Research map / Learning theory and algorithms / Matrix and tensor methods
Coherence Pursuit: Fast, Simple, and Robust Subspace Recovery
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use single-step Coherence Pursuit (one Gram matrix multiplication with p-norm ranking) instead of iterative robust PCA solvers | robust PCA subspace recovery · Running time, m=n=10000 | run time (s): 27 s vs 401 s (FMS), 3547 s (OP), 598 s (R1-PCA) | Helped |
| Adopt the l1-norm (p=1) ranking for CoP when outliers are repeated (ablation) | CoP with linearly dependent outliers · Repeated outliers illustration (r=5, n1=50, n2=500) | separation of inlier vs outlier scores in p | Mixed |
| Use l2-norm (p=2) instead of l1 for ranking coherence (ablation) | CoP · Theoretical sufficient conditions (Lemmas 1-2) | outlier tolerance | Helped |
| Adaptive column sampling (Algorithm 2) for subspace identification with random projection | CoP · Subspace identification step | redundant column sampling | Helped |
| Use CoP as error-correction step on subspace clustering output (Hopkins155 traffic) | subspace clustering error correction · Hopkins155 traffic sequences, 20% initial clustering error | clustering error | Helped |
Closest papers by meaning
- Dual Principal Component Pursuit for Robust Subspace Learning: Theory and Algorithms for a Holistic Approach (ICML 2021 · similarity 0.89)
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- Fast and Provable Algorithms for Sparse PCA with Improved Sample Complexity (ICML 2025 · similarity 0.89)
- Capturing the denoising effect of PCA via compression ratio (NeurIPS 2024 · similarity 0.88)
- Efficient Sparse PCA via Block-Diagonalization (ICLR 2025 · similarity 0.87)
- Oja's Algorithm for Streaming Sparse PCA (NeurIPS 2024 · similarity 0.87)
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