Publisher Correction: GIANA allows computationally-efficient TCR clustering and multi-disease repertoire classification by isometric transformation

Correction to: Nature Communications 10.1038/s41467-021-25006-7, published online 4 August 2021.

In the original version of this Article Equation 13 was mistakenly formulated as:

$${\mathit{\Omega }}_6=\left(\begin{array}{ccc}\underset{\_}{\underset{\_}{0}}\hfill & \underset{\_}{\underset{\_}{0}}\hfill & {\mathit{\Omega }}_2\hfill \\ {\mathit{\Omega }}_2\hfill & \underset{\_}{\underset{\_}{0}}\hfill & \underset{\_}{\underset{\_}{0}}\hfill \\ \underset{\_}{\underset{\_}{0}}\hfill & {\mathit{\Omega }}_2\hfill & {\mathit{\Omega }}_2\hfill \end{array}\right)$$

The correct formulation is:

$${\mathit{\Omega }}_6=\left(\begin{array}{ccc}\underset{\_}{\underset{\_}{0}}\hfill & \underset{\_}{\underset{\_}{0}}\hfill & {\mathit{\Omega }}_2\hfill \\ {\mathit{\Omega }}_2\hfill & \underset{\_}{\underset{\_}{0}}\hfill & \underset{\_}{\underset{\_}{0}}\hfill \\ \underset{\_}{\underset{\_}{0}}\hfill & {\mathit{\Omega }}_2\hfill & \underset{\_}{\underset{\_}{0}}\hfill \end{array}\right)$$

This has been corrected in both the HTML and PDF versions of the Article.