Basic LMU implementation.ipynb

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   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import nengo\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook shows how to build an LMU (Legendre Memory Unit) using Nengo, and explores some thing that we can do with it.\n",
    "\n",
    "First, let's build the linear part of an LMU.  This is just a linear differential equation of the form $\\dot x = Ax + Bu$ where $A$ and $B$ are carefully chosen so that $x$ will represent the past history of $u$ over some window $\\theta$.  The way it does this is to encode the past history using Legendre polynomials.  This fact will let us decode information about $u$ out of $x$.  We call this component a Legendre Delay Network (LDN).\n",
    "\n",
    "To implement this in Nengo, we define a `nengo.Process`.  This is arbitrary Python code that will be called every timestep during the nengo simulation.  Since this is going to be run on a computer with a discrete time step, we also discretize the system using the standard zero-order-hold approach (this makes the discrete simulation be very very close to the ideal continuous result, without forcing us to go with a very small time step)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.linalg\n",
    "from scipy.special import legendre\n",
    "\n",
    "class LDN(nengo.Process):\n",
    "    def __init__(self, theta, q, size_in=1):\n",
    "        self.q = q              # number of internal state dimensions per input\n",
    "        self.theta = theta      # size of time window (in seconds)\n",
    "        self.size_in = size_in  # number of inputs\n",
    "\n",
    "        # Do Aaron's math to generate the matrices A and B so that\n",
    "        #  dx/dt = Ax + Bu will convert u into a legendre representation over a window theta\n",
    "        #  https://github.com/arvoelke/nengolib/blob/master/nengolib/synapses/analog.py#L536\n",
    "        A = np.zeros((q, q))\n",
    "        B = np.zeros((q, 1))\n",
    "        for i in range(q):\n",
    "            B[i] = (-1.)**i * (2*i+1)\n",
    "            for j in range(q):\n",
    "                A[i,j] = (2*i+1)*(-1 if i<j else (-1.)**(i-j+1)) \n",
    "        self.A = A / theta\n",
    "        self.B = B / theta        \n",
    "        \n",
    "        super().__init__(default_size_in=size_in, default_size_out=q*size_in)\n",
    "\n",
    "    def make_step(self, shape_in, shape_out, dt, rng, state=None):\n",
    "        state = np.zeros((self.q, self.size_in))\n",
    "\n",
    "        # Handle the fact that we're discretizing the time step\n",
    "        #  https://en.wikipedia.org/wiki/Discretization#Discretization_of_linear_state_space_models\n",
    "        Ad = scipy.linalg.expm(self.A*dt)\n",
    "        Bd = np.dot(np.dot(np.linalg.inv(self.A), (Ad-np.eye(self.q))), self.B)\n",
    "\n",
    "        # this code will be called every timestep\n",
    "        def step_legendre(t, x, state=state):\n",
    "            state[:] = np.dot(Ad, state) + np.dot(Bd, x[None, :])\n",
    "            return state.T.flatten()\n",
    "        return step_legendre\n",
    "\n",
    "    def get_weights_for_delays(self, r):\n",
    "        # compute the weights needed to extract the value at time r\n",
    "        # from the network (r=0 is right now, r=1 is theta seconds ago)\n",
    "        r = np.asarray(r)\n",
    "        m = np.asarray([legendre(i)(2*r - 1) for i in range(self.q)])\n",
    "        return m.reshape(self.q, -1).T"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "Now let's build this into a simple model where we just feed in a pulse and see what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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   "source": [
    "theta = 0.1   # the size of the time window to remember\n",
    "q = 6         # the number of basis functions to use to represent that window\n",
    "\n",
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(lambda t: 1 if 0.2<t else 0)  # our stimulus\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))   \n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,5))\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim])\n",
    "plt.ylabel('$u$')\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(sim.trange(), sim.data[p_ldn])\n",
    "plt.ylabel('$x$')\n",
    "plt.xlabel('time (s)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Okay, so this weird differential equation does something over time based on an input.  But how well is it representing that pulse?  Let's try extracting some information out of the LDN.  In particular, let's extract what it thinks the value was 0.25 seconds ago.  Since theta is 0.5s, 0.25s ago is half way through our window.  We can ask the LDN for the weights that will decode that information, which is just the value of the Legendre polynomials at that point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
     },
     "metadata": {},
     "output_type": "display_data"
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         "border": "1px solid #cfcfcf",
         "borderRadius": "4px",
         "textAlign": "center",
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       "children": [
        {
         "tagName": "div",
         "attributes": {
          "class": "pb-text",
          "style": {
           "position": "absolute",
           "width": "100%"
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         "children": [
          "Build finished in 0:00:01."
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        },
        {
         "tagName": "div",
         "attributes": {
          "class": "pb-fill",
          "style": {
           "width": "100%",
           "animation": "none",
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           "backgroundSize": "100px 100%",
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         "children": [
          {
           "tagName": "style",
           "attributes": {
            "type": "text/css",
            "scoped": "scoped"
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           "children": [
            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
           ]
          },
          " "
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      "text/html": "\n                <script>\n                    if (Jupyter.version.split(\".\")[0] < 5) {\n                        var pb = document.getElementById(\"9265b2c3-2451-450d-8f22-8420490b62a0\");\n                        var text = document.createTextNode(\n                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n                            \"5.0 or Jupyter Lab. Alternatively, you can use \" +\n                            \"TerminalProgressBar().\");\n                        pb.parentNode.insertBefore(text, pb);\n                    }\n                </script>\n                <div id=\"9265b2c3-2451-450d-8f22-8420490b62a0\" style=\"\n                    width: 100%;\n                    border: 1px solid #cfcfcf;\n                    border-radius: 4px;\n                    text-align: center;\n                    position: relative;\">\n                  <div class=\"pb-text\" style=\"\n                      position: absolute;\n                      width: 100%;\">\n                    0%\n                  </div>\n                  <div class=\"pb-fill\" style=\"\n                      background-color: #bdd2e6;\n                      width: 0%;\">\n                    <style type=\"text/css\" scoped=\"scoped\">\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }\n                    </style>\n                    &nbsp;\n                  </div>\n                </div>",
      "text/plain": "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
     },
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        {
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            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
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          " "
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       ]
      },
      "text/html": "<script>\n              (function () {\n                  var root = document.getElementById('9265b2c3-2451-450d-8f22-8420490b62a0');\n                  var text = root.getElementsByClassName('pb-text')[0];\n                  var fill = root.getElementsByClassName('pb-fill')[0];\n\n                  text.innerHTML = 'Simulation finished in 0:00:01.';\n                  \n            if (100.0 > 0.) {\n                fill.style.transition = 'width 0.1s linear';\n            } else {\n                fill.style.transition = 'none';\n            }\n\n            fill.style.width = '100.0%';\n            fill.style.animation = 'none';\n            fill.style.backgroundImage = 'none'\n        \n                  \n                fill.style.animation = 'none';\n                fill.style.backgroundImage = 'none';\n            \n              })();\n        </script>"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = 0.5\n",
    "q = 6\n",
    "\n",
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(lambda t: 1 if 0.2<t<0.25 else 0)\n",
    "    #stim = nengo.Node(nengo.processes.WhiteSignal(high=3, period=3))\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    delayed_output = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(ldn, delayed_output, transform=ldn.output.get_weights_for_delays([0.5]))\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "    p_delayed_output = nengo.Probe(delayed_output)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1008x432 with 3 Axes>",
      "image/png": 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     },
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     },
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    }
   ],
   "source": [
    "plt.figure(figsize=(14,6))\n",
    "plt.subplot(3, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim])\n",
    "plt.ylabel('$u$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 2)\n",
    "plt.plot(sim.trange(), sim.data[p_ldn])\n",
    "plt.ylabel('$x$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 3)\n",
    "plt.plot(sim.trange(), sim.data[p_delayed_output], label='output')\n",
    "plt.plot(sim.trange()+0.25, sim.data[p_stim], ls='--', label='ideal output')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.legend()\n",
    "plt.xlabel('time (s)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hmm, it sort of works, but it's not great.  This is probably because we're asking it to encode a pulse, which is a very high frequency signal!  Let's try increasing $q$ so it is using more legendre polynomials, and thus is encoding higher frequencies."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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       "                  var root = document.getElementById('6a4ee82a-1ac1-4fa3-a270-88a59347a654');\n",
       "                  var text = root.getElementsByClassName('pb-text')[0];\n",
       "                  var fill = root.getElementsByClassName('pb-fill')[0];\n",
       "\n",
       "                  text.innerHTML = 'Simulation finished in 0:00:01.';\n",
       "                  \n",
       "            if (100.0 > 0.) {\n",
       "                fill.style.transition = 'width 0.1s linear';\n",
       "            } else {\n",
       "                fill.style.transition = 'none';\n",
       "            }\n",
       "\n",
       "            fill.style.width = '100.0%';\n",
       "            fill.style.animation = 'none';\n",
       "            fill.style.backgroundImage = 'none'\n",
       "        \n",
       "                  \n",
       "                fill.style.animation = 'none';\n",
       "                fill.style.backgroundImage = 'none';\n",
       "            \n",
       "              })();\n",
       "        </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = 0.5\n",
    "q = 20\n",
    "\n",
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(lambda t: 1 if 0.2<t<0.25 else 0)\n",
    "    #stim = nengo.Node(nengo.processes.WhiteSignal(high=3, period=3))\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    delayed_output = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(ldn, delayed_output, transform=ldn.output.get_weights_for_delays([0.5]))\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "    p_delayed_output = nengo.Probe(delayed_output)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,6))\n",
    "plt.subplot(3, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim])\n",
    "plt.ylabel('$u$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 2)\n",
    "plt.plot(sim.trange(), sim.data[p_ldn])\n",
    "plt.ylabel('$x$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 3)\n",
    "plt.plot(sim.trange(), sim.data[p_delayed_output], label='output')\n",
    "plt.plot(sim.trange()+0.25, sim.data[p_stim], ls='--', label='ideal output')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.legend()\n",
    "plt.xlabel('time (s)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sweet!  If we want more accuracy, we could increase $q$ further, or decrease the window size, but this is good for now."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One other thing we could do is to take the $x$ value at a particular point in time and plot what it thinks the value is over the whole window of time. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_plot = 0.3\n",
    "w = np.linspace(0, 1, 1000)\n",
    "decoder = LDN(theta=theta, q=q).get_weights_for_delays(w)\n",
    "plt.plot(w*theta, decoder.dot(sim.data[p_ldn][int(t_plot/0.001)]))\n",
    "plt.xlabel('amount of time into the past (s)')\n",
    "plt.title(f'represented information at time T={t_plot}')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could also try feeding in a band-limited white noise signal, to see how it handles a smoother input.  In this case, we're also putting $q$ back to 6 as that's probably fine for a slowly varying signal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vdom.v1+json": {
       "attributes": {},
       "tagName": "div"
      },
      "text/html": [
       "\n",
       "                <script>\n",
       "                    if (Jupyter.version.split(\".\")[0] < 5) {\n",
       "                        var pb = document.getElementById(\"dff709f4-ed11-4fe5-9890-4fd65b91c43d\");\n",
       "                        var text = document.createTextNode(\n",
       "                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n",
       "                            \"5.0 or Jupyter Lab. Alternatively, you can use \" +\n",
       "                            \"TerminalProgressBar().\");\n",
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       "                    border-radius: 4px;\n",
       "                    text-align: center;\n",
       "                    position: relative;\">\n",
       "                  <div class=\"pb-text\" style=\"\n",
       "                      position: absolute;\n",
       "                      width: 100%;\">\n",
       "                    0%\n",
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       "                  <div class=\"pb-fill\" style=\"\n",
       "                      background-color: #bdd2e6;\n",
       "                      width: 0%;\">\n",
       "                    <style type=\"text/css\" scoped=\"scoped\">\n",
       "                        @keyframes pb-fill-anim {\n",
       "                            0% { background-position: 0 0; }\n",
       "                            100% { background-position: 100px 0; }\n",
       "                        }\n",
       "                    </style>\n",
       "                    &nbsp;\n",
       "                  </div>\n",
       "                </div>"
      ],
      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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        "style": {
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         "boxSizing": "border-box",
         "position": "relative",
         "textAlign": "center",
         "width": "100%"
        }
       },
       "children": [
        {
         "attributes": {
          "class": "pb-text",
          "style": {
           "position": "absolute",
           "width": "100%"
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          }
         },
         "children": [
          {
           "attributes": {
            "scoped": "scoped",
            "type": "text/css"
           },
           "children": [
            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
           ],
           "tagName": "style"
          },
          " "
         ],
         "tagName": "div"
        }
       ],
       "tagName": "div"
      },
      "text/html": [
       "<script>\n",
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       "                  text.innerHTML = 'Build finished in 0:00:01.';\n",
       "                  \n",
       "            fill.style.width = '100%';\n",
       "            fill.style.animation = 'pb-fill-anim 2s linear infinite';\n",
       "            fill.style.backgroundSize = '100px 100%';\n",
       "            fill.style.backgroundImage = 'repeating-linear-gradient(' +\n",
       "                '90deg, #bdd2e6, #edf2f8 40%, #bdd2e6 80%, #bdd2e6)';\n",
       "        \n",
       "                  \n",
       "                fill.style.animation = 'none';\n",
       "                fill.style.backgroundImage = 'none';\n",
       "            \n",
       "              })();\n",
       "        </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vdom.v1+json": {
       "attributes": {},
       "tagName": "div"
      },
      "text/html": [
       "\n",
       "                <script>\n",
       "                    if (Jupyter.version.split(\".\")[0] < 5) {\n",
       "                        var pb = document.getElementById(\"0760d5e7-bc9e-46a5-8944-d2ee7e57ec5d\");\n",
       "                        var text = document.createTextNode(\n",
       "                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n",
       "                            \"5.0 or Jupyter Lab. Alternatively, you can use \" +\n",
       "                            \"TerminalProgressBar().\");\n",
       "                        pb.parentNode.insertBefore(text, pb);\n",
       "                    }\n",
       "                </script>\n",
       "                <div id=\"0760d5e7-bc9e-46a5-8944-d2ee7e57ec5d\" style=\"\n",
       "                    width: 100%;\n",
       "                    border: 1px solid #cfcfcf;\n",
       "                    border-radius: 4px;\n",
       "                    text-align: center;\n",
       "                    position: relative;\">\n",
       "                  <div class=\"pb-text\" style=\"\n",
       "                      position: absolute;\n",
       "                      width: 100%;\">\n",
       "                    0%\n",
       "                  </div>\n",
       "                  <div class=\"pb-fill\" style=\"\n",
       "                      background-color: #bdd2e6;\n",
       "                      width: 0%;\">\n",
       "                    <style type=\"text/css\" scoped=\"scoped\">\n",
       "                        @keyframes pb-fill-anim {\n",
       "                            0% { background-position: 0 0; }\n",
       "                            100% { background-position: 100px 0; }\n",
       "                        }\n",
       "                    </style>\n",
       "                    &nbsp;\n",
       "                  </div>\n",
       "                </div>"
      ],
      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vdom.v1+json": {
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        "style": {
         "border": "1px solid #cfcfcf",
         "borderRadius": "4px",
         "boxSizing": "border-box",
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         "textAlign": "center",
         "width": "100%"
        }
       },
       "children": [
        {
         "attributes": {
          "class": "pb-text",
          "style": {
           "position": "absolute",
           "width": "100%"
          }
         },
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          "Simulation finished in 0:00:01."
         ],
         "tagName": "div"
        },
        {
         "attributes": {
          "class": "pb-fill",
          "style": {
           "animation": "none",
           "backgroundColor": "#bdd2e6",
           "backgroundImage": "none",
           "transition": "width 0.1s linear",
           "width": "100%"
          }
         },
         "children": [
          {
           "attributes": {
            "scoped": "scoped",
            "type": "text/css"
           },
           "children": [
            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
           ],
           "tagName": "style"
          },
          " "
         ],
         "tagName": "div"
        }
       ],
       "tagName": "div"
      },
      "text/html": [
       "<script>\n",
       "              (function () {\n",
       "                  var root = document.getElementById('0760d5e7-bc9e-46a5-8944-d2ee7e57ec5d');\n",
       "                  var text = root.getElementsByClassName('pb-text')[0];\n",
       "                  var fill = root.getElementsByClassName('pb-fill')[0];\n",
       "\n",
       "                  text.innerHTML = 'Simulation finished in 0:00:01.';\n",
       "                  \n",
       "            if (100.0 > 0.) {\n",
       "                fill.style.transition = 'width 0.1s linear';\n",
       "            } else {\n",
       "                fill.style.transition = 'none';\n",
       "            }\n",
       "\n",
       "            fill.style.width = '100.0%';\n",
       "            fill.style.animation = 'none';\n",
       "            fill.style.backgroundImage = 'none'\n",
       "        \n",
       "                  \n",
       "                fill.style.animation = 'none';\n",
       "                fill.style.backgroundImage = 'none';\n",
       "            \n",
       "              })();\n",
       "        </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = 0.5\n",
    "q = 6\n",
    "\n",
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(nengo.processes.WhiteSignal(high=3, period=3))\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    delayed_output = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(ldn, delayed_output, transform=ldn.output.get_weights_for_delays([0.5]))\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "    p_delayed_output = nengo.Probe(delayed_output)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,6))\n",
    "plt.subplot(3, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim])\n",
    "plt.ylabel('$u$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 2)\n",
    "plt.plot(sim.trange(), sim.data[p_ldn])\n",
    "plt.ylabel('$x$')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.subplot(3, 1, 3)\n",
    "plt.plot(sim.trange(), sim.data[p_delayed_output], label='output')\n",
    "plt.plot(sim.trange()+0.25, sim.data[p_stim], ls='--', label='ideal output')\n",
    "plt.xlim(0, 1.5)\n",
    "plt.legend()\n",
    "plt.xlabel('time (s)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Looking for patterns\n",
    "\n",
    "We can decode a particular point in time, but what if we want to search for a pattern that occurs across time?  Well, one thing we could do is to decode lots of different points in time and weight them by different amounts.  Since everything is linear, we can add all this decoding up and it ends up being just one set of decoding weights.  That is, detecting the presence of a pattern is the same amount of computational complexity as decoding out one particular point in time!\n",
    "\n",
    "For example, let's look for this particular pattern below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x166090381f0>]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.linspace(0, 1, 500)\n",
    "v = np.zeros(500)\n",
    "v[100:150] = -0.5\n",
    "v[150:200] = 1.0\n",
    "v[200:250] = -0.5\n",
    "plt.plot(t, v)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To find this pattern, we just compute the weighted sum of the decoding valuess for each point in time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.00000000e+00  4.44089210e-18 -6.02407219e-02  9.05421672e-02\n",
      "  4.47589992e-02 -2.02360567e-01  9.21100624e-02  2.09133753e-01\n",
      " -2.62235780e-01 -6.68216137e-02  3.28245090e-01 -1.35933042e-01\n",
      " -2.36061721e-01  2.61874664e-01  5.86030696e-02 -2.47880972e-01\n",
      "  8.26630470e-02  1.42626110e-01 -1.24708006e-01 -3.90194061e-02]\n"
     ]
    }
   ],
   "source": [
    "theta = 0.5\n",
    "q = 20\n",
    "w = LDN(theta=theta, q=q).get_weights_for_delays([t])\n",
    "d = w.T.dot(v)*0.02    # with a scaling factor to keep the resulting magnitude reasonable\n",
    "print(d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's see if this works.  We'll generate a pattern of inputs to feed into the system so we can see how it behaves for inputs close to, but not quite, the same as the desired pattern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
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       "                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n",
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       "                    border-radius: 4px;\n",
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       "                      background-color: #bdd2e6;\n",
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       "                    </style>\n",
       "                    &nbsp;\n",
       "                  </div>\n",
       "                </div>"
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      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
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        {
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          "class": "pb-text",
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       "                    &nbsp;\n",
       "                  </div>\n",
       "                </div>"
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      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
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     },
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          {
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           "children": [
            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
           ],
           "tagName": "style"
          },
          " "
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         "tagName": "div"
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       ],
       "tagName": "div"
      },
      "text/html": [
       "<script>\n",
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       "\n",
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       "            fill.style.animation = 'none';\n",
       "            fill.style.backgroundImage = 'none'\n",
       "        \n",
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       "                fill.style.animation = 'none';\n",
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     "metadata": {},
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   ],
   "source": [
    "theta = 0.5\n",
    "q = 20\n",
    "\n",
    "pattern = [0,-0.4,1.0,-0.4,0,0,0,1.0,0,0,0,-0.4,1.0,0,0,0]\n",
    "\n",
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(nengo.processes.PresentInput(pattern, presentation_time=0.05))\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    detect = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(ldn, detect, transform=[d])\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "    p_detect = nengo.Probe(detect)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim])\n",
    "plt.ylabel('$u$')\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(sim.trange(), sim.data[p_detect])\n",
    "plt.ylabel('output')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Notice that the output reaches its highest value when the correct pattern appears, but it will get close to that peak for similar patterns.\n",
    "\n",
    "Also, note that the output peaks *after* the pattern is presented.  That's because we're specifically looking for that pattern *at a particular time in the past*.  \n",
    "\n",
    "It is also worth noting that, so far, everything we've done has been completely linear.  In fact, there's another name for what we've done here: the system is computing the convolution of our input with the desired pattern."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "plt.plot(sim.trange(), np.convolve(sim.data[p_stim][:,0], v)[:1500]*0.02, label='convolution')\n",
    "plt.plot(sim.trange(), sim.data[p_detect], label='network output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adding a non-linearity: the full LMU\n",
    "\n",
    "So the system so far can be useful if we want to do some linear operation on our input, such as convolving it with any arbitrary pattern.  But, it'd be good to do non-linear things as well.\n",
    "\n",
    "The easiest way to add a non-linearity is to just take the output from the LDN and feed it into a layer of neurons.  We call this system an LMU.  We can now use whatever methods we feel like to train the non-linear part, but importantly we don't have to train the linear part.  This means we just have to do feed-forward training, which can be much more efficient than doing recurrent training.\n",
    "\n",
    "As an example, let's build a network that can detect whether the input is a 1Hz sine wave or a 2Hz sine wave.  To do this, we start by generating some training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x16608f48ca0>]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dt = 0.001\n",
    "t = np.arange(10000)*dt\n",
    "stim1 = np.sin(t*2*np.pi).reshape(-1,1)\n",
    "stim2 = np.sin(t*2*np.pi*2).reshape(-1,1)\n",
    "\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.plot(t, stim1)\n",
    "plt.plot(t, stim2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we feed those signals into the LDN.  Since this is the data that would be fed into the non-linear neural network part, this is the actual training data for our system.  \n",
    "\n",
    "Fortunately, `nengo.Process` objects have a nice helper function `apply` that does this for us."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = LDN(theta=theta, q=q).apply(stim1)\n",
    "x2 = LDN(theta=theta, q=q).apply(stim2)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(12,4))\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(x1)\n",
    "plt.title('1Hz wave')\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.plot(x2)\n",
    "plt.title('2Hz wave')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we collect this data together so we can use it as training data in Nengo.  This requires us to make an `eval_points` array (the inputs to the network) and a `targets` array (the corresponding desired outputs)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "eval_points = np.vstack([x1, x2])\n",
    "targets = np.hstack([np.ones(len(x1)), -np.ones(len(x2))]).reshape(-1,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we build our model again and this time we add some neurons and tell Nengo to decode out our desired function using this training data.  Note that this is the same as the normal nengo approach of specifying a `function` when we make a `Connection`, but here we're specifying the exact data to train with, rather than giving a function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
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       "                    border-radius: 4px;\n",
       "                    text-align: center;\n",
       "                    position: relative;\">\n",
       "                  <div class=\"pb-text\" style=\"\n",
       "                      position: absolute;\n",
       "                      width: 100%;\">\n",
       "                    0%\n",
       "                  </div>\n",
       "                  <div class=\"pb-fill\" style=\"\n",
       "                      background-color: #bdd2e6;\n",
       "                      width: 0%;\">\n",
       "                    <style type=\"text/css\" scoped=\"scoped\">\n",
       "                        @keyframes pb-fill-anim {\n",
       "                            0% { background-position: 0 0; }\n",
       "                            100% { background-position: 100px 0; }\n",
       "                        }\n",
       "                    </style>\n",
       "                    &nbsp;\n",
       "                  </div>\n",
       "                </div>"
      ],
      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vdom.v1+json": {
       "attributes": {
        "id": "5d0967f6-8959-4e13-a5eb-e32852639bcb",
        "style": {
         "border": "1px solid #cfcfcf",
         "borderRadius": "4px",
         "boxSizing": "border-box",
         "position": "relative",
         "textAlign": "center",
         "width": "100%"
        }
       },
       "children": [
        {
         "attributes": {
          "class": "pb-text",
          "style": {
           "position": "absolute",
           "width": "100%"
          }
         },
         "children": [
          "Simulation finished in 0:00:01."
         ],
         "tagName": "div"
        },
        {
         "attributes": {
          "class": "pb-fill",
          "style": {
           "animation": "none",
           "backgroundColor": "#bdd2e6",
           "backgroundImage": "none",
           "transition": "width 0.1s linear",
           "width": "100%"
          }
         },
         "children": [
          {
           "attributes": {
            "scoped": "scoped",
            "type": "text/css"
           },
           "children": [
            "\n                        @keyframes pb-fill-anim {\n                            0% { background-position: 0 0; }\n                            100% { background-position: 100px 0; }\n                        }}"
           ],
           "tagName": "style"
          },
          " "
         ],
         "tagName": "div"
        }
       ],
       "tagName": "div"
      },
      "text/html": [
       "<script>\n",
       "              (function () {\n",
       "                  var root = document.getElementById('496cd47b-33f8-431b-af3f-098d0b7a404c');\n",
       "                  var text = root.getElementsByClassName('pb-text')[0];\n",
       "                  var fill = root.getElementsByClassName('pb-fill')[0];\n",
       "\n",
       "                  text.innerHTML = 'Simulation finished in 0:00:01.';\n",
       "                  \n",
       "            if (100.0 > 0.) {\n",
       "                fill.style.transition = 'width 0.1s linear';\n",
       "            } else {\n",
       "                fill.style.transition = 'none';\n",
       "            }\n",
       "\n",
       "            fill.style.width = '100.0%';\n",
       "            fill.style.animation = 'none';\n",
       "            fill.style.backgroundImage = 'none'\n",
       "        \n",
       "                  \n",
       "                fill.style.animation = 'none';\n",
       "                fill.style.backgroundImage = 'none';\n",
       "            \n",
       "              })();\n",
       "        </script>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim = nengo.Node(lambda t: np.sin(2*np.pi*t) if t<4 else np.sin(2*np.pi*t*2))\n",
    "    \n",
    "    ldn = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim, ldn, synapse=None)\n",
    "    \n",
    "    neurons = nengo.Ensemble(n_neurons=200, dimensions=q, neuron_type=nengo.LIF())\n",
    "    nengo.Connection(ldn, neurons)\n",
    "    \n",
    "    category = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(neurons, category, eval_points=eval_points, function=targets)\n",
    "    \n",
    "    p_stim = nengo.Probe(stim)\n",
    "    p_ldn = nengo.Probe(ldn)\n",
    "    p_category = nengo.Probe(category, synapse=0.01)\n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,4))\n",
    "plt.plot(sim.trange(), sim.data[p_stim], label='stimulus')\n",
    "plt.plot(sim.trange(), sim.data[p_category], label='output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It works!  For more complex situations, we'd probably want to generate a lot more training data to cover different inputs, but we'd use the same approach as shown here.  We could also have multiple outputs, rather than just one."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Coincidence detection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The approach shown above will work for any function you want to decode, as long as you have enough neurons.  However, in some situations you may have more specific information about the function you're trying to get it to do, and that may let you design the system to work with fewer neurons.\n",
    "\n",
    "For example, let's say we want to do coincidence detection across two separate inputs.  In particular, maybe we have two inputs (fed into two separate LDNs), and we want to know whether there's a particular temporal pattern between them.  In particular, let's look for two pulses, one of them 50ms after the other.\n",
    "\n",
    "We could do this the same way as the above example: take all the data from both LMUs, feed them into a layer of neurons, and train it to find the pattern we want using a bunch of training data.  As an alternative, however, we can use what we know of the system to make choices about the network that will make it more efficient.  \n",
    "\n",
    "In this case, we know that there are only certain point in time that are important.  So we can decode out just those two points in time and feed that into the network.   Furthermore, we can decide what operation we might want to do on those two points in time.  In this case, I've decided to just compute the product."
   ]
  },
  {
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim1 = nengo.Node(nengo.processes.PresentInput([1,0,0,0,0], presentation_time=0.05))\n",
    "    stim2 = nengo.Node(nengo.processes.PresentInput([0,1,0,0,0,0], presentation_time=0.05))\n",
    "    \n",
    "    ldn1 = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim1, ldn1, synapse=None)\n",
    "\n",
    "    ldn2 = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim2, ldn2, synapse=None)\n",
    "    \n",
    "    n = nengo.Ensemble(n_neurons=50, dimensions=2)\n",
    "    product_output = nengo.Node(None, size_in=1)\n",
    "    nengo.Connection(n, product_output, function=lambda x: x[0]*x[1], synapse=None)\n",
    "    nengo.Connection(ldn1, n[0], synapse=None, transform=ldn.output.get_weights_for_delays([0]))\n",
    "    nengo.Connection(ldn2, n[1], synapse=None, transform=ldn.output.get_weights_for_delays([0.1]))\n",
    "    \n",
    "    p_stim1 = nengo.Probe(stim1)\n",
    "    p_stim2 = nengo.Probe(stim2)\n",
    "    p_product = nengo.Probe(product_output, synapse=0.01)\n",
    "    \n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(4)\n",
    "    \n",
    "plt.figure(figsize=(12,4))\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim1], label='stim 1')\n",
    "plt.plot(sim.trange(), sim.data[p_stim2], label='stim 2')\n",
    "plt.legend()\n",
    "plt.subplot(2, 1, 2)\n",
    "\n",
    "plt.plot(sim.trange(), sim.data[p_product], label='output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This nicely picks out the peaks, and only uses 50 neurons.\n",
    "\n",
    "\n",
    "If we want to optimize this even more, Nengo has a built-in network for computing a product.  This network actually splits things out into two networks and uses the $xy=((x+y)^2-(x-y)^2)/4$ identity to optimize the neurons.  This lets us get away with even fewer neurons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vdom.v1+json": {
       "attributes": {},
       "tagName": "div"
      },
      "text/html": [
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       "                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n",
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       "            fill.style.backgroundSize = '100px 100%';\n",
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       "                        var text = document.createTextNode(\n",
       "                            \"HMTL progress bar requires Jupyter Notebook >= \" +\n",
       "                            \"5.0 or Jupyter Lab. Alternatively, you can use \" +\n",
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      "text/plain": [
       "HtmlProgressBar cannot be displayed. Please use the TerminalProgressBar. It can be enabled with `nengo.rc['progress']['progress_bar'] = 'nengo.utils.progress.TerminalProgressBar'`."
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = nengo.Network()\n",
    "with model:\n",
    "    stim1 = nengo.Node(nengo.processes.PresentInput([1,0,0,0,0], presentation_time=0.05))\n",
    "    stim2 = nengo.Node(nengo.processes.PresentInput([0,1,0,0,0,0], presentation_time=0.05))\n",
    "    \n",
    "    ldn1 = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim1, ldn1, synapse=None)\n",
    "\n",
    "    ldn2 = nengo.Node(LDN(theta=theta, q=q))\n",
    "    nengo.Connection(stim2, ldn2, synapse=None)\n",
    "    \n",
    "    product = nengo.networks.Product(n_neurons=20, dimensions=1)\n",
    "    nengo.Connection(ldn1, product.input_a, synapse=None, transform=ldn.output.get_weights_for_delays([0.]))\n",
    "    nengo.Connection(ldn2, product.input_b, synapse=None, transform=ldn.output.get_weights_for_delays([0.1]))\n",
    "    \n",
    "    p_stim1 = nengo.Probe(stim1)\n",
    "    p_stim2 = nengo.Probe(stim2)\n",
    "    p_product = nengo.Probe(product.output, synapse=0.01)\n",
    "    \n",
    "sim = nengo.Simulator(model)\n",
    "with sim:\n",
    "    sim.run(4)\n",
    "    \n",
    "plt.figure(figsize=(12,4))\n",
    "plt.subplot(2, 1, 1)\n",
    "plt.plot(sim.trange(), sim.data[p_stim1], label='stim 1')\n",
    "plt.plot(sim.trange(), sim.data[p_stim2], label='stim 2')\n",
    "plt.legend()\n",
    "plt.subplot(2, 1, 2)\n",
    "\n",
    "plt.plot(sim.trange(), sim.data[p_product], label='output')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is important to point out here that this final network has exactly the same overall structure as the network where we just fed all the LDN data into a layer of neurons.  It just uses fewer neurons, and has a different way of generating the connection weights.  We can look at the network model in the nengo GUI to confirm this.\n",
    "\n",
    "Click on the \"Product\" box to look inside it, and then click on the \"sq1\" and \"sq2\" boxes.  We can see the only non-linearities are the two pools of neurons in sq1 and sq2.  All the other dots and lines are just linear matrix operations.  So if we want we can multiply all of those matrices together and just get the direct connection weights from ldn1 and ldn2 to our neurons (which we can also think of as a single layer). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "                req.addEventListener(\"load\", function() {\n",
       "                    if (this.status != 200 && this.response != 'OK') {\n",
       "                        let p = document.getElementById('5db2cf98-98a4-4940-ab3e-e3b4e9000073').parentNode;\n",
       "                        p.innerHTML +=\n",
       "                            'The nengo_gui.jupyter notebook server ' +\n",
       "                            'extension was not loaded. Please activate it ' +\n",
       "                            'with the following command:' +\n",
       "                            '<pre>jupyter serverextension enable ' +\n",
       "                            'nengo_gui.jupyter</pre>';\n",
       "                        p.classList.add('output_stderr');\n",
       "                    }\n",
       "                });\n",
       "                req.open('GET', './nengo/check', true);\n",
       "                req.send();\n",
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       "            </script>\n",
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      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vdom.v1+json": {
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      "text/html": [
       "\n",
       "                <div id=\"1a159014-5d3a-4dc5-827f-027d3d92d2a4\">\n",
       "                    <iframe\n",
       "                        src=\"./nengo/57601/?token=0fa62d5f4ffa483061b7cef5c1274fe0bc21eb9e2972a7d4\"\n",
       "                        width=\"100%\"\n",
       "                        height=\"600\"\n",
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       "                        allowfullscreen></iframe>\n",
       "                </div>\n",
       "            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import nengo_gui.jupyter\n",
    "nengo_gui.jupyter.InlineGUI(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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