lecture. - CASTLE Lab - Princeton University
lecture. - CASTLE Lab - Princeton University
lecture. - CASTLE Lab - Princeton University
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θ = [ −0.06 1.64 2.13 −0.70 ]<br />
4<br />
T<br />
3<br />
2<br />
1<br />
0<br />
−2 0 2<br />
3<br />
2<br />
1<br />
Introduction and Notation<br />
θ = [ −0.26 1.44 1.93 −0.90 ]<br />
4<br />
T<br />
0<br />
−2 0 2<br />
Cθ = {x ∈ R2 ⎢<br />
: Ax θ} where A = ⎢<br />
⎣<br />
⎡<br />
θ = [ −0.46 1.24 1.73 −1.10 ]<br />
4<br />
T<br />
3<br />
2<br />
1<br />
−0.83 −0.43<br />
0.57 0.63<br />
0.28 0.80<br />
1.14 −0.90<br />
0<br />
−2 0 2<br />
⎤<br />
⎥<br />
⎦<br />
⎡<br />
⎢<br />
and θ = ⎢<br />
⎣<br />
θ = [ −0.66 1.04 1.53 −1.30 ]<br />
4<br />
T<br />
3<br />
2<br />
1<br />
0<br />
−2 0 2<br />
−0.06<br />
1.64<br />
2.13<br />
0.70<br />
⎤<br />
⎡<br />
⎥<br />
⎦−0.2k ⎢<br />
⎣<br />
Figure: Convex polyhedra described by Cθ k = {x ∈ R 2 : Ax θk}, for k = 0,1,2,3<br />
(left to right).<br />
Boris Defourny (ORFE) Lecture 6: Perturbation Analysis in Optimization March 15,2012 6 / 26<br />
1<br />
1<br />
1<br />
1<br />
⎤<br />
⎥<br />
⎦