v2010.10.26 - Convex Optimization

16 LIST OF FIGURES95 10-lattice localization solution . . . . . . . . . . . . . . . . . . 32896 100 randomized noiseless sensor localization . . . . . . . . . . 32897 100 randomized sensors localization . . . . . . . . . . . . . . . 32998 Regularization curve for convex iteration . . . . . . . . . . . . 33299 1-norm heuristic . . . . . . . . . . . . . . . . . . . . . . . . . . 335100 Sparse sampling theorem . . . . . . . . . . . . . . . . . . . . . 339101 Signal dropout . . . . . . . . . . . . . . . . . . . . . . . . . . 343102 Signal dropout reconstruction . . . . . . . . . . . . . . . . . . 344103 Simplex with intersecting line problem in compressed sensing . 346104 Geometric interpretations of sparse-sampling constraints . . . 349105 Permutation matrix column-norm and column-sum constraint 357106 max cut problem . . . . . . . . . . . . . . . . . . . . . . . . 366107 Shepp-Logan phantom . . . . . . . . . . . . . . . . . . . . . . 371108 MRI radial sampling pattern in Fourier domain . . . . . . . . 376109 Aliased phantom . . . . . . . . . . . . . . . . . . . . . . . . . 378110 Neighboring-pixel stencil on Cartesian grid . . . . . . . . . . . 380111 Differentiable almost everywhere . . . . . . . . . . . . . . . . . 382112 MIT logo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 386113 One-pixel camera . . . . . . . . . . . . . . . . . . . . . . . . . 386114 One-pixel camera - compression estimates . . . . . . . . . . . 3885 Euclidean Distance Matrix 395115 Convex hull of three points . . . . . . . . . . . . . . . . . . . . 396116 Complete dimensionless EDM graph . . . . . . . . . . . . . . 399117 Fifth Euclidean metric property . . . . . . . . . . . . . . . . . 401118 Fermat point . . . . . . . . . . . . . . . . . . . . . . . . . . . 410119 Arbitrary hexagon in R 3 . . . . . . . . . . . . . . . . . . . . . 412120 Kissing number . . . . . . . . . . . . . . . . . . . . . . . . . . 413121 Trilateration . . . . . . . . . . . . . . . . . . . . . . . . . . . . 418122 This EDM graph provides unique isometric reconstruction . . 422123 Two sensors • and three anchors ◦ . . . . . . . . . . . . . . . 422124 Two discrete linear trajectories of sensors . . . . . . . . . . . . 423125 Coverage in cellular telephone network . . . . . . . . . . . . . 426126 Contours of equal signal power . . . . . . . . . . . . . . . . . . 426127 Depiction of molecular conformation . . . . . . . . . . . . . . 428128 Square diamond . . . . . . . . . . . . . . . . . . . . . . . . . . 437129 Orthogonal complements in S N abstractly oriented . . . . . . . 440