Correction: High-resolution source inversion of 2024 Noto Peninsula earthquake tsunami with modeling error corrections

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Correction: Scientific Reports 10.1038/s41598-025-08978-0, published online 10 July 2025

The original version of this Article contained typesetting errors in Equations  4 and 7.

The incorrect and correct Equations appear below.

Incorrect Equation 4

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\left(\text{x}\right)={\left|\frac{d{\text{y}}_{\text{obs}}}{dt}-\frac{\text{A}}{dt}\text{x}\right|}^{2}+{\gamma }^{2}{\left|{\Delta {\rm x}}\right|}^{2}$$\end{document}

Correct Equation 4

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f\left(\text{x}\right)={\left|\frac{d{\text{y}}_{\text{obs}}}{dt}-\frac{d\text{A}}{dt}\text{x}\right|}^{2}+{\gamma }^{2}{\left|{\Delta {\rm x}}\right|}^{2}$$\end{document}

Incorrect Equation 7

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\alpha }_{k}=\frac{{a}_{est}}{{a}_{obs}}$$\end{document}

Correct Equation 7

\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\alpha }_{k}^{n+1}=\frac{{a}_{est}}{{a}_{obs}}{\alpha }_{k}^{n}$$\end{document}

The original Article has been corrected.