New Research Connects Sign Rank, Z2-Index, and List Replicability

By PulseAugur Editorial · [1 sources] · 2026-06-16 17:57

A new research paper on arXiv explores the relationship between sign rank, Z2-index, and list replicability in learning theory. The study establishes that the Z2-index is bounded by a linear function of list replicability, leading to a separation between sign rank and Z2-index. The research also delves into list replicability, providing upper bounds and a composition result for the product of concept classes. AI

RANK_REASON The cluster contains a research paper published on arXiv detailing theoretical connections and separations between different measures in learning theory. [lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Sivan Tretiak · 2026-06-16 17:57

Sign-Rank, Index, and List Replicability: Connections and Separations

In learning theory, the sign rank of a binary concept class captures the smallest dimension in which it can be represented by points and halfspaces. Despite tremendous interest, lower bounds on sign rank are notoriously difficult to come by. Two recent approaches to the problem e…

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Sign-Rank, Index, and List Replicability: Connections and Separations

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