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New research details nonadaptive one-sided testing of binary rank

A new research paper introduces a method for testing the binary rank of binary matrices. The proposed tester utilizes approximately O(d^4/epsilon^2) queries, which is independent of the matrix dimensions. This work also establishes a general lower bound of approximately Omega(d^{3/2}/epsilon) for such tests. AI

RANK_REASON The item is a research paper published on arXiv detailing a new algorithm for testing binary rank. [lever_c_demoted from research: ic=1 ai=0.1]

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New research details nonadaptive one-sided testing of binary rank

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The item is a research paper published on arXiv detailing a new algorithm for testing binary rank. [lever_c_demoted from research: ic=1 ai=0.1]
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  1. arXiv cs.LG TIER_1 English(EN) · Nader H. Bshouty ·

    Nonadaptive One-Sided Testing of Binary Rank

    arXiv:2611.14163v1 Announce Type: cross Abstract: The binary rank of a binary matrix is the minimum number of disjoint all-one rectangles that partition its one-entries. We study entry-query testing of binary rank at most $d$, with one-sided error and nonadaptive queries. We give…