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New algorithm improves high-dimensional forecast calibration

Researchers have developed a new algorithm for online calibration of multidimensional forecasts within arbitrary convex sets and error norms. This algorithm achieves $\varepsilon$-calibration in a number of rounds that is polynomial in the dimension $d$ for binary outcome forecasting, a significant improvement over previous bounds. For multi-class forecasting, it also offers an improved dimension dependence compared to prior work. The method relies on outputting a harmonically weighted distribution over past outcomes, a technique inspired by the discrete Hilbert transform matrix. AI

IMPACT This research could lead to more accurate and efficient predictive modeling in complex, high-dimensional scenarios.

RANK_REASON Academic paper detailing a new algorithm for multidimensional forecast calibration. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New algorithm improves high-dimensional forecast calibration

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Academic paper detailing a new algorithm for multidimensional forecast calibration. [lever_c_demoted from research: ic=1 ai=1.0]
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  1. arXiv cs.LG TIER_1 English(EN) · Maxwell Fishelson, Mehryar Mohri ·

    High-dimensional online calibration from harmonic weights

    arXiv:2610.07740v1 Announce Type: cross Abstract: We study the online calibration of multidimensional forecasts over an arbitrary convex set $Y\subseteq\mathbb{R}^d$ relative to an arbitrary error norm $\|\cdot\|_{L}$. For forecasting $d$ binary outcomes simultaneously ($Y=[0,1]^…