Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Probabilistic tools for high-dimensional geometric inference, topological data analysis, and large-scale networks.

2019/35/D/ST6/04525

Keywords:

algorithms computational geometry topological data analysis high-dimensional probability VC dimension dimensionality reduction random structures.

Descriptors:

  • ST6_006:
  • ST1_013:
  • ST1_014:

Panel:

ST6 - Computer science and informatics: informatics and information systems, computer science, scientific computing, intelligent systems

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Kunal Dutta 

Number of co-investigators in the project: 2

Call: SONATA 15 - announced on 2019-09-16

Amount awarded: 356 400 PLN

Project start date (Y-m-d): 2020-07-20

Project end date (Y-m-d): 2025-07-19

Project duration:: 60 months (the same as in the proposal)

Project status: Project completed

Project description

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Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Articles in post-conference publications (4)
  1. A Euclidean Embedding for Computing Persistent Homology with Gaussian Kernels
    Authors:
    Jean-Daniel Boissonnat, Kunal Dutta
    Conference:
    Proceedings of the 32nd Annual European Symposium on Algorithms (ESA 2024) (rok: 2024, tom: 32nd Annual European Symposium on Algorithms (ESA 2024), strony: 29:1-29:18), Wydawca: LIPIcs
    Data:
    konferencja September 2-4, 2024
    Status:
    Published
    DOI:
    10.4230/LIPIcs.ESA.2024.29 - link to the publication
  2. DiffRed: Dimensionality Reduction guided by stable rank
    Authors:
    Gagan Raj Gupta, Prarabdh Shukla, Kunal Dutta
    Conference:
    Proceedings of Machine Learning Research, International Conference on Artificial Intelligence and Statistics (AISTATS), 2-4 May 2024, Palau de Congressos, Valencia, Spain (rok: 2024, tom: AISTATS 2024, International Conference on Artificial Intelligence and Statistics, 2024, strony: PMLR 238:3430-238:3438), Wydawca: PMLR
    Data:
    konferencja May 2-4, 2024
    Status:
    Published
  3. Uniform Brackets, Containers, and Combinatorial Macbeath Regions
    Authors:
    Kunal Dutta, Arijit Ghosh, Shay Moran
    Conference:
    13th Innovations in Theoretical Computer Science Conference (ITCS 2022). Editor: Mark Braverman (rok: 2022, tom: ITCS 2022, strony: 59:1 - 59:10), Wydawca: LIPICS
    Data:
    konferencja 31.01.2022 to 04.02.2022
    Status:
    Published
    DOI:
    10.4230/LIPIcs.ITCS.2022.59 - link to the publication
  4. On Edge Collapse of Random Simplicial Complexes
    Authors:
    Jean-Daniel Boissonnat, Kunal Dutta, Soumik Dutta, Siddharth Pritam
    Conference:
    Proceedings of the 40th International Symposium on Computational Geometry, SoCG 2024, June 11-14, 2024, Athens, Greece (rok: 2024, tom: 40th International Symposium on Computational Geometry, SoCG 2024, strony: 21:1-21:16), Wydawca: LIPIcs
    Data:
    konferencja June 11-14, 2024
    Status:
    Published
    DOI:
    10.4230/LIPIcs.SoCG.2024.21 - link to the publication