High dimensional mean estimation - Lecture 2 | Vidéo | Carmin.tv

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High dimensional mean estimation - Lecture 2

By Gábor Lugosi

Appears in collection : Meeting in Mathematical Statistics - Machine learning and nonparametric statistics / Rencontres de statistique mathématique

Networks are often naturally modeled by random processes in which nodes and edges of the network are added one-by-one, according to some simple stochastic dynamics. Uniform and preferential attachment processes are prime examples of such dynamically growing networks. The statistical problems we address in this talk regard discovering the past of the network when a present-day snapshot is observed. Such problems are sometimes termed 'network archeology'. We present a few results that show that, even in gigantic networks, a lot of information is preserved from the very early days. As the field is still in its infancy, many interesting questions remain to be explored.

Information about the video

Date of recording 16/12/2021
Date of publication 14/01/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19867803
Cite this video Lugosi, Gábor (16/12/2021). High dimensional mean estimation - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19867803
URL https://dx.doi.org/10.24350/CIRM.V.19867803

Domain(s)

Bibliography

DEVROYE, Luc, LERASLE, Matthieu, LUGOSI, Gabor, et al. Sub-Gaussian mean estimators. The Annals of Statistics, 2016, vol. 44, no 6, p. 2695-2725. - https://doi.org/10.1214/16-AOS1440
LUGOSI, Gábor et MENDELSON, Shahar. Sub-Gaussian estimators of the mean of a random vector. The annals of statistics, 2019, vol. 47, no 2, p. 783-794. - https://doi.org/10.1214/17-AOS1639
LUGOSI, Gabor et MENDELSON, Shahar. Robust multivariate mean estimation: the optimality of trimmed mean. The Annals of Statistics, 2021, vol. 49, no 1, p. 393-410. - https://doi.org/10.1214/20-AOS1961
LUGOSI, Gabor et MENDELSON, Shahar. Multivariate mean estimation with direction-dependent accuracy. arXiv preprint arXiv:2010.11921, 2020. - https://arxiv.org/abs/2010.11921
LUGOSI, Gábor et MENDELSON, Shahar. Mean estimation and regression under heavy-tailed distributions: A survey. Foundations of Computational Mathematics, 2019, vol. 19, no 5, p. 1145-1190. - https://doi.org/10.1007/s10208-019-09427-x

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