis (math.NA)
  30. On rational functions without Froissart doublets
    2016/05/02 by Beckermann, Bernhard, Labahn, George, Matos, Ana C. · 1 citation
    #41A21 #65F22 #FOS: Mathematics #Numerical Analysis (math.NA)

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