math.ST · 2026-09-01 · No. 102

Statistics Theory, 2026-09-01.

1 new papers in math.ST. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Compact and Infinite-Order Error Analysis for Null-Space SVD Estimation

    Xin Li, Jonathan Cohen, Rami Puzis

    math.ST · cs.LG

    We study null-space estimation from a noisy matrix. For a simple left null space, we first derive an exact compact expression for the error of the smallest left singular vector. We then give an all-order series for the SVD vector and projector, followed by compact and consistently truncated series forms for the fixed-realization empirical risk and conditional population generalization risk. The recursion extends to a multiple-dimensional null...

    arxiv.org/abs/2608.30374 · PDF

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