Research map / Learning theory and algorithms / Matrix and tensor methods
Robust Principal Component Analysis with Side Information
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add row/column side features (PCPF) to robust PCA | robust PCA on synthetic low-rank plus sparse matrices · synthetic, n=200, random sign model | recoverable (rank, sparsity) region: substantial gray region recoverable only by PCPF | Helped |
| add Eigendigit row features to robust PCA (PCPF vs PCP) | MNIST denoising, linear SVM classification · MNIST, sparsity 0.05 to 0.3 | classification accuracy: e.g. 86.94 to 87.51 at rho=0.05 | Helped |
| add Eigendigit row features to robust PCA (PCPF vs PCP) | MNIST denoising, kernel SVM classification · MNIST, sparsity 0.05 to 0.3 | classification accuracy: e.g. 95.17 to 95.74 at rho=0.05 | Helped |
| add Eigendigit row features to robust PCA (PCPF vs PCP) | MNIST denoising, relative error to clean images · MNIST, sparsity 0.05 to 0.3 | relative error: e.g. 0.3643 to 0.3424 at rho=0.05 | Helped |
| increase feature dimension d relative to rank (lower d) (ablation) | PCPF recoverability · synthetic, random sign model rho=0.2 | recoverable rank | Helped |
Closest papers by meaning
- Informed Non-Convex Robust Principal Component Analysis With Features (AAAI 2018 · similarity 0.92)
- Robust Formulation for PCA: Avoiding Mean Calculation With L2,p-norm Maximization (AAAI 2018 · similarity 0.89)
- RES-PCA: A Scalable Approach to Recovering Low-Rank Matrices (CVPR 2019 · similarity 0.89)
- A Pseudo-Bayesian Algorithm for Robust PCA (NeurIPS 2016 · similarity 0.89)
- Capturing the denoising effect of PCA via compression ratio (NeurIPS 2024 · similarity 0.86)
- Rethinking PCA Through Duality (NeurIPS 2025 · similarity 0.86)
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