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New 'Reverse-Gold Theorem' enables language identification from positive data

Researchers have developed a new theorem, termed the "Reverse-Gold Theorem," which demonstrates that certain languages can be identified using only positive data. This approach utilizes a recursive contrast operator and a bounded-capacity scorer trained via contrastive estimation. The method achieves PAC conditional identification, meaning it can correctly rank most positive examples above negative perturbations with sample complexity polynomial in key parameters. The theorem's hypotheses are instantiated for substitutable context-free languages and subregular classes, with an open conjecture about its placement within the mildly context-sensitive hierarchy. AI

IMPACT Introduces a novel theoretical framework for language identification that could influence future model training techniques.

RANK_REASON Academic paper detailing a new theoretical result in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.CL →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New 'Reverse-Gold Theorem' enables language identification from positive data

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Academic paper detailing a new theoretical result in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.CL TIER_1 English(EN) · Rakesh Sengupta ·

    A Reverse-Gold Theorem: Positive-Data Identification by Substrate-Bounded Contrastive Learners

    arXiv:2610.28747v1 Announce Type: cross Abstract: Gold's theorem shows that no learner can identify an arbitrary language in a superfinite class from positive presentations alone. We prove a positive result of a different shape. Fix an innate \emph{recursive contrast operator} $R…