Pareto Optimal Solutions for Smoothed Analysts

141 Pages·2011·1.19 MB·English

Pareto Optimal Solutions
for Smoothed Analysts
Ankur Moitra, IAS
joint work with Ryan O’Donnell, CMU
September 26, 2011
AnkurMoitra (IAS) Pareto September26,2011
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
Not Pareto Optimal
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
Pareto Optimal!
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
e
u
l
a
v
W − weight
values v ... v v ... v W
1 i i+1 n
weights w ... w w ... w
1 i i+1 n
e
u PO(i)
l
a
v
W − weight