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1 - 9 of 9 search results for `Computational mathematics in computer assisted proofs` |u:www.damtp.cam.ac.uk

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  2. Anders Hansen - Applied Functional and Harmonic Analysis

    www.damtp.cam.ac.uk/research/afha/anders/
    8 Jul 2024: Plenary speaker at Nordic Perspectives on Artificial Intelligence (Oct. 12-13, 2023). Organizing the workshop Computational mathematics in computer assisted proofs (Sept 12-16, 2022) together with Charles Fefferman and Svetlana ... Organizing the

  3. Upcoming Talks (up to Aug 2022)

    www.damtp.cam.ac.uk/user/mjc249/Talks.html
    18 Jun 2024: Computational mathematics in computer assisted proofs. (AIM Workshop. 30 Aug 2022. ... Applied and Computational Mathematics Seminar. (UC Irvine. 16 Nov 2018. The Computational Spectral Problem and a New Classification Theory: Novel Algorithms,

  4. CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…

    www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf
    11 May 2024: Natl. Acad. USA, 2022. 8. M.J. Colbrook, On the computation of geometric features of spectra of linear operators on Hilbert spaces, Founda-tions of Computational Mathematics, 2022. ... Data, University of Oxford September 2022.• AIM Workshop:

  5. COMPUTING SPECTRA – ON THE SOLVABILITY COMPLEXITY INDEX HIERARCHYAND…

    www.damtp.cam.ac.uk/research/afha/anders/SCI_FINAL.pdf
    20 Nov 2023: As a consequence, the SCI hierarchy provides classifications of computational problems that canbe used in computer-assisted proofs. ... Main theorems on computational quantum mechanics 126. Computing the non-computable - The role of the SCI hierarchy in

  6. 10th_Popov_Prize

    www.damtp.cam.ac.uk/user/mjc249/talks/Popov_talk_FoCM_mjc.pdf
    15 Jul 2023: FOUNDATIONS METHODS. • Σ1 Π1 computer-assisted proofs. • Much of computational literature not sharp! ... SCI throughout computational mathematics 36/37. • Computer-assisted proofs (Σ1 Π11)• Fefferman, Seco, “Aperiodicity of the Hamiltonian

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

    www.damtp.cam.ac.uk/research/afha/anders/Version0.pdf
    28 Nov 2023: 1. INTRODUCTION. Finite dimensional inverse problems are ubiquitous in the computational sciences as they naturally appearin a plethora of applications. ... 5. RELATION TO PREVIOUS WORK. As an ongoing topic of research in many areas of mathematics,

  8. © 2022 European Mathematical SocietyPublished by EMS Press J. ...

    www.damtp.cam.ac.uk/user/mjc249/pdfs/JEMS_foundations_colbrook.pdf
    21 Feb 2023: Keywords. Computational spectral problem, Solvability Complexity Index hierarchy, Smale’sprogram on the foundations of computational mathematics, computer-assisted proofs. ... used in computer-assisted proofs. Indeed, suppose we consider computational

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

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionProbabilistic.pdf
    18 Dec 2023: in computer assisted proofs.T. ... Hou) and Problem 5 (J.Lagarias) which discusses results on developing algorithms that are 100% trustworthy and thus appropriatefor computer assisted proofs.

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

    www.damtp.cam.ac.uk/research/afha/anders/InitialSubmitFeatureSelectionDeterministic.pdf
    18 Dec 2023: Ben-Artzi, M. Colbrook, M. Marletta [9, 10, 25, 35]. Trustworthy algorithms and computer assisted proofs: Trustworthy algorithms in optimisation go beyond sci-entific computing and have important implications in computer ... assisted proofs in mathematics

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