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low-rank approximation 1matrix denoising 1minimax optimality 1multi-view learning 1singular subspace estimation 1

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math.ST2026

Optimal Estimation of Shared Singular Subspaces across Multiple Noisy Matrices

Zhengchi Ma, Rong Ma

The paper studies how to estimate common singular subspaces from several noisy low‑rank matrices, showing when a simple stacked SVD is optimal and proposing new methods for cases w…