\BOOKMARK [1][-]{section.1}{Low-rank structure}{}% 1 \BOOKMARK [1][-]{section.2}{Example Applications}{}% 2 \BOOKMARK [1][-]{section.3}{The Singular Value Decomposition}{}% 3 \BOOKMARK [1][-]{section.4}{Greedily constructing low-rank approximations}{}% 4 \BOOKMARK [1][-]{section.5}{Computing the best rank-1 approximation}{}% 5 \BOOKMARK [1][-]{section.6}{Connection to Other Matrix Decompositions}{}% 6 \BOOKMARK [1][-]{section.7}{The Power Method}{}% 7 \BOOKMARK [1][-]{section.8}{Beyond Power Method}{}% 8 \BOOKMARK [1][-]{section.9}{Matrix decomposition and graphs}{}% 9 \BOOKMARK [1][-]{section.10}{Planted Bisection/Stochastic Block Model/Community Detection}{}% 10 \BOOKMARK [1][-]{section.11}{Eigenvalues of Random matrices}{}% 11