{
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  {
   "cell_type": "markdown",
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   "source": [
    "# Inferring parameters of SDEs using a Euler-Maruyama scheme\n",
    "\n",
    "_This notebook is derived from a presentation prepared for the Theoretical Neuroscience Group, Institute of Systems Neuroscience at Aix-Marseile University._"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
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    "slideshow": {
     "slide_type": "-"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline\n",
    "import pymc3 as pm\n",
    "import theano.tensor as tt \n",
    "import scipy\n",
    "from pymc3.distributions.timeseries import EulerMaruyama"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "deletable": true,
    "nbpresent": {
     "id": "2325c7f9-37bd-4a65-aade-86bee1bff5e3"
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    "slideshow": {
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   },
   "source": [
    "## Toy model 1\n",
    "\n",
    "Here's a scalar linear SDE in symbolic form\n",
    "\n",
    "$ dX_t = \\lambda X_t + \\sigma^2 dW_t $\n",
    "\n",
    "discretized with the Euler-Maruyama scheme"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
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    "collapsed": true,
    "deletable": true,
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   "outputs": [],
   "source": [
    "# parameters\n",
    "λ = -0.78\n",
    "σ2 = 5e-3\n",
    "N = 200\n",
    "dt = 1e-1\n",
    "\n",
    "# time series\n",
    "x = 0.1\n",
    "x_t = []\n",
    "\n",
    "# simulate\n",
    "for i in range(N):\n",
    "    x += dt * λ * x + sqrt(dt) * σ2 * randn()\n",
    "    x_t.append(x)\n",
    "    \n",
    "x_t = array(x_t)\n",
    "\n",
    "# z_t noisy observation\n",
    "z_t = x_t + randn(x_t.size) * 5e-3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
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    "new_sheet": false,
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    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
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sNGaMzXq/915ndEkppZTqWUTsBGttDbzr62HHDhg/vsVEVzHjdsPbb+ss7PGm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\nd+9eMjIyeOyxxzjnnHP40Y9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YZWcD9c/lCn/SK4/HfgUKvNtLA+/YcZ43p2ohmBCB92c5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\n7Db9YvwN2RJJ6/FlndPM7DcpvWTtVRrRORx4rppoZuslvUAh3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1105d4c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(10, 3))\n",
    "subplot(121)\n",
    "plot(x_t[:30], 'k', label='$x(t)$', alpha=0.5), plot(z_t[:30], 'r', label='$z(t)$', alpha=0.5)\n",
    "title('Transient'), legend()\n",
    "subplot(122)\n",
    "plot(x_t[30:], 'k', label='$x(t)$', alpha=0.5), plot(z_t[30:], 'r', label='$z(t)$', alpha=0.5)\n",
    "title('All time');\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "What is the inference we want to make? Since we've made a noisy observation of the generated time series, we need to estimate both $x(t)$ and $\\lambda$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "First, we rewrite our SDE as a function returning a tuple of the drift and diffusion coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "button": false,
    "collapsed": true,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "def lin_sde(x, lam):\n",
    "    return lam * x, σ2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Next, we describe the probability model as a set of three stochastic variables, `lam`, `xh`, and `zh`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "nbpresent": {
     "id": "4f90230d-f303-4b3b-a69e-304a632c6407"
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as model:\n",
    "    \n",
    "    # uniform prior, but we know it must be negative\n",
    "    lam = pm.Flat('lam')\n",
    "    \n",
    "    # \"hidden states\" following a linear SDE distribution\n",
    "    # parametrized by time step (det. variable) and lam (random variable)\n",
    "    xh = EulerMaruyama('xh', dt, lin_sde, (lam, ), shape=N, testval=x_t)\n",
    "    \n",
    "    # predicted observation\n",
    "    zh = pm.Normal('zh', mu=xh, sd=5e-3, observed=z_t)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "nbpresent": {
     "id": "287d10b5-0193-4ffe-92a7-362993c4b72e"
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Once the model is constructed, we perform inference, i.e. sample from the posterior distribution, in the following steps:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:10<00:00, 93.65it/s]\n",
      "100%|██████████| 2000/2000 [00:11<00:00, 178.16it/s]\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    \n",
    "    # optimize to find the mode of the posterior as starting point for prob. mass\n",
    "    start = pm.find_MAP(vars=[xh], fmin=scipy.optimize.fmin_l_bfgs_b)\n",
    "\n",
    "    # \"warm up\" to transition from mode to prob. mass\n",
    "    step = pm.NUTS(scaling=start)\n",
    "    trace = pm.sample(1000, step, progressbar=True)\n",
    "\n",
    "    # sample from the prob. mass\n",
    "    step = pm.NUTS(scaling=trace[-1], gamma=.25)\n",
    "    trace = pm.sample(2000, step, start=trace[-1], progressbar=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Next, we plot some basic statistics on the samples from the posterior,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "nbpresent": {
     "id": "925f1829-24cb-4c28-9b6b-7e9c9e86f2fd"
    },
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qVCl/K6gqZfIF0KhdO376/HM61qzJ7t27SU9Pz7MmQkTKFo/HU24LExw/fpy9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\nyBdBfdCt7QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1160870b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(10, 3))\n",
    "subplot(121)\n",
    "plot(percentile(trace[xh], [2.5, 97.5], axis=0).T, 'k', label='$\\hat{x}_{95\\%}(t)$')\n",
    "plot(x_t, 'r', label='$x(t)$')\n",
    "legend()\n",
    "\n",
    "subplot(122)\n",
    "hist(trace[lam], 30, label='$\\hat{\\lambda}$', alpha=0.5)\n",
    "axvline(λ, color='r', label='$\\lambda$', alpha=0.5)\n",
    "legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "A model can fit the data precisely and still be wrong; we need to use _posterior predictive checks_ to assess if, under our fit model, the data our likely.\n",
    "\n",
    "In other words, we \n",
    "- assume the model is correct\n",
    "- simulate new observations\n",
    "- check that the new observations fit with the original data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [00:03<00:00, 504.18it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x117dac080>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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l/Pz8WLx4cW6mecvI18VVyZIladWqVfKtgVWrQr16kMEfqAIFCjBy5Eg2btzI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X/+KaGJVapYpyAobKe6v9fr17IHLl9u+pyqVa2L2AgNFaOLm5v1hCXWFAxPTrRrJ9+1YmgrWTJp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\nMMGVYRiGYRiGYRhGJfj/IRS5LwlHFYcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117d22208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate trace from posterior\n",
    "ppc_trace = pm.sample_ppc(trace, model=model)\n",
    "\n",
    "# plot with data\n",
    "figure(figsize=(10, 3))\n",
    "plot(percentile(ppc_trace['zh'], [2.5, 97.5], axis=0).T, 'k', label=r'$z_{95\\% PP}(t)$')\n",
    "plot(z_t, 'r', label='$z(t)$')\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Note that \n",
    "\n",
    "- inference also estimates the initial conditions\n",
    "- the observed data $z(t)$ lies fully within the 95% interval of the PPC.\n",
    "- there are many other ways of evaluating fit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Toy model 2\n",
    "\n",
    "As the next model, let's use a 2D deterministic oscillator, \n",
    "\\begin{align}\n",
    "\\dot{x} &= \\tau (x - x^3/3 + y) \\\\\n",
    "\\dot{y} &= \\frac{1}{\\tau} (a - x)\n",
    "\\end{align}\n",
    "\n",
    "with noisy observation $z(t) = m x + (1 - m) y + N(0, 0.05)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x117facb00>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Xr16oX7/+tzY1atTAsWPH1DaeLl9mqfgTJ/j3WbO4DJCm+e6Np0OHWGUus4fsZRYUhat3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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117f3b940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N, τ, a, m, σ2 = 200, 3.0, 1.05, 0.2, 1e-1\n",
    "xs, ys = [0.0], [1.0]\n",
    "for i in range(N):\n",
    "    x, y = xs[-1], ys[-1]\n",
    "    dx = τ * (x - x**3.0/3.0 + y)\n",
    "    dy = (1.0 / τ) * (a - x)\n",
    "    xs.append(x + dt * dx + sqrt(dt) * σ2 * randn())\n",
    "    ys.append(y + dt * dy + sqrt(dt) * σ2 * randn())\n",
    "xs, ys = array(xs), array(ys)\n",
    "zs = m * xs + (1 - m) * ys + randn(xs.size) * 0.1\n",
    "\n",
    "figure(figsize=(10, 2))\n",
    "plot(xs, label='$x(t)$')\n",
    "plot(ys, label='$y(t)$')\n",
    "plot(zs, label='$z(t)$')\n",
    "legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Now, estimate the hidden states $x(t)$ and $y(t)$, as well as parameters $\\tau$, $a$ and $m$.\n",
    "\n",
    "As before, we rewrite our SDE as a function returned drift & diffusion coefficients:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "button": false,
    "collapsed": true,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "def osc_sde(xy, τ, a):\n",
    "    x, y = xy[:, 0], xy[:, 1]\n",
    "    dx = τ * (x - x**3.0/3.0 + y)\n",
    "    dy = (1.0 / τ) * (a - x)\n",
    "    dxy = tt.stack([dx, dy], axis=0).T\n",
    "    return dxy, σ2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "As before, the Euler-Maruyama discretization of the SDE is written as a prediction of the state at step $i+1$ based on the state at step $i$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "We can now write our statistical model as before, with uninformative priors on $\\tau$, $a$ and $m$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "xys = c_[xs, ys]\n",
    "\n",
    "with pm.Model() as model:\n",
    "    τh = pm.Uniform('τh', lower=0.1, upper=5.0)\n",
    "    ah = pm.Uniform('ah', lower=0.5, upper=1.5)\n",
    "    mh = pm.Uniform('mh', lower=0.0, upper=1.0)\n",
    "    xyh = EulerMaruyama('xyh', dt, osc_sde, (τh, ah), shape=xys.shape, testval=xys)\n",
    "    zh = pm.Normal('zh', mu=mh * xyh[:, 0] + (1 - mh) * xyh[:, 1], sd=0.1, observed=zs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "As with the linear SDE, we 1) find a MAP estimate, 2) warm up and 3) sample from the probability mass:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:17<00:00,  6.02it/s]\n",
      "100%|██████████| 2000/2000 [01:38<00:00, 20.29it/s]\n"
     ]
    }
   ],
   "source": [
    "with model:\n",
    "    \n",
    "    # optimize to find the mode of the posterior as starting point for prob. mass\n",
    "    start = pm.find_MAP(vars=[xyh], fmin=scipy.optimize.fmin_l_bfgs_b)\n",
    "\n",
    "    # \"warm up\" to transition from mode to prob. mass\n",
    "    step = pm.NUTS(scaling=start)\n",
    "    trace = pm.sample(100, step, progressbar=True)\n",
    "\n",
    "    # sample from the prob. mass\n",
    "    step = pm.NUTS(scaling=trace[-1], gamma=.25)\n",
    "    trace = pm.sample(2000, step, start=trace[-1], progressbar=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Again, the result is a set of samples from the posterior, including our parameters of interest but also the hidden states"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZJiK9fGBgADc3Nx555BHu+vnPITAQrr4aRmZRLaZPn056ejqrV6+egDM/usxm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cbw4cNxzvHggw9m1jvzzDN56aWXePfddznnnHOoU6cObdu2ZdasWcybN4+XX34ZM8ucTK1du3YA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1204e9780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure(figsize=(10, 6))\n",
    "subplot(211)\n",
    "plot(percentile(trace[xyh][..., 0], [2.5, 97.5], axis=0).T, 'k', label='$\\hat{x}_{95\\%}(t)$')\n",
    "plot(xs, 'r', label='$x(t)$')\n",
    "legend(loc=0)\n",
    "subplot(234), hist(trace['τh']), axvline(τ), xlim([1.0, 4.0]), title('τ')\n",
    "subplot(235), hist(trace['ah']), axvline(a), xlim([0, 2.0]), title('a')\n",
    "subplot(236), hist(trace['mh']), axvline(m), xlim([0, 1]), title('m')\n",
    "tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Again, we can perform a posterior predictive check, that our data are likely given the fit model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "button": false,
    "collapsed": false,
    "deletable": true,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2000/2000 [00:09<00:00, 210.01it/s]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x122c6fa90>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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169bh6ekJ6LNxfn5+aJpGnz59CAwMxMrKCmdnZwBOnjxJiRIlAP2srdatW/P4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\nrL+MIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122ac3c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# generate trace from posterior\n",
    "ppc_trace = pm.sample_ppc(trace, model=model)\n",
    "\n",
    "# plot with data\n",
    "figure(figsize=(10, 3))\n",
    "plot(percentile(ppc_trace['zh'], [2.5, 97.5], axis=0).T, 'k', label=r'$z_{95\\% PP}(t)$')\n",
    "plot(zs, 'r', label='$z(t)$')\n",
    "legend()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  },
  "latex_envs": {
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