25.02.2015 Views

Approximation of Hessian Matrix for Second-order SPSA Algorithm ...

Approximation of Hessian Matrix for Second-order SPSA Algorithm ...

Approximation of Hessian Matrix for Second-order SPSA Algorithm ...

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

List <strong>of</strong> Tables<br />

Table 2.1 Characteristics <strong>of</strong> the perturbation distributions 55<br />

Table 2.2 Normalized loss values <strong>for</strong> 1st-<strong>SPSA</strong> and M2-<strong>SPSA</strong> with σ = 0.001;<br />

90% confidence interval shown in [⋅]<br />

72<br />

Table 2.3. Values <strong>of</strong><br />

Table 2.4 Values <strong>of</strong><br />

*<br />

θˆ<br />

k<br />

− θ<br />

with no measurement noise 74<br />

ˆ *<br />

θ − θ<br />

0<br />

*<br />

θˆ<br />

k<br />

− θ<br />

with measurement noise 74<br />

ˆ *<br />

θ − θ<br />

0<br />

Table 2.5 Comparison <strong>of</strong> estimators 76<br />

Table 3.1 Comparison <strong>of</strong> estimators (non-linear observer) 92<br />

Table 3.2 Comparison <strong>of</strong> estimators (MR-SMC) 92<br />

Table 3.3 Per<strong>for</strong>mance comparisons among M2-<strong>SPSA</strong>, RM-SA and LS 93<br />

Table 5.1 Computational statistics 123<br />

Table 6.1. Comparison <strong>of</strong> algorithms (per<strong>for</strong>mance) 127<br />

Table 6.2. Comparison <strong>of</strong> algorithms (computational cost) 128<br />

xiii

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!