Banca de DEFESA: RAFAEL POLLI CARNEIRO

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : RAFAEL POLLI CARNEIRO
DATE: 15/12/2023
TIME: 16:00
LOCAL: https://conferenciaweb.rnp.br/sala/cristian-2
TITLE:

Limit theorems for persistence homoology and an application.

PAGES: 156
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

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.

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 1604159 - CRISTIAN FAVIO COLETTI
Membro Titular - Examinador(a) Externo ao Programa - 1544346 - JEFERSON CASSIANO
Membro Titular - Examinador(a) Externo à Instituição - ALEXSANDRO GIACOMO GRIMBERT GALLO
Membro Titular - Examinador(a) Externo à Instituição - ANATOLI YAMBARTSEV
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 - 1574165 - DANIEL MIRANDA MACHADO
Membro Suplente - Examinador(a) Externo ao Programa - 3356203 - LEONEL ZUAZNABAR MOLINER
Membro Suplente - Examinador(a) Externo à Instituição - GLEICIANE DA SILVA ARAGÃO - UNIFESP
Membro Suplente - Examinador(a) Externo à Instituição - PABLO MARTIN RODRIGUEZ