Last modified: 14, August 2024.
Journal Publications
In English.
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Marcos E. Valle, Wington L. Vital, Guilherme Vieira:
Universal Approximation Theorem for Vector- and Hypercomplex-Valued Neural Networks,
Accepted for publication in Neural Networks,
August 2024.
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Marcos E. Valle:
Understanding Vector-Valued Neural Networks and Their Relationship with Real and Hypercomplex-Valued Neural Networks,
Accepted for publication in IEEE Signal Processing Magazine,
June 2024.
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A.S. dos Santos and M.E. Valle:
Max-C and Min-D Projection Auto-Associative Fuzzy Morphological Memories: Theory and an Application for Face Recognition,
AppliedMath,
Volume 3, Issue 4, December 2023. Pages(s): 989-1018.
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R.M. Garimella, M.E. Valle, G. Vieira, A. Rayala, D. Munugoti :
Vector-Valued Hopfield Neural Networks and Distributed Synapse Based Convolutional and Linear Time-Variant Associative Memories,
Neural Process Letters,
Volume 55, August 2023. Pages(s): 4163–4182.
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M.E. Valle, S. Francisco, M.A. Granero, S. Velasco-Forero:
Irregularity Index for Vector-Valued Morphological Operators,
Journal of Mathematical Imaging and Vision,
Volume 64, September 2022. Pages(s): 754 - 770.
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G. Vieira and M.E. Valle:
A general framework for hypercomplex-valued extreme learning machines,
Journal of Computational Mathematics and Data Science,
Volume 3, June 2022. Article 100032.
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M.E. Valle and R.A. Lobo:
Hypercomplex-valued recurrent correlation neural networks,
Neurocomputing,
Volume 432, April 2021. Pages(s): 111 - 123.
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M.E. Valle and R.A. Lobo:
Quaternion-valued recurrent projection neural networks on unit quaternions,
Theoretical Computer Science,
Volume 843, December 2020, Pages 136-152.
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M.E. Valle:
Reduced dilation-erosion perceptron for binary classification,
Mathematics,
Volume 8, Issue 4, April 2020. Article 512.
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I.D.B. Silva, M.E. Valle, L.C Barros and J.F.C.A. Meyer:
A wildfire warning system applied to the state of Acre in the Brazilian Amazon,
Applied Soft Computing,
Volume 89, April 2020. Article 106075.
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F.Z. Castro and M.E. Valle:
A broad class of discrete-time hypercomplex-valued Hopfield neural networks,
Neural Networks,
Volume 122, February 2020. Page(s): 54-67.
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A.C. Souza and M.E. Valle:
Generalized Exponential Bidirectional Fuzzy Associative Memory with Fuzzy Cardinality-Based Similarity Measures Applied to Face Recognition,
TEMA (São Carlos),
Volume 19, Issue 2, May/August 2018. Pages(s): 221 - 233.
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M.E. Valle and F.Z. Castro:
On the Dynamics of Hopfield Neural Networks on Unit Quaternions,
IEEE Transactions on Neural Networks and Learning Systems,
Volume 29, Issue 6, June 2018. Pages(s): 2464 - 2471.
Click here to download a zip file with GNU Octave source codes used in the computational experiments.
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A.S. dos Santos and M.E. Valle:
Max-plus and min-plus projection autoassociative morphological memories and their compositions for pattern classification,
Neural Networks,
Volume 100, April 2018. Pages(s): 84 - 94.
Click here to download a zip file with GNU Octave source codes used in the computational experiments.
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A.S. Santos and M.E. Valle:
The Class of Max-C Projection Autoassociative Fuzzy Memories,
Mathware and Soft Computing Magazine,
Volume 24, Issue 2, December 2017. Pages(s): 63 - 73.
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M.E. Valle and R.A. Valente:
Mathematical Morphology on the Spherical CIELab Quantale with an Application in Color Image Boundary Detection,
Journal of Mathematical Imaging and Vision,
Volume 57, Issue 2, February 2017. Pages(s): 183 - 201.
Click here to download a GNU Octave/MATLAB subroutine implementing the operations of erosion, dilation, opening, closing, and the achromatic morphological gradient. The zip file also contains some codes used in the computational experiments.
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H. Cremasco, D. Borsato, K.G. Angilelli, O.F. Galão, E. Bona, and M.E. Valle:
Application of self-organising maps towards segmentation of soybean samples by determination of inorganic compounds content,
Journal of the Science of Food and Agriculture,
Volume 96, Issue 1, February 2015. Pages(s): 306 - 310.
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M.E. Valle and A.C. Souza:
On the Recall Capability of Recurrent Exponential Fuzzy Associative Memories Based on Similarity Measures,
Mathware and Soft Computing Magazine,
Volume 22, Issue 1, June 2015. Pages(s): 33 - 39.
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M.E. Valle and F. Sakuray:
On the criteria for receiving a research productivity fellowship from the Brazilian National Council for Scientific and Technological Development in Mathematics,
TEMA (São Carlos),
Volume 15, Issue 3, Sept./December 2014. Pages(s): 237 - 248.
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M.E. Valle:
Complex-Valued Recurrent Correlation Neural Networks,
IEEE Transactions on Neural Networks and Learning Systems,
Volume 25, Issue 09, September 2014. Page(s): 1600 - 1612.
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M.E. Valle:
A Robust Subspace Projection Autoassociative Memory Based on the M-Estimation Method,
IEEE Transactions on Neural Networks and Learning Systems,
Volume 25, Issue 07, July 2014. Page(s): 1372 - 1377.
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M.E. Valle and P. Sussner:
Quantale-based autoassociative memories with an application to the storage of color images,
Pattern Recognition Letters,
Volume 34, Issue 14, October 2013. Page(s): 1589 - 1601.
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K. Spacino, H. Silva, K. Angilelli, E. Silva, I. Moreira, M.(E. Valle) Mesquita, D. Borsato:
Using Self-organizing Maps as a Chemometric Tool for Alcohol Classification by Distillery,
International Journal of Environment and Bioenergy,
Volume 8, Issue 1, October 2013. Pages(s): 1 - 11.
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M.E. Valle and R.V. Costa:
Brouwerian Autoassociative Morphological Memories and Their Relation to Traditional and Sparsely Connected Autoassociative Morphological Memories,
Mathware and Soft Computing Magazine,
Volume 20, Issue 1, June 2013. Pages(s): 35 - 41.
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M.E. Valle and D.M. Grande Vicente:
Sparsely Connected Autoassociative Lattice Memories with an Application for the Reconstruction of Color Images,
Journal of Mathematical Imaging and Vision,
Volume 44, Issue 3, November 2012. Page(s): 195 - 222.
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M.E. Valle and P. Sussner:
Storage and Recall Capabilities of Fuzzy Morphological Associative Memories with Adjunction-Based Learning,
Neural Networks,
Volume 24, Issue 1, January 2011. Page(s): 75-90.
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M.E. Valle:
Sparsely Connected Autoassociative Fuzzy Implicative Memories and Their Application for the Reconstruction of Large Gray-Scale Images,
Neurocomputing,
Volume 74, Issue 1-3, December 2010. Page(s): 343-353.
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M.E. Valle:
Permutation-based Finite Implicative Fuzzy Associative Memories,
Information Sciences,
Volume 180, Issue 21, November 2010. Page(s): 4136-4152.
GNU Octave/MATLAB Mex-Files: FiniteIFAMs.zip.
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M.E. Valle:
A Class of Sparsely Connected Autoassociative Morphological Memories for Large Color Images,
IEEE Transactions on Neural Networks,
Volume 20, Issue 6, June 2009. Page(s): 1045 - 1050.
GNU Octave/MATLAB Mex-Files: MultivaluedAMMs.zip.
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P. Sussner and M.E. Valle:
Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality,
Journal of Mathematical Imaging and Vision,
Volume 32, Issue 2, October 2008. Page(s): 139 - 159.
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M.E. Valle and P. Sussner:
A general framework for fuzzy morphological associative memories,
Fuzzy Sets and Systems,
Volume 159, Issue 7, April 2008. Page(s): 747 - 768.
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P. Sussner and M.E. Valle:
Implicative Fuzzy Associative Memories,
IEEE Transactions on Fuzzy Systems,
Volume 14, Issue 6, December 2006. Page(s): 793 - 807.
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P. Sussner and M.E. Valle:
Gray-Scale Morphological Associative Memories,
IEEE Transactions on Neural Networks,
Volume 17, Issue 3, May 2006. Page(s): 559 - 570.
In Portuguese.
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E.L. Esmi and M.E. Valle:
Uma Visão Geral de Algumas Abordagens para Processamento de Dados,
Biomatemática,
Volume 24, Issue 1, 2014. Page(s): 91 - 108.
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R.A. Rosa and M.E. Valle:
Um Estudo da Aplicação de Redes Neurais Auto-Organizáveis para a Identificação Autônoma de Fonemas Portugueses,
RECEN - Revista Ciências Exatas e Naturais,
Volume 14, Issue 2, 2012. Page(s): 198 - 217.
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G.A. Freitas and M.E. Valle:
Uma Breve Comparação de Modelos de Memórias Associativas Fuzzy em Problemas de Guiagem Autônoma,
SEMINA: Ciências Exatas e Tecnológicas,
Volume 32, Issue 2, 2011, Page(s): 151-166.
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R.A. Rosa and M.E. Valle:
Uma Breve Comparação de Técnicas Baseadas na Memória Associativa Nebulosa Implicativa de Lukasiewicz para a Reconstrução de Imagens Corrompidas com Ruído do Tipo Pimenta,
RECEN - Revista Ciências Exatas e Naturais,
Volume 12, Issue 1, 2010. Page(s): 9 - 37.
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A.S. Castilho and M.E. Valle:
Analogia de Sistemas de Regras Nebulosos e Operadores Lineares,
TEMA - Tendências em Matemática Aplicada e Computacional,
Volume 10, Issue 2, 2009, Page(s): 135-144.
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M.E. Valle and P. Sussner:
Memórias Associativas Nebulosas Baseadas em Normas Triangulares Arquimedianas,
Learning and Nonlinear Models,
Volume 4, Issue 1, 2006, Page(s): 13-23.