Topological data analysis is a branch of computational topology which uses algebra to obtain topological features from a data set. It has many applications in computer vision, shape description, time series analysis, biomedicine, drug design... The first step to learn topological information from data is to build a filtration of...
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July 6, 2021 (v1)PublicationUploaded on: March 25, 2023
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March 1, 2022 (v1)Publication
La homología persistente es una técnica que se usa para analizar la evolución de una cierta propiedad algebraica, la homología, sobre un espacio topológico que se construye paso a paso. Los resultados de la homología persistente varían según la elección de coefi cientes que usemos para su cálculo. La homología persistente con coefi cientes en...
Uploaded on: March 25, 2023 -
July 12, 2024 (v1)Publication
Machine learning algorithms are fundamental components of novel data-informed Artificial Intelligence architecture. In this domain, the imperative role of representative datasets is a cornerstone in shaping the trajectory of artificial intelligence (AI) development. Representative datasets are needed to train machine learning components...
Uploaded on: July 13, 2024 -
July 17, 2024 (v1)Publication
In recent years, Deep Learning has gained popularity for its ability to solve complex classification tasks, increasingly delivering better results thanks to the development of more accurate models, the availability of huge volumes of data and the improved computational capabilities of modern computers. However, these improvements in performance...
Uploaded on: July 18, 2024