MPEG: a video compression standard for multimedia applications
Communications of the ACM - Special issue on digital multimedia systems
Modified Hebbian learning for curve and surface fitting
Neural Networks
Backpropagation and unsupervised learning in linear networks
Backpropagation
Statistical Pattern Recognition: A Review
IEEE Transactions on Pattern Analysis and Machine Intelligence
Antidromic Spikes Drive Hebbian Learning in an Artificial Dendritic Tree
Analog Integrated Circuits and Signal Processing - Special issue on Learning on Silicon
An Experimental Comparison of Three PCA Neural Networks
Neural Processing Letters
Sequential Extraction of Minor Components
Neural Processing Letters
Neural methods for antenna array signal processing: a review
Signal Processing
Modified Oja‘s Algorithms For Principal Subspace and Minor Subspaceextraction
Neural Processing Letters
Unsupervised learning in neural computation
Theoretical Computer Science - Natural computing
Products of Gaussians and probabilistic minor component analysis
Neural Computation
A Dynamics of the Hough Transform and Artifical Neural Networks
MLDM '99 Proceedings of the First International Workshop on Machine Learning and Data Mining in Pattern Recognition
PCA-Based Model Selection and Fitting for Linear Manifolds
MLDM '01 Proceedings of the Second International Workshop on Machine Learning and Data Mining in Pattern Recognition
Artificial Neural Network Learning: A Comparative Review
SETN '02 Proceedings of the Second Hellenic Conference on AI: Methods and Applications of Artificial Intelligence
Development of a fine-grained parallel Karhunen-Loève transform
Journal of Parallel and Distributed Computing
Adaptive algorithms for first principal eigenvector computation
Neural Networks
Iterative Kernel Principal Component Analysis for Image Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear Complex-Valued Extensions of Hebbian Learning: An Essay
Neural Computation
On Convergence Conditions of an Extended Projection Neural Network
Neural Computation
An Extended Projection Neural Network for Constrained Optimization
Neural Computation
Theoretical Computer Science
A power-based adaptive method for eigenanalysis without square-root operations
Digital Signal Processing
Global Convergence of a PCA Learning Algorithm with a Constant Learning Rate
Computers & Mathematics with Applications
Convergence analysis of the OJAn MCA learning algorithm by the deterministic discrete time method
Theoretical Computer Science
Learning Image Components for Object Recognition
The Journal of Machine Learning Research
A trend pattern assessment approach to microarray gene expression profiling data analysis
Pattern Recognition Letters
Adaptive Behavior - Animals, Animats, Software Agents, Robots, Adaptive Systems
Neuronal principal component analysis for an optimal representation of multispectral images
Intelligent Data Analysis
A fuzzy logic-based method for outliers detection
AIAP'07 Proceedings of the 25th conference on Proceedings of the 25th IASTED International Multi-Conference: artificial intelligence and applications
Multiplicative updates for non-negative projections
Neurocomputing
Associative memory with uncorrelated inputs
Neural Computation
Influence function analysis of pca and bcm learning
Neural Computation
Non-negative sparse coding shrinkage for image denoising using normal inverse Gaussian density model
Image and Vision Computing
A stable MCA learning algorithm
Computers & Mathematics with Applications
Evaluation of preliminary data analysis framework in software cost estimation based on ISBSG R9 Data
Software Quality Control
Belief Combination for Uncertainty Reduction in Microarray Gene Expression Pattern Analysis
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part III: ICCS 2007
Concise Coupled Neural Network Algorithm for Principal Component Analysis
ISNN '08 Proceedings of the 5th international symposium on Neural Networks: Advances in Neural Networks
Learning schemes in using PCA neural networks for image restoration purposes
WSEAS Transactions on Information Science and Applications
An Efficient Adaptive Minor Subspace Extraction Using Exact Nested Orthogonal Complement Structure
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
A unified learning algorithm to extract principal and minor components
Digital Signal Processing
Dimension Reduction and Data Visualization Using Neural Networks
Proceedings of the 2007 conference on Emerging Artificial Intelligence Applications in Computer Engineering: Real Word AI Systems with Applications in eHealth, HCI, Information Retrieval and Pervasive Technologies
Analysis of Time Series Novelty Detection Strategies for Synthetic and Real Data
Neural Processing Letters
IEEE Transactions on Signal Processing
Fuzzy peer groups for reducing mixed Gaussian-impulse noise from color images
IEEE Transactions on Image Processing
A Self-Stabilizing Neural Algorithm for Total Least Squares Filtering
Neural Processing Letters
Families of orthonormalization algorithms
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
A robust and globally convergent PCA learning algorithm
Control and Intelligent Systems
Linear mltilayer ICA using adaptive PCA
Neural Processing Letters
Uncontrolled face recognition by individual stable neural network
PRICAI'06 Proceedings of the 9th Pacific Rim international conference on Artificial intelligence
Medial set, boundary, and topology of random point sets
Proceedings of the 11th international conference on Theoretical foundations of computer vision
Detecting the boundary curve of planar random point set
MLDM'03 Proceedings of the 3rd international conference on Machine learning and data mining in pattern recognition
A family of fuzzy learning algorithms for robust principal component analysis neural networks
IEEE Transactions on Fuzzy Systems
Resolution enhancement in ΣΔ learners for superresolution source separation
IEEE Transactions on Signal Processing
Mutual interdependence analysis (MIA)
ICA'07 Proceedings of the 7th international conference on Independent component analysis and signal separation
Combining heterogeneous classifiers for network intrusion detection
ASIAN'07 Proceedings of the 12th Asian computing science conference on Advances in computer science: computer and network security
A constrained optimization approach for an adaptive generalized subspace tracking algorithm
Computers and Electrical Engineering
On the discrete-time dynamics of a class of self-stabilizing MCA extraction algorithms
IEEE Transactions on Neural Networks
Linear and nonlinear projective nonnegative matrix factorization
IEEE Transactions on Neural Networks
A self-stabilizing MSA algorithm in high-dimension data stream
Neural Networks
Computers & Mathematics with Applications
A principal components analysis neural gas algorithm for anomalies clustering
WSEAS TRANSACTIONS on SYSTEMS
Adaptive multiple minor directions extraction in parallel using a PCA neural network
Theoretical Computer Science
Regression on Fixed-Rank Positive Semidefinite Matrices: A Riemannian Approach
The Journal of Machine Learning Research
A geometrical method of diffuse and specular image components separation
IWANN'11 Proceedings of the 11th international conference on Artificial neural networks conference on Advances in computational intelligence - Volume Part II
Fast adaptive algorithms for minor component analysis using Householder transformation
Digital Signal Processing
Robust beamforming by a globally convergent MCA neural network
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Simulation studies of on-line identification of complex processes with neural networks
ISNN'06 Proceedings of the Third international conference on Advnaces in Neural Networks - Volume Part II
Dynamical system for computing largest generalized eigenvalue
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
An unsupervised learning rule for class discrimination in a recurrent neural network
ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
On the basis updating rule of adaptive-subspace self-organizing map (ASSOM)
ICANN'06 Proceedings of the 16th international conference on Artificial Neural Networks - Volume Part I
An efficient MDS algorithm for the analysis of massive document collections
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part II
On the discrete time dynamics of a self-stabilizing MCA learning algorithm
Mathematical and Computer Modelling: An International Journal
Incremental slow feature analysis
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Neural Networks
CUDAICA: GPU optimization of infomax-ICA EEG analysis
Computational Intelligence and Neuroscience - Special issue on Advanced Computational Techniques and Tools for Neuroscience
On Relation of Image Compression and Image Association
Fundamenta Informaticae
A novel neural network approach for computing eigen-pairs of real antisymmetric matrices
AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
Stabilizing relaxed nonlinear FMA yields a (combinatorial) optimizer
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
Convergence analysis for feng's MCA neural network learning algorithm
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
A stable dual purpose adaptive algorithm for subspace tracking on noncompact stiefel manifold
ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
An approach to dimensionality reduction in time series
Information Sciences: an International Journal
| Hi-index | 0.01 |
Many neural network realizations have been recently proposed for the statistical technique of Principal Component Analysis (PCA). Explicit connections between numerical constrained adaptive algorithms and neural networks with constrained Hebbian learning rules are reviewed. The Stochastic Gradient Ascent (SGA) neural network is proposed and shown to be closely related to the Generalized Hebbian Algorithm (GHA). The SGA behaves better for extracting the less dominant eigenvectors. The SGA algorithm is further extended to the case of learning minor components. The symmetrical Subspace Network is known to give a rotated basis of the dominant eigenvector subspace, but usually not the true eigenvectors themselves. Two extensions are proposed: in the first one, each neuron has a scalar parameter which breaks the symmetry. True eigenvectors are obtained in a local and fully parallel learning rule. In the second one, the case of an arbitrary number of parallel neurons is considered, not necessarily less than the input vector dimension.