\beamer@endinputifotherversion {3.10pt} \select@language {english} \beamer@sectionintoc {2}{Definition of Inverse Optimization}{5}{1}{1} \beamer@subsectionintoc {2}{1}{General Definition}{5}{1}{1} \beamer@subsectionintoc {2}{2}{Inverse Optimization of Integer Programming}{11}{1}{1} \beamer@sectionintoc {3}{Applications of Inverse Optimization}{24}{1}{2} \beamer@sectionintoc {4}{Complexity of Inverse Opimization}{28}{1}{3} \beamer@subsectionintoc {4}{1}{The polynomial Hierarchy}{28}{1}{3} \beamer@subsectionintoc {4}{2}{Inverse Optimization and the Polynomial Heirarchy}{40}{1}{3}