Dimension Reduction and Estimation Methods
Generate model-based samples
Construct Nearest-Neighborhood Graph
Build a centered kernel matrix K
Show the number of functions for Rdimtools.
Preprocessing the data
Find shortest path using Floyd-Warshall algorithm
Box-counting Dimension
Intrinsic Dimension Estimation via Clustering
Correlation Dimension
Intrinsic Dimensionality Estimation with DANCo
Intrinsic Dimension Estimation based on Manifold Assumption and Graph ...
Intrinsic Dimension Estimation with Incising Ball
Manifold-Adaptive Dimension Estimation
MiNDkl
MINDml
Maximum Likelihood Esimation with Poisson Process
Maximum Likelihood Esimation with Poisson Process and Bias Correction
Intrinsic Dimension Estimation with Near-Neighbor Information
Near-Neighbor Information with Bias Correction
Intrinsic Dimension Estimation using Packing Numbers
PCA Thresholding with Accumulated Variance
Intrinsic Dimension Estimation by a Minimal Neighborhood Information
ID Estimation with Convergence Rate of U-statistic on Manifold
Constraint Score
Constraint Score using Spectral Graph
Diversity-Induced Self-Representation
Elastic Net Regularization
Forward Orthogonal Search by Maximizing the Overall Dependency
Fisher Score
Least Absolute Shrinkage and Selection Operator
Laplacian Score
Locality Sensitive Discriminant Feature
Locality Sensitive Laplacian Score
Locality and Similarity Preserving Embedding
Multi-Cluster Feature Selection
Mutual Information for Selecting Features
Non-convex Regularized Self-Representation
Principal Feature Analysis
Feature Selection using PCA and Procrustes Analysis
Regularized Self-Representation
Supervised Spectral Feature Selection
Unsupervised Spectral Feature Selection
Structure Preserving Unsupervised Feature Selection
Unsupervised Discriminative Features Selection
Unsupervised Graph-based Feature Selection
Uncorrelated Worst-Case Discriminative Feature Selection
Worst-Case Discriminative Feature Selection
Adaptive Dimension Reduction
Adaptive Maximum Margin Criterion
Average Neighborhood Margin Maximization
Adaptive Subspace Iteration
Bayesian Principal Component Analysis
Canonical Correlation Analysis
Complete Neighborhood Preserving Embedding
Collaborative Representation-based Projection
Double-Adjacency Graphs-based Discriminant Neighborhood Embedding
Discriminant Neighborhood Embedding
Discriminative Sparsity Preserving Projection
Exponential Local Discriminant Embedding
Enhanced Locality Preserving Projection (2013)
Extended Supervised Locality Preserving Projection
Extended Locality Preserving Projection
Exploratory Factor Analysis
Feature Subset Selection using Expectation-Maximization
Independent Component Analysis
Isometric Projection
Kernel-Weighted Maximum Variance Projection
Kernel-Weighted Unsupervised Discriminant Projection
Linear Discriminant Analysis
Combination of LDA and K-means
Local Discriminant Embedding
Locally Discriminating Projection
Locally Linear Embedded Eigenspace Analysis
Local Fisher Discriminant Analysis
Local Learning Projections
Linear Local Tangent Space Alignment
Landmark Multidimensional Scaling
Locally Principal Component Analysis by Yang et al. (2006)
Locality Pursuit Embedding
Locality Preserving Fisher Discriminant Analysis
Locality-Preserved Maximum Information Projection
Locality Preserving Projection
Linear Quadratic Mutual Information
Locality Sensitive Discriminant Analysis
Localized Sliced Inverse Regression
Local Similarity Preserving Projection
(Classical) Multidimensional Scaling
Marginal Fisher Analysis
Maximal Local Interclass Embedding
Maximum Margin Criterion
Maximum Margin Projection
Multiple Maximum Scatter Difference
Modified Orthogonal Discriminant Projection
Maximum Scatter Difference
Maximum Variance Projection
Nonnegative Orthogonal Locality Preserving Projection
Nonnegative Orthogonal Neighborhood Preserving Projections
Nonnegative Principal Component Analysis
Neighborhood Preserving Embedding
Orthogonal Discriminant Projection
Orthogonal Linear Discriminant Analysis
Orthogonal Locality Preserving Projection
Orthogonal Neighborhood Preserving Projections
Orthogonal Partial Least Squares
Principal Component Analysis
Parameter-Free Locality Preserving Projection
Partial Least Squares
Probabilistic Principal Component Analysis
Regularized Linear Discriminant Analysis
Random Projection
Robust Principal Component Analysis via Geometric Median
Regularized Sliced Inverse Regression
Semi-Supervised Adaptive Maximum Margin Criterion
Sliced Average Variance Estimation
Semi-Supervised Discriminant Analysis
Sample-Dependent Locality Preserving Projection
Sliced Inverse Regression
Supervised Locality Pursuit Embedding
Supervised Locality Preserving Projection
Supervised Principal Component Analysis
Sparse Principal Component Analysis
Sparsity Preserving Projection
Semi-Supervised Locally Discriminant Projection
Unsupervised Discriminant Projection
Uncorrelated Linear Discriminant Analysis
Bayesian Multidimensional Scaling
Constrained Graph Embedding
Conformal Isometric Feature Mapping
Curvilinear Component Analysis
Curvilinear Distance Analysis
Diffusion Maps
Dual Probabilistic Principal Component Analysis
Distinguishing Variance Embedding
FastMap
Hyperbolic Distance Recovery and Approximation
Interactive Document Map
Improved Local Tangent Space Alignment
Isometric Feature Mapping
Isometric Stochastic Proximity Embedding
Kernel Entropy Component Analysis
Kernel Local Discriminant Embedding
Kernel Local Fisher Discriminant Analysis
Kernel Locality Sensitive Discriminant Analysis
Kernel Marginal Fisher Analysis
Kernel Maximum Margin Criterion
Kernel Principal Component Analysis
Kernel Quadratic Mutual Information
Kernel Semi-Supervised Discriminant Analysis
Local Affine Multidimensional Projection
Laplacian Eigenmaps
Landmark Isometric Feature Mapping
Locally Linear Embedding
Local Linear Laplacian Eigenmaps
Local Tangent Space Alignment
Metric Multidimensional Scaling
Minimum Volume Embedding
Maximum Variance Unfolding / Semidefinite Embedding
Nearest Neighbor Projection
Potential of Heat Diffusion for Affinity-based Transition Embedding
Piecewise Laplacian-based Projection (PLP)
Robust Euclidean Embedding
Robust Principal Component Analysis
Sammon Mapping
Stochastic Neighbor Embedding
Stochastic Proximity Embedding
Supervised Laplacian Eigenmaps
Spectral Multidimensional Scaling
t-distributed Stochastic Neighbor Embedding
OOS : Linear Projection
We provide linear and nonlinear dimension reduction techniques. Intrinsic dimension estimation methods for exploratory analysis are also provided. For more details on the package, see the paper by You and Shung (2022) <doi:10.1016/j.simpa.2022.100414>.