Perturbation theory for cross data matrix-based PCA

Keyphrases

• Principal Coordinate Analysis (PCoA) 100%
• Perturbation Theory 100%
• Data Matrix 100%
• Matrix-based 100%
• Leading Eigenvalue 18%
• Leading Eigenvector 18%
• Eigenvalues 9%
• Finite Sample 9%
• Small Sample Size 9%
• Covariance Matrix 9%
• Signal-to-noise Ratio 9%
• Large Signal 9%
• Dimensionality Reduction 9%
• Asymptotic Behavior 9%
• High Dimension 9%
• Low Dimension 9%
• Singular Value Decomposition 9%
• Eigenvector 9%
• Approximation Results 9%
• Data Dimensions 9%
• Noise Correlation 9%
• Noise-to-signal Ratio 9%
• Common Region 9%
• Large Sample Size 9%
• Crossed Product 9%
• Matrix Perturbation 9%
• Sample Approximation 9%
• Comparison Measure 9%

Mathematics

• Matrix (Mathematics) 100%
• Perturbation Theory 100%
• Principal Component Analysis 100%
• Eigenvalue 27%
• Eigenvector 27%
• Real Data 9%
• Covariance Matrix 9%
• Asymptotic Behavior 9%
• Higher Dimensions 9%
• Numerical Data 9%
• Singular Value Decomposition 9%
• Noise Ratio 9%
• Final Estimate 9%
• Cross Product 9%