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Corrigendum 
 
Corrigendum to “Retrieving sinusoids from nonuniformly sampled data using recursive 
formulations” Expert Systems with Applications 72 (2017) 245–257 
 
Ivan Maric 
 
Rudjer Boskovic Institute, Bijenicka 54, 10000 Zagreb, Croatia 
 
Email:  ivan.maric@irb.hr 
Phone: +385-1-4561191 
_______________________________________________________________________________________________________ 

The author regrets to inform that six errors have been discovered in this article. The main error 
refers to the “log-likelihood” term in equations (4), (5), (34), which is shown as approximated by 
using the sum squared error (SSE) but in our simulations it was actually approximated by using 
the square root of the SSE and all the results presented in the paper are obtained in that way. 
Using the square root of the SSE in the log-likelihood term in the Eq. (5) has the same effect as 
when increasing its model-complexity penalty term by a factor of 2. A couple of other less 
significant errors are also corrected. The corrections are outlined below: 
 

• The first error is located at page 246, in the right side of Eq. (4), where the sum squared error 
should be replaced by its square root, and the Eq. (4) should be replaced by: 

( ) ( )[ ]
5.0

1

2

,ln
2

ln







∑ −−=
=

K

k
MkMkM

Pw
K

,L ββ
))

w . 

• The second error is the same type of error as the first one and is located at page 246, in the 
Eq. (5), which should be replaced by: 

 ( )[ ]
K

K

k
MkMk

M

MCPw
K

M +







∑ −=
==

5.0

1

2

,
,...2,1,0

ln
2

minarg β
))

. 

• The third error is located at page 248, in the Section 2.2, in the first item of the numbered list 
and refers to the text "(see Section 2.3)", which should be replaced by: "(see Section 2.4)". 

• The fourth error is located at page 248, in the Section 2.2, in the second item of the numbered 
list and refers to the text "(see Section 2.4)", which should be replaced by: "(see Section 2.5)". 

• The fifth error is the same type of error as the first one and is located at page 249, in the Eq. 
34, which should be replaced by: 

 ( )
5.0

1

2
ln

2
0 







∑=
=

K

k
k

w
K

EDC . 

• The sixth error is located at page 250, in the Table 1, in the first row below “Initialization” and 
refers to the text "E0=EDC(0) (34)" which should be replaced by the equation: 

 " ∑=
=

K

k
k

wE
1

2

0 ". 

 
These errors do not affect the correctness of the procedures and the results presented in the 
paper. 
 
The author would like to apologize to the Editor and the readers for these errors. 
_______________________________________________________________________________________________________

DOI of original article: 10.1016/j.eswa.2016.10.057 
E-mail address: ivan.maric@irb.hr 

 
http://dx.doi.org/10.1016/j.eswa.2017.04.011 0