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27 Jul 2024: A Hansen, A Bastounis, D Higham, I Tyukin, V Vlacic. – SIAM News. ... SIAM News. (2021). Non-uniform Recovery Guarantees for Binary Measurements and Infinite-Dimensional Compressed Sensing.

27 Jul 2024: A Hansen, A Bastounis, D Higham, I Tyukin, V Vlacic. – SIAM News. ... SIAM News. (2021). Non-uniform Recovery Guarantees for Binary Measurements and Infinite-Dimensional Compressed Sensing.

9 Jul 2024: 32. S. Brunton, M. Colbrook, "Resilient Data-driven Dynamical Systems with Koopman: An Infinite-dimensional Numerical Analysis Perspective," SIAM News, 56(1), 2023 (cover article)31. ... Colbrook, A. Hansen, "Proving Existence Is Not Enough: Mathematical

8 Jul 2024: SIAM News, 50, no. 8 October 2017 (front cover). Papers in Chronological Order. ... SIAM News, 50, no. 8 October 2017. A. C. Hansen, L. Thesing, Sampling from binary measurements - On Reconstructions from Walsh coefficients,.

27 Jul 2024: SIAM News Blog, 8 June 2017. B. Düring and J. Miles. ... SIAM News 44(10), December 2011, pp. 1, 8. B. Düring, D.

27 Jul 2024: Our collaboration is also featured in SIAM News. ... Our collaboration was recently featured in several government and NHSX press releases and featured in several news articles. .

27 Jul 2024: A Hansen, A Bastounis, D Higham, I Tyukin, V Vlacic. – SIAM News.

27 Jul 2024: SIAM News. (2021). Deep Learning: What Could Go Wrong? A Hansen, A Bastounis, D Higham, I Tyukin, V Vlacic. – ... SIAM News. (2021). Optimal rates for independence testing via $U$-statistic permutation tests.

27 Jul 2024: Our collaboration is also featured in SIAM News.

27 Jul 2024: LR Hocking, R MacKenzie, CB Schönlieb. – SIAM Journal on Imaging Sciences. ... SIAM News. (2017). Efficient boundary integral solution for acoustic wave scattering by irregular surfaces.

27 Jul 2024: LR Hocking, R MacKenzie, CB Schönlieb. – SIAM Journal on Imaging Sciences. ... AC Hansen, A Bastounis, B Adcock. – SIAM News. (2017). Initial–boundary value problems associated with the Ablowitz–Ladik system.

11 May 2024: Outreach articles and interviews. 1. S. Brunton, M.J. Colbrook, Resilient data-driven dynamical systems with Koopman: An infinite-dimensional nu-merical analysis perspective, SIAM News, 2023.Cover highlight for issue. ... 2. V. Antun, M.J. Colbrook, A.C.

15 Jul 2023: with any DMD-type method! 19/19. Summary. Read more about these breakthroughs in SIAM News! ... Read more about these breakthroughs in SIAM News! Short video summariesavailable on YouTube:.

6 Apr 2024: 5] Colbrook, Matthew J. "The mpEDMD algorithm for data-driven computations of measure-preserving dynamical systems." SIAM Journal on Numerical Analysis 61.3 (2023): 1585-1608. ... Algebra. 2020. [9] Brunton, Steven L., and Matthew J. Colbrook. "Resilient

18 Dec 2022: Not Enough: : Mathematical Paradoxes Unravel the Limits of Neural Networks in Artificial Intelligence,” SIAM News, May 2022.• Choi, “Some AI Systems May Be Impossible to Compute,” IEEE Spectrum, March 2022.

29 Feb 2024: Summary : Polar decompositions DMD. Read more in SIAM News! https://github.com/MColbrook/Measure-preserving-Extended-Dynamic-Mode-Decomposition. • ... Computing spectral measures of self-adjoint operators." SIAM review 63.3 (2021): 489-524.

21 Mar 2024: Summary : Polar decompositions DMD. Read more in SIAM News! https://github.com/MColbrook/Measure-preserving-Extended-Dynamic-Mode-Decomposition. • ... Computing spectral measures of self-adjoint operators." SIAM review 63.3 (2021): 489-524.

9 Mar 2023: J. Numer. Anal., 2019.• Horning, Townsend, “FEAST for Differential Eigenvalue Problems,” SIAM J. ... Code: https://github.com/MColbrook/Residual-Dynamic-Mode-Decomposition. 34/34. Rigorous data-driven Koopmanism! Read more about these breakthroughs

20 Sep 2022: Not Enough: : Mathematical Paradoxes Unravel the Limits of Neural Networks in Artificial Intelligence,” SIAM News, May 2022.• Choi, “Some AI Systems May Be Impossible to Compute,” IEEE Spectrum, March 2022.

15 Jul 2023: e2107151119. [2] Antun, V., M. J. Colbrook, and A. C. Hansen. "Proving existence is not enough: Mathematical paradoxes unravel the limits of neural networks in artificial intelligence." SIAM News 55.4 ... References. , V., M. J. Colbrook, and A. C. Hansen

15 Jul 2023: Not Enough: : Mathematical Paradoxes Unravel the Limits of Neural Networks in Artificial Intelligence,” SIAM News, May 2022.• Choi, “Some AI Systems May Be Impossible to Compute,” IEEE Spectrum, March 2022. ... 2] Antun, V., M. J. Colbrook, and A.

6 Jan 2023: Spectral measures of self-adjoint operators. • C., Horning, Townsend “Computing spectral measures of self-adjoint operators,” SIAM Rev., 2021. • ... Not Enough: : Mathematical Paradoxes Unravel the Limits of Neural Networks in Artificial

17 Nov 2020: From global to local:Getting more from compressed sensing. SIAM News, Oct., 2017. ... SIAM Journal onImaging Sciences, 10(1):335–371, 2017. [9] J. Ben-Artzi, M. J.

28 Nov 2023: ON THE EXISTENCE OF OPTIMAL MULTI-VALUED DECODERS AND THEIR ACCURACYBOUNDS FOR UNDERSAMPLED INVERSE PROBLEMS. NINA M. GOTTSCHLING, PAOLO CAMPODONICO, VEGARD ANTUN, AND ANDERS C. HANSEN. ABSTRACT. Undersampled inverse problems occur everywhere in the

23 Sep 2022: GENERALISED HARDNESS OF APPROXIMATION AND THE SCI HIERARCHY–. ON DETERMINING THE BOUNDARIES OF TRAINING ALGORITHMS IN AI. LUCA EVA GAZDAG AND ANDERS C. HANSEN. ABSTRACT. Hardness of approximation (HA) – the phenomenon that, assuming P 6= NP, one

21 Feb 2023: 2022 European Mathematical SocietyPublished by EMS Press. J. Eur. Math. Soc. (Online first) DOI 10.4171/JEMS/1289. Matthew J. Colbrook Anders C. Hansen. The foundations of spectral computations via theSolvability Complexity Index hierarchy. Received

18 Dec 2023: WHEN CAN YOU TRUST FEATURE SELECTION? – II: ON THE EFFECTS OF RANDOMDATA ON CONDITION IN STATISTICS AND OPTIMISATION. ALEXANDER BASTOUNIS, FELIPE CUCKER, AND ANDERS C. HANSEN. ABSTRACT. In Part I, we defined a LASSO condition number and developed

18 Dec 2023: WHEN CAN YOU TRUST FEATURE SELECTION? – I: A CONDITION-BASED ANALYSIS OFLASSO AND GENERALISED HARDNESS OF APPROXIMATION. ALEXANDER BASTOUNIS, FELIPE CUCKER, AND ANDERS C. HANSEN. ABSTRACT. The arrival of AI techniques in computations, with the

20 Jul 2022: Antun, M. J. Colbrook, and A. C. Hansen, “Proving existenceis not enough: Mathematical paradoxes unravel the limits of neuralnetworks in artificial intelligence,” SIAM News, vol. ... Boyer, P. Weiss, and J. Bigot, “An algorithm for variable