Correction to: _Nature Machine Intelligence_ https://doi.org/10.1038/s42256-021-00306-1, published online 12 April 2021. In the version of this Article originally published, in the caption

of Fig. 2 the expression \(\left| {\theta - \theta } \right|_{\mathrm{F}}^2/{\mathrm{max}}\left( {\left| \theta \right|_{\mathrm{F}}^2,\left| \theta \right|_{\mathrm{F}}^2} \right)\) was

incorrect; it should have been \(\left| {{\mathbf{\uptheta }} - \theta } \right|_{\mathrm{F}}^2/{\mathrm{max}}\left( {\left| \theta \right|_{\mathrm{F}}^2,\left| {\mathbf{\uptheta }}

\right|_{\mathrm{F}}^2} \right)\). In addition, a number of Greek letters were missing or incorrectly formatted in the PDF version of the Article, while the HTML version was correct. This

Technology, The University of Tokyo, Tokyo, Japan Taro Toyoizumi Authors * Takuya Isomura View author publications You can also search for this author inPubMed Google Scholar * Taro

Toyoizumi View author publications You can also search for this author inPubMed Google Scholar CORRESPONDING AUTHORS Correspondence to Takuya Isomura or Taro Toyoizumi. RIGHTS AND

PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE Isomura, T., Toyoizumi, T. Publisher Correction: Dimensionality reduction to maximize prediction generalization

capability. _Nat Mach Intell_ 3, 457 (2021). https://doi.org/10.1038/s42256-021-00352-9 Download citation * Published: 05 May 2021 * Issue Date: May 2021 * DOI:

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