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09/14/2023
Understanding Vector-Valued Neural Networks and Their Relationship with Real and Hypercomplex-Valued Neural Networks
Despite the many successful applications of deep learning models for mul...
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06/30/2023
Shortest Length Total Orders Do Not Minimize Irregularity in Vector-Valued Mathematical Morphology
Mathematical morphology is a theory concerned with non-linear operators ...
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09/06/2022
Extending the Universal Approximation Theorem for a Broad Class of Hypercomplex-Valued Neural Networks
The universal approximation theorem asserts that a single hidden layer n...
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05/26/2022
Acute Lymphoblastic Leukemia Detection Using Hypercomplex-Valued Convolutional Neural Networks
This paper features convolutional neural networks defined on hypercomple...
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12/13/2021
Quaternion-Valued Convolutional Neural Network Applied for Acute Lymphoblastic Leukemia Diagnosis
The field of neural networks has seen significant advances in recent yea...
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12/13/2021
On the Dynamics of Hopfield Neural Networks on Unit Quaternions
In this paper, we first address the dynamics of the elegant multi-valued...
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07/12/2021
Least-Squares Linear Dilation-Erosion Regressor Trained using Stochastic Descent Gradient or the Difference of Convex Methods
This paper presents a hybrid morphological neural network for regression...
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01/15/2021
A General Framework for Hypercomplex-valued Extreme Learning Machines
This paper aims to establish a framework for extreme learning machines (...
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11/11/2020
Linear Dilation-Erosion Perceptron Trained Using a Convex-Concave Procedure
Mathematical morphology (MM) is a theory of non-linear operators used fo...
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11/11/2020
Linear Dilation-Erosion Perceptron for Binary Classification
In this work, we briefly revise the reduced dilation-erosion perceptron ...
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09/18/2020
Ensemble of Binary Classifiers Combined Using Recurrent Correlation Associative Memories
An ensemble method should cleverly combine a group of base classifiers t...
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03/04/2020
Reduced Dilation-Erosion Perceptron for Binary Classification
Dilation and erosion are two elementary operations from mathematical mor...
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01/31/2020
Hypercomplex-Valued Recurrent Correlation Neural Networks
Recurrent correlation neural networks (RCNNs), introduced by Chiueh and ...
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01/30/2020
Quaternion-Valued Recurrent Projection Neural Networks on Unit Quaternions
Hypercomplex-valued neural networks, including quaternion-valued neural ...
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09/19/2019
An Introduction to Quaternion-Valued Recurrent Projection Neural Networks
Hypercomplex-valued neural networks, including quaternion-valued neural ...
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02/14/2019
A Broad Class of Discrete-Time Hypercomplex-Valued Hopfield Neural Networks
In this paper, we address the stability of a broad class of discrete-tim...
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02/11/2019
