Prof. Felipe CUCKER

Research Output

  1. 2022
  2. Published

    On the Complexity of the Plantinga–Vegter Algorithm

    Cucker, F., Ergür, A. A. & Tonelli-Cueto, J., Oct 2022, In: Discrete & Computational Geometry. 68, 3, p. 664–708

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  3. 2021
  4. Published

    Computing the Homology of Semialgebraic Sets. II: General Formulas

    Bürgisser, P., Cucker, F. & Tonelli-Cueto, J., Oct 2021, In: Foundations of Computational Mathematics. 21, 5, p. 1279–1316 38 p.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 1
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  5. Published

    Redes Ocultas: Imagen en Movimiento y Visión Artificial

    Rodríguez, H., Cucker, F., Lai, L., Chan, S., Tam, K. F. & Díaz-Bertrana, C., 3 Jul 2021

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)44_Performance and participation in exhibits

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  6. Published

    Smale's 17th problem: Advances and open directions

    CUCKER, F., 2021, In: New Zealand Journal of Mathematics. 52, p. 233-257

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  7. 2020
  8. Published

    On local analysis

    Cucker, F. & Krick, T., Apr 2020, In: Journal of Complexity. 57, 101442.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  9. Published

    Computing the Homology of Semialgebraic Sets. I: Lax Formulas

    Bürgisser, P., Cucker, F. & Tonelli-Cueto, J., Feb 2020, In: Foundations of Computational Mathematics. 20, 1, p. 71-118

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 4
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  10. 2019
  11. Published

    Method for Determining Optimal Laying Arrangement of Infrastructure Link

    WANG, Z., ZUKERMAN, M., WANG, Q., MORAN, W., TAHCHI, E., Wang, Gang, WANG, Y. & 2 others, CUCKER, F. & GUO, J., 24 Sep 2019, Patent No. US10,425,280, Priority No. 15/785,793

    Research output: Patents, Agreements and Assignments (RGC: 51, 52, 53)51_Patents granted (CityU only, data source from KTO)

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  12. Published

    Codex: folio 307

    Rodriguez, H. & Cucker, F., 20 Sep 2019

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)43_Film, video

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  13. Published

    Plantinga-Vegter Algorithm takes Average Polynomial Time

    Cucker, F., Ergür, A. A. & Tonelli-Cueto, J., 8 Jul 2019, ISSAC '19 Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation. ACM, p. 114-121 (Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC).

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

    Scopus citations: 8
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  14. Published

    Recent Advances in the Computation of the Homology of Semialgebraic Sets

    Cucker, F., Jul 2019, Computing with Foresight and Industry: Proceedings. Manea, F., Martin, B., Paulusma, D. & Primiero, G. (eds.). Springer Nature Switzerland AG, p. 1-12 (Lecture Notes in Computer Science; vol. 11558 LNCS).

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

    Scopus citations: 2
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  15. Published

    Computing the homology of basic semialgebraic sets in weak exponential time

    Bürgisser, P., Cucker, F. & Lairez, P., Jan 2019, In: Journal of the ACM. 66, 1, 5.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 7
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  16. Published

    ON FLOCKS UNDER SWITCHING DIRECTED INTERACTION TOPOLOGIES

    CUCKER, F. & DONG, J., Jan 2019, In: SIAM Journal on Applied Mathematics. 79, 1, p. 95-110

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 12
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  17. 2018
  18. Published

    Computing the Homology of Real Projective Sets

    Cucker, F., Krick, T. & Shub, M., Aug 2018, In: Foundations of Computational Mathematics. 18, 4, p. 929-970

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 9
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  19. Published

    Approximation Theory (multi-media version): Singularity Now

    CUCKER, F., RODRIGUEZ, H., YEUNG, H., KRETSCHMANN, P. & CHAN, S., May 2018

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)44_Performance and participation in exhibits

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  20. Published

    Entropic Envelope (Mothlight): Frequency Domain Representation

    RODRIGUEZ, H., YEUNG, H., KRETSCHMANN, P., CUCKER, F. & CHAN, S., 10 Mar 2018

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)44_Performance and participation in exhibits

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  21. Published

    within the walls (original version)

    rodriguez, H., chan, S., kretschmann, P. & cucker, F., 10 Mar 2018

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)44_Performance and participation in exhibits

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  22. Published

    Grid Methods in Computational Real Algebraic (and Semialgebraic) Geometry

    CUCKER, F., Mar 2018, In: Chinese Annals of Mathematics. Series B. 39, 2, p. 373-396

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  23. Published

    A stable, polynomial-time algorithm for the eigenpair problem

    Armentano, D., Beltrán, C., Bürgisser, P., Cucker, F. & Shub, M., 2018, In: Journal of the European Mathematical Society. 20, 6, p. 1375-1437

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 7
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  24. 2017
  25. Published

    Approximation Theory

    Cucker, F. & Rodriguez, H., Dec 2017, 20th Generative Art Conference GA2017: GENERATIVE ART 2017 - GA2017, XX International Conference, Proceedings. Soddu, C. & Colabella, E. (eds.). Milan, Italy: Domus Argenia, p. 520-524

    Research output: Chapters, Conference Papers, Creative and Literary Works (RGC: 12, 32, 41, 45)32_Refereed conference paper (with ISBN/ISSN)peer-review

    Check@CityULib
  26. Published

    within the walls (alternate version)

    rodriguez, H., chan, S., kretschmann, P. & cucker, F., 18 Nov 2017

    Research output: Creative and Literary Works in Non-textual Form (RGC: 42, 43, 44, 46, 47)44_Performance and participation in exhibits

    Check@CityULib
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