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Multi-Valued and Universal Binary Neurons
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In the citing paper
“This algorithm marked the commencement of the Deep Learning (DL) discipline, though the term only started to be used in the 1980s in the general context of ML, and in the year 2000 in the specific context of NNs [9].”
From A comprehensive survey on machine learning for networking: Evolution, applications and research opportunities (2018) · cites this paper as [9]
In the citing paper
“At the same time, the popularity of DL increased significantly after the term “deep learning” was first introduced in the context of NNs in 2000 [9].”
From A comprehensive survey on machine learning for networking: Evolution, applications and research opportunities (2018) · cites this paper as [9]
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Items 101–174 of 174
System identification and modelling based on a double modified multi-valued neural network
Grasso, F., Luchetta, A., Manetti, S., et al. (2013) · Analog Integrated Circuits and Signal Processing · doi:10.1007/s10470-013-0211-y · Cited by 4
A new multi-valued neural network for the extraction of lumped models of analog circuits
Grasso, F., Luchetta, A., Manetti, S., et al. (2011) · Analog Integrated Circuits and Signal Processing · doi:10.1007/s10470-011-9733-3 · Cited by 4
Nikkhah, E., Fernandes, A. C., & Caprace, J. (2023) · Journal of Marine Science and Engineering · doi:10.3390/jmse11112194 · Cited by 4
Pattern stability on complex-valued associative memory by local iterative learning scheme
Yamamoto, H., Isokawa, T., Nishimura, H., et al. (2012) · doi:10.1109/scis-isis.2012.6505125 · Cited by 3
Complex valued neural network modelling of the balun of a biconical antenna
Bonci, A., Carobbi, C. F. M., & Luchetta, A. (2014) · doi:10.1109/isemc.2014.6899024 · Cited by 3
LUPU-Net: a new improvement proposal for encoder-decoder architecture
Arpacı, S. A., & VARLI, S. (2021) · International Advanced Researches and Engineering Journal · doi:10.35860/iarej.939243 · Cited by 3
Kalgaonkar, P., & El‐Sharkawy, M. (2023) · Journal of Low Power Electronics and Applications · doi:10.3390/jlpea13030049 · Cited by 3
TTK: A toolkit for Tunisian linguistic analysis
Mekki, A., Zribi, I., Ellouze, M., et al. (2024) · Computer Speech & Language · doi:10.1016/j.csl.2023.101617 · Cited by 3
Multi-valued and Universal Binary Neurons: New Applications in Intelligent Image Processing
Aizenberg, I. N. (2001) · Lecture notes in computer science · doi:10.1007/3-540-45493-4_46 · Cited by 3
Self-citationComplex-Valued Neurons with Phase-Dependent Activation Functions
Aizenberg, I. N. (2010) · Lecture notes in computer science · doi:10.1007/978-3-642-13232-2_1 · Cited by 3
Self-citationA modified error-correction learning rule for multilayer neural network with multi-valued neurons
Aizenberg, I. N. (2013) · International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2013.6706842 · Cited by 3
Self-citationAizenberg, I. N., & Moraga, C. (2007) · Proceedings/Proceedings - International Symposium on Multiple-Valued Logic · doi:10.1109/ismvl.2007.54 · Cited by 3
Self-citationMapping Decision Diagrams for Multiple-Valued Logic Functions into Threshold Logic Networks
Stanković, M., Stojković, S., & Moraga, C. (2011) · Proceedings/Proceedings - International Symposium on Multiple-Valued Logic · doi:10.1109/ismvl.2011.28 · Cited by 3
Deep Learning: New Engine for the Study of Material Microstructures and Physical Properties
卢, 果. (2019) · Modern Physics · doi:10.12677/mp.2019.96026 · Cited by 3
Mozaffari, A., Azad, N. L., & Fathi, A. (2015) · International Journal of Intelligent Computing and Cybernetics · doi:10.1108/ijicc-11-2014-0046 · Cited by 2
Finite convergence of the learning algorithms for a modified multi-valued neuron
Xu, D., & Liang, S. (2014) · doi:10.1109/ijcnn.2014.6889696 · Cited by 2
Multi-valued neuron with new learning schemes
Wu, S.-F., & Lee, S.-J. (2013) · 2022 International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2013.6707132 · Cited by 2
MVN_CNN and FCNN for endocardial edge detection
Ketout, H., Gu, J. J., & Horne, G. (2011) · Middle East Conference on Biomedical Engineering · doi:10.1109/mecbme.2011.5752102 · Cited by 2
Learning in networks: Complex-valued neurons, pruning, and rule extraction
Żurada, J. M., Aizenberg, I. N., & Mazurowski, M. A. (2008) · International IEEE Conference on Intelligent Systems (IS) · doi:10.1109/is.2008.4670394 · Cited by 2
Self-citationFully Coupled and Feedforward Neural Networks with Complex-Valued Neurons
Żurada, J. M., & Aizenberg, I. N. (2008) · Studies in computational intelligence · doi:10.1007/978-3-540-74930-1_5 · Cited by 2
Self-citationAizenberg, I. N. (2010) · Proceedings/Proceedings - International Symposium on Multiple-Valued Logic · doi:10.1109/ismvl.2010.15 · Cited by 2
Self-citationHow to impede the external manipulation of autonomous cars?
Kiss, G. J. (2022) · Journal of Intelligent & Fuzzy Systems · doi:10.3233/jifs-219277 · Cited by 2
The Role of Artificial Intelligence in Radiation Therapy Treatment Planning: A Comprehensive Review
John, M., & Mina, J. (2025) · Journal of Cancer Treatment and Research · doi:10.11648/j.jctr.20251303.14 · Cited by 1
Arias-Barrera, L. C. (2025) · Revista e-mercatoria · doi:10.18601/16923960.v25n1.08 · Cited by 2
Optimizing ship voyages: a review on gas emissions, fuel consumption, and prediction
Bahrami, N. (2026) · Journal of Ocean Engineering and Marine Energy · doi:10.1007/s40722-026-00469-2 · Cited by 4
Zhou, W., & Żurada, J. M. (2014) · doi:10.1109/ijcnn.2014.6889621 · Cited by 1
Multi-Valued Neuron with a periodic activation function - as part of a multi-layered Neural Network
Lupea, V. M. (2013) · IEEE International Symposium on Applied Machine Intelligence and Informatics (SAMI) · doi:10.1109/sami.2013.6480958 · Cited by 1
Learning Transformations with Complex-Valued Neurocomputing
Nitta, T. (2012) · International Journal of Organizational and Collective Intelligence · doi:10.4018/joci.2012040103 · Cited by 2
A double neural network for interpretation of the frequency response in the electrical equipments
Grasso, F., Luchetta, A., Manetti, S., et al. (2012) · IEEE International Conference on Intelligent Systems · doi:10.1109/is.2012.6335140 · Cited by 1
Identification of improper processes by variable tap-length complex-valued adaptive filters
Ujang, B. C., Took, C. C., & Mandic, D. P. (2010) · 2022 International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2010.5596607 · Cited by 1
“Although much work has been devoted to address the first two issues [1]-[3], model order selection in C is still an open problem.”
BackgroundA class of discrete-time recurrent neural networks with multivalued neurons
Zhou, W., & Żurada, J. M. (2009) · doi:10.1109/ijcnn.2009.5178721 · Cited by 1
Wilson, J. G., & Aizenberg, I. N. (2012) · Cited by 1
Self-citationMethod and Application of Visual Relationship Detection Based on Deep Learning
汤, 婧. (2022) · Journal of Image and Signal Processing · doi:10.12677/jisp.2022.113016 · Cited by 1
Equivalence Classes of Boolean Functions
Stanković, R. S., Stanković, S., Astola, H., et al. (2010) · Synthesis lectures on digital circuits and systems · doi:10.1007/978-3-031-79812-2_1 · Cited by 1
Klęsk, P. (2024) · Applied Sciences · doi:10.3390/app14219972 · Cited by 2
Sentiment Analysis from Tweets using Convolutional Neural Networks
Pek, M., & Turan, M. (2021) · THE JOURNAL OF CIEES · doi:10.48149/jciees.2021.1.1.2 · Cited by 1
“In [11], the authors showed that a multilayer feed forward neural network can be adjusted by a controlled back propagation method in each training it does.”
BackgroundSubgroup Preference Neural Network
Elgharabawy, A., Prasad, M., & Lin, C. (2021) · Sensors · doi:10.3390/s21186104 · Cited by 1
Christine the Murderer Artificial Intelligence
Kiss, G. J. (2022) · International Conference on Control, Decision and Information Technologies (CoDIT) · doi:10.1109/codit55151.2022.9803913 · Cited by 2
Towards Natural Language Understanding using Multimodal Deep Learning
Bös, S. (2017) · Research Repository (Delft University of Technology) · Cited by 1
Schmidhuber, J. (2017) · Springer eBooks · doi:10.1007/978-1-4899-7687-1_909 · Cited by 1
Neural networks regularization through representation learning
Belharbi, S. (2018) · theses.fr (ABES) · doi:10.70675/0e1f98e2zabc7z497bzaf40z433d33a78b60 · Cited by 3
Multi-Valued Neurons: Hebbian and Error-Correction Learning
Aizenberg, I. N. (2011) · Lecture notes in computer science · doi:10.1007/978-3-642-21501-8_5
Self-citationAizenberg, I. N., Myasnikova, E. M., & Samsonova, M. G. (2001) · Lecture notes in computer science · doi:10.1007/3-540-45723-2_26
Self-citationAizenberg, I. N. (2011) · Studies in computational intelligence · doi:10.1007/978-3-642-20206-3_15
Self-citationLuchetta, A., & Manetti, S. (2012) · IEEE International Symposium on Circuits and Systems proceedings · doi:10.1109/iscas.2012.6271811
Lupea, V. M. (2013) · IEEE International Symposium on Computational Intelligence and Informatics (CINTI) · doi:10.1109/cinti.2013.6705189
A hybrid Multi-valued neuron based network for the identification of lumped models
Grasso, F., Luchetta, A., Manetti, S., et al. (2010) · doi:10.1109/sm2acd.2010.5672354
CNN-based language and interpreter for image processing on GPUs
Dolan, R., & DeSouza, G. N. (2011) · International Journal of Parallel Emergent and Distributed Systems · doi:10.1080/17445760.2010.505194
Analog system modeling based on a double modified complex valued neural network
Luchetta, A., Manetti, S., & Piccirilli, M. C. (2013) · 2022 International Joint Conference on Neural Networks (IJCNN) · doi:10.1109/ijcnn.2013.6707136
Testing complex-valued perceptron properties experimentally
Ахметшин, Р. М., Giniyatullin, V. M., Кирлан, С. А., et al. (2013) · Optical Memory and Neural Networks · doi:10.3103/s1060992x13010013
“COMPLEX VALUED NEURON The problem of XOR linear inseparability makes it necessary to complicate the structure of either the neural net (a hidden layer perceptron) or neurons themselves (complex valued neurons [2]).”
Identification of systems for modelling and diagnosis based on a double multi-valued neural network
Grasso, F., Luchetta, A., Manetti, S., et al. (2012) · International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design · doi:10.1109/smacd.2012.6339393
Novel Complex Vauled Neural Networks.
Ahuja, N., & Murthy, G. R. (2006) · CDES
Multi-Valued Neuron with a periodic activation function - learning with negative examples
M, L. V., & Cernăzanu-Glăvan, C. (2014) · doi:10.1109/saci.2014.6840067
Lü, W., Lin, M., & Sun, L. (2009) · Journal of Zhejiang University. Science A · doi:10.1631/jzus.a0820238
Soft Computing Methods for Prediction of Replication Origins in Caudoviruses
Cruz‐Cano, R., & Aizenberg, I. N. (2008) · Proceedings/Proceedings - International Symposium on Multiple-Valued Logic · doi:10.1109/ismvl.2008.29
Self-citationEffect of Positive Weight Diagonal Elements on MVN Neural Networks in Associative Memory Design
Zhou, W., Xie, Y., Tang, D., et al. (2015) · International Symposium on Computational Intelligence and Design · doi:10.1109/iscid.2015.121
Complex-valued support vector machines based on multi-valued neurons
Shinoda, H., & Hattori, M. (2018) · International Conference on Information and Communications Technology (ICOIACT) · doi:10.1109/icoiact.2018.8350666
Neurocomputing: An Introduction
Tripathi, B. K. (2014) · Studies in computational intelligence · doi:10.1007/978-81-322-2074-9_1
Dutta, N., Sarma, H. K. D., Jadeja, R. B., et al. (2021) · Practical networking · doi:10.1007/978-3-030-46736-4_7
Machine Learning and Other Techniques in Artificial Intelligence
Xia, M. (2023) · Springer eBooks · doi:10.1007/978-981-99-5925-9_2
Chaudhary, M., & Agrawal, H. (2023) · International Conference on Informatics (ICI) · doi:10.1109/ici60088.2023.10421032
“Concept of machine learning in medical imagining [10] Predictive Analytics : Data-driven algorithms as shown in Figure 2, that learn from machine information can analyze the information included in patients' electronic health records, insurance claims, and other sources to determine the likelihood…”
BackgroundAlgebra and Error-Correcting Codes
Alpay, D. (2024) · Chapman mathematical notes · doi:10.1007/978-3-031-51822-5_4
Alpay, D. (2024) · Chapman mathematical notes · doi:10.1007/978-3-031-51822-5_2
Wang, W. (2024) · Springer eBooks · doi:10.1007/978-981-97-5333-8_1
Doria, E., & Morandotti, M. (2024) · Lecture notes in civil engineering · doi:10.1007/978-3-031-71855-7_19
Decision support systems in the diagnosis of urological diseases
Vasilyev, A. O., Говоров, А. В., Arutyunyan, P. A., Kim, Y. A., Sarukhanian, A., & DIu, P. (2024) · Cancer Urology · doi:10.17650/1726-9776-2024-20-3-159-167 · Cited by 3
A Novel Complex Encoder Transformation MLMVN Framework for Marine Vessels Detection Using SAR Images
Dashondhi, G. K., Sharma, S., Dasaundhi, G., Arun, P. V., Bhardwaj, A., & Buddhiraju, K. M. (2025) · Journal of the Indian Society of Remote Sensing · doi:10.1007/s12524-025-02122-1
Rahman, A., Daoud, G., Shirif, E., et al. (2025) · Petroleum Research · doi:10.1016/j.ptlrs.2025.08.007
Pouilly-Cathelain, M. (2020) · theses.fr (ABES) · doi:10.70675/ee63a4dbzd95cz4971zb16czd660ee807250
Yankol‐Schalck, M. (2022) · theses.fr (ABES) · doi:10.70675/539531e4za6a6z4a53za634z00fcd670513f
A Review of Machine Learning Applications in Monitoring Data Processing for Underground Engineering
Li, M., Zhang, Y., Wang, Y., & Wang, Y. (2026) · Buildings · doi:10.3390/buildings16163285
Novel Complex-Valued Neural Networks with Magnitude and Phase Quantization
Murthy, G. R., Mayukha, M., Veeramachaneni, S. D., & Valle, M. E. (2026) · International Conference on Emerging Techniques in Computational Intelligence (ICETCI) · doi:10.1109/icetci71772.2026.11710683
“The quantified nature of the output of a neuron with the complex-signum function allowed the development of multistate neurons, where the state of each neuron is based on the phase quantization [5], [20]–[23].”
Metadata
- Authors
- Aizenberg, I. N., Aizenberg, N. N., & Vandewalle, J.
- Affiliations
- KU Leuven (BE)
- Venue
- Springer eBooks
- Publisher
- Springer US
- Published
- 2000
- OpenAlex
- W2487295360
- Cited by
- 171
- References
- 0
- Citations by year
- 2026: 3 · 2025: 6 · 2024: 9 · 2023: 5 · 2022: 11 · 2021: 7 · 2020: 7 · 2019: 6 · 2018: 10 · 2017: 4 · 2016: 1 · 2015: 3 · 2014: 10 · 2013: 14 · 2012: 13
- FWCI
- 1.32
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Springer eBooks (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Neural Networks and Applications
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Memory and Neural Computing
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Keywords
- multi-valued neurons, complex arithmetic, artificial neural networks, neuron models
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