Unsupervised Learning of Image Manifolds by Semidefinite Programming
International Journal of Computer Vision
A duality view of spectral methods for dimensionality reduction
ICML '06 Proceedings of the 23rd international conference on Machine learning
Semi-supervised nonlinear dimensionality reduction
ICML '06 Proceedings of the 23rd international conference on Machine learning
Rapid and Brief communication: Formulating LLE using alignment technique
Pattern Recognition
Surface parameterization via aligning optimal local flattening
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Robust non-linear dimensionality reduction using successive 1-dimensional Laplacian Eigenmaps
Proceedings of the 24th international conference on Machine learning
Proceedings of the sixteenth ACM conference on Conference on information and knowledge management
A sensorimotor approach to sound localization
Neural Computation
Person-independent head pose estimation using biased manifold embedding
EURASIP Journal on Advances in Signal Processing
Noisy manifold learning using neighborhood smoothing embedding
Pattern Recognition Letters
Feature extraction using constrained maximum variance mapping
Pattern Recognition
Semi-supervised sub-manifold discriminant analysis
Pattern Recognition Letters
Comparison of Dimension Reduction Methods for Database-Adaptive 3D Model Retrieval
Adaptive Multimedial Retrieval: Retrieval, User, and Semantics
Local Coordinates Alignment and Its Linearization
Neural Information Processing
Walking Appearance Manifolds without Falling Off
Neural Information Processing
Distortion-Free Nonlinear Dimensionality Reduction
ECML PKDD '08 Proceedings of the 2008 European Conference on Machine Learning and Knowledge Discovery in Databases - Part I
Manifold Learning: The Price of Normalization
The Journal of Machine Learning Research
Cross-media manifold learning for image retrieval & annotation
MIR '08 Proceedings of the 1st ACM international conference on Multimedia information retrieval
Discriminative Locality Alignment
ECCV '08 Proceedings of the 10th European Conference on Computer Vision: Part I
Embedded Map Projection for Dimensionality Reduction-Based Similarity Search
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
LDR-LLE: LLE with Low-Dimensional Neighborhood Representation
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
ISICA '08 Proceedings of the 3rd International Symposium on Advances in Computation and Intelligence
Supervised locally linear embedding with probability-based distance for classification
Computers & Mathematics with Applications
Kernel based nonlinear dimensionality reduction for microarray gene expression data analysis
Expert Systems with Applications: An International Journal
Local linear transformation embedding
Neurocomputing
Stable local dimensionality reduction approaches
Pattern Recognition
Finding representative landmarks of data on manifolds
Pattern Recognition
Informative Laplacian Projection
SCIA '09 Proceedings of the 16th Scandinavian Conference on Image Analysis
Nonlinear Embedded Map Projection for Dimensionality Reduction
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
MM '09 Proceedings of the 17th ACM international conference on Multimedia
Incremental Laplacian eigenmaps by preserving adjacent information between data points
Pattern Recognition Letters
Supervised local tangent space alignment for classification
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Manifold-based learning and synthesis
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Nonlinear dimensionality reduction by locally linear inlaying
IEEE Transactions on Neural Networks
Adaptive Neighborhood Select Based on Local Linearity for Nonlinear Dimensionality Reduction
ISICA '09 Proceedings of the 4th International Symposium on Advances in Computation and Intelligence
Dynamic Neighborhood Selection for Nonlinear Dimensionality Reduction
MDAI '09 Proceedings of the 6th International Conference on Modeling Decisions for Artificial Intelligence
Regularized Kernel Local Linear Embedding on Dimensionality Reduction for Non-vectorial Data
AI '09 Proceedings of the 22nd Australasian Joint Conference on Advances in Artificial Intelligence
Dimensionality reduction by self organizing maps that preserve distances in output space
IJCNN'09 Proceedings of the 2009 international joint conference on Neural Networks
Nonlinear embedding preserving multiple local-linearities
Pattern Recognition
Statistical Methods and Models for Video-Based Tracking, Modeling, and Recognition
Foundations and Trends in Signal Processing
Distance approximating dimension reduction of Riemannian manifolds
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Discriminative orthogonal neighborhood-preserving projections for classification
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Distinguishing variance embedding
Image and Vision Computing
Dimensionality Estimation, Manifold Learning and Function Approximation using Tensor Voting
The Journal of Machine Learning Research
Embedding new data points for manifold learning via coordinate propagation
PAKDD'07 Proceedings of the 11th Pacific-Asia conference on Advances in knowledge discovery and data mining
Active reranking for web image search
IEEE Transactions on Image Processing
High throughput analysis of breast cancer specimens on the grid
MICCAI'07 Proceedings of the 10th international conference on Medical image computing and computer-assisted intervention - Volume Part I
A novel local sensitive frontier analysis for feature extraction
ICIC'09 Proceedings of the Intelligent computing 5th international conference on Emerging intelligent computing technology and applications
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 2
Semi-supervised learning with varifold Laplacians
Neurocomputing
Technical Section: Mesh reconstruction by meshless denoising and parameterization
Computers and Graphics
Learning the dynamical system behind sensory data
Neural Computation
Manifold reconstruction using tangential Delaunay complexes
Proceedings of the twenty-sixth annual symposium on Computational geometry
Discriminant feature extraction based on center distance
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Evolutionary cross-domain discriminative hessian eigenmaps
IEEE Transactions on Image Processing
Learning an intrinsic-variable preserving manifold for dynamic visual tracking
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
Feature extraction by learning Lorentzian metric tensor and its extensions
Pattern Recognition
Pattern Recognition Letters
Radar target recognition based on KLLE and a KNRD classifier
WSEAS Transactions on Signal Processing
Linear discriminant projection embedding based on patches alignment
Image and Vision Computing
Similarity preserving principal curve: an optimal 1-D feature extractor for data representation
IEEE Transactions on Neural Networks
GEMS '10 Proceedings of the 2010 Workshop on GEometrical Models of Natural Language Semantics
Dimensionality reduction techniques for blog visualization
Expert Systems with Applications: An International Journal
Fast ISOMAP based on minimum set coverage
ICIC'10 Proceedings of the Advanced intelligent computing theories and applications, and 6th international conference on Intelligent computing
Orthogonal discriminant local tangent space alignment
ICIC'10 Proceedings of the 6th international conference on Advanced intelligent computing theories and applications: intelligent computing
An incremental manifold learning algorithm based on the small world model
LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part I
Computers in Biology and Medicine
An improved local tangent space alignment method for manifold learning
Pattern Recognition Letters
Dimensionality reduction by using sparse reconstruction embedding
PCM'10 Proceedings of the Advances in multimedia information processing, and 11th Pacific Rim conference on Multimedia: Part II
Local smoothing for manifold learning
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Orthogonal local spline discriminant projection with application to face recognition
Pattern Recognition Letters
Robust Positive semidefinite L-Isomap Ensemble
Pattern Recognition Letters
An SDP-Based Divide-and-Conquer Algorithm for Large-Scale Noisy Anchor-Free Graph Realization
SIAM Journal on Scientific Computing
Manifold elastic net: a unified framework for sparse dimension reduction
Data Mining and Knowledge Discovery
Incremental manifold learning by spectral embedding methods
Pattern Recognition Letters
Nonlinear dimensionality reduction using a temporal coherence principle
Information Sciences: an International Journal
Incremental alignment manifold learning
Journal of Computer Science and Technology - Special issue on natural language processing
Locally affine patch mapping and global refinement for image super-resolution
Pattern Recognition
A detailed investigation into low-level feature detection in spectrogram images
Pattern Recognition
Front end analysis of speech recognition: a review
International Journal of Speech Technology
Locally linear embedding: a survey
Artificial Intelligence Review
An empirical study on the performance of spectral manifold learning techniques
ICANN'11 Proceedings of the 21th international conference on Artificial neural networks - Volume Part I
Manifold learning for visualization of vibrational states of a rotating machine
ICANN'11 Proceedings of the 21st international conference on Artificial neural networks - Volume Part II
ACCV'10 Proceedings of the 2010 international conference on Computer vision - Volume part II
Uncorrelated neighborhood preserving projections for face recognition
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part III
A large-scale manifold learning approach for brain tumor progression prediction
MLMI'11 Proceedings of the Second international conference on Machine learning in medical imaging
A visualization metric for dimensionality reduction
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Spline embedding for nonlinear dimensionality reduction
ECML'06 Proceedings of the 17th European conference on Machine Learning
Riemannian manifold learning for nonlinear dimensionality reduction
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
A spectral clustering technique for studying post-transplant kidney functions
Proceedings of the 2nd ACM SIGHIT International Health Informatics Symposium
Supervised learning for classification
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part II
Lorentzian discriminant projection and its applications
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
Learning bundle manifold by double neighborhood graphs
ACCV'09 Proceedings of the 9th Asian conference on Computer Vision - Volume Part III
A local tangent space alignment based transductive classification algorithm
ANNPR'06 Proceedings of the Second international conference on Artificial Neural Networks in Pattern Recognition
Incremental manifold learning via tangent space alignment
ANNPR'06 Proceedings of the Second international conference on Artificial Neural Networks in Pattern Recognition
Gene Classification Using Parameter-Free Semi-Supervised Manifold Learning
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Face recognition using discriminant sparsity neighborhood preserving embedding
Knowledge-Based Systems
Dimensionality reduction via compressive sensing
Pattern Recognition Letters
Image classification by multimodal subspace learning
Pattern Recognition Letters
Local CCA alignment and its applications
Neurocomputing
Sparse transfer learning for interactive video search reranking
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
Local and structural consistency for multi-manifold clustering
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
A novel maximum margin neighborhood preserving embedding for face recognition
Future Generation Computer Systems
Enhanced semi-supervised local Fisher discriminant analysis for face recognition
Future Generation Computer Systems
Sequential manifold learning for efficient churn prediction
Expert Systems with Applications: An International Journal
Orthogonal projection analysis
IScIDE'11 Proceedings of the Second Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Modeling and monitoring of multimodes process
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Data-based modeling and monitoring for multimode processes using local tangent space alignment
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Neurocomputing
A feature space alignment learning algorithm
PRICAI'12 Proceedings of the 12th Pacific Rim international conference on Trends in Artificial Intelligence
Pavement distress image recognition based on multilayer autoencoders
AICI'12 Proceedings of the 4th international conference on Artificial Intelligence and Computational Intelligence
Error-correcting output codes based ensemble feature extraction
Pattern Recognition
Manifold analysis of spectral munsell colors
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part I
Spatio-temporal LTSA and its application to motion decomposition
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part V
Stability of dimensionality reduction methods applied on artificial hyperspectral images
ICCVG'12 Proceedings of the 2012 international conference on Computer Vision and Graphics
A comparative study of nonlinear manifold learning methods for cancer microarray data classification
Expert Systems with Applications: An International Journal
Increasing reliability of protein interactome by fast manifold embedding
Pattern Recognition Letters
Image Dimensionality Reduction Based on the Intrinsic Dimension and Parallel Genetic Algorithm
International Journal of Cognitive Informatics and Natural Intelligence
Robust integrated locally linear embedding
CCBR'12 Proceedings of the 7th Chinese conference on Biometric Recognition
Dimensionality reduction by low-rank embedding
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Learning compact representation for image with tensor manifold perspective
IScIDE'12 Proceedings of the third Sino-foreign-interchange conference on Intelligent Science and Intelligent Data Engineering
Local Tangent Distances for Classification Problems
WI-IAT '12 Proceedings of the The 2012 IEEE/WIC/ACM International Joint Conferences on Web Intelligence and Intelligent Agent Technology - Volume 01
Unsupervised Feature Selection with Feature Clustering
WI-IAT '12 Proceedings of the The 2012 IEEE/WIC/ACM International Joint Conferences on Web Intelligence and Intelligent Agent Technology - Volume 01
Bidirectional-isomorphic manifold learning at image semantic understanding & representation
Multimedia Tools and Applications
Visualizing dimensionality reduction of systems biology data
Data Mining and Knowledge Discovery
Automatic webcam-based human heart rate measurements using laplacian eigenmap
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part II
Visualizing the quality of dimensionality reduction
Neurocomputing
Simultaneous particle tracking in multi-action motion models with synthesized paths
Image and Vision Computing
Correspondence construction for cartoon animation via sparse coding
Proceedings of the Fifth International Conference on Internet Multimedia Computing and Service
Multi-view hypergraph learning by patch alignment framework
Neurocomputing
Inductive manifold learning using structured support vector machine
Pattern Recognition
A multi-manifold semi-supervised Gaussian mixture model for pattern classification
Pattern Recognition Letters
Hybrid structure for robust dimensionality reduction
Neurocomputing
Semi-supervised learning with manifold fitted graphs
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Similar handwritten Chinese character recognition by kernel discriminative locality alignment
Pattern Recognition Letters
A robust algorithm for template curve estimation based on manifold embedding
Computational Statistics & Data Analysis
On the convergence of maximum variance unfolding
The Journal of Machine Learning Research
Tapkee: an efficient dimension reduction library
The Journal of Machine Learning Research
Parallel vector field embedding
The Journal of Machine Learning Research
Orthogonal locally discriminant spline embedding for plant leaf recognition
Computer Vision and Image Understanding
Perceptual relativity-based semi-supervised dimensionality reduction algorithm
Applied Soft Computing
Local maximal margin discriminant embedding for face recognition
Journal of Visual Communication and Image Representation
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We present a new algorithm for manifold learning and nonlinear dimensionality reduction. Based on a set of unorganized data points sampled with noise from a parameterized manifold, the local geometry of the manifold is learned by constructing an approximation for the tangent space at each data point, and those tangent spaces are then aligned to give the global coordinates of the data points with respect to the underlying manifold. We also present an error analysis of our algorithm showing that reconstruction errors can be quite small in some cases. We illustrate our algorithm using curves and surfaces both in two-dimensional/three-dimensional (2D/3D) Euclidean spaces and in higher-dimensional Euclidean spaces. We also address several theoretical and algorithmic issues for further research and improvements.