<s>
Margin-infused	B-Algorithm
relaxed	I-Algorithm
algorithm	I-Algorithm
(	O
MIRA	O
)	O
is	O
a	O
machine	O
learning	O
algorithm	O
,	O
an	O
online	B-Algorithm
algorithm	I-Algorithm
for	O
multiclass	B-General_Concept
classification	I-General_Concept
problems	O
.	O
</s>
<s>
It	O
is	O
designed	O
to	O
learn	O
a	O
set	O
of	O
parameters	O
(	O
vector	O
or	O
matrix	O
)	O
by	O
processing	O
all	O
the	O
given	O
training	O
examples	O
one-by-one	O
and	O
updating	O
the	O
parameters	O
according	O
to	O
each	O
training	O
example	O
,	O
so	O
that	O
the	O
current	O
training	O
example	O
is	O
classified	O
correctly	O
with	O
a	O
margin	B-Algorithm
against	O
incorrect	O
classifications	O
at	O
least	O
as	O
large	O
as	O
their	O
loss	O
.	O
</s>
<s>
A	O
two-class	O
version	O
called	O
binary	O
MIRA	O
simplifies	O
the	O
algorithm	O
by	O
not	O
requiring	O
the	O
solution	O
of	O
a	O
quadratic	B-Algorithm
programming	I-Algorithm
problem	O
(	O
see	O
below	O
)	O
.	O
</s>
<s>
The	O
update	O
step	O
is	O
then	O
formalized	O
as	O
a	O
quadratic	B-Algorithm
programming	I-Algorithm
problem	O
:	O
Find	O
,	O
so	O
that	O
,	O
i.e.	O
</s>
