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21 - 29 of 29 search results for `SIAM News` |u:www.damtp.cam.ac.uk

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  2. 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.

  3. A programme for computational analysis in the age of data

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

  4. On the existence of stable and accurate neural networks ...

    www.damtp.cam.ac.uk/user/mjc249/pdfs/NN_colbrook10.pdf
    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.

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

    www.damtp.cam.ac.uk/research/afha/anders/Version0.pdf
    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

  6. GENERALISED HARDNESS OF APPROXIMATION AND THE SCI HIERARCHY– ON ...

    www.damtp.cam.ac.uk/research/afha/anders/GHA.pdf
    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

  7. © 2022 European Mathematical SocietyPublished by EMS Press J. ...

    www.damtp.cam.ac.uk/user/mjc249/pdfs/JEMS_foundations_colbrook.pdf
    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

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

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionProbabilistic.pdf
    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

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

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionDeterministic.pdf
    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

  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. ... Boyer, P. Weiss, and J. Bigot, “An algorithm for variable

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