MDAN_T3_decoding.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/yuvalwas/Distributions.jl/blob/master/MDAN_T3_decoding.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 477,
      "metadata": {
        "id": "KcwRPJNaudHO"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "from matplotlib import colors\n",
        "plt.rcParams['figure.dpi'] = 140\n",
        "plt.rcParams['legend.frameon'] = False\n",
        "ml = plt.MultipleLocator(1)\n",
        "import seaborn as sns"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DTcD2ERLudHJ"
      },
      "source": [
        "# Tutorial 3"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AhzXan9EudHV"
      },
      "source": [
        "# How do we use statistics concepts in analysizing neural data."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ucq9aPTeudHV"
      },
      "source": [
        "### Lets try to decode position from place cells"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VFNri5_budHV"
      },
      "source": [
        "Sheintuch L., Rubin A., Brande-Eilat N., Geva N., Sadeh N., Pinchasof O. & Ziv Y. (2017). Tracking the Same Neurons across Multiple Days in Ca2+ Imaging Data.  Cell Reports. 2017 Oct , 21 (4):1102-1115."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 478,
      "metadata": {
        "id": "Ltt0aYRzudHV",
        "outputId": "b5d11c9c-733e-4590-d746-e1647b6a20d2",
        "colab": {
          "resources": {
            "http://localhost:8080/mouse_demo_video.mp4": {
              "data": "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",
              "ok": false,
              "headers": [
                [
                  "content-length",
                  "1449"
                ],
                [
                  "content-type",
                  "text/html; charset=utf-8"
                ]
              ],
              "status": 404,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 502
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ],
            "text/html": [
              "\n",
              "    <video alt=\"test\"  width=\"640\" height=\"480\" controls>\n",
              "        <source src=\"mouse_demo_video.mp4\" type=\"video/mp4\">\n",
              "    </video>\n"
            ]
          },
          "metadata": {},
          "execution_count": 478
        }
      ],
      "source": [
        "from IPython.display import HTML\n",
        "\n",
        "HTML(\"\"\"\n",
        "    <video alt=\"test\"  width=\"640\" height=\"480\" controls>\n",
        "        <source src=\"mouse_demo_video.mp4\" type=\"video/mp4\">\n",
        "    </video>\n",
        "\"\"\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 479,
      "metadata": {
        "id": "CyORGodBudHW",
        "outputId": "86dd57b7-edff-4a5c-dfc6-61726992aff6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "18137"
            ]
          },
          "metadata": {},
          "execution_count": 479
        }
      ],
      "source": [
        "position = np.load('position.npy') - 1 # approximately 50 ms bins\n",
        "len(position)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 480,
      "metadata": {
        "id": "x1fADOJ2udHW",
        "outputId": "3de7bca6-7dca-477d-c447-6199529d4258",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23]\n"
          ]
        }
      ],
      "source": [
        "all_positions = np.sort(np.unique(position))\n",
        "n_positions = len(all_positions)\n",
        "print(all_positions)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 481,
      "metadata": {
        "id": "t-eFJIl2udHW",
        "outputId": "6d9e2ed5-90d4-4074-d8c4-4efaed0a43bb",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(452, 18137)"
            ]
          },
          "metadata": {},
          "execution_count": 481
        }
      ],
      "source": [
        "neuronal_activity = np.load('neuronal_activity.npy') # binary matrix where ones are detected is a neuron active\n",
        "n_neurons, n_time_points = neuronal_activity.shape\n",
        "n_neurons, n_time_points"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 482,
      "metadata": {
        "id": "OCjulY0yudHX",
        "outputId": "a61895f2-39d5-4fb8-be2c-dc409afeeca9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 563
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#hidden\n",
        "#@title View (part of) data\n",
        "fig,axs = plt.subplots(2,1,sharex=True)\n",
        "axs[0].plot(position)\n",
        "axs[0].set(ylabel='position bin', title='Position along the experiment')\n",
        "\n",
        "neuron, event_time_points = np.where(neuronal_activity)\n",
        "axs[1].scatter(event_time_points, neuron, s=1, c=neuron%7, cmap='Dark2')\n",
        "axs[1].set(xlabel='time point', ylabel='neuron', title='Raster plot', xlim=(0, 2000))\n",
        "\n",
        "plt.tight_layout()"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We want to predict the position of the animal given the neural data at some time point. Using Bayesian framework, we want to calculate the posterior probability \n",
        "\n",
        "\\begin{align}\n",
        "P\\text{ (position | active neurons)} &∝ P \\text{(active neurons | position)} \\cdot P \\text{(position)}  \\\\\n",
        "\\text{posterior} &∝ \\text{likelihood} \\cdot \\text{prior}\n",
        "\\end{align}\n",
        "\n"
      ],
      "metadata": {
        "id": "9I5g0Bq9ZetY"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 1. likelihood\n",
        "## 1.1 Compute likelihood of each neuron\n",
        "First step - we compute $P \\text{(neuron } i \\text{ active | position)}$ for each of the neurons. Intuitively we compute it as the number of times a neuron was active at some position $(k)$, divided by number of time points it spent in that position $(n)$: $P \\text{(neuron } i \\text{ active | position)} = \\frac{k}{n}$.\n",
        "\n",
        "**A note about the model's assumptions:**<br>\n",
        "Here we assume that each neuron has a (biased) coin for each position (with $p=\\frac{k}{n}$). In each position, the neuron flips the appropriate coin, and becomes active if the coin gives heads. If the neuron is a place cell, for example, then inside a place field the probability of heads is high and outside the place field the probability is low. Importantly, the coins don't change throughout the experiment (activity depends only on position)."
      ],
      "metadata": {
        "id": "7IuiA7t6bSwg"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 483,
      "metadata": {
        "id": "ptcMYNjUudHX",
        "outputId": "d3ba0da9-1a74-4a6f-834d-64e389c041a3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 533
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "            neuron 0  neuron 1  neuron 2  neuron 3  neuron 4  neuron 5  \\\n",
              "time point                                                               \n",
              "0                  0         0         0         0         0         0   \n",
              "1                  0         0         0         0         0         0   \n",
              "2                  0         0         0         0         0         0   \n",
              "3                  0         0         0         0         0         0   \n",
              "4                  0         0         0         0         0         0   \n",
              "...              ...       ...       ...       ...       ...       ...   \n",
              "18132              0         0         0         0         0         0   \n",
              "18133              0         0         0         0         0         0   \n",
              "18134              0         0         0         0         0         0   \n",
              "18135              0         0         0         0         0         0   \n",
              "18136              0         0         0         0         0         0   \n",
              "\n",
              "            neuron 6  neuron 7  neuron 8  neuron 9  ...  neuron 443  \\\n",
              "time point                                          ...               \n",
              "0                  0         0         0         0  ...           0   \n",
              "1                  0         0         0         0  ...           0   \n",
              "2                  0         0         0         0  ...           0   \n",
              "3                  0         0         0         0  ...           0   \n",
              "4                  0         0         0         0  ...           0   \n",
              "...              ...       ...       ...       ...  ...         ...   \n",
              "18132              0         0         0         0  ...           0   \n",
              "18133              0         0         0         0  ...           0   \n",
              "18134              0         0         0         0  ...           0   \n",
              "18135              0         0         0         0  ...           0   \n",
              "18136              0         0         0         0  ...           0   \n",
              "\n",
              "            neuron 444  neuron 445  neuron 446  neuron 447  neuron 448  \\\n",
              "time point                                                               \n",
              "0                    0           0           0           0           0   \n",
              "1                    0           0           0           0           0   \n",
              "2                    0           0           0           0           0   \n",
              "3                    0           0           0           0           0   \n",
              "4                    0           0           0           0           0   \n",
              "...                ...         ...         ...         ...         ...   \n",
              "18132                0           0           0           0           0   \n",
              "18133                0           0           0           0           0   \n",
              "18134                0           0           0           0           0   \n",
              "18135                0           0           0           0           0   \n",
              "18136                0           0           0           0           0   \n",
              "\n",
              "            neuron 449  neuron 450  neuron 451  position  \n",
              "time point                                                \n",
              "0                    0           0           0        22  \n",
              "1                    0           0           0        22  \n",
              "2                    0           0           0        22  \n",
              "3                    0           0           0        22  \n",
              "4                    0           0           0        22  \n",
              "...                ...         ...         ...       ...  \n",
              "18132                0           0           0         1  \n",
              "18133                0           0           0         1  \n",
              "18134                0           0           0         1  \n",
              "18135                0           0           0         1  \n",
              "18136                0           0           0         1  \n",
              "\n",
              "[18137 rows x 453 columns]"
            ],
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              "      <td>0</td>\n",
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              "      <td>0</td>\n",
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              "      <td>0</td>\n",
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              "<p>18137 rows × 453 columns</p>\n",
              "</div>\n",
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              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 483
        }
      ],
      "source": [
        "df = pd.DataFrame(neuronal_activity.T, columns=[f'neuron {i}' for i in range(n_neurons)]) # df just contains all data\n",
        "df['position'] = position\n",
        "df.index.name = 'time point'\n",
        "df"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 484,
      "metadata": {
        "id": "ndhqG8UAudHX",
        "outputId": "8f849be9-7fd5-4467-846d-ce00afe41b77",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0       21\n",
              "1     4975\n",
              "2     1378\n",
              "3      277\n",
              "4      214\n",
              "5      187\n",
              "6      236\n",
              "7      185\n",
              "8      150\n",
              "9      138\n",
              "10     153\n",
              "11     157\n",
              "12     147\n",
              "13     148\n",
              "14     146\n",
              "15     142\n",
              "16     158\n",
              "17     158\n",
              "18     175\n",
              "19     190\n",
              "20     265\n",
              "21     511\n",
              "22    7404\n",
              "23     622\n",
              "Name: position, dtype: int64"
            ]
          },
          "metadata": {},
          "execution_count": 484
        }
      ],
      "source": [
        "time_spent = df.position.value_counts().sort_index()\n",
        "time_spent"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 485,
      "metadata": {
        "id": "CYELEN8cudHY",
        "outputId": "70c1b10e-d9f2-4ac1-a982-0aebc02d33b4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 423
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "position    0   1   2   3   4   5   6   7   8   9   ...  14  15  16  17  18  \\\n",
              "neuron 0     0   0   0   0   0   0   0   0   1   0  ...   1   2   2   0   0   \n",
              "neuron 1     0   2   0   0   0   0   0   0   0   0  ...   0   0   0   3   1   \n",
              "neuron 2     0   1   1   0   0   0   0   0   0   0  ...   0   0   0   0   0   \n",
              "neuron 3     0  11   1   0   0   0   0   0   0   0  ...   0   0   0   0   0   \n",
              "neuron 4     0   0   0   0   0   1   1   3   1   0  ...   0   1   1   1   0   \n",
              "...         ..  ..  ..  ..  ..  ..  ..  ..  ..  ..  ...  ..  ..  ..  ..  ..   \n",
              "neuron 447   0   1   0   0   0   1   0   8   3   3  ...   1   0   1   0   0   \n",
              "neuron 448   0  14   1   0   0   0   1   0   0   0  ...   1   0   0   0   0   \n",
              "neuron 449   0   4   1   1   0   0   0   1   0   0  ...   1   0   0   0   1   \n",
              "neuron 450   0   0   3   0   0   0   0   0   0   0  ...   0   0   0   0   0   \n",
              "neuron 451   0   7   0   0   0   0   0   0   0   0  ...   0   0   0   0   0   \n",
              "\n",
              "position    19  20  21  22  23  \n",
              "neuron 0     1   0   0   1   0  \n",
              "neuron 1     0   0   0   4   1  \n",
              "neuron 2     0   0   1   3   4  \n",
              "neuron 3     0   0   0  14   4  \n",
              "neuron 4     1   1   0   2   0  \n",
              "...         ..  ..  ..  ..  ..  \n",
              "neuron 447   0   0   0   0   1  \n",
              "neuron 448   0   0   0   1   0  \n",
              "neuron 449   0   0   0   4   2  \n",
              "neuron 450   0   0   0   0   0  \n",
              "neuron 451   0   0   0   5   0  \n",
              "\n",
              "[452 rows x 24 columns]"
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>position</th>\n",
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              "      <th>neuron 0</th>\n",
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              "      <th>neuron 1</th>\n",
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              "    <tr>\n",
              "      <th>neuron 2</th>\n",
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              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 3</th>\n",
              "      <td>0</td>\n",
              "      <td>11</td>\n",
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              "      <td>14</td>\n",
              "      <td>4</td>\n",
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              "      <th>neuron 4</th>\n",
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              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
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              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
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              "    <tr>\n",
              "      <th>neuron 447</th>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
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              "      <td>8</td>\n",
              "      <td>3</td>\n",
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              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>1</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 448</th>\n",
              "      <td>0</td>\n",
              "      <td>14</td>\n",
              "      <td>1</td>\n",
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              "    <tr>\n",
              "      <th>neuron 449</th>\n",
              "      <td>0</td>\n",
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              "      <td>1</td>\n",
              "      <td>1</td>\n",
              "      <td>0</td>\n",
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              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 450</th>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>3</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
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              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 451</th>\n",
              "      <td>0</td>\n",
              "      <td>7</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
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              "      <td>0</td>\n",
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              "      <td>0</td>\n",
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              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>0</td>\n",
              "      <td>5</td>\n",
              "      <td>0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>452 rows × 24 columns</p>\n",
              "</div>\n",
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            ]
          },
          "metadata": {},
          "execution_count": 485
        }
      ],
      "source": [
        "time_active = df.groupby('position').sum().T\n",
        "time_active"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 486,
      "metadata": {
        "id": "2iJf134KudHY",
        "outputId": "bd18d269-3e8f-43b3-8006-bd4400774907",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 574
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "position     0         1         2        3    4         5         6   \\\n",
              "neuron 0    0.0  0.000000  0.000000  0.00000  0.0  0.000000  0.000000   \n",
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              "neuron 4    0.0  0.000000  0.000000  0.00000  0.0  0.005348  0.004237   \n",
              "...         ...       ...       ...      ...  ...       ...       ...   \n",
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              "neuron 451  0.0  0.001407  0.000000  0.00000  0.0  0.000000  0.000000   \n",
              "\n",
              "position          7         8         9   ...        14        15        16  \\\n",
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              "...              ...       ...       ...  ...       ...       ...       ...   \n",
              "neuron 447  0.043243  0.020000  0.021739  ...  0.006849  0.000000  0.006329   \n",
              "neuron 448  0.000000  0.000000  0.000000  ...  0.006849  0.000000  0.000000   \n",
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              "\n",
              "position          17        18        19        20        21        22  \\\n",
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              "...              ...  \n",
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              "[452 rows x 24 columns]"
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              "    <tr style=\"text-align: right;\">\n",
              "      <th>position</th>\n",
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              "      <td>0.000000</td>\n",
              "      <td>0.000270</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 447</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000201</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.00000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.005348</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.043243</td>\n",
              "      <td>0.020000</td>\n",
              "      <td>0.021739</td>\n",
              "      <td>...</td>\n",
              "      <td>0.006849</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.006329</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.001608</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 448</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.002814</td>\n",
              "      <td>0.000726</td>\n",
              "      <td>0.00000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.004237</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>...</td>\n",
              "      <td>0.006849</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000135</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 449</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000804</td>\n",
              "      <td>0.000726</td>\n",
              "      <td>0.00361</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.005405</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>...</td>\n",
              "      <td>0.006849</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.005714</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000540</td>\n",
              "      <td>0.003215</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 450</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.002177</td>\n",
              "      <td>0.00000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>...</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>neuron 451</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.001407</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.00000</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>...</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000675</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>452 rows × 24 columns</p>\n",
              "</div>\n",
              "      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-8ebc73d8-5a14-462e-a3e6-81fee04270f4')\"\n",
              "              title=\"Convert this dataframe to an interactive table.\"\n",
              "              style=\"display:none;\">\n",
              "        \n",
              "  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n",
              "       width=\"24px\">\n",
              "    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n",
              "    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 0-1.04.2-1.43.59L10.3 9.45l-7.72 7.72c-.78.78-.78 2.05 0 2.83L4 21.41c.39.39.9.59 1.41.59.51 0 1.02-.2 1.41-.59l7.78-7.78 2.81-2.81c.8-.78.8-2.07 0-2.86zM5.41 20L4 18.59l7.72-7.72 1.47 1.35L5.41 20z\"/>\n",
              "  </svg>\n",
              "      </button>\n",
              "      \n",
              "  <style>\n",
              "    .colab-df-container {\n",
              "      display:flex;\n",
              "      flex-wrap:wrap;\n",
              "      gap: 12px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert {\n",
              "      background-color: #E8F0FE;\n",
              "      border: none;\n",
              "      border-radius: 50%;\n",
              "      cursor: pointer;\n",
              "      display: none;\n",
              "      fill: #1967D2;\n",
              "      height: 32px;\n",
              "      padding: 0 0 0 0;\n",
              "      width: 32px;\n",
              "    }\n",
              "\n",
              "    .colab-df-convert:hover {\n",
              "      background-color: #E2EBFA;\n",
              "      box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
              "      fill: #174EA6;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert {\n",
              "      background-color: #3B4455;\n",
              "      fill: #D2E3FC;\n",
              "    }\n",
              "\n",
              "    [theme=dark] .colab-df-convert:hover {\n",
              "      background-color: #434B5C;\n",
              "      box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
              "      filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
              "      fill: #FFFFFF;\n",
              "    }\n",
              "  </style>\n",
              "\n",
              "      <script>\n",
              "        const buttonEl =\n",
              "          document.querySelector('#df-8ebc73d8-5a14-462e-a3e6-81fee04270f4 button.colab-df-convert');\n",
              "        buttonEl.style.display =\n",
              "          google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
              "\n",
              "        async function convertToInteractive(key) {\n",
              "          const element = document.querySelector('#df-8ebc73d8-5a14-462e-a3e6-81fee04270f4');\n",
              "          const dataTable =\n",
              "            await google.colab.kernel.invokeFunction('convertToInteractive',\n",
              "                                                     [key], {});\n",
              "          if (!dataTable) return;\n",
              "\n",
              "          const docLinkHtml = 'Like what you see? Visit the ' +\n",
              "            '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
              "            + ' to learn more about interactive tables.';\n",
              "          element.innerHTML = '';\n",
              "          dataTable['output_type'] = 'display_data';\n",
              "          await google.colab.output.renderOutput(dataTable, element);\n",
              "          const docLink = document.createElement('div');\n",
              "          docLink.innerHTML = docLinkHtml;\n",
              "          element.appendChild(docLink);\n",
              "        }\n",
              "      </script>\n",
              "    </div>\n",
              "  </div>\n",
              "  "
            ]
          },
          "metadata": {},
          "execution_count": 486
        }
      ],
      "source": [
        "p_active = time_active / time_spent\n",
        "p_active"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 487,
      "metadata": {
        "id": "TxzlAcWzudHZ",
        "outputId": "ade4d775-5dac-4d4d-a56a-ffe0f75b6ecf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 556
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#@title View a single neuron\n",
        "neuron_to_plot = 2 #@param\n",
        "plt.bar(all_positions, p_active.iloc[neuron_to_plot, :])\n",
        "plt.ylabel('probability')\n",
        "plt.xlabel('position')\n",
        "plt.title(f'P(neuron {neuron_to_plot} active | position)');"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now let's view all neurons. The figure above corresponds to a row in the figure below."
      ],
      "metadata": {
        "id": "rhwXvYqA4fIC"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 488,
      "metadata": {
        "id": "45enqA3sudHZ",
        "outputId": "9d5cbcd2-1577-403c-c035-084cbfbc3f11",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 556
        },
        "cellView": "form"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "#hidden\n",
        "#@title View all neurons\n",
        "plt.imshow(p_active, aspect='auto', cmap='Purples', interpolation='nearest', vmax=0.05)\n",
        "plt.colorbar(label='probability')\n",
        "plt.xlabel('position')\n",
        "plt.ylabel('neuron')\n",
        "plt.title('P(neuron active | position)');"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#@title Likelihood function for a single neuron\n",
        "def likelihood_of_neuron(neuron, active, pos):\n",
        "  p = p_active.iloc[neuron, pos]\n",
        "  return p if active else 1-p"
      ],
      "metadata": {
        "id": "AMTlph4S91cG"
      },
      "execution_count": 489,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "## examples\n",
        "print(likelihood_of_neuron(neuron=2, active=0, pos=14))\n",
        "print(likelihood_of_neuron(neuron=2, active=1, pos=14))\n",
        "print(likelihood_of_neuron(neuron=8, active=0, pos=14))\n",
        "print(likelihood_of_neuron(neuron=8, active=1, pos=14))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qvcj-YNp_VjP",
        "outputId": "b53c0e0b-0c59-4f8f-d8bc-d1258743ddc0"
      },
      "execution_count": 495,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "1.0\n",
            "0.0\n",
            "0.9931506849315068\n",
            "0.00684931506849315\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 1.2 Likelihood of an activity pattern\n",
        "Now we multiply the likelihood of each neuron to get the likelihood of an activity pattern:\n",
        "\\begin{gather}\n",
        "P(\\text{neuron 1 active, neuron 2 inactive, neuron 3 active, ... | position}) = \\\\\n",
        "P(\\text{neuron 1 active | position}) \\cdot P(\\text{neuron 2 inactive | position}) \\cdot P(\\text{neuron 3 active | position}) \\cdots\n",
        "\\end{gather}\n"
      ],
      "metadata": {
        "id": "JbB4aT0s4N-J"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**A note about the model's assumptions:**<br>\n",
        "We assume the neurons are independent. Per position, each neuron is flipping its own coin to decide whether to acivate, and the coins don't interact. This is generally not true, but the model is still useful."
      ],
      "metadata": {
        "id": "PW7lv6TpBv2A"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "def likelihood_of_pattern(pattern, pos):\n",
        "  return np.prod([likelihood_of_neuron(neuron, active, pos) for neuron, active in enumerate(pattern)])"
      ],
      "metadata": {
        "id": "j3LYDq148Dxv"
      },
      "execution_count": 461,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# example\n",
        "time_point = 952 #@param\n",
        "pattern = neuronal_activity[:, time_point]\n",
        "pos = position[time_point]\n",
        "print('pattern =', pattern)\n",
        "print(f'pattern\\'s likelihood to come from position {pos} =', likelihood_of_pattern(pattern, pos))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SI9UokyrAceS",
        "outputId": "5e1e8e6f-c76d-45f1-c4f5-878c8996e314"
      },
      "execution_count": 462,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "pattern = [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
            " 0 0 0 0 0 0 0 0]\n",
            "pattern's likelihood to come from position 5 = 2.5974340850078933e-06\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Now let's say we don't know in which position this pattern was measured. We plot the pattern's likelihood for each position (the likelihood function)."
      ],
      "metadata": {
        "id": "lQyDa0GGC3VZ"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "likelihood = [likelihood_of_pattern(pattern, pos) for pos in all_positions]\n",
        "MLE = np.argmax(likelihood) # maximum likelihood estimator"
      ],
      "metadata": {
        "id": "irYPGQWHxEmb"
      },
      "execution_count": 463,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "#hidden\n",
        "#@title plot likelihood\n",
        "plt.bar(all_positions, likelihood)\n",
        "plt.ylabel('P(activity pattern | position)')\n",
        "plt.xlabel('position')\n",
        "plt.title(f'Likelihood function for the pattern at time {time_point}')\n",
        "plt.vlines(MLE, *plt.ylim(), 'black', 'dashed', label='MLE of position')\n",
        "plt.legend()\n",
        "sns.despine()\n",
        "plt.xlim(-0.5, all_positions[-1]+0.5)\n",
        "plt.gca().xaxis.set_minor_locator(ml)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 556
        },
        "id": "Qt2tcOqLDRjh",
        "outputId": "1bbca8a4-b7a6-4081-88cb-781a1d12e97f"
      },
      "execution_count": 464,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "At this point, if we had to predict one location for this pattern, we would choose the position the maximizes the likelihood."
      ],
      "metadata": {
        "id": "9BM3Ak-hEhGX"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 2. Prior\n",
        "So far, we didn't take into account the fact the the animal is more likely to be in some positions than others (it spent much more time in the edges than in any middle point). \n",
        "\n",
        "Notice that the prior does not depend on the time / position we are currently predicitng location for.\n"
      ],
      "metadata": {
        "id": "MxjOYie9t24o"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "prior = time_spent / time_spent.sum()"
      ],
      "metadata": {
        "id": "zMepEr4y6ReS"
      },
      "execution_count": 465,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "#hidden\n",
        "#@title plot prior\n",
        "plt.bar(all_positions, prior)\n",
        "plt.ylabel('P(position)')\n",
        "plt.xlabel('position')\n",
        "plt.title('Prior for the position')\n",
        "sns.despine(offset=2)\n",
        "plt.xlim(-0.5, all_positions[-1]+0.5)\n",
        "plt.gca().xaxis.set_minor_locator(ml)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 560
        },
        "id": "lNTIjNBPu0jc",
        "outputId": "d4223cbb-0489-4c47-f725-4e0367127225"
      },
      "execution_count": 466,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# 3. Posterior\n",
        "Now we put it together by multiplying the prior with the likelihood (and normalizing), to get the posterior for our example pattern."
      ],
      "metadata": {
        "id": "1ZcWYzrfvihs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "posterior = prior * likelihood\n",
        "posterior /= posterior.sum()\n",
        "MAP = posterior.argmax() # maximum a-posteriori"
      ],
      "metadata": {
        "id": "mIf39p0wxm6N"
      },
      "execution_count": 467,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fig, axs = plt.subplots(3, 1, figsize=(5,5), sharex=True)\n",
        "\n",
        "axs[0].bar(all_positions, prior)\n",
        "axs[0].set(ylabel='P(position)', title='Prior');\n",
        "\n",
        "axs[1].bar(all_positions, likelihood)\n",
        "axs[1].set(ylabel='P(activity | position)', title=f'Likelihood');\n",
        "axs[1].vlines(MLE, *axs[1].get_ylim(), 'black', 'dashed', label='MLE')\n",
        "axs[1].legend(loc='upper left')\n",
        "\n",
        "axs[2].bar(all_positions, posterior)\n",
        "axs[2].set(ylabel='P(position | activity)', title=f'Posterior');\n",
        "axs[2].vlines(MAP, *axs[2].get_ylim(), 'black', 'dashed', label='MAP')\n",
        "axs[2].legend(loc='upper left')\n",
        "\n",
        "sns.despine(offset=2)\n",
        "axs[2].xaxis.set_minor_locator(ml)\n",
        "axs[2].set_xlim(0, all_positions[-1]+0.5)\n",
        "plt.tight_layout()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 702
        },
        "id": "2BV6oOQpx0DW",
        "outputId": "029f3427-4682-4b88-ae7c-eff1408a7e72"
      },
      "execution_count": 468,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 700x700 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Notice that as we said previously, the posterior is a compromise between the prior and the likelihood. Mathematically, this compromise is their product. This means that if one of the components in the compromise is zero, the result will always be zero. In this case we have zero in the likelihood for some of the positions. Recall that in the previous tutorial, we discussed the case of zeros in the prior.\n",
        "\n",
        "As we said before, assigning zero probability to some event is a very strong statement - it means we are absolutely confident that that event is **impossible**. However, our likelihood was estimated by very finite data. \n",
        "Recall how we calculated the likelihood:\n",
        "$$\\text{likelihood} =  P(\\text{activity of neuron 1 | position}) \\cdot P(\\text{activity of  neuron 2 | position}) \\cdots = \\frac{k_1}{n}\\cdot\\frac{k_2}{n}\\cdots$$\n",
        "i.e., it is enough that a single neuron was never active in some position during the recording for the likelihood of the pattern at that position to be zero.\n",
        "\n",
        "One way to fix this is smoothing the likelihood. We'll use Additive Smoothing."
      ],
      "metadata": {
        "id": "VwcR5Fam60UL"
      }
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "s4fPHKhGudHa"
      },
      "source": [
        "## Additive smoothing"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0VobChsvudHa"
      },
      "source": [
        "PReviously we calculated $p=\\frac{k}{n}$. Using additive smoothing we calculate instead\n",
        "$$ p_{AS}= \\frac{k+1}{n+2}$$\n",
        "This prevents $p$ from being 0 or 1 while changing only slightly probabilities in between.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 469,
      "metadata": {
        "id": "Vn9AFIGgudHb"
      },
      "outputs": [],
      "source": [
        "p_active = (time_active+1) / (time_spent+2)\n",
        "\n",
        "def likelihood_of_neuron(neuron, active:bool, pos):\n",
        "  if active:\n",
        "    return p_active.iloc[neuron, pos]\n",
        "  else:\n",
        "    return 1 - p_active.iloc[neuron, pos]\n",
        "\n",
        "likelihood = [likelihood_of_pattern(pattern, pos) for pos in all_positions]\n",
        "MLE = np.argmax(likelihood) # maximum likelihood estimator\n",
        "\n",
        "posterior = prior * likelihood\n",
        "posterior /= posterior.sum()\n",
        "MAP = posterior.argmax() # maximum a-posteriori"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "fig, axs = plt.subplots(3, 1, figsize=(5,5), sharex=True)\n",
        "\n",
        "axs[0].bar(all_positions, prior)\n",
        "axs[0].set(ylabel='P(position)', title='Prior');\n",
        "\n",
        "axs[1].bar(all_positions, likelihood)\n",
        "axs[1].set(ylabel='P(activity | position)', title=f'Likelihood');\n",
        "axs[1].vlines(MLE, *axs[1].get_ylim(), 'black', 'dashed', label='MLE')\n",
        "axs[1].legend(loc='upper left')\n",
        "\n",
        "axs[2].bar(all_positions, posterior)\n",
        "axs[2].set(ylabel='P(position | activity)', title=f'Posterior');\n",
        "axs[2].vlines(MAP, *axs[2].get_ylim(), 'black', 'dashed', label='MAP')\n",
        "axs[2].legend(loc='upper left')\n",
        "\n",
        "sns.despine(offset=2)\n",
        "axs[2].xaxis.set_minor_locator(ml)\n",
        "axs[2].set_xlim(0, all_positions[-1]+0.5)\n",
        "\n",
        "plt.tight_layout()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 702
        },
        "id": "Exb0YI3WCcLe",
        "outputId": "7f996ca1-8b36-4d02-c02b-d72a713b86bb"
      },
      "execution_count": 470,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 700x700 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 471,
      "metadata": {
        "id": "t0FPM7TgudHb"
      },
      "outputs": [],
      "source": [
        "# Note: calculating this is very slow, but it is the most direct way\n",
        "# MAPs = []\n",
        "# for pattern in neuronal_activity.T:\n",
        "#   likelihood = [likelihood_of_pattern(pattern, pos) for pos in all_positions]\n",
        "#   MAP = (prior * likelihood).argmax()\n",
        "#   MAPs.append(MAP)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 472,
      "metadata": {
        "id": "38bSa5EqudHb",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "37632d2c-0b0d-475e-c8c6-300548ae9721"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([22, 22, 22, ..., 22, 22, 22], dtype=uint64)"
            ]
          },
          "metadata": {},
          "execution_count": 472
        }
      ],
      "source": [
        "# A much more efficient way to calculate \n",
        "log_p_active = np.log(p_active.to_numpy())\n",
        "log_p_inactive = np.log(1-p_active.to_numpy())\n",
        "tiled_patterns = np.tile(neuronal_activity, (24,1,1)).transpose(2,1,0)\n",
        "loglikelihood = (tiled_patterns*log_p_active + (1-tiled_patterns)*log_p_inactive).sum(axis=1)\n",
        "log_prior = np.log(prior.to_numpy())\n",
        "MAPs = p_active.columns[(loglikelihood + log_prior).argmax(axis=1)].to_numpy()\n",
        "MAPs"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 473,
      "metadata": {
        "id": "x5sjane1udHc",
        "outputId": "9c278a8e-0600-4407-b36e-58b3a193253e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 500
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.plot(position, '.', label='real position')\n",
        "plt.plot(MAPs, '.', label='decoded position')\n",
        "plt.xlim(0, 2000)\n",
        "plt.legend(frameon=True, framealpha=1);"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.corrcoef(position, MAPs)[0,1] # pearson correlation between real and decoded position"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eRqBUZpdNBaX",
        "outputId": "4f84a2dc-73af-4be4-e48e-c2055499935c"
      },
      "execution_count": 474,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.45834450173961433"
            ]
          },
          "metadata": {},
          "execution_count": 474
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.hist2d(position, MAPs,\n",
        "            norm = colors.LogNorm(),\n",
        "            bins = np.arange(0.5,24.5,1))\n",
        "plt.colorbar(label='frequency')\n",
        "plt.xlabel('real position')\n",
        "plt.ylabel('decoded position');"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 527
        },
        "id": "pt6DNWcQNQs0",
        "outputId": "80e27c68-3404-40e1-9091-81acc263bb65"
      },
      "execution_count": 475,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 840x560 with 2 Axes>"
            ],
            "image/png": 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\n"
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          "metadata": {
            "needs_background": "light"
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      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "models_and_data_analysis",
      "language": "python",
      "name": "models_and_data_analysis"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.5"
    },
    "colab": {
      "provenance": [],
      "collapsed_sections": [
        "DTcD2ERLudHJ"
      ],
      "include_colab_link": true
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}