Robustness Aspects of Optimal Transport

Ronchetti, Elvezio

doi:10.1007/978-981-99-0803-5

Book chapter

English

Robustness Aspects of Optimal Transport

ContributorsRonchetti, Elvezio

Published inLiu, Y & Hirukawa, J. & Kakizawa, Y. (Ed.), Research Papers in Statistical Inference for Time Series and Related Models, p. 445-453

PublisherSingapore : Springer Nature

EditionSpringer Nature

Publication date2023

Abstract

Optimal transportation is a flourishing area of research and applications in many different fields. We provide an overview of the stability issues related to the use of these techniques by means of a structured discussion of different results available in the literature, which have been developed to face these problems. We point out that important open problems still remain in order to achieve a complete theory of robust optimal transportation.

Keywords

Optimal transport
Penalization
Robust statistics
Trimming
Wasserstein distance

Affiliation entities

Faculté d'économie et de management / Research Center for Statistics

Citation (ISO format)

RONCHETTI, Elvezio. Robustness Aspects of Optimal Transport. In: Research Papers in Statistical Inference for Time Series and Related Models. Liu, Y & Hirukawa, J. & Kakizawa, Y. (Ed.). Singapore : Springer Nature, 2023. p. 445–453. doi: 10.1007/978-981-99-0803-5

Book chapter (Published version)

Identifiers

PID : unige:170462
DOI : 10.1007/978-981-99-0803-5

ISBN978-981-99-0802-8

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1downloads

Creation22/07/2023 10:22:28

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Robustness Aspects of Optimal Transport

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