Banca de DEFESA: DRAHCIR ALEXANDER BLANCO GARCIA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : DRAHCIR ALEXANDER BLANCO GARCIA
DATE: 29/06/2023
TIME: 09:00
LOCAL: Sala 12 da Pós-Graduação do Instituto de Matemática
TITLE:

ASYMMETRIC FUBINI-STUDY METRIC ON THE TOTAL GRASSMANNIAN

KEY WORDS:

Grassmannian; asymmetric metric; Fubini-Study; angles between subspaces; Grassmann algebra

PAGES: 61
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Geometria e Topologia
SPECIALTY: Geometria Diferencial
SUMMARY:

There are several applications for metrics on Grassmannians, such as machine learning, wireless communication, and computer vision. However, computing the distances between subspaces of different dimensions presents challenges, especially due to the dimensional asymmetry of these subspaces. Therefore, it is necessary to use asymmetric metrics to deal with this situation. In this work, we extend the Fubini-Study metric as an asymmetric angle, which has useful properties and is easy to compute.

COMMITTEE MEMBERS:
Presidente - 1675542 - ANDRE LUIS GODINHO MANDOLESI
Interno - 1061349 - BENIGNO OLIVEIRA ALVES
Externo ao Programa - 3298025 - PERFILINO EUGENIO FERREIRA JUNIOR - UFBA