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lines changed Original file line number Diff line number Diff line change 1111be tuned using a mixing parameter α to improve performance in regression tasks
1212(:math:`\alpha = 0` corresponding to linear regression and :math:`\alpha = 1`
1313corresponding to PCA). Also provided is Principal Covariates Classification (PCovC),
14- proposed in [Jorgensen2025]_, which adapts PCovR for use in classification tasks by
15- leveraging the evidence :math:`\mathbf{Z}` as an approximation of :math:`\mathbf{Y}`.
14+ proposed in [Jorgensen2025]_, which can similarly be used for classification problems.
1615
1716[Helfrecht2020]_ introduced the non-linear version of PCovR,
1817Kernel Principal Covariates Regression (KPCovR), where the mixing parameter α
2625 a low-dimensional projection of the feature vectors that simultaneously minimises
2726 information loss and error in predicting the target properties using only the
2827 latent space vectors :math:`\mathbf{T}`.
29- * :ref:`PCovC-api` the Principal Covariates Classification. Adapts PCovR for
30- classification tasks, proposed in [Jorgensen2025]_.
28+ * :ref:`PCovC-api` the standard Principal Covariates Classification, proposed in
29+ [Jorgensen2025]_.
3130* :ref:`KPCovR-api` the Kernel Principal Covariates Regression.
3231 A kernel-based variation on the
3332 original PCovR method, proposed in [Helfrecht2020]_.
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