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   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Vehicle Tracking with Noisy Sensors and Missing Data\n",
      "\n",
      "We will try to pinpoint the location of a moving vehicle with high accuracy using only noisy (and sometimes missing) sensor data. We'll do this with a simple model for the physics of the vehicle, and an assumption that the vehicle's input acceleration is piecewise constant, with only occasional changes. That is, changes to the acceleration are sparse.\n",
      "\n",
      "## Model\n",
      "\n",
      "We'll model the vehicle with a discrete-time linear dynamical system with state vector $x_t \\in \\mathbf{R}^4$ at time $t$, where $(x_{t,0}, x_{t,1})$ is the position of the vehicle in two dimensions, and $(x_{t,2}, x_{t,3})$ is the vehicle velocity. The system has a control input $u_t \\in \\mathbf{R}^2$, which is the input acceleration in two dimensions. We only observe noisy measurements, $y_t \\in \\mathbf{R}^2$, of the vehicle's position at each time step.\n",
      "\n",
      "The system evolves according to the equations\n",
      "\n",
      "$$\n",
      "\\begin{align}\n",
      "x_{t+1} &= A x_t + B u_t \\\\\n",
      "y_{t} &= C x_t + \\nu_t,\n",
      "\\end{align}\n",
      "$$\n",
      "with matrices\n",
      "$$\n",
      "A = \\begin{bmatrix}\n",
      "1 & 0 & \\left(1-\\frac{\\gamma}{2}\\Delta t\\right) \\Delta t & 0 \\\\\n",
      "0 & 1 & 0 & \\left(1-\\frac{\\gamma}{2} \\Delta t\\right) \\Delta t\\\\\n",
      "0 & 0 & 1-\\gamma \\Delta t & 0 \\\\\n",
      "0 & 0 & 0 & 1-\\gamma \\Delta t\n",
      "\\end{bmatrix},\n",
      "$$\n",
      "\n",
      "$$\n",
      "B = \\begin{bmatrix}\n",
      "\\frac{1}{2}\\Delta t^2 & 0 \\\\\n",
      "0 & \\frac{1}{2}\\Delta t^2 \\\\\n",
      "\\Delta t & 0 \\\\\n",
      "0 & \\Delta t \\\\\n",
      "\\end{bmatrix},\n",
      "$$\n",
      "\n",
      "$$\n",
      "C = \\begin{bmatrix}\n",
      "1 & 0 & 0 & 0 \\\\\n",
      "0 & 1 & 0 & 0\n",
      "\\end{bmatrix},\n",
      "$$\n",
      "\n",
      "where $\\nu_t$ is measurement noise for the vehicle position, and $\\gamma$ is a damping parameter.\n",
      "\n",
      "## 1D Model\n",
      "The recurrence is derived from the following relations in a single dimension. For this subsection, let $x_t, v_t, a_t$ be the vehicle position, velocity, and input acceleration. The true acceleration of the vehicle is $a_t - \\gamma v_t$, with $\\gamma$ a damping parameter.\n",
      "\n",
      "The discretized dynamics are then\n",
      "$$\n",
      "\\begin{align}\n",
      "x_{t+1} &= x_t + \\left(1-\\frac{\\gamma \\Delta t}{2}\\right)v_t \\Delta t + \\frac{1}{2}a_{t} \\Delta t^2\\\\\n",
      "v_{t+1} &= \\left(1-\\gamma\\right)v_t + a_t \\Delta t.\n",
      "\\end{align}\n",
      "$$\n",
      "\n",
      "## Contents\n",
      "- Exploiting Sparsity: $\\ell_1$ Regularization\n",
      "- Handling Outliers: $\\ell_1$ Loss for Robust Kalman Filtering\n",
      "- Missing Data\n",
      "- Do we need convex optimization?: Comparison with Least-Squares Approaches\n",
      "    - $\\ell_2$ Regularization\n",
      "    - $\\ell_2$ Smoothing: Acceleration\n",
      "    - $\\ell_2$ Smoothing: Velocity\n",
      "    - $\\ell_2$ Smoothing: Position\n",
      "- (possible) Noisy dynamics"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Helper Functions"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt\n",
      "import numpy as np\n",
      "\n",
      "def accel_sched(vectors, times, n):\n",
      "    times = np.array(times, dtype=float)\n",
      "    times /= times.sum()\n",
      "    times = np.int_(np.floor(times*n))\n",
      "    times[-1] += n - times.sum()\n",
      "    \n",
      "    count = 0\n",
      "    u = np.zeros((2,n))\n",
      "    for v, k in zip(vectors,times):\n",
      "        v = np.array(v).reshape(2,1)\n",
      "        u[:,count:count+k] = np.tile(v,(1,k))\n",
      "        count += k\n",
      "        \n",
      "    return u\n",
      "\n",
      "def plot_state(actual, estimated=None):\n",
      "    '''\n",
      "    plot position, speed, and acceleration in the x and y coordinates for\n",
      "    the actual data, and optionally for the estimated data\n",
      "    '''\n",
      "    trajectories = [actual]\n",
      "    if estimated is not None:\n",
      "        trajectories.append(estimated)\n",
      "        \n",
      "    fig, ax = plt.subplots(3, 2, sharex='col', sharey='row', figsize=(8,8))\n",
      "    for x, u in trajectories:  \n",
      "        ax[0,0].plot(t,x[0,:])\n",
      "        ax[0,1].plot(t,x[1,:])\n",
      "        ax[1,0].plot(t,x[2,:])\n",
      "        ax[1,1].plot(t,x[3,:])\n",
      "        ax[2,0].plot(t,u[0,:])\n",
      "        ax[2,1].plot(t,u[1,:])\n",
      "        \n",
      "    ax[0,0].set_ylabel('x position')\n",
      "    ax[1,0].set_ylabel('x speed')\n",
      "    ax[2,0].set_ylabel('x acceleration')\n",
      "    \n",
      "    ax[0,1].set_ylabel('y position')\n",
      "    ax[1,1].set_ylabel('y speed')\n",
      "    ax[2,1].set_ylabel('y acceleration')\n",
      "    \n",
      "    ax[0,1].yaxis.tick_right()\n",
      "    ax[1,1].yaxis.tick_right()\n",
      "    ax[2,1].yaxis.tick_right()\n",
      "    \n",
      "    ax[0,1].yaxis.set_label_position(\"right\")\n",
      "    ax[1,1].yaxis.set_label_position(\"right\")\n",
      "    ax[2,1].yaxis.set_label_position(\"right\")\n",
      "    \n",
      "    ax[2,0].set_xlabel('time')\n",
      "    ax[2,1].set_xlabel('time')\n",
      "\n",
      "def plot_positions(xtrue, y=None, recovered=None):\n",
      "    '''\n",
      "    show point clouds for true, observed, and recovered positions\n",
      "    '''\n",
      "    titles = ['True', 'Noisy', 'Recovered']\n",
      "    trajectories = [xtrue]\n",
      "    if y is not None:\n",
      "        trajectories += [y]\n",
      "    if recovered is not None:\n",
      "        trajectories += [recovered]\n",
      "\n",
      "    n = len(trajectories)\n",
      "\n",
      "    fig, ax = plt.subplots(1, n, sharex=True, sharey=True,figsize=(12, 4))\n",
      "    if n == 1:\n",
      "        ax = [ax]\n",
      "    \n",
      "    for i,x in enumerate(trajectories):\n",
      "        ax[i].plot(x[0,:], x[1,:], 'ro', alpha=.1)\n",
      "        ax[i].set_title(titles[i])\n",
      "        #ax[i].set_aspect('equal')\n",
      "        #ax[i].axis('equal')\n",
      "        \n",
      "    #x0,x1 = ax[0].get_xlim()\n",
      "    #y0,y1 = ax[0].get_ylim()\n",
      "    #ax[0].set_aspect(abs(x1-x0)/abs(y1-y0))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 56
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Problem Data\n",
      "- set problem parameters\n",
      "- form dynamics matrices\n",
      "- simulate vehicle movement\n",
      "- form noisy observations of just the vehicle position"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "n = 1000 # number of timesteps\n",
      "T = 10 # time will vary from 0 to T with step delt\n",
      "t, delt = np.linspace(0,T,n,endpoint=True, retstep=True)\n",
      "gamma = 1 # damping, 0 is no damping\n",
      "noise_level = .15 # sensing errors\n",
      "\n",
      "A = np.zeros((4,4))\n",
      "B = np.zeros((4,2))\n",
      "\n",
      "A[0,0] = 1\n",
      "A[1,1] = 1\n",
      "A[0,2] = (1-gamma*delt/2)*delt\n",
      "A[1,3] = (1-gamma*delt/2)*delt\n",
      "A[2,2] = 1 - gamma*delt\n",
      "A[3,3] = 1 - gamma*delt\n",
      "\n",
      "B[0,0] = delt**2/2\n",
      "B[1,1] = delt**2/2\n",
      "B[2,0] = delt\n",
      "B[3,1] = delt\n",
      "\n",
      "x = np.zeros((4,n))\n",
      "x[:,0] = [0,0,0,0]\n",
      "\n",
      "# form the piecewise constant acceleration schedule\n",
      "u = accel_sched([(1,1.2),(-1,.6),(0,-1.3), (-1.2,.6),], [300,400,500,700], n)\n",
      "\n",
      "# simulate the system forward in time\n",
      "for i in range(n-1):\n",
      "    x[:,i+1] = A.dot(x[:,i]) + B.dot(u[:,i])\n",
      "    \n",
      "xtrue = x.copy()\n",
      "utrue = u.copy()\n",
      "\n",
      "# form noisy observations\n",
      "y = noise_level*np.random.randn(2,n) + xtrue[0:2,:]\n",
      "\n",
      "# plot system state\n",
      "plot_state((xtrue,utrue))\n",
      "\n",
      "# plot true and noisy position observations\n",
      "plot_positions(xtrue,y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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AOBr43nUgmQrDluZBjzHo8UGwY7z4Yujd23UU0RDkvzMEPz5QjI4Eqi4NQ/Lx\nb+B610FkIwz/iYMeY9Djg+DHeMopriOIhqD/nYMeHyhGRwJVlwY9+egMzAcmuQ5EREQkpAJXlwZh\nnY8RwPblvH4z0Aso3VMd2h38REREcihUdanzAJLYF/gAWJZ4Xh9YALQEfi7z3hlAo/yFJhJaM4Hd\nXQeRxASgmesgREIg1bKcTl0q5ZhNAEboioiIhFgg6tKgj/kozXMdgIiISMipLhURERERERERERER\nERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERERER\nERERERERERERERERWe8Z4Cfg6yTveQiYDkwEDshHUCIiIiGj+jQNrbEvoKIvqyMwNPH4YOCLfAQl\nIiISMqpP09SQir+svsAZpZ5/C2yX64BERERCqCEhqU+ruDpwinYC5pV6Ph+o7ygWERGRsApUfVrN\n1YHTUFTmuVf2DY0aNfJmzpyZp3BEQm0msLvrICrSrFkzb+LEia7DEAmDTMpypfVpvgS95WMB0KDU\n8/qJ1zYwc+ZMPM8L7O322293HkPYYwx6fGGJEWiUp7KbkYkTJzr7bkpKPFavDv/fOejxKUZ/bqRf\nllOqT/Ml6MnHIODcxONWwG/YaF4REd/MmgWtW8MBB8Dcua6jEcmJQNWnrrtd+gFHAvWwvqjbgU0S\nP3sCG5nbEZgB/AV0dxCjiESU58GLL8I118BNN0FJCRxyCAwaBC1auI5OJC2hqk9dJx9npfCeS3Me\nRY7FYjHXIVQq6DEGPT4IR4yy3p9/Qs+eMGkSfPABNG1qr++2G7RvDw89BGeVc4YK+t856PGBYsyR\nUNWnZQefhJWX6AMTkSSKioog2OU+L2V5zhzo3BmaN4fHHoPNNtvw5+PHw2mnwdFHw4MPQo0aOQ9J\nJC0hKMtJBX3Mh4iIrz7+GFq1gu7d4ZlnNk48wMZ+jB0LixZZN8ykSfmPUyTKlHyISMEYPBhOPhle\neAGuvBKKklw3brUVvPYaXHYZtGsHxcWwcmXeQhWJNCUfIlIQXnoJLrgAhgyBY45J7XeKiqBHD+uG\nGTvWWkTeey+3cYoUgtD2F5WhMR8iKQhBP3FOyvLzz8PNN8Pw4dCkSWaf4Xk2C+baa2HPPeH//g/2\n2svfOEVSFYKynJRaPrIwYQKcfz4sXeo6EhGpyIABcOON8P77mSceYK0gnTvD5Mlw1FG2LkiXLvDN\nN/7FKlJvDuMuAAAgAElEQVQolHxk4JdfbIpe+/Z2Qvv0U9cRiUh53n0XLrkEhg3zr5Vi001tXZBZ\ns6BZM2jbFk45BUaNstYREamcko80eB688grstx/UqgXffgvnnAOffeY6MhEp6+uv4dxz4c03Yf/9\n/f/8LbaAG26AmTOtJeSii+zc8Oij8Pvv/h9PJEpC219URs7HfCxcCP/4B3z/PTz9NBx0kL0+ZIit\nA/D++zk9vIgvQtBP7EtZ/uknOPhguPfe8hcKywXPg48+snVDhg+HNm3s2McfDzVr5icGKRwhKMtJ\nhTbwMnKafHzwAXTtauM7br0Vqldf/7Nff4Vdd4XFi6Ga6/ViRSoRghNW1mV5xQqIxWxGyx13+BNU\nun77Dd56C/r1gy+/hCOPhI4doUMH2HlnNzFJtISgLCcV2sDLyEnyUVJiJ68nn7T9H9q2Lf99e+9t\nJ5lcNO2K+CkEJ6ysy/KVV9oKpgMHQpUAdCwvWmTTc4cOtRaRbbe15Ojww+Gww5SMSGZCUJaTCm3g\nZfiefCxbZuM5Fi2yhYa2377i955/Phx4IFx8sa8hiPguBCesrMryW2/BVVfBuHFQp46PUflkzRqL\n7eOP4ZNPbLB69eq24mqzZnbbf3+oXz/5AmgiISjLSYU28DJ8TT4WLoROnWx0/JNP2uj2ZJ5+GuJx\nax0RCbIQnLAyLsvffw8tW9paHAcf7HNUOeJ5NmB19GiYONFuEybYSqr77AONG8Puu6+/33132HJL\n11FLEISgLCcV2sDL8C35+P57Gyh23nk2viOVq48pU+CEE+wkIhJkIThhZVSWS0qsW7R9e5uBEnY/\n/QRTp8KMGXabPn394+rVbefd11+3eylMISjLSYU28DJ8ST5mzbLE4+qr4fLLU/+9khKoW9dOFsm6\nZ0RcC8EJK6Oy/Pjjtl/LJ59A1ao5iCogPM8Gt192GRx6KFwamA3SJd9CUJaTCsBwrGCYOdMGgd1w\nQ3qJB9igtkMO0XofIi58/z3cdpvtUBvlxAOsJbZuXVtXZPRo19GIZE7JB9bEeeyxcNNNmQ8aPfJI\nG/chIvnjebba8DXX2KyzQtGyJYwZ4zoKkcy5Tj7aA98C04HyempjwO/A+MTtFr8D+OMPm3vftaut\nUJipo46CDz/0Ly4Rqdwbb8CPP9pmb4WkSROYN08rqRaakhKbEJGk1ct5nZoql8tiVQUeAdoBC4Ax\nwCBgapn3fQR0ykUAq1fDaafZVcRtt2X3Wc2bw9y5tu/LNtv4E5+IVGzZMmvxeOGFwlvgr1o1m5I7\ndqyNU5No+fVX2x5g+vQNb7Nm2dYeFawN47xOTYfLItsSmAHMSTzvD3Rm4y8qZwNqevWyTPKRR7Kf\nU1+tmi0a9NFHcOqp/sQnIhXr3dvGWh15pOtI3GjZ0q6AlXyE2w8/wOefw/jxNs164kRrkd93X9hz\nT5te3aXL+unWtWrZ75VTZzmvU9PhMvnYCZhX6vl8oOzsfA84FJiIZXLXAlP8OHi/ftZkO2aMf1dN\na7telHyI5NbcuXbRMGGC60jcOeggGDDAdRSSrhkzYORIm5n1ySfWdXbIIdCihS1Y2awZNGyY0eq8\nTuvUdLlMPlKZTzcOaAAsAzoAbwF7lPfG4uLidY9jsRixWKzCD/3mG5vR8v77NnLcL0cdBc8+69/n\niWQrHo8Tj+BI6OJiGxzeoIHrSNxp2RKuv951FFKZFSusRXzoULstXQpHH20t5TfeaItZppJopFCW\nfa1Tc81l80sroBgbIAPQCygBeif5ndlAC2BxmddTXhtg+XJb/fCKK6BHj7TirdSaNVCvHnz7LWy3\nnb+fLeKHEKwNUGlZnjrVulqmTYPatfMUVQB5np1vJk+GHXZwHY2Utnq1tYL362dL/u+9Nxx3nE1u\n2H9/f5bOL6cs+1mn5pzL2S5fAY2BhkB14AxscExp27H+y22ZeJzVl3TTTbDHHtC9ezafUr6qVaF1\na025FcmlW2+12S2FnHiAVWAHHaQpt0Hy/fc2lrB+fatr9t3XBo5++qk9P+CAnO7Z46ROzZTLbpfV\nwKXAcGyU7tPYwJgLEz9/AjgVuDjx3mXAmdkccMQIW5J44sTc/Qdo08b68844IzefL1LIxo61wXkv\nvOA6kmBo2RK+/NL2ohI3PM9aOf77XxvD0bWrXYDutVfeQ8l7nZqNIDe/pqPSpto//7S58U8/De3a\n5S6QqVNtf4k5c7QrpQRP2LtdTjrJEvzLLstjRAE2fDjce69aW13wPHjvPbjzTtv9/NprbVbK5pvn\n5/ghKMtJhTbwMipNPq66CpYsgeeey3UgNlL53XcLa8VFCYcQnLAqLMtTp9oWCLNnQ82a+Q0qqP74\nA3bc0fZ7qV7ddTSF47PPbA+wpUutG/C00/K/tH8IynJSBbE0z5gxNvBn8uTcH6uoyFo+lHyI+Kt3\nb2vxUOKx3pZb2voP48ZBq1auo4m+efNshsqoUdbi1KVLRlNiBffLq+fcmjVw4YVw//02MjwfOnSA\nYcPycyyRQjB3LgwaBJdc4jqS4DnsMBtrILmzdjHKAw6ARo1sRuM55yjxyEbkv7rnnrM+uHPOyd8x\n27SxQXF//ZW/Y4pE2b//bQsw1anjOpLgOfxwm00huTFzpq3h1K+ffc933pm/cR1RFunkY21/3L//\nnd/Bn1tuaavVffRR/o4pElVLl9rsFg0yLd/hh1vLR4pLHUkaXnvNurM6d7aulj33dB1RdEQ6+bjv\nPpvZctBB+T92hw427kNEsvPSS3blWcFmWgWvfn0bBzNtmutIomPFCkt2e/WyGUVXX53/AaVRF9nk\nY/586NsX7rnHzfE7dIAhQ3Q1IpINz7O+9ksvdR1JsK1t/ZDsLV5sy5/PnWvryjRv7jqiaIps8nHv\nvdZHXL++m+Pvt58NUvr6azfHF4mCtetXJNmqSVDy4ZdZs+DQQ20Ljjff1Cq6uRTJ5GPuXOjfH667\nzl0MRUW2INKbb7qLQSTs1rZ6aMG+5I44QguNZWviREviLr/cZkdqJktuRaVIb7Aw0YUXwtZbW+uH\nS6NG2X/kQt72W4IlBAsTrSvLP/9s+zDNmwdbbOE4qoDzPFts7NNPYbfdXEcTPuPHW1f5ww/bgmFh\nEIKynFTkFhmbMwcGDAjG4KvDDoMffrAVGXfd1XU0IuHy0ks2y0CJR+WKitbvK6XkIz3jxlni8dhj\ncMoprqMpHJFrWHrgAejZE+rWdR2JjY7u1Mm2VBaR1HkePPtsbnafjqo2beCDD1xHES7TptlW948/\nrsQj3yKVfPz6K7z8snV1BIXGfYikb+xYW6TviCNcRxIebdtay4dm2KXmp5+sxeNf/4KTT3YdTeGJ\nVPLRty+ceCLssIPrSNZr2xYmTYKFC11HIhIezz4L3bpp0F86GjaEWrXys4dV2P31l7V4nHsuXHCB\n62gKU2gHq5Th/f23x667wvvvQ5MmrsPZ0Hnn2YqnQWqRkcIUgkFq3vLlHjvtZK0fu+ziOpxw6dnT\nzn9XXOE6kuDyPNsQrnp1234jrDOpQlCWk4rMdcXLL9umP0FLPMD+o7/8susoRMJh+HArx0o80te2\nrcZ9VObBB22sR9++4U08oiAyyccjjwQ322/b1mbhzJjhOhKR4Hv1VTjjDNdRhNNRR9kU/1WrXEcS\nTPE49OkDAwfCZpu5jqawJUs+WgDNS92XvfmhPfAtMB24oYL3PJT4+UTggIo+6I8/bEncIKpWzU6m\n/fq5jkQk+IYM0cyDTG27LTRurF1uy7N4MXTtCs8/H+lWNd/q1EpknR8kW+fjAcADNkscYFLi9abA\nV8AhGYW8XlXgEaAdsAAYAwwCppZ6T0dgd6AxcDDwONCqvA+78MJgD07r0sUG0N1yi5r6RJJp0QK2\n2851FOHVsaMlcFqSfj3Pg4svtqT22GNdR5Mzvtaplcg6P0hWXceAo4AfWJ/htMAypR8yCLaslsAM\nYA6wCugPdC7znk7A84nHXwK1gXJPS0FfD+Dgg60pdNw415GIBJu6XLJz3HEwdKjrKILl5Zfhm2/c\nr3qdY77WqZWIkWV+kEpbwV5A6e3RJgN7pxNlBXYC5pV6Pj/xWmXvKXeruG228SGiHCoqslkvzzzj\nOhKRYNOaC9k58ED45RcbZya2yvTVV9uKuREf5+FrnZqijPODVJZXnwQ8BbyETevpgvUVZSvVpXDK\ndlKU+3vFxcXrHsdiMWIBbHPs3h323982LapZ03U0Ugji8TjxkO04Vq+e6wjCrUoVWzxryBC45BLX\n0bh3xRXWLb///q4jyU4KZdnXOjVFGecHqYw+2Ay4GGideD4K6ydannaYG2oFFGMDZAB6ASVA71Lv\n6QvEseYjsIE0RwI/lfmsDTaWC7LjjoPTT7dWEJF8C8HaAKEpy0H22ms2sHLIENeRuPXOO3DVVbbQ\nY9RaPcopy37WqanKOD9I9SRUE9gZC9Qv1YDvgLZYH9Fo4Cw2HhxzaeK+FfAfyh8cE5oT1ltvwf/9\nH3zyietIws/z4PffoXZt15GEh5KPwvDbb7DzzraycqG2sv71l60X89RT0K6d62j8V05Z9rNOTUdG\n+UEqYz46AeOBdxPPD8BG0GZrNfYlDAemAK9iX9KFiRvAUGAWNojmCeCfPhzXqeOOg5kzYcoU15GE\ny6JFNkf/4YdtFcdDDrGko25d+Phj19GJBEvt2jZraMQI15G406cPtGoVzcSjAi7q1Izzg1SugMYB\nbYAPWT8neDKwb3ox5lSorpZuusmy8v/+13UkwbRqFUycCF98AZ9/brdff4X99rPbvvvafZMm8PTT\ntnjb//7nOupwUMtH4Xj4YRgzBl54wXUk+bdgATRtarMLo7qmR0DKcsb5QSqBf4nNBx5f6sMnYfN5\ngyJUJ6x586BZMxuNvuWWrqNxz/MsgXjvPbvF49CggbVurL3tuWf567jMm2cDyX74ATbdNO+hh05A\nTljJhKosB9mCBZakL1xo+5gUkh49bMG1++5zHUnuBKQsZ5wfpDLb5Rvg7MR7GwOXA59lFKYAVrEe\nc4xdtV91leto3PA82zhswAC7LV9u38lZZ1kfbapTpxs0sJaQYcNsR2MRMTvtBHvtBSNHQvv2lb8/\nKiZMsHVOvvvOdSQFIeP8IJWsaXPgZuCYxPPhwL/IfraLn0J3tfTll3DmmXbFX7Wq62jy5/vvLel6\n6SX7d592Gpx6qm0KmOnKr//7n/Vtv/66v7FGUUCulpIJXVkOsgcegKlTLaEvFCecYBcyl13mOpLc\nCkhZzjg/SCfwzYG/0g4tP0J5wjrkELjuuugvqrRmDQwaBE88AV99ZUvNr13zxI+l5hcvhl13tS4Y\ndWMlF5ATVjKhLMtBNXs2tGwJP/5oe0xF3VdfWQvojBlQo4braHIrYGU57fwgldkuh2IjZ9dOo2kG\nPJZeXFKeq66yabdRPdcuXw5PPgl77w29e9umTvPmwUMPZdfSUdbWW9tungMG+PN5IlGx66424PKj\nj1xHkh933AG9ekU/8QiQjPODVJKP/2CLlixKPJ+ILUoiWTrlFJvF8eGHriPx16pV8PjjsNtutq7J\nU0/ZjJWzz87dQj/du1t3johs6PTToX//yt8Xdl99BePHw/nnu46koGScH6S6D+zcMs9Xp/h7kkTV\nqnDzzXDnna4j8YfnwZtv2gDQN96AwYNthcUjjsj9Tr7HHWezh775JrfHEQmbLl2sPC4P0ii9HLjr\nLrjxRrV6OJBRfpBK8jEXOCzxuDpwLRuumCZZ6NIF5s+HUaNcR5Kd2bNtP4nbbrNulREjbJGjfKlW\nzVo/nnwyf8cUCYP69aF5c7sYiKpp0+Czz9Tq4UDG+UEqycfFwCXYbngLsLm82q7IJ9Wq2aJjYW39\nWLPGxq0cdJCNuxg3Do49NvctHeU5/3ybRRP1KzyRdHXtCi++6DqK3HnwQbjooujt3xICGecHQRkp\nm61Qj5Bftcrm4z/5JLRp4zqa1M2fbyc1z4NnnrExHq4deyyce66NL5GNBWyEfHlCXZaDaulSWxNn\n+vTU19AJi0WLYI89bErxdtu5jiZ/QlCWk0ql5aMRMBgbUPIL8DYQgGomOjbZBO6916bdlpS4jiY1\ngwZZt0q7dvDBB8FIPMC2zn5Mc7FENrDFFjYuKooDT/v2teUKCinxCJCM84NUko9XgNeAHYAdgdeB\nfhmFKRU67TTrgukX8G/W8+Bf/4JLLrHBpTffHKxF0jp1sqXWv/zSdSQiwXLeedZCGaWGpVWr7GKj\nUFeKDoCM84NUko/NgBeBVYnbS4DGE/usqMjGTtx8c3DHLPz9ty1//s47MHo0HHqo64g2Vq0aXH65\n9QGLyHrt2sEff9hmc1Hx9tvW5dKkietIClbG+UEqyccwoBfQMHG7IfHa1omb+KR1axuVfv/9riPZ\n2O+/rx9IGo/DDju4jqhi559vG9TNLTsBTKSAVali3ZJ9+7qOxD9PPGH/JnEm4/wglcEqc4CKGuo8\ngjH+IzKD1ObOtQTkyy+hUSPX0ZhFiyzxaNXKtukub3fZoLn6amsF6dPHdSTBEoJBapEpy0H0yy/W\nUjBrFtSp4zqa7MycaVtUzJtXmDtaB6QszyHD/MB14H6J1AmrTx9b9XToUDdTVkv75ReIxWwsxT33\nuI8nVXPm2IDYmTOhdm3X0QRHQE5YyUSqLAdRly52IXH55a4jyc6NN8Lq1dZdXYhCUJaTSuUa9jRg\n7XZdtwIDgeY5i0i46iprAXG9S+varpaTTrLZOGFJPAAaNrTdLf/7X9eRiATLRRfZ9gdhzvFWroTn\nnoOePV1HUvAyzg9SST5uA/4ADgfaAs8AEeo1DJ5NNrF9Si6/HBYudBPDsmVWeR92mM1uCaObb4ZH\nHrEkSkRM69a2BPmwYa4jydywYdZ9tMceriMpeBnnB6kkH2sS98cDTwLvAJukH+MGtgZGANOA94CK\nGsbnAJOA8cDoLI8ZKq1awQUXwD/+kf8rlJISWzxs552t5SBMLR6lNW5sS74//LDrSESCo6gIrr02\n3N0VL71k5yhJWa7q3Izzg1SqlSHYsqlHY0unLge+xLbOzVQfbFGSPtjo2DrAjeW8bzbQAlhcyedF\nsp945Uo4+GC49NL87llw220wcqQtHhb2gVzTplnrzYwZsNVWrqNxLwT9xJEsy0GzapUNaH/zzfzu\nweSH336DXXaxcV1hHzSbjTTLst917loZ5weptHycDgwHjgF+w4K+LsXAKtIJeD7x+HngxCTvDfKJ\nMqeqV7f9GG68EaZMyc8xX30VXngBBg4Mf+IB1ix7/PHQu7frSESCY5NN4Ior4IEHXEeSvjfesDVL\nCjnxyECu6tyM8wNXFfsSLMi1MSwu9by0WcDvWNPOE1izTnkifbX07LM2A2b0aFsmOVemTIEjj4T3\n34dm2bRrBcz8+fbvmTDB9rcoZGr5kLX++AN23RW++sruw+Koo2w83EknuY7ErTTLst91btaq5eqD\nsf6l7ct5/eYyzz0qnid8GPAjsE3i874FPi7vjcXFxesex2IxYrFYWsEGWffu67eLfvXV3IzB+Ptv\nOOMMayGIUuIBtqX4RRfBLbfA889X/v4oicfjxONx12FIAG25Jfzzn3DXXTbAPQzmzoVJk6BjR9eR\n5F8KZTmvdW62XF0BfQvEgIXYmvAfAntV8ju3A38C5TUURv5qaflyOPxwOOUU6NXL/8+/+GKbFfLy\ny+EdYJrMH39YF8zQobaIW6FSy4eUtmSJDcwO0qKGydx/v43jejJn1+PhkWZZ9rvOzVoqYz72Kee1\nWJbHHQScl3h8HvBWOe+pCaztZNgc61P6OsvjhlaNGraPQd++8Mor/n7222/bcuR9+0Yz8QC7yrvr\nLrvSC8vOwSK5VqeODWgPy3T6gQPh1FNdRxFKuapzL6f87ptKpVLVTMY2jumDbSLTGzgIaJXJARO2\nxnbC2xmb2nM6NlhlR6yP6ThsWdaBifdXA14G7q3g8wrmamnyZGjTBl57zVYezdaSJbDvvtadc/jh\n2X9ekJWU2BoH555buPtBqOVDyvrtN9h9d+vaDfK6GQsWwH772dpH1au7jsa9NMuy33XuWncDZwDj\nsDU+hlNxl86G8afwns2xhONAoBa2he59QJCuHwvqhDVyJJx5JgwebFNxs9GjB9SsaYtxFYKvv4a2\nbe1+u+1cR5N/Sj6kPPfea7vdDhxY+XtdefRR6x564QXXkQRDgMpyFayVpBuWJ7wGPA3MrOyXKrMa\n+Btr9aiBjYYNUuJRcNq0saWFO3XKbnvs996zRObeynLbCNlvP+jWLfz7Woj46corYdw427E6qAYO\nhJNPdh2FlKMEG0vyEzZLpg4wAEi6P3sqWdNErL/oTqAeNv1mBbame1AU5NXSO+/YDJi33rLdHdOx\nfDk0aWJXE+3b5ya+oPr7b1tY6dZb4ayzXEeTXwG6WqpIQZblIOjf36b0jxkDVau6jmZDixbZgNgf\nf7SWWglMWb4COBf4FXgKeBNYhTVsTAcqHMacSsvHBdiGMauwKTidgMHZxSt+OP54mzrauTMMGpTe\n7z74IDRtWniJB8Bmm9nibVdcYWuAiIhNta9RI5jT0QcNgqOPVuIRQFsDJ2PdLq9heQJYa8gJyX7R\nddbkl4K+WhozxhKQW2+1KbOV+eEHSzxGj4bddst9fEH1r3/BqFEwfDhUSSUNj4CAXC0lU9Bl2bWv\nvrKLmsmToV4919Gs17kznH46nH2260iCIwRlOanQBl5GwZ+wZs60k0br1vDQQ3YFU5Fzz7WFt+65\nJ3/xBdHq1bZa4jHHWOJWCEJwwir4suzalVfaDJjnnnMdiVmxArbZBmbPhrp1XUcTHCEoy0kVyPVe\n9DVqZC0ZixdbAvL99+W/b/x4Wz49FwuVhU21ajZluW9fePdd19GIBMNdd8GHH9rGkkEwapQtB6DE\nI1qUfETIFlvA66/bNNwDD7Qrl7IXkbfeaolHLveICZMddrCBduedZ1dWIoWuVi147DHo2ROWLnUd\nDQwbVpjLqUddaJtsylBTbRmTJkHXrtCwoV3Z77ADfP65JSbTpkVjx1o/PfywfU+ffBLt3TJD0FSr\nshwQF1xgC/M984zbOPbay7Z9aNHCbRxBE4KynJRaPiKqaVMbiNq0qa1t8eCDcNNN1vKhxGNjl11m\nYz9OPNH6mEUK3X/+Ax9/DAMGuIth1iwbf3LAAe5ikNwIbdZUhq6WkvjuO6tcv//eRrFvsonriIKp\npMSmG1apYvvnBG2tAz+E4GpJZTlARo+GE06wWTANGuT/+I8+asd+9tn8HzvoQlCWkwpt4GXohFUJ\nz4OVK9XqUZnly23W0A472JiZqCUgIThhqSwHzP3321iyUaOSz6LLheOOs/FYp5+e3+OGQQjKclKh\nDbwMnbDEN8uW2dXeTjvZFVeUEpAQnLBUlgPG82wl4Bo1rDzka+frlSttrZE5c2DrrfNzzDAJQVlO\nSmM+RMqoWdM27VuwwAboLl/uOiIRd4qK4OmnbZr+ww/n77ijR9suu0o8oknJh0g5ataEoUNt/MfR\nR9v6KSKFavPNbQ+p++7L3863I0faJpoSTUo+RCqw6abQrx+0bAmHHWYDd0UK1a672maWF10EH32U\n++Mp+Yi20PYXlaF+Ysmp//0PbrnF1gIJ87beIegnVlkOuPffhy5drGXwwANzc4xly2DbbWHhQlv0\nTDYWgrKclFo+RFLQsycMGQJXX203jQORQtWuHTz1lK06+sUXuTnGZ5/B/vsr8YgyV8nHacA3wBqg\neZL3tQe+BaYDN+QhLpEKHXQQjB0L8+ZB8+a2iJtIIerUyaaid+pkC5H5beRI2/RRfBO4OtdV8vE1\ncBIwKsl7qgKPYF/GPsBZwN65D02kYnXr2mZ0t91m64Fcf30w9r8QybeOHW3Z85NPhjfe8PezNd7D\nd4Grc10lH98C0yp5T0tgBjAHWAX0BzrnNiyRyhUV2RTciRPh559t74mXXtp4Ez+RqDv6aHjvPbjy\nSluMzI8y8McfthLzIYdk/1myTuDq3CCP+dgJmFfq+fzEayKBsP321vT8xhvw3/9at8w77ygJkcJy\nwAG2aeXLL8O558Kff2b3eZ9/bpvI5Xs1VclvnVstVx8MjAC2L+f1m4DBKfx+Wqfw4uLidY9jsRix\nWCydXxfJWKtW8OWX8Oab0KsX3HGHbeB3/PG2TohL8XiceDzuNgiJvPr14dNPbQ+pgw6yrsn99svs\nsz791Ka2y4ZSKMt5rXOz5XqazofANcC4cn7WCijG+p8AegElQO9y3qvpeRIIJSW2CNN998GSJXDJ\nJdCjB9Su7ToyE4LpeSrLIffCC3DNNTY1/dJL09+eoF07uOoq29dFKpZhWfarzs1aELpdKvryvgIa\nAw2B6sAZwKA8xSSSkSpV4NRTbSbMSy/Zjpy77gpdu8Lw4bB6tesIRXLr3HNtquwbb0Dr1jBlSuq/\nu3q1Lauu8R45FYg611XycRLWt9QKGAIMS7y+Y+I5wGrgUmA4MAV4FZia3zBFMlNUZCfQV16Bb7+1\npujbbrPm6csvt4WaVq50HaVIbjRuDPG4Jd1HHAHXXQe//Vb5702aZGVE+7n4LnB1bpCbX9OhploJ\nhenTrT/8nXdg6lRrYu7QAY48Eho1yv2Ooep2kXz78UcbAzV4sN337AnVq5f/3ocftgTkySfzG2MY\nhaAsJxXawMvQCUtC5+efYdgw644ZNcrGixxxhDVVt2gBTZvaBnd+CsEJS2U5oiZOhBtugG++sZaQ\nCy7Y+P/3mWdC+/bQrZuTEEMlBGU5qdAGXoZOWBJqngdz5lgS8sknMG6ctYzsuqtNZdx/f1tPZI89\n7LVNNsnsOCE4YaksR9yYMXD33bY0+8UXWxKyU2JCZ4MGtsBY48ZuYwyDEJTlpEIbeBk6YUnkrFxp\ng/XGj7erxu++g2nTYMEC2GUXS0QaNrQTdv36dt+gAey4Y8XN2iE4YaksF4jJk+Gxx6B/f4jF4MQT\n4QBLEEwAABqvSURBVNpr4aefct/9GAUhKMtJhTbwMnTCkoKxYgXMnGmJyPff214z8+bB/Pl2v3Ah\n1KkD22xjO4Ouvd92W7jttsCfsFSWC8zSpdCvn+0c3aQJPP+864jCQclHMOiEJZKwejX88sv6288/\nr7+/++7An7BUlkVSoOQjGHTCEklBCE5YKssiKQhBWU4qCIuMiYiISAFR8iEiIiJ5peRDRERE8krJ\nh4iIiOSVkg8RERHJKyUfIiIikldKPkRERCSvlHyIiIhIXin5EBERkbxS8iEiIiJ5peRDRERE8spV\n8nEa8A2wBmie5H1zgEnAeGB07sPKjXg87jqESgU9xqDHB+GIUbIX9L9z0OMDxehA4OpcV8nH18BJ\nwKhK3ucBMeAAoGWOY8qZMPwnDnqMQY8PwhGjZC/of+egxweK0YHA1bnVcvnhSXybxntDu2ufiIhI\nAASuzg36mA8PeB/4CviH41hERESiLBJ17gisqafs7YRS7/mQ5P1POyTutwEmAK0reN8M7EvTTTfd\nkt9mEGwTcP8d6aZbGG5ly3I+69ys5bLb5WgfPuPHxP0vwJtYH9TH5bxvdx+OJSLu7e86AJGQymed\nm7UgdLtU1L9UE9gi8Xhz4BgsixMREZHMFHSdexIwD/gbWAgMS7y+IzAk8Xg3rNlnAjAZ6JXnGEVE\nRKJAda6IiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiI\niIiIiIiIiIiIiIiIiIiIiIiIiIiIiIiEyDPAT8DXFfw8BvwOjE/cbslPWCIiIqGi+jQNrYEDSP5l\nDcpbNCIiIuEUqvq0iuPjfwwsqeQ9RfkIREREJMRCVZ+6Tj4q4wGHAhOBocA+bsMREREJJdWnZTSk\n4maiLYCaiccdgGn5CEhERCSEGhKS+jToLR9LgWWJx8OATYCty76pUaNGHpbV6aabbslvMwiwZs2a\nuf5+dNMtLLd0y3JK9Wm+BD352I71fVQtE48Xl33TzJkz8TwvsLfbb7/deQxhjzHo8YUlRqBR/opv\n+iZOnOj8Owr73zno8SlGf26kX5ZTqk/zpZqrAyf0A44E6gHzgNuxbAzgCeBU4GJgNZaxnekgRhER\nkaALVX3qOvk4q5KfP5q4iYiISMVCVZ8GvdslEmKxmOsQKhX0GIMeH4QjRsle0P/OQY8PFKMEaM5v\nlrxEH5iIJFFUVATBLvcqyyIpCEFZTkotHyIiIpJXSj5EREQkr5R8iIiISF4p+RAREZG8UvIhIiIi\neaXkQ0RERPLK9SJjIiIbaORwAfi+feHoo90dX6RQKPkQkUB57z03x73pJpgzx82xRQqNkg8RCRRX\nLR+1a0NJiZtjixQajfkQEQGqVFHyIZIvSj5ERFDyIZJPrpOPZ4CfgK+TvOchYDowETggH0GJSOFR\n8iEhF6r61HXy8SzQPsnPOwK7A42BnsDj+QhKRAqPkg8JuVDVp66Tj4+BJUl+3gl4PvH4S6A2sF2u\ngxKRwqPkQ0IuVPVp0Ge77ATMK/V8PlAfa1rawLx5ZV/Jjy22sFHyIhJuSj4k4lKuT/Mh6MkHQFGZ\n5155b2rSpHjd4003jVGjRix3ESWsWQObbgqzZ+f8UCIZicfjxONx12GEgpIPCTKfynJK9Wk+lA3E\nhYbAYGC/cn7WF4gD/RPPvwWOZONMzfO8/H+HP/4IzZvbvUgYFBUVQTDKfUWclGWAG26Arbe2e5Gg\nq6AsNyT7+jQvXI/5qMwg4NzE41bAbzj6oiri6DwpIj5Ty4dEXKDqU9fdLv2wzKse1hd1O7BJ4mdP\nAEOxEbozgL+A7g5irFBRkZIPkahQ8iEhF6r61HXycVYK77k051GISMFT8iEhF6r6NOjdLoGmlg+R\n6FDyIZI/Sj6yUBTkYXsikhYlHyL5o+QjS2r5EIkGJR8i+aPkIwvqdhGJDiUfIvmj5ENEBCUfIvmk\n5CMLavkQiQ4lHyL5k8pU2z2Ba7GV09a+3wPa5Cim0NCAU5HoUPIhkraM84NUko/Xsa13nwLWlPpw\nQS0fIlGh5EMkbRnnB6kkH6sSHy5lqOVDJDqUfIikLeP8IJUxH4OBS4AdgK1L3QS1fIhEhZIPkbRl\nnB+k0vLRDWtGubbUax6wW1ohRpAGnIpEh5IPkbR1I8P8IJXko2FGIRUAdbuIRIeSD5G0Ncz0F1NJ\nPqoDFwNHYBnNR0BfrK+n4KnlQyQaqlSBkSPhH/9wHUnlttgC/u//LOaomDkTevfWOTVkMs4PUrl2\nfxpLUp5PvL8rsBq4IMNgS2sP/Aeoio2W7V3m5zHgbWBW4vkbwF3lfI7nOfgf+/vvsPPOdi8SBkXW\nXBfkNjsnZRlg4UIYPNjJodN26aXw669Qq5brSPz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       "text": [
        "<matplotlib.figure.Figure at 0x10e4c7810>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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C3COtRoPhyy9zHBirKrqmUQcqlkU0NUXt0Ufv2rUN02Tx8cfpdbtc+cxnmG21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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10b8b4390>"
       ]
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Exploiting Sparsity: Total Variation Regularization\n",
      "\n",
      "The noise in the position measurements makes it difficult to pinpoint the vehicle's location. However, we can exploit the fact that the measurments don't *look* like how a vehicle would actually move. The measurments have the vehicle jumping around erratically. Thus, we'll require our recovered vehicle's movements to follow the known dynamics exactly as\n",
      "\n",
      "$$\n",
      "x_{t+1} = A x_t + B u_t,\n",
      "$$\n",
      "\n",
      "which will constrain the way in which the model vehicle can move.\n",
      "\n",
      "This isn't enough, however, beacause no matter what the observed positions $y_t$ are, there is some control schedule $u_t$, which hits those points exactly. But for noisy data like this, that control schedule will probably vary erratically. We can use exploit the fact that we know the changes in the acceleration schedule are sparse. We can try to induce such sparsity by adding total variation regularization to our model:\n",
      "\n",
      "$$\n",
      "\\begin{array}{ll}\n",
      "  \\mbox{minimize} & \\sum_{t=0}^{n} \\|y_t - x_{t,0:1}\\|_2^2 + \\rho\\sum_{t=1}^{n} \\|u_t - u_{t-1}\\|_1\\\\\n",
      "  \\mbox{subject to} & x_{t+1} = A x_t + B u_t\n",
      "\\end{array}\n",
      "$$\n",
      "\n",
      "The first term in the objective penalizes differences between the model and observed positions. The second term penalizes changes in the control schedule. The parameter $\\rho$ trades off between the two. For example, setting $\\rho = 0$ would match the observed positions exactly, but the acceleration schedule wouln't match our expecation.\n",
      "\n",
      "## CVXPY Implementation\n",
      "The code below uses CVXPY to implement and solve the model. The plots compare the true and recovered system state, which end up being very close!"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import cvxpy as cvx\n",
      "\n",
      "x = cvx.Variable(4,n)\n",
      "u = cvx.Variable(2,n)\n",
      "rho = .1\n",
      "    \n",
      "objective = cvx.norm(x[0,:].T - y[0,:])/n + cvx.norm(x[1,:].T - y[1,:])/n\n",
      "objective += rho*cvx.norm1(u[0,0:n-1] - u[0,1:n])/n + rho*cvx.norm1(u[1,0:n-1] - u[1,1:n])/n\n",
      "objective = cvx.Minimize(objective)\n",
      "\n",
      "constraints = []\n",
      "for i in range(n-1):\n",
      "    constraints += [x[:,i+1] == A*x[:,i] + B*u[:,i]]\n",
      "\n",
      "prob = cvx.Problem(objective, constraints)\n",
      "\n",
      "result = prob.solve(solver=cvx.ECOS, verbose=True)\n",
      "\n",
      "x = np.array(x.value)\n",
      "u = np.array(u.value)\n",
      "\n",
      "plot_state((xtrue,utrue),(x,u))\n",
      "plot_positions(xtrue,y,x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "ECOS 1.0.4 - (c) A. Domahidi, Automatic Control Laboratory, ETH Zurich, 2012-2014.\n",
        "\n",
        "It     pcost         dcost      gap     pres    dres     k/t     mu      step     IR\n",
        " 0   +2.391e-21   +2.374e-18   +2e+02   6e+00   6e-01   1e+00   6e-02    N/A     2 1 -\n",
        " 1   +1.618e-01   +3.036e-02   +2e+02   1e+00   1e-01   1e-01   4e-02   0.3755   3 2 2\n",
        " 2   +2.297e-02   +1.292e-02   +1e+02   2e-01   3e-02   3e-02   4e-02   0.1834   3 3 2\n",
        " 3   +6.427e-03   +9.810e-03   +3e+01   2e-02   2e-03   7e-03   1e-02   0.8383   3 2 2\n",
        " 4   +9.668e-03   +1.003e-02   +1e+01   8e-03   8e-04   2e-03   5e-03   0.7990   3 2 2\n",
        " 5   +1.032e-02   +1.005e-02   +9e+00   4e-03   5e-04   5e-04   3e-03   0.7732   3 3 2\n",
        " 6   +1.027e-02   +1.010e-02   +5e+00   2e-03   2e-04   2e-04   1e-03   0.5721   2 2 2\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " 7   +1.020e-02   +1.013e-02   +2e+00   7e-04   8e-05   5e-05   5e-04   0.7329   3 2 2\n",
        " 8   +1.019e-02   +1.012e-02   +1e+00   4e-04   5e-05   9e-07   3e-04   0.9899   2 2 2\n",
        " 9   +1.015e-02   +1.013e-02   +4e-01   1e-04   1e-05   2e-07   1e-04   0.7585   2 2 3\n",
        "10   +1.014e-02   +1.013e-02   +1e-01   5e-05   5e-06   1e-08   3e-05   0.9836   3 3 3\n",
        "11   +1.014e-02   +1.013e-02   +1e-01   3e-05   4e-06   6e-09   3e-05   0.5450   3 3 3\n",
        "12   +1.013e-02   +1.013e-02   +3e-02   1e-05   1e-06   2e-09   7e-06   0.8286   3 3 3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "13   +1.013e-02   +1.013e-02   +2e-02   7e-06   8e-07   1e-09   5e-06   0.4857   3 3 3\n",
        "14   +1.013e-02   +1.013e-02   +6e-03   2e-06   2e-07   3e-10   2e-06   0.7208   3 3 3\n",
        "15   +1.013e-02   +1.013e-02   +2e-03   7e-07   8e-08   1e-10   5e-07   0.7829   2 2 2\n",
        "16   +1.013e-02   +1.013e-02   +2e-04   6e-08   6e-09   9e-12   4e-08   0.9339   3 3 3\n",
        "17   +1.013e-02   +1.013e-02   +4e-06   1e-09   1e-10   2e-13   9e-10   0.9786   3 3 3\n",
        "18   +1.013e-02   +1.013e-02   +1e-07   1e-10   5e-12   7e-15   3e-11   0.9640   2 3 3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "19   +1.013e-02   +1.013e-02   +6e-09   7e-11   3e-13   3e-16   2e-12   0.9572   2 2 2\n",
        "\n",
        "OPTIMAL (within feastol=7.4e-11, reltol=6.2e-07, abstol=6.3e-09).\n",
        "Runtime: 0.239650 seconds.\n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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mFDnAmCNeNJkzXJZmF0JYM7OP56asmq5imJzyAMMNaLJgmKQSEv7YnHe3lU9L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       "text": [
        "<matplotlib.figure.Figure at 0x10d4a0690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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+mucffJDb3vlOubAKcQGsXI65Y8eIx+PYQUC700EvFLBUlVajAZqGF4boiQRt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\nA1YWRGGU+FQDAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109eb88d0>"
       ]
      }
     ],
     "prompt_number": 60
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Robust Kalman Filtering"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "noise_level = .1\n",
      "outlier_percentage = .10\n",
      "\n",
      "outlier_inds = np.random.permutation(n)[:int(np.ceil(outlier_percentage*n))]\n",
      "# noisy observations\n",
      "y = noise_level*np.random.randn(2,n) + xtrue[0:2,:]\n",
      "y[:,outlier_inds] += 10*noise_level*np.random.randn(2,len(outlier_inds)) \n",
      "\n",
      "plot_state((xtrue,utrue))\n",
      "plot_positions(xtrue,y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AOBr43nUgmQrDluZBjzHo8UGwY7z4Yujd23UU0RDkvzMEPz5QjI4Eqi4NQ/Lx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\nXBfkNjsnZRlg4UIYPNjJodN26aXw669Qq5brSPz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       "text": [
        "<matplotlib.figure.Figure at 0x10a3f50d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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B/CXwN8DvbvL/0zRNd+BphNh5/9f3fz+Pv/46U0lCOhxCmnIpTXnl8cf52b/5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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1097edfd0>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import cvxpy as cvx\n",
      "\n",
      "x = cvx.Variable(4,n)\n",
      "u = cvx.Variable(2,n)\n",
      "rho = 1\n",
      "    \n",
      "objective = cvx.norm1(x[0,:].T - y[0,:])/n + cvx.norm1(x[1,:].T - y[1,:])/n\n",
      "objective += rho*cvx.norm1(u[0,0:n-1] - u[0,1:n])/n + rho*cvx.norm1(u[1,0:n-1] - u[1,1:n])/n\n",
      "objective = cvx.Minimize(objective)\n",
      "\n",
      "constraints = []\n",
      "for i in range(n-1):\n",
      "    constraints += [x[:,i+1] == A*x[:,i] + B*u[:,i]]\n",
      "\n",
      "prob = cvx.Problem(objective, constraints)\n",
      "\n",
      "result = prob.solve(solver=cvx.ECOS, verbose=True)\n",
      "\n",
      "x = np.array(x.value)\n",
      "u = np.array(u.value)\n",
      "\n",
      "plot_state((xtrue,utrue),(x,u))\n",
      "plot_positions(xtrue,y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "ECOS 1.0.4 - (c) A. Domahidi, Automatic Control Laboratory, ETH Zurich, 2012-2014.\n",
        "\n",
        "It     pcost         dcost      gap     pres    dres     k/t     mu      step     IR\n",
        " 0   -4.022e-17   +7.876e-15   +2e+02   4e+00   9e-01   1e+00   3e-02    N/A     1 1 -\n",
        " 1   -7.226e-01   +4.412e-01   +2e+02   6e-01   2e-01   1e+00   3e-02   0.3231   2 2 2\n",
        " 2   +1.950e-01   +2.881e-01   +3e+01   7e-02   2e-02   1e-01   5e-03   0.8380   2 2 2\n",
        " 3   +2.772e-01   +2.953e-01   +7e+00   1e-02   3e-03   2e-02   1e-03   0.7967   2 2 2\n",
        " 4   +2.933e-01   +3.004e-01   +3e+00   6e-03   2e-03   9e-03   5e-04   0.5935   2 2 2\n",
        " 5   +2.994e-01   +3.025e-01   +2e+00   3e-03   7e-04   4e-03   2e-04   0.5584   2 2 2\n",
        " 6   +3.014e-01   +3.031e-01   +1e+00   2e-03   5e-04   2e-03   2e-04   0.4179   2 2 2\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " 7   +3.028e-01   +3.035e-01   +8e-01   1e-03   3e-04   1e-03   1e-04   0.5067   2 2 2\n",
        " 8   +3.036e-01   +3.039e-01   +5e-01   8e-04   2e-04   5e-04   7e-05   0.5392   2 2 2\n",
        " 9   +3.039e-01   +3.040e-01   +4e-01   7e-04   2e-04   3e-04   6e-05   0.3422   2 2 2\n",
        "10   +3.042e-01   +3.042e-01   +2e-01   4e-04   9e-05   1e-04   3e-05   0.5917   2 2 2\n",
        "11   +3.042e-01   +3.042e-01   +2e-01   4e-04   9e-05   1e-04   3e-05   0.1854   2 2 2\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "12   +3.043e-01   +3.043e-01   +1e-01   2e-04   5e-05   5e-05   2e-05   0.5988   2 2 2\n",
        "13   +3.044e-01   +3.043e-01   +8e-02   1e-04   3e-05   2e-05   1e-05   0.6520   2 2 2\n",
        "14   +3.044e-01   +3.044e-01   +3e-02   5e-05   1e-05   5e-06   4e-06   0.6679   3 3 3\n",
        "15   +3.044e-01   +3.044e-01   +3e-02   4e-05   9e-06   2e-06   3e-06   0.7001   3 3 3\n",
        "16   +3.044e-01   +3.044e-01   +1e-02   2e-05   5e-06   9e-07   2e-06   0.4626   3 3 3\n",
        "17   +3.044e-01   +3.044e-01   +8e-03   1e-05   3e-06   2e-08   1e-06   0.9899   3 3 3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "18   +3.044e-01   +3.044e-01   +2e-03   4e-06   9e-07   4e-09   3e-07   0.8801   3 3 3\n",
        "19   +3.044e-01   +3.044e-01   +2e-03   3e-06   8e-07   3e-09   3e-07   0.4304   3 3 3\n",
        "20   +3.044e-01   +3.044e-01   +8e-04   1e-06   3e-07   1e-09   1e-07   0.6443   3 3 3\n",
        "21   +3.044e-01   +3.044e-01   +6e-04   9e-07   2e-07   8e-10   8e-08   0.3966   3 3 3\n",
        "22   +3.044e-01   +3.044e-01   +5e-04   7e-07   2e-07   5e-10   6e-08   0.8864   3 3 3\n",
        "23   +3.044e-01   +3.044e-01   +2e-04   4e-07   9e-08   3e-10   3e-08   0.5631   3 3 3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "24   +3.044e-01   +3.044e-01   +3e-05   4e-08   1e-08   3e-11   4e-09   0.9899   3 3 3\n",
        "25   +3.044e-01   +3.044e-01   +5e-07   8e-10   2e-10   6e-13   6e-11   0.9836   3 2 2\n",
        "26   +3.044e-01   +3.044e-01   +5e-09   8e-10   3e-12   6e-15   7e-13   0.9835   2 1 1\n",
        "\n",
        "OPTIMAL (within feastol=7.9e-10, reltol=1.7e-08, abstol=5.3e-09).\n",
        "Runtime: 0.325814 seconds.\n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Xuw2UdC+idaRwKYrCskMHGb93Dlc+7CKdTysGV+hNp4aZcbLwsGCAthwhNYOnBDphOuf0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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a035b90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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B/CXwN8DvbvL/0zRNd+BphNh5/9f3fz+Pv/46U0lCOhxCmnIpTXnl8cf52b/5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       "text": [
        "<matplotlib.figure.Figure at 0x109c4e750>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Missing Data\n",
      "\n",
      "We randomly observe only 40% of the data points. These observations are still noisy."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "noise_level = .1\n",
      "present_percentage = .40\n",
      "\n",
      "inds = np.random.permutation(n)[:int(np.ceil(present_percentage*n))]\n",
      "\n",
      "# noisy observations\n",
      "y = noise_level*np.random.randn(2,n) + xtrue[0:2,:]\n",
      "y = y[:,inds]\n",
      "\n",
      "plot_state((xtrue,utrue))\n",
      "plot_positions(xtrue,y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AOBr43nUgmQrDluZBjzHo8UGwY7z4Yujd23UU0RDkvzMEPz5QjI4Eqi4NQ/Lx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\nXBfkNjsnZRlg4UIYPNjJodN26aXw669Qq5brSPz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       "text": [
        "<matplotlib.figure.Figure at 0x10a1d27d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Kx9F8n5rrMlGvo62uUvjqV7n52mv7PVQhhLgr3TAws1nM+XnMoYYed5thPnBV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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10d18f950>"
       ]
      }
     ],
     "prompt_number": 47
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import cvxpy as cvx\n",
      "\n",
      "x = cvx.Variable(4,n)\n",
      "u = cvx.Variable(2,n)\n",
      "rho = 1\n",
      "\n",
      "m = len(inds)\n",
      "y2 = np.zeros((2,n))\n",
      "y2[:,inds] = y\n",
      "    \n",
      "objective = sum(cvx.square(x[0,ind] - y2[0,ind])/m + cvx.square(x[1,ind] - y2[1,ind])/m for ind in inds )\n",
      "objective += rho*cvx.norm1(u[0,0:n-1] - u[0,1:n])/n + rho*cvx.norm1(u[1,0:n-1] - u[1,1:n])/n\n",
      "objective = cvx.Minimize(objective)\n",
      "\n",
      "constraints = []\n",
      "for i in range(n-1):\n",
      "    constraints += [x[:,i+1] == A*x[:,i] + B*u[:,i]]\n",
      "\n",
      "prob = cvx.Problem(objective, constraints)\n",
      "\n",
      "result = prob.solve(solver=cvx.ECOS, verbose=True)\n",
      "\n",
      "x = np.array(x.value)\n",
      "u = np.array(u.value)\n",
      "\n",
      "plot_state((xtrue,utrue),(x,u))\n",
      "plot_positions(xtrue,y,x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "ECOS 1.0.4 - (c) A. Domahidi, Automatic Control Laboratory, ETH Zurich, 2012-2014.\n",
        "\n",
        "It     pcost         dcost      gap     pres    dres     k/t     mu      step     IR\n",
        " 0   -1.777e-17   -1.366e+03   +8e+03   1e+00   7e+01   1e+00   1e+00    N/A     1 1 -\n",
        " 1   +2.806e+00   -9.916e+01   +1e+03   9e-02   5e+00   8e-01   2e-01   0.9899   1 1 1\n",
        " 2   +2.704e+00   -8.830e-01   +4e+01   3e-03   2e-01   1e-02   8e-03   0.9611   2 1 1\n",
        " 3   +3.837e-01   -2.697e-01   +2e+01   6e-04   3e-02   3e-03   3e-03   0.6906   2 2 2\n",
        " 4   +5.859e-02   -6.326e-03   +2e+00   6e-05   3e-03   3e-04   4e-04   0.8817   2 2 2\n",
        " 5   +3.513e-02   +2.121e-02   +5e-01   1e-05   7e-04   5e-05   8e-05   0.8070   2 2 2\n",
        " 6   +3.046e-02   +2.637e-02   +1e-01   4e-06   2e-04   1e-05   2e-05   0.7573   2 2 2\n",
        " 7   +2.891e-02   +2.759e-02   +4e-02   1e-06   6e-05   3e-06   8e-06   0.8077   2 2 2\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " 8   +2.832e-02   +2.792e-02   +1e-02   4e-07   2e-05   6e-07   2e-06   0.7714   3 2 2\n",
        " 9   +2.824e-02   +2.796e-02   +9e-03   3e-07   1e-05   3e-07   2e-06   0.4787   3 3 3\n",
        "10   +2.810e-02   +2.801e-02   +3e-03   8e-08   4e-06   8e-08   5e-07   0.7467   3 3 3\n",
        "11   +2.805e-02   +2.803e-02   +7e-04   2e-08   1e-06   7e-09   1e-07   0.9561   3 3 3\n",
        "12   +2.804e-02   +2.803e-02   +2e-04   4e-09   2e-07   1e-09   3e-08   0.8978   3 3 3\n",
        "13   +2.804e-02   +2.803e-02   +2e-05   6e-10   3e-08   1e-10   4e-09   0.9426   3 3 3\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "14   +2.803e-02   +2.803e-02   +3e-06   5e-10   5e-09   2e-11   6e-10   0.9184   3 3 3\n",
        "15   +1.879e+03   +1.879e+03   -4e+35   3e+12   2e+03   -2e-11   -6e+31   0.0001   0 0 0\n",
        "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\bUnreliable search direction detected, recovering best iterate (14) and stopping.\n",
        "\n",
        "Close to OPTIMAL (within feastol=4.9e-09, reltol=1.2e-04, abstol=3.3e-06).\n",
        "Runtime: 0.163660 seconds.\n",
        "\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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5c5AOS5hNeDh0nbSXVf4dGFpmAr+16qV2pDiT4kMI62Dmtmz28dyUh13OARU+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\nc6e8REdjJjHpBFwAjM7BcXNKd7UVEbckXu0SNhpwmjUv6tSM8wMn3S4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TxPIcWkWY0b4l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\niIiIiIiIiIiIiIiIiIiIiIiIiIhIiP1/fmjQ+No7e2wAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10d97a050>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jlJNJErkcbcuCbJYok9l1V7vNjn0bDUlUtftnu82x6WmSk5Mo4+O4tt0NlG9T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\nUW80OCJJnPjUp3B/7de45y1vGavgaacZbtKToohIkkauSc9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uLpL62Md46YtfpPX1rxNf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\nHtsQCfLll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       "text": [
        "<matplotlib.figure.Figure at 0x10d97a3d0>"
       ]
      }
     ],
     "prompt_number": 52
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}