Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Statistical learning for Markovian dependent data

2016/23/N/ST1/01355

Keywords:

Markov chains empirical processes statistical learning entropy exponential inequalities

Descriptors:

  • ST1_13: Probability and statistics
  • ST6_11: Machine learning, statistical data processing and applications using signal processing (e.g. speech, image, video)

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie, Wydział Fizyki i Informatyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Gabriela Ciołek 

Number of co-investigators in the project: 2

Call: PRELUDIUM 12 - announced on 2016-09-15

Amount awarded: 61 900 PLN

Project start date (Y-m-d): 2017-09-22

Project end date (Y-m-d): 2019-09-21

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

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

Equipment purchased [PL]

  1. Laptop MacBook Air (5 500 PLN)

Information in the final report

  • Publication in academic press/journals (2)
  • Articles in post-conference publications (1)
  • Book publications / chapters in book publications (1)
  1. New Bernstein and Hoeffding type inequalities for regenerative Markov chains.
    Authors:
    Gabriela Ciołek, Patrice Bertail
    Academic press:
    ALEA, Latin American Journal of Probability and Mathematical Statistics (rok: 2019, tom: 16, strony: 259-277), Wydawca: Instituto Nacional de Matematica Pura e Aplicada
    Status:
    Published
    DOI:
    10.30757/ALEA.v16-09 - link to the publication
  2. Statistical Learning Based On Markovian Data Maximal Deviation Inequalities and Learning Rates
    Authors:
    Patrice Bertail, Gabriela Ciolek, Stephan Clémençon
    Academic press:
    Annals of Mathematics and Artificial Intelligence (rok: 2019, tom: 87, strony: 45314), Wydawca: Springer Verlag
    Status:
    Accepted for publication
    DOI:
    10.1007/s10472-019-09670-6 - link to the publication
  1. Generalization bounds for minimum volume set estimation based on Markovian data.
    Authors:
    P. Bertail, G. Ciołek, S. Clémençon.
    Conference:
    International Symposium on Artificial Intelligence and Mathematics (rok: 2018, ), Wydawca: International Symposium on Artificial Intelligence and Mathematics Book Proceedings
    Data:
    konferencja 3.01-5.01
    Status:
    Published
  1. Robust estimation for Markov chains with application to PDMP.
    Authors:
    P. Bertail, G. Ciołek, C. Tillier
    Book:
    Statistical Inference for Piecewise-Deterministic Markov Processes. (rok: 2018, tom: 1, strony: 107-146), Wydawca: Wiley
    Status:
    Published

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