Banca de QUALIFICAÇÃO: RAFAEL POLLI CARNEIRO

Uma banca de QUALIFICAÇÃO de DOUTORADO foi cadastrada pelo programa.
DISCENTE : RAFAEL POLLI CARNEIRO
DATA : 11/08/2021
HORA: 14:00
LOCAL: UFABC
TÍTULO:

The study of point processes using topological data analysis and applications 

PÁGINAS: 156
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Matemática
RESUMO:

We live in an age where technology has been increasingly growing over
over the years. Such development is so fast that one can regard this
century as the age of information. Given the countless amount of data
being produced continuously, many researchers have been showing concern
to come up with new techniques to tackle all this data and to extract
as much information as possible - hidden through its complexity.

Among some of these new techniques being developed, Persistent Homology
shows to be a promising way to handle the geometric patterns hidden all
over the data. This is so, given that Persistent Homology makes use of
the field of Simplicial Homology to spotlight the patterns of data. With
that in mind, the core of our analysis will be based on making use of
this field of Topological Data Analysis.

So far, we have worked basically on two problems. Firstly, we have
studied a specific class of non stationary point processes and proposed
some convergences on some of its persistent features. Finally, we
started studying the behavior of Fake news on Twitter, applying
Persistent Homology on the graph made of all tweets
collected to detect its patterns.

MEMBROS DA BANCA:
Presidente - Interno ao Programa - 1604159 - CRISTIAN FAVIO COLETTI
Membro Titular - Examinador(a) Interno ao Programa - 1574165 - DANIEL MIRANDA MACHADO
Membro Titular - Examinador(a) Externo à Instituição - NATALIA ANDREA VIANA BEDOYA - UFSCAR
Membro Suplente - Examinador(a) Interno ao Programa - 2391988 - ERIKA ALEJANDRA RADA MORA
Membro Suplente - Examinador(a) Interno ao Programa - 1675735 - MARIANA RODRIGUES DA SILVEIRA