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Contradiction Graphs Precisely Determine VC Dimension

By PulseAugur Editorial · [2 sources] ·

Researchers have introduced a novel method using contradiction graphs to determine the VC dimension of binary concept classes. This approach establishes that the order-m contradiction graph, G_m(H), can ascertain if the VC dimension of H is at least m. The full sequence of these graphs, (G_m(H)) for m >= 1, precisely determines the exact VC dimension, resolving a long-standing question in the field. AI

IMPACT Introduces a theoretical framework for understanding concept classes, potentially impacting machine learning theory and algorithm design.

RANK_REASON Academic paper detailing a new theoretical approach to determining VC dimension.

Read on arXiv stat.ML →

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

Contradiction Graphs Precisely Determine VC Dimension

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Academic paper detailing a new theoretical approach to determining VC dimension.
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COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Jesse Campbell, Daniel Ibaibarriaga, Lev Reyzin ·

    Contradiction Graphs Determine VC Dimension

    arXiv:2605.20434v1 Announce Type: new Abstract: We study the contradiction graphs associated with binary concept classes. For a class $H \subseteq \{0,1\}^X$, the order-$m$ contradiction graph $G_m(H)$ has as vertices the $H$-realizable labeled sequences of length $m$, with two v…

  2. arXiv stat.ML TIER_1 English(EN) · Lev Reyzin ·

    Contradiction Graphs Determine VC Dimension

    We study the contradiction graphs associated with binary concept classes. For a class $H \subseteq \{0,1\}^X$, the order-$m$ contradiction graph $G_m(H)$ has as vertices the $H$-realizable labeled sequences of length $m$, with two vertices adjacent when the two sequences assign o…

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