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New research clarifies connections between sign rank, Z2-index, and list replicability

By PulseAugur Editorial · [2 sources] ·

A new research paper on arXiv explores the relationship between sign rank, Z2-index, and list replicability in learning theory. The study establishes a linear upper bound for the Z2-index based on the list replicability number, resolving a prior question and demonstrating a separation between sign rank and Z2-index. The research also delves into list replicability, providing upper bounds and a composition result for 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.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New research clarifies connections between sign rank, Z2-index, and list replicability

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Ari Blondal, Hamed Hatami, Pooya Hatami, Chavdar Lalov, Sivan Tretiak ·

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

    arXiv:2606.18236v1 Announce Type: new Abstract: 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…

  2. arXiv cs.LG TIER_1 English(EN) · Sivan Tretiak ·

    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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