Our published papers can be found in the publications section.
2024
A. Aspri, L. Frischauf and O. Scherzer Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems Preprint on ArXiv, 2408.10690, 2024 ( 
| funding | PDF )
| funding | PDF )@techreport{AspFriSch24_preprint,
author = {Aspri, A. and Frischauf, L. and Scherzer, O.},
title = {Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems},
number = {2408.10690},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2408.10690},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
Y. Dong, K. Sadiq and J. C. O. Schotland Scherzer Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach Preprint on ArXiv, 2407.12656, 2024 ( | funding | PDF )
| funding | PDF )@techreport{DonSadSchScho24_preprint,
author = {Dong, Y. and Sadiq, K. and Scherzer, O. Schotland, J.~C. },
title = {Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach},
number = {2407.12656},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2407.12656},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
L. Frischauf, O. Scherzer and C. Shi Classification with neural networks with quadratic decision functions Preprint on ArXiv, 2401.10710, 2024 ( | funding | PDF )
| funding | PDF )@techreport{FriSchShi24_preprint,
author = {Frischauf, L. and Scherzer, O. and Shi, C. },
title = {Classification with neural networks with quadratic decision functions},
number = {2401.10710},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2401.10710},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
P. Gangl, B. Mejri and O. Scherzer Vertex characterization via second-order topological derivatives Preprint on ArXiv, 2408.15847, 2024 ( | funding | PDF )
| funding | PDF )@techreport{GanMejSch24_preprint1,
author = {Gangl, P. and Mejri, B. and Scherzer, O.},
title = {Vertex characterization via second-order topological derivatives},
number = {2408.15847},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2408.15847},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
C. Kirisits, N. Naujoks and O. Scherzer Diffraction Tomography for a Generalized Incident Field Preprint on ArXiv, 2403.16835, 2024 ( | funding | PDF )
| funding | PDF )@techreport{KirNauSch24_preprint,
author = {Kirisits, C. and Naujoks, N. and Scherzer, O.},
title = {Diffraction Tomography for a Generalized Incident Field},
doi = {10.48550/arXiv.2403.16835},
number = {2403.16835},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2403.16835},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
C. Kirisits, M. Quellmalz and E. Setterqvist Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction Preprint on ArXiv, 2407.01793, 2024 ( | funding | PDF )
| funding | PDF )@techreport{KirQueSet24_preprint,
author = {Kirisits, C. and Quellmalz, M. and Setterqvist, E.},
title = {Generalized Fourier Diffraction Theorem and Filtered Backpropagation for Tomographic Reconstruction},
doi = {10.48550/arXiv.2407.01793},
number = {2407.01793},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2407.01793},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
C. Kirisits, K. Raik, O. Scherzer, C. Strohmenger and J. Yan Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval Preprint on ArXiv, 2406.14143, 2024 ( | funding | PDF )
| funding | PDF )@techreport{KirRaiSchStrYan24_preprint,
author = {Kirisits, C. and Raik, K. and Scherzer, O. and Strohmenger, C. and Yan, J.},
title = {Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval},
doi = {10.48550/arXiv.2406.14143},
number = {2406.14143},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2406.14143},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
C. Kirisits, K. Raik, O. Scherzer, C. Strohmenger and J. Yan Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval Preprint on ArXiv, 2406.14143, 2024 ( | funding | PDF )
| funding | PDF )@techreport{KirRaiSchStrYan24_preprint2,
author = {Kirisits, C. and Raik, K. and Scherzer, O. and Strohmenger, C. and Yan, J.},
title = {Using the Transport of Intensity and the Transport of Phase Equation for Phase Retrieval},
doi = {10.48550/arXiv.2406.14143},
number = {2406.14143},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2406.14143},
year = {2024},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
2023
A. Aspri and O. Scherzer Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data Preprint on ArXiv, 2312.03337, 2023 ( | funding | PDF )
| funding | PDF )@techreport{AspSch23_preprint,
author = {Aspri, A. and Scherzer, O.},
title = {Analysis of Generalized Iteratively Regularized Landweber Iterations driven by data},
doi = {10.48550/arXiv.2312.03337},
number = {2312.03337},
type = {Preprint on ArXiv},
year = {2023},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
L. Frischauf, O. Scherzer and C. Shi Quadratic neural networks for solving inverse problems Preprint on ArXiv, 2401.09445, 2023 ( | funding | PDF )
| funding | PDF )@techreport{FriSchShi23_preprint3,
author = {Frischauf, L. and Scherzer, O. and Shi, C. },
title = {Quadratic neural networks for solving inverse problems},
number = {2401.09445},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2401.09445},
year = {2023},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
F. Parzer, C. Kirisits and O. Scherzer Uncertainty Quantification for Scale-Space Blob Detection Preprint on ArXiv, 2307.15489, 2023 ( | funding | PDF )
| funding | PDF )@techreport{ParKirSch23_preprint,
author = {Parzer, F. and Kirisits, C. and Scherzer, O.},
title = {Uncertainty Quantification for Scale-Space Blob Detection},
number = {2307.15489},
type = {Preprint on ArXiv},
url = {http://arxiv.org/abs/2307.15489},
year = {2023},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
O. Scherzer, B. Hofmann and Z. Nashed Newton's methods for solving linear inverse problems with neural network coders Preprint on ArXiv, 2303.14058, 2023 ( | funding | PDF )
| funding | PDF )@techreport{SchHofNas23_preprint,
author = {Scherzer, O. and Hofmann, B. and Nashed, Z.},
title = {Newton's methods for solving linear inverse problems with neural network coders},
number = {2303.14058},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2303.14058},
year = {2023},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
2022
F. Faucher and O. Scherzer Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty Technical report, 2204.13017, 2022 ( | funding | PDF )
| funding | PDF )@techreport{FauSch22_report,
author = {Faucher, F. and Scherzer, O.},
title = {Quantitative inverse problem in visco-acoustic media under attenuation model uncertainty},
number = {2204.13017},
url = {https://arxiv.org/abs/2204.13017},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
L. Frischauf, O. Scherzer and C. Shi Universal approximation properties of shallow quadratic neural networks Technical report, 2110.01536v2, 2022 ( | funding | PDF )
| funding | PDF )@techreport{FriSchShi22_preprint,
author = {Frischauf, L. and Scherzer, O. and Shi, C. },
title = {Universal approximation properties of shallow quadratic neural networks},
number = {2110.01536v2},
url = {https://arxiv.org/abs/2110.01536v2},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
P. Jethwa, F. Parzer, O. Scherzer and G. van de Ven Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries Preprint on ArXiv, 2208.05881, 2022 ( | funding | PDF )
| funding | PDF )@techreport{JetParSchVen22_report,
author = {Jethwa, P. and Parzer, F. and Scherzer, O. and van~de~Ven, G.},
title = {Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries},
number = {2208.05881},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2208.05881v1},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the projects F6807-N36 and F68011-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
F. Parzer, P. Jethwa, A. Boecker, M. Alfaro-Cuello, O. Scherzer and G. van de Ven Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries Preprint on ArXiv, 2208.05881, 2022 ( | funding | PDF )
| funding | PDF )@techreport{JetParSchVen22b_report,
author = {Parzer, F. and Jethwa, P. and Boecker, A. and Alfaro-Cuello, M. and Scherzer, O. and van de Ven, G.},
title = {Uncertainty-Aware Blob Detection with an Application to Integrated-Light Stellar Population Recoveries},
number = {2208.05881},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2208.05881v2},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the projects F6807-N36 and F68011-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
B. Mejri and Scherzer O. A new inversion scheme for elastic diffraction tomography Preprint on ArXiv, 2212.02798, 2022 ( | funding | PDF )
| funding | PDF )@techreport{MejSch22_report,
author = {Mejri, B. and Scherzer O.},
title = {A new inversion scheme for elastic diffraction tomography},
number = {2212.02798},
type = {Preprint on ArXiv},
url = {https://arxiv.org/abs/2212.02798},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) within 10.55776/P34981 - "New Inverse Problems of Super-Resolved Microscopy". Funded by the Austrian Science Fund (FWF) in the project F6807-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
M. Quellmalz, P. Elbau, O. Scherzer and G. Steidl Motion Detection in Diffraction Tomography by Common Circle Methods Preprint on arXiv, 2209.08086, 2022 ( | funding | PDF )
| funding | PDF )@techreport{QueElbSchSte22_report,
author = {Quellmalz, M. and Elbau, P. and Scherzer, O. and Steidl, G.},
title = {Motion Detection in Diffraction Tomography by Common Circle Methods},
number = {2209.08086},
type = {Preprint on arXiv},
url = {https://arxiv.org/abs/2209.08086},
year = {2022},
}
The financial support by the Austrian Federal Ministry for Digital and Economic Affairs, the National Foundation for Research, Technology and Development and the Christian Doppler Research Association is gratefully acknowledged -- published within CD Laboratory for Mathematical Modelling and Simulation of Next-Generation Medical Ultrasound Devices. Funded by the Austrian Science Fund (FWF) in the projects F6804-N36, F6807-N36 and F68010-N36 within the Special Research Programme SFB 10.55776/F68: "Tomography Across the Scales".
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