Theoretical Guarantees for the Subspace-Constrained Tyler's Estimator

arXiv — stat.MLTuesday, December 9, 2025 at 5:00:00 AM
  • The subspace-constrained Tyler's estimator (STE) has been analyzed for its effectiveness in recovering low-dimensional subspaces from datasets affected by outliers. This method has shown competitiveness in key computer vision tasks, particularly under conditions where the inlier fraction is low, which complicates robust subspace recovery. The study establishes that with proper initialization, STE can efficiently recover the underlying subspace even in challenging scenarios.
  • The implications of this research are significant for the field of computer vision, as it enhances the reliability of subspace recovery methods in the presence of noise and outliers. By demonstrating that STE can succeed where traditional methods like Tyler's M-estimator (TME) may fail, this work paves the way for improved algorithms that can handle real-world data more effectively, potentially leading to advancements in various applications such as image processing and machine learning.
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