Tag: volume
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Minimum Volume Conformal Sets for Multivariate Regression
Minimum Volume Conformal Sets for Multivariate Regression arXiv:2503.19068v1 Announce Type: new Abstract: Conformal prediction provides a principled framework for constructing predictive sets with finite-sample validity. While much of the focus has been on univariate response variables, existing multivariate methods either impose rigid geometric assumptions or rely on flexible but computationally expensive approaches that do not…
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On Volume Minimization in Conformal Regression
On Volume Minimization in Conformal Regression arXiv:2502.09985v1 Announce Type: new Abstract: We study the question of volume optimality in split conformal regression, a topic still poorly understood in comparison to coverage control. Using the fact that the calibration step can be seen as an empirical volume minimization problem, we first derive a finite-sample upper-bound on…