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        <title>The Beta-Bernstein Bridge: Closed-Form Bayesian Measurement Beyond Monotone Item Response Functions</title>
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    <abstract>Item response theory forces a choice between flexible curves and tractable inference. We bridge them by representing item response functions as Bernstein polynomials. With a natural conjugate Beta prior, this gives a closed-form ability posterior as a Beta mixture. It reproduces IRT and recovers non-monotone curves with bimodal posteriors.</abstract>
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%0 Conference Proceedings
%T The Beta-Bernstein Bridge: Closed-Form Bayesian Measurement Beyond Monotone Item Response Functions
%A Wei, Yumou
%Y Wilson, Joshua
%Y Ormerod, Christopher
%Y Beiting-Parrish, Magdalen
%S Proceedings of the Artificial Intelligence in Measurement and Education Conference (AIME-Con): Full Papers
%D 2026
%8 October
%I National Council on Measurement in Education (NCME)
%C Wyndham Grand Pittsburgh Downtown, Pittsburgh, Pennsylvania, United States
%@ 979-8-9983004-0-0
%F wei-2026-beta
%X Item response theory forces a choice between flexible curves and tractable inference. We bridge them by representing item response functions as Bernstein polynomials. With a natural conjugate Beta prior, this gives a closed-form ability posterior as a Beta mixture. It reproduces IRT and recovers non-monotone curves with bimodal posteriors.
%U https://aclanthology.org/2026.aimecon-main.72/
%P 639-648

Markdown (Informal)

[The Beta-Bernstein Bridge: Closed-Form Bayesian Measurement Beyond Monotone Item Response Functions](https://aclanthology.org/2026.aimecon-main.72/) (Wei, AIME-Con 2026)

• The Beta-Bernstein Bridge: Closed-Form Bayesian Measurement Beyond Monotone Item Response Functions (Wei, AIME-Con 2026)

ACL

• Yumou Wei. 2026. The Beta-Bernstein Bridge: Closed-Form Bayesian Measurement Beyond Monotone Item Response Functions. In Proceedings of the Artificial Intelligence in Measurement and Education Conference (AIME-Con): Full Papers, pages 639–648, Wyndham Grand Pittsburgh Downtown, Pittsburgh, Pennsylvania, United States. National Council on Measurement in Education (NCME).