\relax \@writefile{toc}{\contentsline {section}{\numberline {1}Image model}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Inferring an optimal representation}{1}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Method 1: $\mathop {\mathgroup \symoperators max}_{{\bf a},{\bf s}} P({\bf a},{\bf s}|{\bf I},\theta )$}{1}} \newlabel{eq:log-posterior-terms}{{10}{1}} \newlabel{eq:flip-rule}{{23}{2}} \newlabel{eq:dE1}{{39}{3}} \newlabel{eq:change-sol}{{45}{4}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Method 2: $\mathop {\mathgroup \symoperators max}_{{\bf s}} \intop \nolimits P({\bf a},{\bf s}|{\bf I},\theta ) d{\bf a}$}{4}} \newlabel{eq:E-integral}{{52}{4}} \newlabel{eq:Es}{{62}{5}} \newlabel{eq:change-det}{{64}{5}} \newlabel{eq:dE2}{{66}{5}} \@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Algorithm for finding an optimal represention}{6}} \@writefile{toc}{\contentsline {section}{\numberline {3}Learning}{6}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}${\bf \Lambda _s}$}{6}} \newlabel{eq:si_prob-deriv}{{71}{6}} \newlabel{eq:prob-deriv}{{73}{6}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}${\bf \Lambda _a}({\bf s})$}{7}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}$\lambda _N$}{7}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.4}${\bf \Phi }$}{8}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.5}Computing $\delimiter "426830A {\bf a}\delimiter "526930B _{P({\bf a}|{\bf s},{\bf I},\theta )}$ and $\delimiter "426830A {\bf a}{\bf a}^T\delimiter "526930B _{P({\bf a}|{\bf s},{\bf I},\theta )}$}{8}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.6}Algorithm for adapting parameters}{8}} \@writefile{toc}{\contentsline {section}{\numberline {A}Proof of\nobreakspace {}(45\hbox {})}{9}} \newlabel{app:change-sol}{{A}{9}} \@writefile{toc}{\contentsline {section}{\numberline {B}Proof of\nobreakspace {}(64\hbox {})}{10}} \newlabel{app:change-det}{{B}{10}} \@writefile{toc}{\contentsline {section}{\numberline {C}Proof of\nobreakspace {}(73\hbox {})}{10}} \newlabel{app:prob-deriv}{{C}{10}} \@writefile{toc}{\contentsline {section}{\numberline {D}Proof of Equation (91)}{11}}