Banca de QUALIFICAÇÃO: MANOEL DO BONFIM LINS DE AQUINO

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
STUDENT : MANOEL DO BONFIM LINS DE AQUINO
DATE: 18/12/2020
TIME: 14:00
LOCAL: Google Meet
TITLE:

Circular Correntropy: Definition, properties and applications

KEY WORDS:

circular correntropy. circular statistics.   correntropy.   directional statistics.

PAGES: 41
BIG AREA: Engenharias
AREA: Engenharia Elétrica
SUMMARY:

Circular statistics has been applied to several areas of knowledge in which the input data is circular. Noisy measurements are still a problem in circular data applications and, like non-circular data, second-order statistics have some limitations to deal with non-Gaussian noise. Recently, a similarity function called correntropy has been successfully employed in applications involving impulsive noise for being capable of extracting more information than second-order methods. However, correntropy has not been studied from the perspective of circular data so far. This thesis defines a novel statistical measure called circular correntropy (CC). It uses the von  Mises  density  function in order to redefine correntropy in this domain. In particular, it is proved analytically that the CC contains information regarding second-order and higher-order moments, being a generalization of the circular correlation measure. Its properties are studied as well as a new recursive solution for the Maximum Circular Correntropy Criterion (MCCC). The performance of this new similarity measure is evaluated as a cost function in a nonlinear regression problem, where the signals are contaminated with additive impulsive noise. The simulations demonstrate that the CC is more robust than circular correlation in impulsive noise environments.

BANKING MEMBERS:
Presidente - 2579664 - ALLAN DE MEDEIROS MARTINS
Interno - 347628 - ADRIAO DUARTE DORIA NETO
Externo ao Programa - 2757086 - JOILSON BATISTA DE ALMEIDA REGO