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1 - 9 of 9 search results for `SIAM News 55 4` |u:www.damtp.cam.ac.uk

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  2. Matthew Colbrook

    www.damtp.cam.ac.uk/user/mjc249/Publications.html
    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

  3. ON THE EXISTENCE OF OPTIMAL MULTI-VALUED DECODERS AND THEIR ...

    www.damtp.cam.ac.uk/research/afha/anders/Version0.pdf
    28 Nov 2023: Theorem 3.4 (Worst case optimality bounds). Under Assumptions 1 and 2, the following holds. ... Antun et al. in [9] and N. M. Gottschling etal. in [55].

  4. S-D NLEVPs

    www.damtp.cam.ac.uk/user/mjc249/talks/strathclyde_2023_NEP_mjc.pdf
    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

  5. Residual Dynamic Mode Decomposition Rigorous data-driven computation…

    www.damtp.cam.ac.uk/user/mjc249/talks/mpEDMD_portland_mjc.pdf
    15 Jul 2023: Read more about these breakthroughs in SIAM News! Short video summariesavailable on YouTube:. ... 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

  6. WHEN CAN YOU TRUST FEATURE SELECTION? – II: ON ...

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionProbabilistic.pdf
    18 Dec 2023: K̂[[v]]2. )). with probability at least p. 4. CONNECTION TO PREVIOUS WORK. ... See also the work by Beck &Teboulle [9] and Wright, Nowak & Figueiredo [55], and the references therein, as well as [2, 14, 54].However, while these algorithms are capable of

  7. 10th_Popov_Prize

    www.damtp.cam.ac.uk/user/mjc249/talks/Popov_talk_FoCM_mjc.pdf
    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.

  8. WHEN CAN YOU TRUST FEATURE SELECTION? – I: A ...

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionDeterministic.pdf
    18 Dec 2023: Remark 1.4 (Condition and GHA). Condition numbers are well-known to often provide sufficient conditions forthe existence of trustworthy algorithms in optimisation [16, 19, 53, 55–58]. ... In optimisation J.Renegar has pioneered the theory of condition

  9. © 2022 European Mathematical SocietyPublished by EMS Press J. ...

    www.damtp.cam.ac.uk/user/mjc249/pdfs/JEMS_foundations_colbrook.pdf
    21 Feb 2023: newly established Solvability Complexity Index (SCI) hierarchy[11–13, 49, 51–53, 55, 57, 59, 95, 96]. ... Recent results establishing the SCI hierarchy [11–13, 49, 51–53, 55, 57, 59, 95, 96]reveal that the computational spectral problem becomes

  10. Stratified Sampling Based Compressed Sensing for Structured Signals

    www.damtp.cam.ac.uk/user/mjc249/pdfs/Stratified_Sampling_Based_Compressed_Sensing_for_Structured_Signals.pdf
    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. ... 55, no. 4, pp. 1–4,2022. [Online]. Available:

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