<s>
That	O
is	O
,	O
the	O
problem	O
suffers	O
the	O
curse	B-Algorithm
of	I-Algorithm
dimensionality	I-Algorithm
.	O
</s>
<s>
Starting	O
in	O
early	O
1992	O
,	O
J	O
.	O
F	O
.	O
Traub	O
,	O
Columbia	O
University	O
,	O
and	O
a	O
graduate	O
student	O
at	O
the	O
time	O
,	O
S	O
.	O
Paskov	O
,	O
used	O
quasi-Monte	B-Algorithm
Carlo	I-Algorithm
(	O
QMC	O
)	O
to	O
price	O
a	O
Collateralized	O
mortgage	O
obligation	O
with	O
parameters	O
specified	O
by	O
Goldman	O
Sachs	O
.	O
</s>
<s>
Thus	O
,	O
the	O
cost	O
of	O
the	O
algorithm	O
that	O
has	O
error	O
is	O
of	O
order	O
breaking	O
the	O
curse	B-Algorithm
of	I-Algorithm
dimensionality	I-Algorithm
.	O
</s>
<s>
The	O
standard	O
terminology	O
quasi-Monte	B-Algorithm
Carlo	I-Algorithm
is	O
somewhat	O
unfortunate	O
since	O
MC	O
is	O
a	O
randomized	O
method	O
whereas	O
QMC	O
is	O
purely	O
deterministic	O
.	O
</s>
<s>
If	O
the	O
weights	O
decrease	O
sufficiently	O
rapidly	O
the	O
curse	B-Algorithm
of	I-Algorithm
dimensionality	I-Algorithm
is	O
broken	O
even	O
with	O
a	O
worst	O
case	O
guarantee	O
.	O
</s>
<s>
the	O
remarkable	O
success	O
of	O
quasi-Monte	B-Algorithm
Carlo	I-Algorithm
(	O
QMC	O
)	O
in	O
approximating	O
the	O
very-high-dimensional	O
integrals	O
in	O
finance	O
.	O
</s>
