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Homología persistente de redes complejas
- Autor/a
- Penide Calvo, Gabriel
Topological data and complex structure analysis with a high number of
interdependent units have become one of the most active branches of
mathematics. Nowadays, huge quantities of data are handled, and so
the discovery of new types of networks in biology, computing and
social science has led to the development of newfangled processing
techniques so as to reveal the underlying topological structures.
Persistent homology is one of these techniques and allows the
identification of relevant topological properties within a data cloud
or the codification of a graph in order to dismiss noisy features or
the ones that do not survive to a more refined analysis. Basic
definitions are introduced to deal with persistent homology, as well
as certain diagrams, known as barcodes, which help on
the visualization of those topological features that persist through
time, and some applications are given to study different types of
graphs in complex network analysis.
Data sheet
- Edition
- 1
- Publication place
- Santiago de Compostela
- Editorial
- Universidade de Santiago de Compostela. Servizo de Publicacións e Intercambio Científico
- Publication Year
- 01/03/2018
- File Size
- 2.3 MB
- Serie
- 132b Publicaciones del Departamento de Geometría y Topología
- Availability
- Si
Topological data and complex structure analysis with a high number of
interdependent units have become one of the most active branches of
mathematics. Nowadays, huge quantities of data are handled, and so
the discovery of new types of networks in biology, computing and
social science has led to the development of newfangled processing
techniques so as to reveal the underlying topological structures.
Persistent homology is one of these techniques and allows the
identification of relevant topological properties within a data cloud
or the codification of a graph in order to dismiss noisy features or
the ones that do not survive to a more refined analysis. Basic
definitions are introduced to deal with per...