Files
simpeg/simpegPF/notebooks/Linear Inversion.ipynb
T
2014-03-03 08:53:19 -08:00

546 lines
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from SimPEG import *\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Warning: Python backend is being used for solver. Run setup.py from the command line.\n",
"Warning: mumps solver not available.\n",
"Warning: upgrade your scipy to 0.13.0"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"Populating the interactive namespace from numpy and matplotlib"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $$ Kernel(x, k) = e^{-pkx}cos(2 \\pi q k x) $$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"M = Mesh.TensorMesh([1000]) # Make a 1D mesh from 0-1 with 1000 cells\n",
"\n",
"nk = 20 #: The number of kernals\n",
"p = q = 0.25 #: Some constants\n",
"\n",
"# Create a function for each row of the matrix\n",
"g = lambda k, x: np.exp(-p*k*x)*np.cos(2*np.pi*q*k*x)\n",
"\n",
"# Concatenate each row, and reshape\n",
"G = np.concatenate([g(i,M.vectorCCx) for i in range(nk)])\n",
"G.shape = (nk, M.nC)\n",
"\n",
"figure(figsize=(12,4))\n",
"plot(G.T)\n",
"title('Rows of G')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"<matplotlib.text.Text at 0x9bf1940>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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JSkoKPj4+JCYmNhzEXV5UeFBXij8ZxleTbfn8j6+Y07kbGr6fExZmxz//9MDI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0sbKCJ+1gKLZDSZwdnHV28OsrojigApbdRCzx9sYyHx942dj86cXiv4L0bUJx8S7U14fDPWUD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/yAzMxMzJkzB7fffjumTZsGL69eSE8HfvwR+OEHZcRx8WLF+hwS0uWP6BYGQwEaGg6ipmY/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\nENICgUAgEAgEAkE3+H9zyRehUxizSgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x9bdef60>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## $$ \\mathbf{d}_{pred} = \\mathbf{G}\\mathbf{m} $$"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mtrue = np.zeros(M.nC) # Create a zeros vector, here nC means: number of cells\n",
"mtrue[M.vectorCCx > 0.3] = 1.\n",
"mtrue[M.vectorCCx > 0.45] = -0.5\n",
"mtrue[M.vectorCCx > 0.6] = 0\n",
"figure(figsize=(12,4))\n",
"subplot(121)\n",
"# Create a few models\n",
"models = np.c_[mtrue, np.r_[mtrue[200:],mtrue[:200]]*0.5 - 0.2, \n",
" M.vectorCCx - 0.5, -M.vectorCCx + 0.75, \n",
" Utils.ModelBuilder.randomModel(1000,seed=751,its=20000)-0.3]\n",
"plot(M.vectorCCx, models)\n",
"title('A few synthetic model.')\n",
"xlabel('x');ylabel('Amplitude')\n",
"data = G.dot(models) #: this is matrix multiplication!!\n",
"subplot(122)\n",
"plot(data)\n",
"title('The data created by each model.')\n",
"xlim([0,19]);xlabel('Kernal Number, i');ylabel('g(i) * x')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 3,
"text": [
"<matplotlib.text.Text at 0x9fe2cc0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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aoRDzoqNRR7esCCEKxjE1n3eI4ziaOqmdfPwxoKkJfPKJsiORXVER4OgIFMte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\nREREWvp/8OzHe2TEgH0AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x9fb59b0>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class LinearProblem(Problem.BaseProblem):\n",
" \n",
" def __init__(self, mesh, model, G, **kwargs):\n",
" Problem.BaseProblem.__init__(self, mesh, model, **kwargs)\n",
" self.G = G\n",
"\n",
" def fields(self, m, u=None):\n",
" return self.G.dot(m)\n",
"\n",
" def Jvec(self, m, v, u=None):\n",
" return self.G.dot(v)\n",
"\n",
" def Jtvec(self, m, v, u=None):\n",
" return self.G.T.dot(v)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create a model, by default this is a model on the mesh\n",
"model = Model.BaseModel(M)\n",
"# Create the problem\n",
"prob = LinearProblem(M, model, G)\n",
"# create a simpeg data object, using a synthetic model and 5% noise\n",
"data = prob.createSyntheticData(models[:,0],std=0.05)\n",
"# Create an optimization program\n",
"opt = Optimization.InexactGaussNewton(maxIter=10)\n",
"# Create a regularization program\n",
"reg = Regularization.Tikhonov(model)\n",
"# Create an objective function\n",
"beta = Parameters.BetaSchedule??\n",
"obj = ObjFunction.BaseObjFunction(data, reg, beta=beta)\n",
"# Create an inversion object\n",
"inv = Inversion.BaseInversion(obj, opt)\n",
"# Start the inversion with a model of zeros, and run the inversion\n",
"m0 = data.mtrue*0\n",
"mopt = inv.run(m0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Warning: Parameter beta has switched to a new parent.\n",
"Regularization has not set mref. SimPEG will set it to m0.\n",
"============================ Inexact Gauss Newton ============================\n",
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
"-----------------------------------------------------------------------------\n",
" 0 1.00e+00 3.83e+03 0.00e+00 3.83e+03 1.94e+04 0 \n",
" 1 1.00e+00 3.78e+03 8.61e-06 3.78e+03 7.51e+02 0 \n",
" 2 1.00e+00 1.90e+02 2.66e+01 2.16e+02 1.24e+04 0 \n",
" 3 5.00e-01 1.10e+02 2.46e+01 1.22e+02 1.23e+04 0 Skip BFGS \n",
" 4 5.00e-01 6.72e+01 2.66e+01 8.05e+01 1.22e+04 0 \n",
" 5 5.00e-01 4.98e+01 2.38e+01 6.17e+01 1.21e+04 0 \n",
" 6 2.50e-01 3.05e+01 2.35e+01 3.64e+01 1.21e+04 0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" 7 2.50e-01 2.52e+01 2.57e+01 3.17e+01 1.19e+04 0 Skip BFGS \n",
" 8 2.50e-01 2.46e+01 2.28e+01 3.03e+01 1.18e+04 0 \n",
" 9 1.25e-01 2.42e+01 2.27e+01 2.71e+01 1.17e+04 0 \n",
" 10 1.25e-01 2.29e+01 2.63e+01 2.62e+01 1.15e+04 0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
"------------------------- STOP! -------------------------\n",
"1 : |fc-fOld| = 8.7439e-01 <= tolF*(1+|f0|) = 3.8260e+02\n",
"0 : |xc-x_last| = 2.1814e-01 <= tolX*(1+|x0|) = 1.0000e-01\n",
"0 : |proj(x-g)-x| = 1.1490e+04 <= tolG = 1.0000e-01\n",
"0 : |proj(x-g)-x| = 1.1490e+04 <= 1e3*eps = 1.0000e-02\n",
"1 : maxIter = 10 <= iter = 10\n",
"------------------------- DONE! -------------------------\n"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"beta = Parameters.BetaSchedule"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(M.vectorCCx, np.c_[data.mtrue, mopt])\n",
"xlabel('x')\n",
"legend(('true model','recovered model'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": [
"<matplotlib.legend.Legend at 0xa5f54e0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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5V4S+uKWJDCvrL8PINGn+ihApUfBroVe8V7j29BpCHUNFLtekjl+Pa4JOHTsh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\nvqpEUl4S4p7E4Ub+DaSXpiO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xoWP6NfWXXFznz5/Hnj17EBcXp+xSlOaDDz7A6tWrBaeh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\nTwghWub/A2xPmPKBcDzyAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xa28e400>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def MagInversion(mesh, model, data):\n",
" \n",
" \n",
" # Create a model, by default this is a model on the mesh\n",
" model = Model.BaseModel(M)\n",
" # Create the problem\n",
" prob = LinearProblem(M, model, G)\n",
" # create a simpeg data object, using a synthetic model and 5% noise\n",
"# data = prob.createSyntheticData(models[:,0],std=0.05)\n",
" if prob.ispaired:\n",
" prob.unpair()\n",
" if data.ispaired:\n",
" data.unpair()\n",
" prob.pair(data)\n",
" # Create an optimization program\n",
" opt = Optimization.InexactGaussNewton(maxIter=10)\n",
" # Create a regularization program\n",
" reg = Regularization.Tikhonov(model)\n",
" # Create an objective function\n",
" beta = Parameters.BetaSchedule(beta0=1e0)\n",
" obj = ObjFunction.BaseObjFunction(data, reg, beta=beta)\n",
" # Create an inversion object\n",
" inv = Inversion.BaseInversion(obj, opt)\n",
" # Start the inversion with a model of zeros, and run the inversion\n",
"# mopt = inv.run(m0)\n",
" \n",
" return inv"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"inv = MagInversion(M, model, data)\n",
"m0 = data.mtrue*0"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
" out = inv.run(m0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"============================ Inexact Gauss Newton ============================\n",
" # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n",
"-----------------------------------------------------------------------------\n",
" 0 1.00e+00 3.83e+03 0.00e+00 3.83e+03 2.00e+04 0 \n",
" 1 1.00e+00 3.78e+03 8.67e-06 3.78e+03 7.64e+02 0 \n",
" 2 1.00e+00 1.37e+02 2.71e+01 1.64e+02 8.09e+03 0 Skip BFGS \n",
" 3 5.00e-01 1.30e+02 2.71e+01 1.43e+02 1.69e+02 0 \n",
" 4 5.00e-01 4.12e+01 3.94e+01 6.09e+01 2.11e+02 0 Skip BFGS \n",
" 5 5.00e-01 2.33e+01 2.06e+01 3.36e+01 6.27e+01 0 \n",
" 6 2.50e-01 1.26e+01 2.20e+01 1.80e+01 3.70e+01 0 \n",
" 7 2.50e-01 5.46e+00 2.09e+01 1.07e+01 6.26e+01 0 "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n",
" 8 2.50e-01 4.19e+00 2.09e+01 9.41e+00 6.06e+01 0 Skip BFGS \n",
" 9 1.25e-01 3.80e+00 2.08e+01 6.41e+00 2.69e+02 0 \n",
" 10 1.25e-01 3.52e+00 2.12e+01 6.17e+00 6.18e+01 0 Skip BFGS \n",
"------------------------- STOP! -------------------------\n",
"1 : |fc-fOld| = 2.4171e-01 <= tolF*(1+|f0|) = 3.8275e+02\n",
"0 : |xc-x_last| = 1.5878e-01 <= tolX*(1+|x0|) = 1.0000e-01\n",
"0 : |proj(x-g)-x| = 6.1841e+01 <= tolG = 1.0000e-01\n",
"0 : |proj(x-g)-x| = 6.1841e+01 <= 1e3*eps = 1.0000e-02\n",
"1 : maxIter = 10 <= iter = 10\n",
"------------------------- DONE! -------------------------\n"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dpred1 = data.dpred(out)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(np.arange(20), np.c_[data.dpred(data.mtrue), dpred1])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"[<matplotlib.lines.Line2D at 0xcd43828>,\n",
" <matplotlib.lines.Line2D at 0xcd43a20>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Ytd2OUaPA0VF1QsOQAmACutcOhCox7N6tOol5WJK0BB/ndrhXsqdsWdVpxJO8\nvWH/vDcptn4d7y4axLjt35j0xeEcXQ6LjizCc7Inu/5IoNWF3Wz6+CeGDSjCpk3g7q46oWFJATAB\n9d3qoyucwoKY86qjmIXFiYuxPSoTv5uq8uVh36o6VNbu4ad1y+jx69vcz7qvOtZTbt2/xU+7f6Jy\neGV+3P0j7xaexYHhv2KfXpnERAgOxuR78eqDFAATYGtjS8MyLaVX8HM4c+sMp26eYv+yJlIATFjx\n4rB9bVl8E7exaet9/Gc14XL6ZdWxSLySSL+YfrwS9gr7LuzjM88oXloZz+Lv/Vm4EGbMgGLFVKc0\nHikAJuLtuoHcfCmGU6dUJzFtixMXU79oB4q62FGliuo04t8UKACrlhWg9b1FpGoD8Jnux6HLh4ye\nIzsnm+XJy2kypwnN5jWjZMFS/PhKEufCFjA6pB7Nmmo4eBAaNDB6NOVkPgATcSPjBqW+Lc/XhS/z\n8RAz7VZoBLWn16bS6fFUsWvCV1+pTiOeh04Ho0fDtJ0LyWo2iNntZ9LGvY3B271+7zozDsxgyr4p\nlHUqS58aH3BrV0d+DrOneHEYOhQ6djS/4Rv+iUnMBzBs2DA8PT2pVasWgwcPJiPj/zuGTJo0icqV\nK+Pl5cWOHTv03bRZK5q/KFWcajJ/12bVUUzWyRsnOXfnHPt/bSinf8yIRgNjxsCXnbqhiV5NyPJ+\n/LDrB4Pt6P1+6Xd6r+pNpfBKJF1LYkqjZbx+bBcftejGzm32zJsHe/ZAly6Ws/HPLb0XgObNm5OY\nmMi+ffu4e/cuCxYsAODKlStMmTKFTZs2MXXqVAYOHKjvps1et9qBJEuv4H+0OHExjUu+SdZDW2rW\nVJ1GvKi+fWHmGD+yp+9h6s4oQlaFcCPjBjm6vHeCzMzOZEniEhrOakjrBa15pfArRNc/xsNFcwhu\nWofMTNi3D5Yuhddes44LvM/DoKeAli5dyqpVq5g7dy6rV69m06ZNTJw4EYCaNWuybds2nJycng5k\npaeAAJKvJlNrQnNmvZpK167yDf2rGtNqUPtyOM43G/K/r5EwQ7t2QVCndCoO6U1y1jrSH6ZTyL4Q\nLg4uFHYsjIujy1PPCzsW/v/XDi5PLbPLZ8eiI4uYum8qFYpUoH+dD9Acb0f4RDtSU2HQIAgJARcX\n1b+14eVm22nQA6BffvmF3r17A5CQkICnp+fjn7m7u5OQkEDTpk3/9r7Ro0c/fu7v74+/lUz15FHc\ng0IF7Jlfk/sfAAAXPklEQVS34RBdu9ZQHcekHL12lKt3r3JgRX3CZONv1l57DbbFFeKNN6LxLgdl\nXLMpVjqNwqVuUyj/LQoUuY29823yFbjFA81tbt2/xdV7Vzl54yS37t/i9oNHy27fv036w3RaVmrJ\n4nZr2Lu6Bp8GQcmSj87vt29v2ad4tFotWq02T+vI1ccTEBDApUuX/rZ83LhxtGnz6OLOl19+iZOT\nE506dQJ4ZmXS/MNx2JMFwJpoNBraurdh4Y7VZGXVsOgv74tanLiYFq6dWHM+H6+/rjqNyCtPTzh4\n8NHjwoV8XLxYmAvnC3NyXzkuXICLF+HChUcDrpUuDWXKPPr35TLg++friuDsDNHR0KYnNG0K8+dD\nvXqqfzvj+OvO8ZgxY154HbnaxGzcuPFffz579mxiY2PZtGnT42V+fn7Exf3/sMdHjx7Fx8cnN81b\ntG61A4neMZJdu0bSsKHqNKZBp9Ox8MhCAu7NpG1bzGa2JfHvihThX8fX0ekgLY2nCsKf/+7f/+jf\nq1fhjTcevS5f3mjRLYbe9zHXr1/P+PHj2bZtG45PDKDh6+vLsGHDSE1N5fTp09jY2Pzt/L+AhuUa\nkl3kKNExl2nYsKTqOCbhwMUDPMx+yMHV9fhkuOo0wlg0mkd7+M7O4OGhOo1l0vtF4MqVK/Pw4UOK\n/m+M3nr16jFlyhQAwsLCCA8Px97enoiICBo8o+eFNV8E/lPTiDdJWhHIxXXvqo5iEobEDiFfpjMz\neozh0iXLHZhLiLzIzbZTOoKZoNkH59Bv4ioOj1xG5cqq06iVlZOF60+uDCi4jcPaKixapDqREKbJ\nJDqCibxrVeUNcsrHsXzVA9VRlNt0ehPlCpdj56oq0vlLCD2TAmCCShQsQYVCXszfuU11FOWiDkfR\nrkIPdu1Cpn4UQs+kAJiorrUCSc5eza1bqpOok/4wndXHVmN7tAtvvAGFCqlOJIRlkQJgojpUa4Nd\n1RhWr7be6yErjq6gvlt9VkeXoHt31WmEsDxSAExU9RLVyV8wi19WJqmOokzUoSjeKNODxERo0UJ1\nGiEsjxQAE6XRaOjyagfi0xdz7ZrqNMZ3Kf0S8efjubM3iPbtwcFBdSIhLI8UABPWs3YP7GpHsWSJ\n9Z0Gij4STZB7EEsXFpDTP0IYiBQAE1a7dG2KOjswbe0u1VGMLupQFI2K9ODSJWjUSHUaISyTFAAT\nptFoeM8vmGMOc0lNVZ3GeJKvJnMh7QIpWxrTubOM/SOEoUgBMHFv13wLvJYSFX1fdRSjmX94Pt2r\ndyd6QT45/SOEAUkBMHFuLm54Fn2VX7RrVEcxihxdDlGHoqhl24OcHJABY4UwHCkAZqB/g2AulZxH\ncrLqJIa3M3UnhewLsX9tDbp2lan7hDAkKQBmoHO1N8kpt4WZC6+rjmJwUYejeKt6DxZFa+T0jxAG\nJgXADDg7OONfthVz9i3CkgdKfZD1gKVJS6l07y2KFQMvL9WJhLBsUgDMxMBGwaRXmMfevaqTGM7a\nE2t5teSrbFr+Mt26qU4jhOUzWAH48ccfsbGx4caNG4+XTZo0icqVK+Pl5cWOHTsM1bRFalGpOfmK\nn2Zy9HHVUQwm6nAUXb16sGwZdO2qOo0Qls8gBeDs2bNs3LiRcuXKPV525coVpkyZwqZNm5g6dSoD\nBw40RNMWy9bGlo7u3Vh2IorsbNVp9O9mxk3iTsdR+EJHqlSR+V2FMAaDFIChQ4fy/fffP7UsPj6e\nli1b4ubmRqNGjdDpdKSlpRmieYs1sFEwmZ5RbNlieRcCliQtoXnF5qxeUlhO/whhJHqfFH7lypW4\nurry6quvPrU8ISEBT0/Px6/d3d1JSEigadOmf1vH6NGjHz/39/fH399f3zHNUq3StShcyJGJv+6k\nWbPXVcfRq6hDUQyo9SHvxcCPP6pOI4Tp02q1aLXaPK0jVwUgICCAS5cu/W352LFj+eabb9iwYcPj\nZX/OUfmsuSo1/3CT95MFQPw/jUZDz9rBTJg1jwcPXreYETLP3DpD0tUkMpPfwM8PSpZUnUgI0/fX\nneMxY8a88Dr0Oin8kSNHaNq0KQUKFADg3LlzlC1blvj4eBISEoiLiyMsLAwAb29vtm/fjpOT09OB\nZFL4f5V6O5WK42syv9Z5OndwVB1HL8ZtH8e5O+e48MsU2rWDd99VnUgI86N8Uvhq1apx+fJlUlJS\nSElJwdXVlQMHDlCyZEl8fX2JjY0lNTUVrVaLjY3N3zb+4r+5ubhRsWANJq6xjKEhdDod8w7NI+iV\nHmzZgkz8LoQR6f0awJOePMVTsmRJQkNDadKkCfb29kRERBiyaYvWv0EwQ5PmcudOR5ydVafJm4OX\nDvIg6wFnd9WjWTNwcVGdSAjroddTQPogp4D+250Hdyg29mXCKpzi/XeLq46TJ0Nih+Bk78SusV/S\nrx+8+abqREKYJ+WngIRxODs441u4FT9rF6mOkidZOVksPLyQ5qXfYv9+aN1adSIhrIsUADP1YUAw\nxx3nceWK6iS5t+n0Jtxc3DiwwZ22bSF/ftWJhLAuUgDMVNuqzbF76YxZDw0RdTiKHq/2YMECpPOX\nEApIATBTtja2tCjTjVn7o1RHyZX0h+msPraaek5dOX0antEfUAhhYFIAzNiIwGDOF5/H6ZQc1VFe\n2MqjK6nvVp+NK0rQqRPY2alOJIT1kQJgxnxca+KSvwDfLdypOsoLizocRY/qcvpHCJWkAJgxjUZD\nJ/dglh6fpzrKC7mUfok95/ZQMSuIO3fgtddUJxLCOkkBMHMjAt/iVull7P/9vuoozy36SDRt3duy\nYkkBunUDG/kWCqGE/OmZuXJFXsbVzpuxS2JUR3luUYcezfu7cKGc/hFCJSkAFqBX7WBiL84zi/mC\nk68mcyHtAgUuN8HREWrUUJ1ICOslBcACDGnRkfulthK7/ZrqKP9p/uH5dK/encXR+ejeHf5hRHAh\nhBFIAbAAzo5OVLVvxbcx0aqj/KscXQ7zD8+nq1cPFi+W0z9CqCYFwEIMahzMzvR5ZGWpTvLPdp3d\nRUG7gtxIqsHLL0OlSqoTCWHdpABYiHdeDwCXP5i79pjqKP9o3qF59Hi1B9HRGrp3V51GCCEFwELY\n2thS37k7YVtMc2iIB1kPWJq0lI5VurNiBXTpojqREEIKgAUZERjMEU0Ud++Z3tAQa0+spXqJ6hzZ\n6UaNGlCmjOpEQgiDFIBZs2bh6elJ1apVGT58+OPlkyZNonLlynh5ebFjxw5DNG3VAqp5k9+2IBOW\nmt7QEH+O/LlwIXL6RwgTofcZwY4cOUKfPn2YO3culStX5urVq7z00ktcuXKFhg0bsmHDBlJSUhgy\nZAgHDhz4eyCZESxP3pzwHQfOnOJ02HTVUR67mXGT8mHlORLyB9UqFSYlBYoWVZ1KCMtiEjOCrVu3\njpCQECpXrgzASy+9BEB8fDwtW7bEzc2NRo0aodPpSEtL03fzVm90x7dIyb+Uy9dNZ2iIeYfmEVAh\nAO36wjRsKBt/IUyF3ieF37BhA1WrVqVOnTp4e3szdOhQvLy8SEhIwNPT8/H/c3d3JyEhgabPGAh+\n9OjRj5/7+/vj7++v75gWq5qbK8WzavJl9Gom9++kOg5Hrx3lq21fsfntzQzvCcHBqhMJYRm0Wi1a\nrTZP68hVAQgICODSpUt/Wz527Fju37/PjRs32L59O3FxcQwYMIDNmzc/89BE8w/dQJ8sAOLFda7y\nNksS5zEZtQUgIzODzks6M7bJWErZVGfXLliyRGkkISzGX3eOx4wZ88Lr0Ps1gGHDhuHv70/r/83w\nXaZMGU6fPs3GjRuJi4sjLCwMAG9vb7Zv346Tk9PTgeQaQJ5dvpVG6e9f5vB7J6ha/iVlOfrG9OXO\ngzss6LCAadM0bNsGCxcqiyOERTOJawD16tVj3bp16HQ64uPjqVixIo6Ojvj6+hIbG0tqaiparRYb\nG5u/bfyFfpQs7ET5h60ZvWSRsgzRR6LZnLKZiMAINBqN3P0jhAnS+zWAoKAgNmzYgJeXFx4eHvz0\n008AlCxZktDQUJo0aYK9vT0RERH6blo8oVedYL6LHwUMMHrbJ66f4IN1H7ChxwacHZw5exaSkqBF\nC6NHEUL8C72fAsorOQWkHxkPsij0+cvEdtPSrKa70dq9n3WfejPr0adWH973eR+A4cPh5k2Ybjp3\npgphcUziFJAwDfkdbKmu6cbYGONOF/nRho+oVLQSoXVCAVi27NF5/y+/NGoMIcRzkAJgwQY3fpud\naVHce5hhlPaWJi1l3cl1zGgzA41Gw2+/Qb9+sGIFlCpllAhCiBcgBcCCBQfUwPlWA6qMbcqVu1cM\n2tbpm6d5f837LHpzES6OLly5Au3aweTJUKuWQZsWQuSSFAALli+fhqSxc3iQ3AzPH+uSdDXJIO08\nyHpAl6Vd+KzBZ9QpU4eHD6FDh0edvjp3NkiTQgg9kIvAVuD8efB+Zy4PGn3Esu7zCagYoNf1D4kd\nQsrNFJZ3WQ5o6NMHrl9/dP7fRnYxhDAKuQgsnqlsWdgT8TYOK5fSaWEwEfv0dwvuyqMrWZ68nMig\nSDQaDeHhkJAA8+bJxl8IUydHAFbkyBHw73gCx56BdKkVyPfNviefTb5cr++PW3/gO8OXlV1XUte1\nLhs3wttvw+7dUL68/nILIf6bHAGIf1WtGqydV5n7k3ezOekAHRd35O7Du7laV2Z2Jl2XdWXYa8Oo\n61qX48ehRw+IjpaNvxDmQgqAlfH1hSVzi3Lu21iy7xahwawGnL9z/oXX89nmzyiWvxhD6w3l9m1o\n2xa++goaNTJAaCGEQUgBsEKNG0PkL/YkfBZJo+KdqTuzLgcvHnzu9685voboI9HMbjcbXY4NXbtC\nQAC8954BQwsh9E4KgJVq0wYmTtCwZNAnDPf+ieZRzVl9bPV/vu/cnXOErAphQccFFC9QnE8+gYcP\n4X9DPgkhzIjeB4MT5qNbN7h9G74P6cSsZW68F9OekzdOMrju4GfO1ZCVk0W3Zd0Y5DeI191eZ84c\nWL4c4uPBzk7BLyCEyBO5C0jw3Xcwdy5ExfzB2+sDaeDWgElvTMLW5un9gxGbRnDg4gHWvrWW+D02\nBAWBVgteXmpyCyH+X262nVIABAAjRsCGDbBi3R36bOhCji6HxW8uxsXRBYDYk7GErArhQN8DPLxZ\nAj8/iIiAwEDFwYUQgBQAkQc6HfTvD4mJELM2i0+2DmLrma3EdI/BPp89tafXZmHHhfiW8KdBg0dD\nPAwfrjq1EOJPUgBEnuTkPOrIdfMm/Pqrjojfwvl2x7e4OrsSWCWQzxt+QbduYGv7qKfvP0zpLIRQ\nwCQ6giUlJREYGIi3tzdt2rQhOTn58c8mTZpE5cqV8fLyYseOHfpuWuSRjQ3MmvVoA//OOxr61xnI\n9DbTqVGqBp81+Ixx4+D0afjlF9n4C2EJ9H4E0LVrVzp06EDnzp1ZuHAhq1atYuHChVy5coWGDRuy\nYcMGUlJSGDJkCAcOHPh7IDkCUO7+fWjVCipVenSeX6N5NKb/gAGPxvkpU0Z1QiHEX5nEEYCLiwvX\nr18nJyeH69evU6RIEQDi4+Np2bIlbm5uNGrUCJ1OR1pamr6bF3rg6AgrV8KhQ/Dxx3D4MPTpA7/+\nKht/ISyJ3vsBjB8/Hl9fXz755BNKly7Nvn37AEhISMDT0/Px/3N3dychIYGmTZv+bR2jR49+/Nzf\n3x9/f399xxT/wckJ1q59NLTD9OkwdeqjYSSEEKZBq9Wi1WrztI5cFYCAgAAuXbr0t+Vjx45l7ty5\nfPDBB/Tt25fJkyfTq1cvFi9e/MxDk2d1NoKnC4BQp2hR2LgRtm6FLl1UpxFCPOmvO8djxox54XXo\n/RpAqVKlSElJIX/+/KSnp1OpUiUuXbrE6tWriYuLIywsDABvb2+2b9+Ok5PT04HkGoAQQrwwk7gG\n0LhxY1atWgXAypUrCQh4NPuUr68vsbGxpKamotVqsbGx+dvGXwghhPHo/QggMTGRr7/+mqSkJKpV\nq8bnn3+Oh4cHAGFhYYSHh2Nvb09ERAQNGjT4eyA5AhBCiBcmHcGEEMJKmcQpICGEEOZBCoAQQlgp\nKQBCCGGlpAAIIYSVkgIghBBWSgqAEEJYKSkAQghhpaQACCGElZICIIQQVkoKgBBCWCkpAEIIYaWk\nAAghhJWSAiCEEFZKCoAQQlgpKQBCCGGlpABYuLxOGi3+n3yW+iWfp3q5LgBLliyhatWq5MuXjwMH\nDjz1s0mTJlG5cmW8vLzYsWPH4+XJycnUqlWLChUq8Nlnn+U+tXhu8kemP/JZ6pd8nurlugBUr16d\n5cuX07Bhw6eWX7lyhSlTprBp0yamTp3KwIEDH//sww8/ZPjw4ezdu5etW7eyb9++3CcXQgiRJ7a5\nfeOf8/z+VXx8PC1btsTNzQ03Nzd0Oh3p6ekUKlSIY8eO0aVLFwA6dOhAfHw8derUyW0EIYQQeZDr\nAvBPEhIS8PT0fPza3d2d+Ph4ypUrR4kSJR4v9/LyYv78+fTv3/9v69BoNPqOZdXGjBmjOoLFkM9S\nv+TzVOtfC0BAQACXLl362/Jx48bRpk2bZ77nWZMSP2uD/k+TF8uE8EIIYRz/WgA2btz4wiv08/Mj\nLi7u8eujR4/i4+ODk5MTly9ffrw8KSmJunXrvvD6hRBC6IdebgN9cq/d19eX2NhYUlNT0Wq12NjY\n4OTkBDy6bhAdHc21a9dYvnw5fn5++mheCCFELmh0uTznsnz5cgYOHMi1a9dwcXGhZs2arFu3DoCw\nsDDCw8Oxt7cnIiKCBg0aAI/2+nv06MHNmzfp2rUr33zzjf5+EyGEEC9GZ0K2bt2q8/Dw0FWqVEk3\nadIk1XHMXrly5XTVq1fXeXt763x8fFTHMSs9e/bUlShRQletWrXHy+7cuaNr27at7uWXX9YFBQXp\n0tLSFCY0L8/6PEeNGqUrW7asztvbW+ft7a1bt26dwoTmJTU1Vefv76/z8vLSNWrUSDd//nydTvfi\n31GT6gk8aNAgIiIiiIuLY/LkyVy7dk11JLOm0WjQarUcPHiQhIQE1XHMSs+ePVm/fv1Ty6ZOnYqb\nmxsnTpzA1dWVadOmKUpnfp71eWo0GoYOHcrBgwc5ePAgLVu2VJTO/NjZ2TFhwgQSExNZunQpI0eO\nJC0t7YW/oyZTAG7fvg1Aw4YNKVeuHM2bNyc+Pl5xKvOnk7uqcqVBgwYUKVLkqWUJCQmEhITg4OBA\nr1695Pv5Ap71eYJ8P3OrVKlSeHt7A1C8eHGqVq3K3r17X/g7ajIFYO/evU91LvPy8mLPnj0KE5k/\njUZDkyZNaNeuHatWrVIdx+w9+R318PCQoyo9CA8Pp27dunz33XekpaWpjmOWTp48SWJiIr6+vi/8\nHTWZAiD0b+fOnfz+++988803DB069Jl9OsTzk71V/QoNDSUlJYXY2FhOnTpFRESE6khmJy0tjS5d\nujBhwgQKFSr0wt9RkykAPj4+HD169PHrxMRE6SeQR6VLlwbA09OTtm3bsnr1asWJzJuPjw/JycnA\no4ENfXx8FCcybyVKlECj0eDi4kL//v1Zvny56khmJTMzk44dOxIcHExQUBDw4t9RkykALi4uAGzb\nto0zZ86wceNG6SeQB/fu3Xt8SH316lViY2PlIlse+fn5ERkZSUZGBpGRkbKDkkcXL14EICsriwUL\nFtCqVSvFicyHTqcjJCSEatWqMXjw4MfLX/g7auC7lV6IVqvVeXh46CpWrKgLCwtTHcesnT59Wlej\nRg1djRo1dE2aNNHNnDlTdSSz0rVrV13p0qV19vb2OldXV11kZKTcBpoHf36ednZ2OldXV93MmTN1\nwcHBuurVq+tq166tGzJkiO769euqY5qN7du36zQaja5GjRpP3Ub7ot/RXHcEE0IIYd5M5hSQEEII\n45ICIIQQVkoKgBBCWCkpAEIIYaWkAAghhJWSAiCEEFbq/wDwkyT9FK9tMgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0xa8d3278>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print dpred1.shape"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"(20L,)\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class MyBetaSchedule(Parameters.BetaEstimate)"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def test(x, **kwargs):\n",
" \n",
" return x, kwargs['A'], kwargs['B']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = np.ones(3)\n",
"b = a\n",
"options = {'A': a, 'B': b}\n",
"\n",
"test(a, **options)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 39,
"text": [
"(array([ 1., 1., 1.]), array([ 1., 1., 1.]), array([ 1., 1., 1.]))"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class blah(object):\n",
" A = None\n",
" B = None\n",
" def __init__(self,*args,**kwargs):\n",
" Utils.setKwargs(self, **kwargs)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"a = np.ones(3)\n",
"b = a\n",
"options = {'A': a, 'B': b}\n",
"\n",
"BLAH = blah(a,**options)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print options.get('notthere','default')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"default\n"
]
}
],
"prompt_number": 55
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}