After publication of our paper,1 we realized that the text that follows Eq. (23) of the manuscript needed correction. We first report the original inexact text and then the correct text that should replace it.

The original text: The fit signal with respect to the optimized time-shifts is
h = Ω shift κ κ ,
(24)
where Ω shift is obtained by replacing τ i by τ i in Eq. (14) and the training error is computed by Eq. (8). The optimized time-shifts τ τ and κ κ are then used to compute Ω ~ shift and the testing error.
The correct text: The fit signal with respect to the optimized time-shifts is
h = Ω opt [ κ κ λ λ ] ,
(24)
and the training error is computed as
Δ t r = Ω opt [ κ κ λ λ ] g g .
(25)
The testing error is computed as
Δ t s = Ω ~ opt [ κ κ λ λ ] g ~ g ~ .
(26)

The data that support the findings of this study are openly available at https://github.com/afrozashirin/reservoi_computing.git.

1.
E.
Del Frate
,
A.
Shirin
, and
F.
Sorrentino
, “
Reservoir computing with random and optimized time-shifts
,”
Chaos
31
(
12
),
121103
(
2021
).