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Artículo
An entropy-based persistence barcode
(2015)
In persistent homology, the persistence barcode encodes pairs of simplices meaning birth and death of homology classes. Persistence barcodes depend on the ordering of the simplices (called a filter) of the given simplicial ...
Artículo
Topological signature for periodic motion recognition
(Cornell University, 2019)
In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such signature consists of a vector obtained by persistent homology which captures the topological and ...
Artículo
A new entropy based summary function for topological data analysis
(Elsevier, 2018)
Topological data analysis (TDA) aims to obtain useful information from data sets using topological concepts. In particular, it may help to infer from nite sample when a con guration space is a manifold. So far, there ...
Artículo
An application for gait recognition using persistent homology
(Universidad de Sevilla, 2013)
This Demo presents an application for gait recognition using persistent homology. Using a background subtraction approach, a silhouette sequence is obtained from a camera in a controlled environment. A border simplicial ...
Artículo
Emotion recognition in talking-face videos using persistent entropy and neural networks
(American Institute of Mathematical Sciences (AIMS), 2022)
The automatic recognition of a person’s emotional state has become a very active research field that involves scientists specialized in different areas such as artificial intelligence, computer vi sion, or psychology, ...
Artículo
Topological tracking of connected components in image sequences
(Elsevier, 2018)
Persistent homology provides information about the lifetime of homology classes along a filtration of cell complexes. Persistence barcode is a graphi- cal representation of such information. A filtration might be determined ...
Artículo
Persistent entropy for separating topological features from noise in vietoris-rips complexes
(Springer, 2019)
Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representing birth and death times of k-dimensional ...
Artículo
A new topological entropy-based approach for measuring similarities among piecewise linear functions
(Elsevier, 2017)
In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for addressing the comparison between discrete piecewise linear functions. The comparison is certi ed by the ...