<s>
Semantic	B-Algorithm
mapping	I-Algorithm
(	O
SM	O
)	O
in	O
statistics	O
is	O
a	O
method	O
for	O
dimensionality	B-Algorithm
reduction	I-Algorithm
(	O
the	O
transformation	O
of	O
data	O
from	O
a	O
high-dimensional	O
space	O
into	O
a	O
low-dimensional	O
space	O
)	O
.	O
</s>
<s>
SM	O
performs	O
dimensionality	B-Algorithm
reduction	I-Algorithm
by	O
clustering	B-Algorithm
the	O
original	O
features	O
in	O
semantic	O
clusters	O
and	O
combining	O
features	O
mapped	O
in	O
the	O
same	O
cluster	O
to	O
generate	O
an	O
extracted	O
feature	O
.	O
</s>
<s>
Given	O
a	O
data	B-General_Concept
set	I-General_Concept
,	O
this	O
method	O
constructs	O
a	O
projection	B-Algorithm
matrix	I-Algorithm
that	O
can	O
be	O
used	O
to	O
map	O
a	O
data	O
element	O
from	O
a	O
high-dimensional	O
space	O
into	O
a	O
reduced	O
dimensional	O
space	O
.	O
</s>
<s>
SM	O
can	O
be	O
applied	O
in	O
construction	O
of	O
text	B-Algorithm
mining	I-Algorithm
and	O
information	B-Library
retrieval	I-Library
systems	I-Library
,	O
as	O
well	O
as	O
systems	O
managing	O
vectors	O
of	O
high	O
dimensionality	O
.	O
</s>
<s>
SM	O
is	O
an	O
alternative	O
to	O
random	B-General_Concept
mapping	I-General_Concept
,	O
principal	B-Application
components	I-Application
analysis	I-Application
and	O
latent	O
semantic	O
indexing	O
methods	O
.	O
</s>
