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@pckujawa
Last active December 31, 2015 02:19
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hw4 big data, calibration still not working but "known A" seems to be
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{
"metadata": {
"name": "hw4-new-calibration"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": "### Algorithm\n\n1. Choose some profile x, x ~ (0, F). Do this by creating x from $B * \\mu$, where $\\mu$ ~ (0,1), so $F = B * B^*$. $x$ **must** have fewer elements than $\\mu$, so B needs to be constructed correctly. You can start with a vector $b$ and do 'valid' convolution with $\\mu$.\n * Create a matrix A. \n * Simulate a measurement $y = A x + \\nu$, $\\nu$ ~ (0, S). y *should/must?* have more elements than $x$. You can start with a vector $a$ and do 'full' convolution with $x$.\n\n2. Assume A is known\n * Find $\\hat{x}$, $V(\\hat{x_i}) = Q_{i,i}$\n * (optional) Repeat measurement of x N times. collect meas info \\hat{x} and its variance\n \n3. A not known\n * generate calibration signals \\phi_i\n * simulate measurement $\\psi_i = A \\phi_i + \\nu_i$\n * collect calibration info ???\n * compute A_0, J, R, \\hat{x}\n * (optional) arrange K cal., N meas of x\n \n\n"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline\nfigsize(18, 4)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Populating the interactive namespace from numpy and matplotlib\n"
},
{
"output_type": "stream",
"stream": "stderr",
"text": "WARNING: pylab import has clobbered these variables: ['f', 'inv', 'svd']\n`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
}
],
"prompt_number": 34
},
{
"cell_type": "code",
"collapsed": false,
"input": "from __future__ import (division)\nimport numpy as np\nimport scipy\nimport scipy.linalg\nfrom scipy.linalg import (toeplitz, svd, inv)\nfrom pprint import (pprint, pformat)\n\ndef pprintGlobalsSubset(subsetKeys):\n pprint({k: v for k,v in globals().iteritems() if k in subsetKeys})",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 35
},
{
"cell_type": "code",
"collapsed": false,
"input": "def plotNicely(title, yLabelsMappedToValues):\n fig, ax = plt.subplots(1)\n for label,y in yLabelsMappedToValues.iteritems():\n # Prefer line with small data point (.) marker style\n ax.plot(y, '.-', label=label)\n\n leg = ax.legend(loc='best', fancybox=True)\n leg.get_frame().set_alpha(0.5)\n ax.set_title(title)\n return fig, ax # so user can further customize",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 36
},
{
"cell_type": "code",
"collapsed": false,
"input": "verbose = 0#True # print/plot stuff\n\ndef makeB(b, lenMu):\n # b * \\mu, 'valid', is equiv to B*\\mu when B is a Toeplitz\n if verbose: print 'b', b\n\n bMidpt = int(len(b)/2)\n if verbose: print 'b_mid', bMidpt\n firstRowB = [0]*lenMu\n for ix,b_ix in enumerate(b):\n firstRowB[ix] = b_ix\n\n firstColB = [0] * (lenMu - len(b) + 1)\n firstColB[0] = b[0]\n\n B = np.matrix(toeplitz(firstColB, firstRowB))\n if verbose: print 'B.shape', B.shape\n if verbose: print 'B[0]', B[0]\n if verbose: print 'B[-1]', B[-1]\n return B\n\n\ndef makeA(a, lenX):\n # a * x, 'full', is equiv to A*x when A is like a Toeplitz but with more zeros\n firstRowA = [a[-1]] + [0]*(lenX - 1)\n firstColA = a + [0]*(lenX - 1)\n A = np.matrix(toeplitz(firstColA, firstRowA))\n if verbose: print 'A', A\n return A\n\n\ndef getKnownATuple(b, a, S, lenMu=100, showPlot=True):\n \"\"\"a and b are treated as if they start from i=0\n \"\"\"\n mu = np.random.randn(lenMu)\n \n B = makeB(b, lenMu)\n\n x = np.convolve(mu, b, mode='valid') # x needs to have fewer points than mu\n xFromBMatrix = np.inner(B, mu)\n if verbose: print 'x', x\n if verbose: print r'B * \\mu', xFromBMatrix\n assert np.all(np.abs(x - xFromBMatrix) < 1e-10), \"Uh-oh, different answers for b conv mu and B * mu\"\n\n A = makeA(a, len(x))\n \n y = np.convolve(x, a, mode='full') # y should have more points than x\n yFromAMatrix = np.inner(A, x)\n assert np.all(np.abs(y - yFromAMatrix) < 1e-10), \"Uh-oh, a conv x not equal to A * x\"\n\n nu = np.random.randn(len(y)) * S\n y += nu\n\n if verbose: print 'shapes of mu,x,y', mu.shape, x.shape, y.shape\n assert len(x) == len(mu) - len(b) + 1\n assert len(y) == len(x) + len(a) - 1\n\n if showPlot:\n # http://matplotlib.org/users/recipes.html?highlight=legend#transparent-fancy-legends\n fig, ax = plt.subplots(1)\n ax.plot(mu, 'o-', color='gray', label=r'$\\mu$')\n ax.plot(x, '.-', color='black', label='x')\n ax.plot(y, '.-', color='blue', label='y')\n leg = ax.legend(loc='best', fancybox=True)\n leg.get_frame().set_alpha(0.5)\n ax.set_title(r'$y = A x + \\nu, x = B \\mu, \\mu$ ~ $(0,1)$')\n\n # Variance of x, F = B * B^* should be equiv to b conv b^*\n f = np.convolve(b, list(reversed(b)), mode='full') # zero is now in the center of vector\n assert len(f) == 2*len(b) - 1\n F = np.matrix(np.inner(B, B))\n if verbose: print 'f', f\n if verbose: print 'F', F\n #toeplitz(list(f[int(len(f)/2):]) + [0]*1) # looks same as F if the zeros were right len\n\n globals().update(locals()) ######\n\n return A, S, F, y, x, nu",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "code",
"collapsed": false,
"input": "def estimateWithKnownA(A, S, F, x0, y):\n \"\"\" Assume A known, so there is no uncertainty (J) about it, and\n our estimate of it (A0) is itself.\n \"\"\"\n assert np.all(S > 0)\n A0 = A\n J = 0\n A0_star = A0.T\n\n F_inv = F.I\n SplusJ = S + J\n SplusJ_inv = 1.0 / SplusJ\n AsSinA = A0_star * (SplusJ_inv * A0)\n Q_inv = AsSinA + F_inv\n Q = Q_inv.I\n F_invx0 = F_inv * np.matrix(x0).T\n A0_starSplusJ_inv = A0_star * SplusJ_inv\n\n def estimator(y):\n yColumn = np.matrix(y).T\n A0_starSplusJ_invY = A0_starSplusJ_inv * yColumn\n R = Q * A0_starSplusJ_inv\n r = Q * F_invx0\n xhat = Q * (F_invx0 + A0_starSplusJ_invY)\n xhatFromRy = R * yColumn + r\n globals().update(locals()) ######\n return xhat\n\n xhat = estimator(y)\n \n globals().update(locals()) ######\n if verbose: pprint(locals())\n return xhat, Q\n\n\ndef plotEstimate(title, y, x, xhat, Q, *ignoreExtraArgs):\n plotInfo = {r'$\\hat{x}$': xhat, 'x': x, 'y': y}\n fig, ax = plotNicely(title, plotInfo)\n \n # Add error coloring\n # http://matplotlib.org/users/recipes.html#fill-between-and-alpha\n t = range(len(xhat))\n sigma1 = np.sqrt(np.diag(Q))\n mu1 = np.ravel(xhat)\n if verbose: print 'sigma1', sigma1.shape, 'xhat', xhat.shape\n ax.fill_between(t, mu1+sigma1, mu1-sigma1, facecolor='blue', alpha=0.5, label=r'$V(\\hat{x})^2$')\n ax.legend() # no dice - can't see a label for the noise\n \n return fig, ax",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 38
},
{
"cell_type": "markdown",
"metadata": {},
"source": "#### Parameters"
},
{
"cell_type": "code",
"collapsed": false,
"input": "lenB = 9\nb = [1.0/lenB]*lenB\n\nlenA = 3\na = [1.0/lenA]*lenA\nprint 'a', a, 'b', b\n\nvariance_nu = 0.00001 # S",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "a [0.3333333333333333, 0.3333333333333333, 0.3333333333333333] b [0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111, 0.1111111111111111]\n"
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": "A, S, F, y, x, nu = getKnownATuple(b, a, variance_nu)\nx0 = [0]*len(x) # assume E(x) = 0\nprint 'y', y.shape, 'x', x.shape\nxhat, Q = estimateWithKnownA(A, S, F, x0, y)\nfig, ax = plotEstimate(r'$\\hat{x}$ with known A with $x$ and $y$', y, x, xhat, Q)\n# Shouldn't we have a near-perfect estimate of x if a=impulse and we subtract the noise (mu)?\n# No! Because our estimate relies on S and we can't pass in S=0.\n# But we can pass in a really small S :)",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "y (94,) x (92,)\n"
},
{
"metadata": {},
"output_type": "display_data",
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0OCjAdP+lS5di4MCBiI2NRWVlJTZu3GjQ/qZksh4K165dQ2FhIWJjY011SEIIIYQQVjp7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\n",
"text": "<matplotlib.figure.Figure at 0x51571f0>"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rT2G7xBN72tTB0N3uWD5rM1xcBHbsAGrUkGL/fndIpVL06AEEBwN9+wJduyoq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\nEZFioaaDiIiIiIiIiBSL/wfq0/faAQn+HAAAAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0x51b24f0>"
}
],
"prompt_number": 40
},
{
"cell_type": "code",
"collapsed": false,
"input": "print 'A trunc', A.astype(int)\nprint 'R inv trunc', R.I.astype(int)\nassert not np.any(r), 'r should have been all zeros'\nxhatFromRyr = R*np.matrix(y).T + r\nprint 'xhat = Ry+r', xhatFromRyr.ravel()\nplotNicely('Ry+r', {'xhat': xhatFromRyr, 'x': x});",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "A trunc [[0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n ..., \n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]]\nR inv trunc "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "[[0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n ..., \n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]\n [0 0 0 ..., 0 0 0]]\nxhat = Ry+r"
},
{
"output_type": "stream",
"stream": "stdout",
"text": " [[ 0.25326776 0.06757856 0.05273364 -0.08379143 -0.08436402 -0.28267131\n -0.3094261 -0.36247788 -0.24664997 -0.24846615 0.1137848 0.16098676\n 0.29436977 0.32868802 0.52161492 0.60641149 0.69960688 0.69737441\n 0.71952723 0.36102908 0.34132651 0.41233769 0.48028655 0.43549261\n 0.44402291 0.37189733 0.48044045 0.37091613 0.49571667 0.51038464\n 0.54501062 0.70332268 0.83709262 0.68446486 0.56044712 0.26363074\n 0.6479245 0.77046384 0.63705454 0.23075741 -0.16952484 -0.41505805\n -0.51872935 -0.3643334 -0.23007672 -0.49644313 -0.73830494 -0.6628595\n -0.290742 -0.10181151 0.01885668 0.21104839 0.10933393 0.03001857\n -0.02708924 0.22874237 0.38459829 0.22249295 0.09285902 0.06180793\n -0.02184247 0.03467655 -0.01992441 -0.13981785 -0.21540173 -0.33305718\n -0.14503277 -0.07592132 -0.12741435 -0.09882573 -0.20674321 -0.02523572\n 0.25873781 0.22861974 0.18098985 -0.09279145 -0.01571635 0.00449739\n -0.01350691 0.07155634 0.00943257 -0.07372509 -0.16832912 -0.21927469\n -0.09676648 -0.12262338 -0.04315267 -0.0164575 -0.04898404 -0.13524391\n -0.29546845 -0.28157605]]\n"
},
{
"metadata": {},
"output_type": "display_data",
"png": 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HAB9fH84/cR7McLljJOM+zvxuLst3RFAq2T1big4Azas35OjFvVxPzfmtbkVE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"text": "<matplotlib.figure.Figure at 0x514e4f0>"
}
],
"prompt_number": 55
},
{
"cell_type": "code",
"collapsed": false,
"input": "plot(np.ravel(A[0]), label='A first row')\nplot(np.ravel(R[0]), label='R first row')\nlegend();",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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11g0PDlfPZj21au8qDY0f6lPczUc2K8wWdtaEgyRd1uoypWel69CJQ2oa0dSn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\nlV4e/nKdxyzPHmTXnOvn6N2r39Wau9e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"text": "<matplotlib.figure.Figure at 0x4ffb930>"
}
],
"prompt_number": 42
},
{
"cell_type": "markdown",
"metadata": {},
"source": "## Calibration"
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Haven't gotten this part figured out yet\ndef calibrate(inputs, inputCovariance, outputs, noiseCovariance):\n \"\"\"Given inputs, outputs, and their distributions, get information to \n construct an estimate as if A was unknown.\n :returns: (R, r, Q) such that \\hat{x} = R*y + r and Q_{i,i} is its variance\n \"\"\"\n x0 = np.matrix([0]*inputs.shape[0]).T # length ok?\n x0_star = x0.T\n \n # Phi and psi should be column vectors stacked left to right\n phi = inputs; psi = outputs\n F = np.matrix(inputCovariance); S = np.matrix(noiseCovariance)\n phi_star = phi.T\n G = psi * phi_star\n H = phi * phi_star\n assert G.shape[1] == H.shape[0]\n assert H.shape[0] == H.shape[1]\n # We might have some issues with the shapes of G and H\n \n #assert np.linalg.det(H) - 1e-5 > 0, pformat(locals())\n H_inv = H.I\n A0 = G * H_inv\n \n A0_star = A0.T\n x0x0_star = x0 * x0_star\n F_bar = F + x0x0_star\n H_invF_bar = H_inv * F_bar\n alpha = np.trace(H_invF_bar)\n \n J = alpha * S\n \n S_inv = np.ravel(S.I)[0] # KLUDGE! but how else if S is 1x1 \n F_inv = F.I\n AsSinA = A0_star * (S_inv * A0)\n alpha_mult = (1.0/(alpha + 1))\n Q_inv = alpha_mult * AsSinA + F_inv\n Q = Q_inv.I\n \n r = Q * (F_inv * x0)\n R = alpha_mult * Q * (A0_star * S_inv)\n \n if verbose: pprint(locals())\n globals().update(locals())\n return R, r, Q\n",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 43
},
{
"cell_type": "markdown",
"metadata": {},
"source": "### Running calibration measurements"
},
{
"cell_type": "code",
"collapsed": false,
"input": "k = 100\nshowPlots = False # all k of them\nusePreviousPlotValues = True\n\n# Use a, b, and S from above or else x and y won't be same\nif not usePreviousPlotValues:\n lenB = 9\n b = [1.0/lenB]*lenB\n \n lenA = 21\n a = [1.0/lenA]*lenA\n print 'a', a\n print 'b', b\n \n variance_nu = 0.5 # S\n \n # Get x and y to compare against xhat\n A, S, F, y, x, nu = getKnownATuple(b, a, variance_nu, showPlot=showPlots)\n\nphis = []; psis = []\nFs = []\nfor ignore in xrange(k):\n A, S, F, psi_i, phi_i, nu = getKnownATuple(b, a, variance_nu, showPlot=showPlots)\n #print 'y', y.shape, 'x', x.shape\n # F is the same every time. the code below shows that\n #try:\n # prev_F = Fs[-1]\n # print 'F was the same as prev' if np.all(np.abs(F - prev_F) < 1e-10) else ''\n #xcept: pass\n Fs.append(F)\n \n phis.append(phi_i)\n psis.append(psi_i)\n\n# Default matrix ctor stacks the wrong way, so transpose\nPhi = np.matrix(phis).T\nPsi = np.matrix(psis).T",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "code",
"collapsed": false,
"input": "# What should we do to accumulate F and S? I guess they shouldn't change\nR, r, Q = calibrate(Phi, F, Psi, S)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": "# \"What about F? Is it invertible? For large K H/K = (Phi Phi*)/K should become close to F.\"\nprint 'k =', k\nprint 'F', F\nprint 'H/k', H/k\ncloseCells = np.abs(F - H/k) < 0.01\nprint np.sum(closeCells), 'very close values out of', closeCells.size\n\nprint [mtx.shape for mtx in (Q, A0, y, x, AsSinA, F, G, H, psi, phi)]\n\nprint 'phi', phi.shape, 'psi', psi.shape\nprint 'F', F.shape, 'S', S.shape\nprint 'G', G.shape, np.ravel(G)[:10]\nprint 'H', G.shape, np.ravel(H)[:10]\nprint 'det(H)', np.linalg.det(H)\n\n# What is the inner product of two matrices? A scalar?\nnp.inner(H_inv, F_bar) # This is a matrix, not a scalar",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "k = 100\nF [[ 0.11111111 0.09876543 0.08641975 ..., 0. 0. 0. ]\n [ 0.09876543 0.11111111 0.09876543 ..., 0. 0. 0. ]\n [ 0.08641975 0.09876543 0.11111111 ..., 0. 0. 0. ]\n ..., \n [ 0. 0. 0. ..., 0.11111111 0.09876543\n 0.08641975]\n [ 0. 0. 0. ..., 0.09876543 0.11111111\n 0.09876543]\n [ 0. 0. 0. ..., 0.08641975 0.09876543\n 0.11111111]]\nH/k [[ 0.12681235 0.10515662 0.09397716 ..., 0.00036943 0.00606267\n 0.00821441]\n [ 0.10515662 0.11592788 0.10624562 ..., 0.00038654 0.01011767\n 0.01098987]\n [ 0.09397716 0.10624562 0.12103462 ..., -0.00467355 0.00372532\n 0.00370295]\n ..., \n [ 0.00036943 0.00038654 -0.00467355 ..., 0.12358536 0.10602217\n 0.0844055 ]\n [ 0.00606267 0.01011767 0.00372532 ..., 0.10602217 0.1132653\n 0.08875698]\n [ 0.00821441 0.01098987 0.00370295 ..., 0.0844055 0.08875698\n 0.09082329]]\n5754 very close values out of 8464\n[(92, 92), (94, 92), (94,), (92,), (92, 92), (92, 92), (94, 92), (92, 92), (94, 100), (92, 100)]\nphi (92, 100) psi (94, 100)\nF (92, 92) S (1, 1)\nG (94, 92) [ 4.22711014 3.50526463 3.13261038 2.69382309 2.13464141 2.022622\n 1.67362451 1.08361173 0.69867021 0.52413188]\nH (94, 92) [ 12.68123455 10.51566188 9.39771605 8.08132234 6.40386449\n 6.06779726 5.02084698 3.25082428 2.09603382 1.57243087]\ndet(H) "
},
{
"output_type": "stream",
"stream": "stdout",
"text": "9.74458570163e-13\n"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 51,
"text": "array([[ 0.26505812, 0.15264693, 0.16537186, ..., -0.1945661 ,\n -0.22436923, -0.24812673],\n [-0.18576991, -0.04061475, -0.19005888, ..., 0.16902602,\n 0.2131882 , 0.26426892],\n [-0.07953932, -0.09792833, -0.04224031, ..., -0.00151121,\n -0.0358823 , -0.00169169],\n ..., \n [ 0.00445234, -0.01031391, 0.01453809, ..., -0.03091201,\n -0.10004604, -0.06535037],\n [ 0.20533177, 0.16809464, 0.21677527, ..., -0.11770721,\n -0.07579364, -0.20890415],\n [-0.20087265, -0.12882016, -0.2274408 , ..., 0.17262869,\n 0.19210503, 0.34238235]])"
}
],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": "print 'R', R.shape, R",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "R (92, 94) [[ 1.88733267e+00 5.05682421e-01 3.77346322e-01 ..., 2.12765538e-04\n 1.53782846e-03 1.74043228e-03]\n [ -1.38114347e+00 1.45511308e+00 2.08935752e-01 ..., -6.36753538e-04\n -1.37245197e-03 -3.75799740e-04]\n [ -1.29272623e-01 -1.37430035e+00 1.44298117e+00 ..., 7.12965977e-04\n -7.96341384e-04 -1.29881408e-03]\n ..., \n [ -6.24729674e-04 -1.27423471e-03 5.88034087e-04 ..., 1.44311130e+00\n -1.37475260e+00 -1.29159866e-01]\n [ -5.78677725e-04 -1.11402201e-03 -8.74184751e-04 ..., 2.08830629e-01\n 1.45515740e+00 -1.38124471e+00]\n [ 1.93158477e-03 1.44347988e-03 5.48273422e-05 ..., 3.77178833e-01\n 5.05769379e-01 1.88740773e+00]]\n"
}
],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": "# Ok, now compare to x and y from first generated sequence (top of page-ish)\nxhat = R * np.matrix(y).T + r\nfig, ax = plotEstimate('xhat from calibration', y, x, xhat, Q)\nif verbose: print 'xhats', np.ravel(xhats)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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quHRg/vyBODk5PXBPTg7Y2sKFC1CrVunmFRsbi5fXAU7Ybmfrrynk1hjIcTcv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\nAABJRU5ErkJggg==\n",
"text": "<matplotlib.figure.Figure at 0xa8add30>"
}
],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": "# sweep k",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 53
}
],
"metadata": {}
}
]
}
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