\beamer@endinputifotherversion {3.01pt} \headcommand {\slideentry {0}{0}{1}{1/1}{}{0}} \headcommand {\beamer@framepages {1}{1}} \headcommand {\slideentry {0}{0}{2}{2/2}{}{0}} \headcommand {\beamer@framepages {2}{2}} \headcommand {\slideentry {0}{0}{3}{3/3}{}{0}} \headcommand {\beamer@framepages {3}{3}} \headcommand {\sectionentry {1}{ Motivation, Notation, Preliminaries}{4}{ Motivation, Notation, Preliminaries}{0}} \headcommand {\beamer@sectionpages {1}{3}} \headcommand {\beamer@subsectionpages {1}{3}} \headcommand {\slideentry {1}{0}{4}{4/5}{}{0}} \headcommand {\beamer@framepages {4}{5}} \headcommand {\slideentry {1}{0}{5}{6/6}{}{0}} \headcommand {\beamer@framepages {6}{6}} \headcommand {\slideentry {1}{0}{6}{7/8}{}{0}} \headcommand {\beamer@framepages {7}{8}} \headcommand {\beamer@subsectionpages {4}{8}} \headcommand {\slideentry {1}{1}{1}{9/9}{SDP Duality Gap Example}{0}} \headcommand {\beamer@framepages {9}{9}} \headcommand {\slideentry {1}{1}{2}{10/10}{SDP Duality Gap Example}{0}} \headcommand {\beamer@framepages {10}{10}} \headcommand {\slideentry {1}{1}{3}{11/12}{SDP Duality Gap Example}{0}} \headcommand {\beamer@framepages {11}{12}} \headcommand {\beamer@subsectionpages {9}{12}} \headcommand {\slideentry {1}{2}{1}{13/14}{SUBSPACE FORM and MINIMAL REPRESENTATIONS}{0}} \headcommand {\beamer@framepages {13}{14}} \headcommand {\slideentry {1}{2}{2}{15/16}{SUBSPACE FORM and MINIMAL REPRESENTATIONS}{0}} \headcommand {\beamer@framepages {15}{16}} \headcommand {\slideentry {1}{2}{3}{17/17}{SUBSPACE FORM and MINIMAL REPRESENTATIONS}{0}} \headcommand {\beamer@framepages {17}{17}} \headcommand {\beamer@subsectionpages {13}{17}} \headcommand {\slideentry {1}{3}{1}{18/19}{Recession Directions and Minimal Subspaces}{0}} \headcommand {\beamer@framepages {18}{19}} \headcommand {\slideentry {1}{3}{2}{20/20}{Recession Directions and Minimal Subspaces}{0}} \headcommand {\beamer@framepages {20}{20}} \headcommand {\slideentry {1}{3}{3}{21/21}{Recession Directions and Minimal Subspaces}{0}} \headcommand {\beamer@framepages {21}{21}} \headcommand {\slideentry {1}{3}{4}{22/22}{Recession Directions and Minimal Subspaces}{0}} \headcommand {\beamer@framepages {22}{22}} \headcommand {\slideentry {1}{3}{5}{23/23}{Recession Directions and Minimal Subspaces}{0}} \headcommand {\beamer@framepages {23}{23}} \headcommand {\sectionentry {2}{REGULARIZATION for Cone Programs}{24}{REGULARIZATION for Cone Programs}{0}} \headcommand {\beamer@sectionpages {4}{23}} \headcommand {\beamer@subsectionpages {18}{23}} \headcommand {\beamer@subsectionpages {24}{23}} \headcommand {\slideentry {2}{1}{1}{24/25}{Minimal Representations using MINIMAL FACE}{0}} \headcommand {\beamer@framepages {24}{25}} \headcommand {\beamer@subsectionpages {24}{25}} \headcommand {\slideentry {2}{2}{1}{26/28}{Minimal Representations using MINIMAL SUBSPACE}{0}} \headcommand {\beamer@framepages {26}{28}} \headcommand {\slideentry {2}{2}{2}{29/30}{Minimal Representations using MINIMAL SUBSPACE}{0}} \headcommand {\beamer@framepages {29}{30}} \headcommand {\beamer@subsectionpages {26}{30}} \headcommand {\slideentry {2}{3}{1}{31/32}{Constraint Qualifications, CQs, for (P)}{0}} \headcommand {\beamer@framepages {31}{32}} \headcommand {\sectionentry {3}{Towards a Better regularization}{33}{Towards a Better regularization}{0}} \headcommand {\beamer@sectionpages {24}{32}} \headcommand {\beamer@subsectionpages {31}{32}} \headcommand {\slideentry {3}{0}{2}{33/33}{}{0}} \headcommand {\beamer@framepages {33}{33}} \headcommand {\slideentry {3}{0}{3}{34/35}{}{0}} \headcommand {\beamer@framepages {34}{35}} \headcommand {\beamer@subsectionpages {33}{35}} \headcommand {\slideentry {3}{1}{1}{36/36}{A {Stable} Auxiliary Problem}{0}} \headcommand {\beamer@framepages {36}{36}} \headcommand {\slideentry {3}{1}{2}{37/37}{A {Stable} Auxiliary Problem}{0}} \headcommand {\beamer@framepages {37}{37}} \headcommand {\slideentry {3}{1}{3}{38/38}{A {Stable} Auxiliary Problem}{0}} \headcommand {\beamer@framepages {38}{38}} \headcommand {\sectionentry {4}{Numerical Tests}{39}{Numerical Tests}{0}} \headcommand {\beamer@sectionpages {33}{38}} \headcommand {\beamer@subsectionpages {36}{38}} \headcommand {\slideentry {4}{0}{4}{39/39}{}{0}} \headcommand {\beamer@framepages {39}{39}} \headcommand {\slideentry {4}{0}{5}{40/40}{}{0}} \headcommand {\beamer@framepages {40}{40}} \headcommand {\sectionentry {5}{Strict Complementarity and Nonzero Duality Gaps}{41}{Strict Complementarity and Nonzero Duality Gaps}{0}} \headcommand {\beamer@sectionpages {39}{40}} \headcommand {\beamer@subsectionpages {39}{40}} \headcommand {\slideentry {5}{0}{6}{41/42}{}{0}} \headcommand {\beamer@framepages {41}{42}} \headcommand {\slideentry {5}{0}{7}{43/45}{}{0}} \headcommand {\beamer@framepages {43}{45}} \headcommand {\slideentry {5}{0}{8}{46/48}{}{0}} \headcommand {\beamer@framepages {46}{48}} \headcommand {\beamer@subsectionpages {41}{48}} \headcommand {\slideentry {5}{1}{1}{49/49}{Generating Hard SDP Instances}{0}} \headcommand {\beamer@framepages {49}{49}} \headcommand {\slideentry {5}{1}{2}{50/50}{Generating Hard SDP Instances}{0}} \headcommand {\beamer@framepages {50}{50}} \headcommand {\slideentry {5}{1}{3}{51/51}{Generating Hard SDP Instances}{0}} \headcommand {\beamer@framepages {51}{51}} \headcommand {\slideentry {5}{1}{4}{52/52}{Generating Hard SDP Instances}{0}} \headcommand {\beamer@framepages {52}{52}} \headcommand {\slideentry {5}{1}{5}{53/53}{Generating Hard SDP Instances}{0}} \headcommand {\beamer@framepages {53}{53}} \headcommand {\beamer@subsectionpages {49}{53}} \headcommand {\slideentry {5}{2}{1}{54/54}{Complementarity Partition and Nonzero Duality Gap}{0}} \headcommand {\beamer@framepages {54}{54}} \headcommand {\slideentry {5}{2}{2}{55/55}{Complementarity Partition and Nonzero Duality Gap}{0}} \headcommand {\beamer@framepages {55}{55}} \headcommand {\slideentry {5}{2}{3}{56/56}{Complementarity Partition and Nonzero Duality Gap}{0}} \headcommand {\beamer@framepages {56}{56}} \headcommand {\slideentry {5}{2}{4}{57/57}{Complementarity Partition and Nonzero Duality Gap}{0}} \headcommand {\beamer@framepages {57}{57}} \headcommand {\slideentry {5}{2}{5}{58/58}{Complementarity Partition and Nonzero Duality Gap}{0}} \headcommand {\beamer@framepages {58}{58}} \headcommand {\sectionentry {6}{Concluding Remarks}{59}{Concluding Remarks}{0}} \headcommand {\beamer@sectionpages {41}{58}} \headcommand {\beamer@subsectionpages {54}{58}} \headcommand {\slideentry {6}{0}{6}{59/59}{}{0}} \headcommand {\beamer@framepages {59}{59}} \headcommand {\slideentry {6}{0}{7}{60/60}{}{0}} \headcommand {\beamer@framepages {60}{60}} \headcommand {\beamer@partpages {1}{60}} \headcommand {\beamer@subsectionpages {59}{60}} \headcommand {\beamer@sectionpages {59}{60}} \headcommand {\beamer@documentpages {60}} \headcommand {\def \inserttotalframenumber {43}}