<s>
For	O
mathematical	O
analysis	O
and	O
statistics	O
,	O
Leave-one-out	B-General_Concept
error	I-General_Concept
can	O
refer	O
to	O
the	O
following	O
:	O
</s>
<s>
Then	O
a	O
learning	O
algorithm	O
is	O
a	O
function	O
from	O
into	O
which	O
maps	B-Algorithm
a	O
learning	O
set	O
S	O
onto	O
a	O
function	O
from	O
the	O
input	O
space	O
X	O
to	O
the	O
output	O
space	O
Y	O
.	O
</s>
<s>
To	O
avoid	O
complex	O
notation	O
,	O
we	O
consider	O
only	O
deterministic	B-General_Concept
algorithms	I-General_Concept
.	O
</s>
<s>
The	O
empirical	B-Algorithm
error	I-Algorithm
of	O
f	O
can	O
then	O
be	O
written	O
as	O
.	O
</s>
