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| Showing results 1-32 of 32 |
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2022
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| 1. | Antun, Vegard; Colbrook, Matthew; Hansen, Anders Christian. Mathematical paradoxes unearth the boundaries of AI. TheScienceBreaker 2022 UiO |
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| 2. | Antun, Vegard; Colbrook, Matthew J.; Hansen, Anders Christian. Proving existence is not enough: Mathematical paradoxes unravel the limits of neural networks in AI. SIAM News 2022 ;Volume 55.(4) p. 1-4 UiO |
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| 3. | Colbrook, Matthew J.; Antun, Vegard; Hansen, Anders Christian. The difficulty of computing stable and accurate neural networks: On the barriers of deep learning and Smale's 18th problem. Proceedings of the National Academy of Sciences of the United States of America 2022 ;Volume 119.(12) p. - UiO |
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2021
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| 4. | Adcock, Ben; Antun, Vegard; Hansen, Anders Christian. Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling. Applied and Computational Harmonic Analysis 2021 ;Volume 55. p. 1-40 UiO |
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| 5. | Adcock, Ben; Hansen, Anders Christian. Compressive Imaging: Structure, Sampling, Learning. Cambridge University Press 2021 (ISBN 978-1-108-42161-4) 613 p. UiO |
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| 6. | Antun, Vegard; Gottschling, Nina; Hansen, Anders Christian; Adcock, Ben. Deep learning in scientific computing: Understanding the instability mystery. SIAM News 2021 ;Volume 54.(2) p. 3-5 UiO |
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2020
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| 7. | Antun, Vegard; Renna, Francesco; Poon, Clarice; Adcock, Ben; Hansen, Anders Christian. On instabilities of deep learning in image reconstruction and the potential costs of AI. Proceedings of the National Academy of Sciences of the United States of America 2020 ;Volume 117.(48) p. 30088-30095 UiO |
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| 8. | Hansen, Anders Christian; Roman, Bogdan. Structure and Optimisation in Computational Harmonic Analysis: On Key Aspects in Sparse Regularisation. Springer Nature 2020 (ISBN 978-3-030-61886-5) 50 p. Springer Optimization and Its Applications(1) UiO |
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| 9. | Schoormans, Jasper; Strijkers, Gustav J.; Hansen, Anders Christian; Nederveen, Aart; Coolen, Bram. Compressed sensing MRI with variable density averaging (CS-VDA) outperforms full sampling at low SNR. Physics in Medicine and Biology 2020 |
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2019
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| 10. | Colbrook, Matthew; Bogdan, Roman; Hansen, Anders Christian. How to compute spectra with error control. Physical Review Letters 2019 ;Volume 122.(25) p. - |
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| 11. | Colbrook, Matthew; Hansen, Anders Christian. On the infinite-dimensional QR algorithm. Numerische Mathematik 2019 ;Volume 143. p. 17-83 |
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| 12. | Hansen, Anders Christian; Calderbank, Robert; Roman, Bogdan; Thesing, Laura. On Reconstructing Functions from Binary Measurements. Birkhäuser Verlag 2019 (ISBN 978-3-319-73073-8) 33 p. Applied and Numerical Harmonic Analysis (ANHA)(1) UiO |
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2018
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| 13. | Hansen, Anders Christian; Thesing, L. On the stable sampling rate for binary measurements and wavelet reconstruction. Applied and Computational Harmonic Analysis 2018 p. 1-25 UiO |
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| 14. | Thesing, Laura; Hansen, Anders Christian. Linear reconstructions and the analysis of the stable sampling rate. Sampling Theory in Signal and Image Processing 2018 ;Volume 17. p. 103-126 |
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2017
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| 15. | Adcock, Ben; Hansen, Anders Christian; Poon, Clarice; Roman, Bogdan. Breaking the coherence barrier: A new theory for compressed sensing. Forum of Mathematics, Sigma 2017 ;Volume 5. p. 1-84 UiO |
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| 16. | Bastounis, Alexander; Adcock, Ben; Hansen, Anders Christian. From Global to Local: Getting More from Compressed Sensing. SIAM News 2017 UiO |
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| 17. | Bastounis, Alexander; Hansen, Anders Christian. On the absence of uniform recovery in many real-world applications of compressed sensing and the restricted isometry property and nullspace property in levels. SIAM Journal of Imaging Sciences 2017 ;Volume 10.(1) p. 335-371 UiO |
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| 18. | Hansen, Anders Christian; Nevanlinna, Olavi. Complexity issues in computing spectra, pseudospectra and resolvents. Banach Center Publications 2017 UiO |
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| 19. | Hansen, Anders Christian; Thesing, Laura. Sampling from binary measurements - on reconstructions from Walsh coefficients. 2017 International Conference on Sampling Theory and Applications (SampTA); 2017-07-08 - 2017-07-12 UiO |
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2016
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| 20. | Adcock, Ben; Gataric, Milana; Hansen, Anders Christian. Density Theorems for Nonuniform Sampling of Bandlimited Functions Using Derivatives or Bunched Measurements. Journal of Fourier Analysis and Applications 2016 p. 1-37 UiO |
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| 21. | Adcock, Ben; Gataric, Milana; Hansen, Anders Christian. Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples. Applied and Computational Harmonic Analysis 2016 ;Volume 42.(3) p. 508-535 UiO |
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| 22. | Adcock, Ben; Hansen, Anders Christian; Roman, Bogdan. A note on compressed sensing of structured sparse wavelet coefficients from subsampled Fourier measurements. IEEE Signal Processing Letters 2016 ;Volume 23.(5) p. 732-736 |
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| 23. | Jones, Alexander Daniel; Adcock, Ben; Hansen, Anders Christian. On asymptotic incoherence and its implications for compressed sensing of inverse problems. IEEE Transactions on Information Theory 2016 ;Volume 62.(2) p. 1020-1037 UiO |
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| 24. | Jones, Alexander Daniel; Tamtogl, Anton; Calvo-Almaz, Irene; Hansen, Anders Christian. Continuous compressed sensing of inelastic and quasielastic Helium Atom Scattering spectra. Scientific Reports 2016 p. 1-11 |
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2015
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| 25. | Adcock, Ben; Gataric, Milana; Hansen, Anders Christian. Recovering piecewise smooth functions from nonuniform Fourier measurements. Lecture Notes in Computational Science and Engineering 2015 ;Volume 106. p. 117-125 |
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| 26. | Adcock, Ben; Hansen, Anders Christian. Generalized Sampling and Infinite Dimensional Compressed Sensing. Foundations of Computational Mathematics 2015 |
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| 27. | Adcock, Ben; Hansen, Anders Christian. Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients. Mathematics of Computation 2015 ;Volume 84.(291) p. 237-270 |
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| 28. | Adcock, Ben; Hansen, Anders Christian; Gataric, Milana. Stable nonuniform sampling with weighted Fourier frames and recovery in arbitrary spaces. IEEE conference proceedings 2015 (ISBN 978-1-4673-7353-1) 587 p. UiO |
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| 29. | Adcock, Ben; Hansen, Anders Christian; Kutyniok, Gitta; Ma, Jackie. Linear stable sampling rate: Optimality of 2D wavelet reconstructions from Fourier measurements. SIAM Journal on Mathematical Analysis 2015 ;Volume 47.(2) p. 1196-1233 |
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| 30. | Adcock, Ben; Hansen, Anders Christian; Roman, Bogdan. The Quest for Optimal Sampling: Computationally Efficient, Structure-Exploiting Measurements for Compressed Sensing. Birkhäuser Verlag 2015 (ISBN 978-3-319-16042-9) 468 p. UiO |
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| 31. | Bastounis, Alexander; Hansen, Anders Christian. On random and deterministic compressed sensing and the Restricted Isometry Property in levels. IEEE conference proceedings 2015 (ISBN 978-1-4673-7353-1) 587 p. UiO |
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| 32. | Ben-Artzi, Jonathan; Hansen, Anders Christian; Nevanlinna, Olavi; Seidel, Markus. New barriers in complexity theory: On the solvability complexity index and the towers of algorithms. Comptes rendus. Mathematique 2015 ;Volume 353.(10) p. 931-936 UiO |
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