simpeg/notebooks/Bound Constraint Problem.ipynb

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  "name": ""
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  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import SimPEG\n",
      "from SimPEG.mesh import TensorMesh\n",
      "from SimPEG.regularization import Regularization\n",
      "import SimPEG.inverse as inverse\n",
      "from SimPEG.inverse import Minimize\n",
      "import numpy as np\n",
      "import scipy.sparse as sp"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from SimPEG.forward.LinearProblem import example as LinExample\n",
      "\n",
      "prob, m_true = LinExample(1000)\n",
      "M = prob.mesh\n",
      "\n",
      "reg = Regularization(M)\n",
      "opt = inverse.InexactGaussNewton(maxIter=100,debug=False,LSreduction=0.3,maxIterLS=50)\n",
      "inv = inverse.Inversion(prob,reg,opt,beta0=1e-4,maxIter=2)\n",
      "m0 = np.zeros_like(m_true)\n",
      "\n",
      "mrec = inv.run(m0)\n",
      "\n",
      "plt.plot(M.vectorCCx, m_true, 'b-')\n",
      "plt.plot(M.vectorCCx, mrec, 'r-')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "=================== Inexact Gauss Newton ===================\n",
        "  #     beta     phi_d     phi_m       f        |g|     LS  \n",
        "------------------------------------------------------------\n",
        "   0  1.00e-04  9.53e+02  0.00e+00  9.53e+02  8.99e+03   0  \n",
        "   1  1.00e-04  6.23e-01  2.62e+04  3.24e+00  1.53e+01   0  \n",
        "   2  1.00e-04  8.70e-02  2.29e+04  2.37e+00  1.15e+02   0  \n",
        "   3  1.00e-04  4.58e-02  2.28e+04  2.32e+00  1.02e+00   0  \n",
        "   4  1.00e-04  3.59e-02  2.27e+04  2.31e+00  1.49e+01   0  "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   5  1.00e-04  2.80e-02  2.27e+04  2.30e+00  5.71e-01   0  \n",
        "   6  1.00e-04  2.46e-02  2.27e+04  2.30e+00  1.50e+01   0  \n",
        "   7  1.00e-04  2.17e-02  2.27e+04  2.29e+00  3.62e-01   0  \n",
        "   8  1.00e-04  2.05e-02  2.27e+04  2.29e+00  2.61e-01   0  "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   9  1.00e-04  1.91e-02  2.27e+04  2.29e+00  2.59e-01   0  \n",
        "  10  1.00e-04  1.85e-02  2.27e+04  2.29e+00  1.98e-01   0  \n",
        "  11  1.00e-04  1.76e-02  2.27e+04  2.29e+00  2.06e-01   0  \n",
        "  12  1.00e-04  1.73e-02  2.27e+04  2.29e+00  1.64e-01   0  "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  13  1.00e-04  1.66e-02  2.27e+04  2.29e+00  1.74e-01   0  \n",
        "  14  1.00e-04  1.63e-02  2.27e+04  2.29e+00  2.93e-01   0  \n",
        "  15  1.00e-04  1.58e-02  2.27e+04  2.29e+00  1.51e-01   0  \n",
        "  16  1.00e-04  1.56e-02  2.27e+04  2.29e+00  1.22e-01   0  "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  17  1.00e-04  1.51e-02  2.27e+04  2.29e+00  1.33e-01   0  \n",
        "  18  1.00e-04  1.50e-02  2.27e+04  2.29e+00  1.07e-01   0  \n",
        "  19  1.00e-04  1.46e-02  2.27e+04  2.29e+00  5.30e-01   0  \n",
        "  20  1.00e-04  1.45e-02  2.27e+04  2.28e+00  9.43e-02   0  "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "------------------------- STOP! -------------------------\n",
        "1 : |fc-fOld| = 2.2048e-04 <= tolF*(1+|f0|) = 9.5415e+01\n",
        "1 : |xc-x_last| = 7.2682e-03 <= tolX*(1+|x0|) = 1.0000e-01\n",
        "1 : |g|       = 9.4320e-02 <= tolG          = 1.0000e-01\n",
        "0 : |g|       = 9.4320e-02 <= 1e3*eps       = 1.0000e-02\n",
        "0 : maxIter   =     100    <= iter          =     20\n",
        "------------------------- DONE! -------------------------\n",
        "20"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
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       "text": [
        "<matplotlib.figure.Figure at 0x1109cd810>"
       ]
      }
     ],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def Quadratic(x, return_g=True, return_H=True):\n",
      "    A = sp.identity(2)\n",
      "    b = np.array([-5,-5])\n",
      "    f = 0.5 * x.dot( A.dot(x)) + b.dot( x )\n",
      "    out = (f,)\n",
      "    if return_g:\n",
      "        g = A.dot(x) + b\n",
      "        out += (g,)\n",
      "    if return_H:\n",
      "        H = A\n",
      "        out += (H,)\n",
      "    return out if len(out) > 1 else out[0]\n",
      "\n",
      "# FUN = SimPEG.tests.Rosenbrock\n",
      "FUN = Quadratic\n",
      "\n",
      "f = FUN(np.array([1,2]))\n",
      "print f\n",
      "n = 50\n",
      "l = -10\n",
      "u = 10\n",
      "I = np.zeros((n,n))\n",
      "X = np.linspace(l,u,n)\n",
      "for i, x in enumerate(X):\n",
      "    for j, y in enumerate(X):\n",
      "        f, g, H = FUN(np.array([x,y]))\n",
      "        I[i,j] = f\n",
      "\n",
      "colorbar(contourf(X,X, I.T))\n",
      "\n",
      "GN = inverse.GaussNewton()\n",
      "xopt = GN.minimize(FUN,np.array([0,0]))\n",
      "print xopt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(-12.5, array([-4., -3.]), <2x2 sparse matrix of type '<type 'numpy.float64'>'\n",
        "\twith 2 stored elements (1 diagonals) in DIAgonal format>)\n",
        "======== Gauss Newton ========"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  #      f        |g|     LS  \n",
        "------------------------------\n",
        "   0  0.00e+00  7.07e+00   0  \n",
        "   1 -2.50e+01  0.00e+00   0  \n",
        "------------------------- STOP! -------------------------\n",
        "0 : |fc-fOld| = 2.5000e+01 <= tolF*(1+|f0|) = 1.0000e-01\n",
        "0 : |xc-x_last| = 7.0711e+00 <= tolX*(1+|x0|) = 1.0000e-01\n",
        "1 : |g|       = 0.0000e+00 <= tolG          = 1.0000e-01\n",
        "1 : |g|       = 0.0000e+00 <= 1e3*eps       = 1.0000e-02\n",
        "0 : maxIter   =      20    <= iter          =      1\n",
        "------------------------- DONE! -------------------------\n",
        "[ 5.  5.]\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/Users/rowan/Library/Enthought/Canopy_64bit/User/lib/python2.7/site-packages/scipy/sparse/linalg/dsolve/linsolve.py:87: SparseEfficiencyWarning: spsolve requires A be CSC or CSR matrix format\n",
        "  warn('spsolve requires A be CSC or CSR matrix format', SparseEfficiencyWarning)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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WhnPnziEpKanfmcnZs2fjsTQRkSaqTqexnTlzBpmZmejq6sKOHTvw4IMPAtCe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\nBFYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10c840c50>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "opt = inverse.ProjectedGradient(maxIter=50,maxStep=np.inf, maxIterLS=20, debug=False)\n",
      "opt.remember('f')\n",
      "opt.lower = np.array([-2,-1])\n",
      "opt.upper = np.array([2,10])\n",
      "opt.minimize(FUN,np.array([50,0]))\n",
      "plot(opt.recall('f'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "===================== Projected Gradient =====================\n",
        "  #      f        |g|     LS   itType   aSet    bSet  Comment\n",
        "-------------------------------------------------------------\n",
        "   0 -8.00e+00  5.83e+00   0     SD      1       1           \n",
        "   1 -2.05e+01  3.00e+00   0     SD      1       1           \n",
        "   2 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   3 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   4 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   5 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   6 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   7 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   8 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "   9 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  10 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  11 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  12 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  13 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  14 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  15 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  16 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  17 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  18 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  19 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  20 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  21 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  22 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  23 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  24 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  25 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  26 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  27 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  28 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  29 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  30 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  31 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  32 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  33 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  34 -2.05e+01  3.00e+00   0    .CG.     1       1           "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  35 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  36 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  37 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  38 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  39 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  40 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  41 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  42 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  43 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  44 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  45 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  46 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  47 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  48 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  49 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "  50 -2.05e+01  3.00e+00   0    .CG.     1       1           \n",
        "------------------------- STOP! -------------------------\n",
        "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 9.0000e-01\n",
        "1 : |xc-x_last| = 0.0000e+00 <= tolX*(1+|x0|) = 3.0000e-01\n",
        "0 : |g|       = 2.0000e+00 <= tolG          = 1.0000e-01\n",
        "0 : |g|       = 3.0000e+00 <= 1e3*eps       = 1.0000e-02\n",
        "1 : maxIter   =      50    <= iter          =     50\n",
        "0 : probSize  =      2   <= bindingSet      =      1\n",
        "------------------------- DONE! -------------------------\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10df6f090>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x10c8d1b50>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "opt = inverse.ProjectedGradient(maxIter=50, maxStep=0.3,debug=False, maxIterLS=20, tolCG=1e-5, maxIterCG=1000)\n",
      "opt.lower, opt.upper = -0.4, 0.9\n",
      "opt.remember('f', 'xc', ('norm_g', lambda M: np.linalg.norm(M.g)), 'phi_d', 'phi_m')\n",
      "inv = inverse.Inversion(prob,reg,opt,beta0=1e-4)\n",
      "m0 = np.zeros_like(m_true)\n",
      "mrecB = inv.run(m0)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "==================================== Projected Gradient ====================================\n",
        "  #     beta     phi_d     phi_m       f        |g|     LS   itType   aSet    bSet  Comment\n",
        "-------------------------------------------------------------------------------------------\n",
        "   0  1.00e-04  9.78e+02  0.00e+00  9.78e+02  7.08e+03   0     SD      0       0           \n",
        "   1  1.00e-04  9.48e+02  3.40e-02  9.48e+02  2.32e+02   8     SD      0       0           \n",
        "   2  1.00e-04  5.30e+02  1.47e+03  5.30e+02  1.73e+02   0    .CG.     0       0           "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   3  1.00e-04  2.32e+02  5.87e+03  2.33e+02  1.15e+02   0    .CG.     0       0           "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   4  1.00e-04  1.30e+02  9.16e+03  1.31e+02  1.19e+03   1    .CG.     21      21          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   5  1.00e-04  1.29e+02  9.16e+03  1.30e+02  6.04e+02  10     SD      21      0           \n",
        "   6  1.00e-04  6.84e+01  1.30e+04  6.97e+01  2.64e+03   1    .CG.     59      59          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   7  1.00e-04  6.47e+01  1.30e+04  6.60e+01  9.40e+02   9     SD      59      0           \n",
        "   8  1.00e-04  5.79e+01  1.39e+04  5.93e+01  1.83e+03   3    .CG.     89      85          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "   9  1.00e-04  5.78e+01  1.39e+04  5.92e+01  1.75e+03   9     SD      85      7           \n",
        "  10  1.00e-04  5.68e+01  1.39e+04  5.81e+01  1.17e+03  10     SD      11      8    Stop SD\n",
        "  11  1.00e-04  5.67e+01  1.39e+04  5.81e+01  1.18e+03  12    .CG.     89      86          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  12  1.00e-04  5.61e+01  1.39e+04  5.75e+01  6.03e+02  10     SD      86      15   Stop SD\n",
        "  13  1.00e-04  3.93e+01  2.72e+04  4.20e+01  6.11e+03   0    .CG.    216     157          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  14  1.00e-04  1.76e+01  2.72e+04  2.03e+01  9.85e+02   8     SD     157      6           \n",
        "  15  1.00e-04  1.71e+01  2.72e+04  1.99e+01  4.69e+02  11     SD      8       8           \n",
        "  16  1.00e-04  1.71e+01  2.72e+04  1.98e+01  4.28e+02  11     SD      62      22   Stop SD\n",
        "  17  1.00e-04  1.71e+01  2.71e+04  1.98e+01  4.04e+02   7    .CG.    199     165          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  18  1.00e-04  1.70e+01  2.71e+04  1.97e+01  4.59e+01  12     SD     165     164          \n",
        "  19  1.00e-04  1.70e+01  2.71e+04  1.97e+01  4.57e+01  15     SD     176     176          \n",
        "  20  1.00e-04  1.70e+01  2.71e+04  1.97e+01  6.65e+01  14     SD     183     182   Stop SD\n",
        "  21  1.00e-04  1.69e+01  2.72e+04  1.97e+01  2.83e+02   8    .CG.    213      86          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  22  1.00e-04  1.69e+01  2.72e+04  1.96e+01  7.42e+01  13     SD      86      73          \n",
        "  23  1.00e-04  1.69e+01  2.72e+04  1.96e+01  4.78e+01  14     SD     187     187          \n",
        "  24  1.00e-04  1.69e+01  2.72e+04  1.96e+01  4.35e+01  15     SD     210     209   Stop SD\n",
        "  25  1.00e-04  9.31e+00  3.57e+04  1.29e+01  9.48e+02   1    .CG.    235      80          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  26  1.00e-04  8.92e+00  3.57e+04  1.25e+01  4.85e+02  11     SD      80      13          \n",
        "  27  1.00e-04  8.88e+00  3.57e+04  1.24e+01  4.15e+02  11     SD      48      21   Stop SD\n",
        "  28  1.00e-04  8.80e+00  3.56e+04  1.24e+01  9.73e+01   8    .CG.    209     180          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  29  1.00e-04  8.80e+00  3.56e+04  1.24e+01  2.17e+01  14     SD     180     180          \n",
        "  30  1.00e-04  8.80e+00  3.56e+04  1.24e+01  2.53e+01  16     SD     202     202   Stop SD\n",
        "  31  1.00e-04  8.78e+00  3.57e+04  1.23e+01  2.11e+02   7    .CG.    235     105          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  32  1.00e-04  8.76e+00  3.57e+04  1.23e+01  1.41e+02  13     SD     105      56          \n",
        "  33  1.00e-04  8.75e+00  3.57e+04  1.23e+01  8.27e+01  13     SD     183     157          \n",
        "  34  1.00e-04  8.75e+00  3.57e+04  1.23e+01  1.89e+01  15     SD     182     182          \n",
        "  35  1.00e-04  8.75e+00  3.57e+04  1.23e+01  7.51e+01  13     SD     233     208          \n",
        "  36  1.00e-04  8.75e+00  3.57e+04  1.23e+01  2.09e+01  15     SD     208     208   Stop SD\n",
        "  37  1.00e-04  8.75e+00  3.57e+04  1.23e+01  2.74e+01  13    .CG.    234     227          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  38  1.00e-04  8.75e+00  3.57e+04  1.23e+01  3.25e+01  15     SD     227     227   Stop SD\n",
        "  39  1.00e-04  8.65e+00  3.60e+04  1.23e+01  3.73e+02   5    .CG.    236      91          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  40  1.00e-04  8.63e+00  3.60e+04  1.22e+01  3.37e+02  12     SD      91      26          \n",
        "  41  1.00e-04  8.57e+00  3.60e+04  1.22e+01  1.14e+02  12     SD     141      78   Stop SD\n",
        "  42  1.00e-04  8.57e+00  3.60e+04  1.22e+01  1.13e+02  14    .CG.    224     132          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  43  1.00e-04  8.57e+00  3.60e+04  1.22e+01  6.28e+01  14     SD     138     116   Stop SD\n",
        "  44  1.00e-04  8.57e+00  3.60e+04  1.22e+01  6.34e+01  17    .CG.    214     192          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  45  1.00e-04  8.56e+00  3.60e+04  1.22e+01  4.77e+01  14     SD     208     201   Stop SD\n",
        "  46  1.00e-04  8.56e+00  3.60e+04  1.22e+01  4.84e+01  16    .CG.    230     223          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  47  1.00e-04  8.56e+00  3.60e+04  1.22e+01  3.88e+01  15     SD     225     211   Stop SD\n",
        "  48  1.00e-04  6.48e+00  4.91e+04  1.14e+01  1.51e+03   0    .CG.    264     170          "
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "  49  1.00e-04  5.17e+00  4.91e+04  1.01e+01  2.64e+02  10     SD     170      14          \n",
        "  50  1.00e-04  5.14e+00  4.91e+04  1.00e+01  1.04e+02  13     SD      16      16          \n",
        "------------------------- STOP! -------------------------\n",
        "1 : |fc-fOld| = 3.5178e-02 <= tolF*(1+|f0|) = 9.7931e+01\n",
        "1 : |xc-x_last| = 4.3861e-04 <= tolX*(1+|x0|) = 1.0000e-01\n",
        "0 : |g|       = 1.7094e+01 <= tolG          = 1.0000e-01\n",
        "0 : |g|       = 1.0410e+02 <= 1e3*eps       = 1.0000e-02\n",
        "1 : maxIter   =      50    <= iter          =     50\n",
        "0 : probSize  =    1000   <= bindingSet      =     16\n",
        "------------------------- DONE! -------------------------\n"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# First set up the figure, the axis, and the plot element we want to animate\n",
      "fig = plt.figure()\n",
      "ax = plt.axes()\n",
      "ax.plot(M.vectorCCx, m_true, 'b-')\n",
      "txt = plt.text(0.8,0.9,'')\n",
      "line, = ax.plot([], [], 'r-', lw=1)\n",
      "\n",
      "def animate(i):\n",
      "    txt.set_text('iteration %d'%i)\n",
      "    line.set_data(M.vectorCCx, np.array(opt.recall('xc')[i]))\n",
      "\n",
      "SimPEG.utils.animate(fig, animate, frames=len(opt.recall('xc')))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
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        "\" type=\"video/mp4\">\n",
        " Your browser does not support the video tag.\n",
        "</video>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<matplotlib.animation.FuncAnimation at 0x1106025d0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(opt.recall('phi_m'))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "[<matplotlib.lines.Line2D at 0x1105d5c50>]"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BqqoqUlNTqaystE1/3HrrrRQUFAAwduxYJk+eTCgUsm1/pKWlAdDR0cH58+dJ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\niIhYFAoiImL5f8wU3otJTxQbAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11059e0d0>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}