more than "eigenvalue" was replaced
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It is an error. But it is also not the in final version of the paper (arxiv.) The final version of the paper can be found here where they replace "absolute value of the largest eigenvalue" with "largest singular value".

We first prove that it is sufficient for $\lambda_1 < \frac{1}{\gamma}$, where $\lambda_1$ is the largest singular value of $W_{rec}$, for the vanishing gradient problem to occur.

It is an error. But it is also not the in final version of the paper (arxiv.) The final version of the paper can be found here where they replace eigenvalue with singular value.

We first prove that it is sufficient for $\lambda_1 < \frac{1}{\gamma}$, where $\lambda_1$ is the largest singular value of $W_{rec}$, for the vanishing gradient problem to occur.

It is an error. But it is also not the in final version of the paper (arxiv.) The final version of the paper can be found here where they replace "absolute value of the largest eigenvalue" with "largest singular value".

We first prove that it is sufficient for $\lambda_1 < \frac{1}{\gamma}$, where $\lambda_1$ is the largest singular value of $W_{rec}$, for the vanishing gradient problem to occur.

Source Link

It is an error. But it is also not the in final version of the paper (arxiv.) The final version of the paper can be found here where they replace eigenvalue with singular value.

We first prove that it is sufficient for $\lambda_1 < \frac{1}{\gamma}$, where $\lambda_1$ is the largest singular value of $W_{rec}$, for the vanishing gradient problem to occur.