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06/04/2023
A Topological Approach to Measuring Training Data Quality
Data quality is crucial for the successful training, generalization and ...
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05/29/2023
Explainability in Simplicial Map Neural Networks
Simplicial map neural networks (SMNNs) are topology-based neural network...
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10/26/2021
Emotion recognition in talking-face videos using persistent entropy and neural networks
The automatic recognition of a person's emotional state has become a ver...
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12/19/2019
Towards a Philological Metric through a Topological Data Analysis Approach
The canon of the baroque Spanish literature has been thoroughly studied ...
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07/26/2019
Two-hidden-layer Feedforward Neural Networks are Universal Approximators: A Constructive Approach
It is well known that Artificial Neural Networks are universal approxima...
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04/11/2019
Topological signature for periodic motion recognition
In this paper, we present an algorithm that computes the topological sig...
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03/20/2019
Representative Datasets: The Perceptron Case
One of the main drawbacks of the practical use of neural networks is the...
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01/03/2018
Topological Tracking of Connected Components in Image Sequences
Persistent homology provides information about the lifetime of homology ...
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01/18/2017
Persistent Entropy for Separating Topological Features from Noise in Vietoris-Rips Complexes
Persistent homology studies the evolution of k-dimensional holes along a...
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05/23/2011
A Tool for Integer Homology Computation: Lambda-At Model
In this paper, we formalize the notion of lambda-AT-model (where λ is a ...
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05/23/2011
On the Cohomology of 3D Digital Images
We propose a method for computing the cohomology ring of three--dimensio...
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05/20/2011
Cubical Cohomology Ring of 3D Photographs
Cohomology and cohomology ring of three-dimensional (3D) objects are top...
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05/18/2011