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6 Jan 2023: Müller, SIAM News 53, No. 7, p.6-7, September 2020. ... Mathematicians and Ethical Engagement, M. Chiodo, D. Müller, SIAM News 51, No.

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:.

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

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

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

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

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

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