SBI Code Example.ipynb

sbi-code-example.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/MaverickMeerkat/a2afe4e15f71a5cd1afd18fe196fd7b6/sbi-code-example.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3uf-xAYRrTjQ"
      },
      "source": [
        "Official Tutorials can be found here: https://www.mackelab.org/sbi/"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QNk1h7N0q2CE"
      },
      "source": [
        "Colab comes (as of April 2022) with pytorch 1.10 already installed. But latest pyro-ppl package (which is used by SBI) demands 1.11. That is why we fix the pyro version to an older version."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "K_Uqk-h7qx4-",
        "outputId": "00d34d51-c067-4ac2-86e8-bf177e8f37c6"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting pyro-ppl==1.8.0\n",
            "  Downloading pyro_ppl-1.8.0-py3-none-any.whl (713 kB)\n",
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            "\u001b[?25hRequirement already satisfied: numpy>=1.7 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl==1.8.0) (1.21.6)\n",
            "Requirement already satisfied: opt-einsum>=2.3.2 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl==1.8.0) (3.3.0)\n",
            "Collecting pyro-api>=0.1.1\n",
            "  Downloading pyro_api-0.1.2-py3-none-any.whl (11 kB)\n",
            "Requirement already satisfied: tqdm>=4.36 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl==1.8.0) (4.64.0)\n",
            "Requirement already satisfied: torch>=1.9.0 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl==1.8.0) (1.11.0+cu113)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from torch>=1.9.0->pyro-ppl==1.8.0) (4.2.0)\n",
            "Installing collected packages: pyro-api, pyro-ppl\n",
            "Successfully installed pyro-api-0.1.2 pyro-ppl-1.8.0\n"
          ]
        }
      ],
      "source": [
        "!pip install pyro-ppl==1.8.0  # to make sure we don't require updating torch"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "P6YSx3eWrrEW"
      },
      "source": [
        "Take latest SBI from GitHub - to make sure some bugs are fixed."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OsUoq5WNr0sF",
        "outputId": "d2d67171-4402-40b2-a45e-79f55d339796"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting git+https://github.com/mackelab/sbi.git\n",
            "  Cloning https://github.com/mackelab/sbi.git to /tmp/pip-req-build-dk5touuv\n",
            "  Running command git clone -q https://github.com/mackelab/sbi.git /tmp/pip-req-build-dk5touuv\n",
            "Requirement already satisfied: joblib>=1.0.0 in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.1.0)\n",
            "Requirement already satisfied: matplotlib in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (3.2.2)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.21.6)\n",
            "Requirement already satisfied: pillow in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (7.1.2)\n",
            "Collecting pyknos>=0.14.2\n",
            "  Downloading pyknos-0.14.2-py2.py3-none-any.whl (21 kB)\n",
            "Requirement already satisfied: pyro-ppl>=1.3.1 in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.8.0)\n",
            "Requirement already satisfied: scikit-learn in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.0.2)\n",
            "Requirement already satisfied: scipy in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.4.1)\n",
            "Requirement already satisfied: tensorboard in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (2.8.0)\n",
            "Requirement already satisfied: torch>=1.8.0 in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (1.11.0+cu113)\n",
            "Requirement already satisfied: tqdm in /usr/local/lib/python3.7/dist-packages (from sbi==0.18.0) (4.64.0)\n",
            "Collecting nflows==0.14\n",
            "  Downloading nflows-0.14.tar.gz (45 kB)\n",
            "\u001b[K     |████████████████████████████████| 45 kB 2.3 MB/s \n",
            "\u001b[?25hRequirement already satisfied: pyro-api>=0.1.1 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl>=1.3.1->sbi==0.18.0) (0.1.2)\n",
            "Requirement already satisfied: opt-einsum>=2.3.2 in /usr/local/lib/python3.7/dist-packages (from pyro-ppl>=1.3.1->sbi==0.18.0) (3.3.0)\n",
            "Requirement already satisfied: typing-extensions in /usr/local/lib/python3.7/dist-packages (from torch>=1.8.0->sbi==0.18.0) (4.2.0)\n",
            "Requirement already satisfied: pyparsing!=2.0.4,!=2.1.2,!=2.1.6,>=2.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->sbi==0.18.0) (3.0.8)\n",
            "Requirement already satisfied: kiwisolver>=1.0.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->sbi==0.18.0) (1.4.2)\n",
            "Requirement already satisfied: cycler>=0.10 in /usr/local/lib/python3.7/dist-packages (from matplotlib->sbi==0.18.0) (0.11.0)\n",
            "Requirement already satisfied: python-dateutil>=2.1 in /usr/local/lib/python3.7/dist-packages (from matplotlib->sbi==0.18.0) (2.8.2)\n",
            "Requirement already satisfied: six>=1.5 in /usr/local/lib/python3.7/dist-packages (from python-dateutil>=2.1->matplotlib->sbi==0.18.0) (1.15.0)\n",
            "Requirement already satisfied: threadpoolctl>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from scikit-learn->sbi==0.18.0) (3.1.0)\n",
            "Requirement already satisfied: tensorboard-plugin-wit>=1.6.0 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (1.8.1)\n",
            "Requirement already satisfied: grpcio>=1.24.3 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (1.44.0)\n",
            "Requirement already satisfied: google-auth-oauthlib<0.5,>=0.4.1 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (0.4.6)\n",
            "Requirement already satisfied: werkzeug>=0.11.15 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (1.0.1)\n",
            "Requirement already satisfied: wheel>=0.26 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (0.37.1)\n",
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            "Requirement already satisfied: markdown>=2.6.8 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (3.3.6)\n",
            "Requirement already satisfied: protobuf>=3.6.0 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (3.17.3)\n",
            "Requirement already satisfied: tensorboard-data-server<0.7.0,>=0.6.0 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (0.6.1)\n",
            "Requirement already satisfied: setuptools>=41.0.0 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (57.4.0)\n",
            "Requirement already satisfied: requests<3,>=2.21.0 in /usr/local/lib/python3.7/dist-packages (from tensorboard->sbi==0.18.0) (2.23.0)\n",
            "Requirement already satisfied: cachetools<5.0,>=2.0.0 in /usr/local/lib/python3.7/dist-packages (from google-auth<3,>=1.6.3->tensorboard->sbi==0.18.0) (4.2.4)\n",
            "Requirement already satisfied: rsa<5,>=3.1.4 in /usr/local/lib/python3.7/dist-packages (from google-auth<3,>=1.6.3->tensorboard->sbi==0.18.0) (4.8)\n",
            "Requirement already satisfied: pyasn1-modules>=0.2.1 in /usr/local/lib/python3.7/dist-packages (from google-auth<3,>=1.6.3->tensorboard->sbi==0.18.0) (0.2.8)\n",
            "Requirement already satisfied: requests-oauthlib>=0.7.0 in /usr/local/lib/python3.7/dist-packages (from google-auth-oauthlib<0.5,>=0.4.1->tensorboard->sbi==0.18.0) (1.3.1)\n",
            "Requirement already satisfied: importlib-metadata>=4.4 in /usr/local/lib/python3.7/dist-packages (from markdown>=2.6.8->tensorboard->sbi==0.18.0) (4.11.3)\n",
            "Requirement already satisfied: zipp>=0.5 in /usr/local/lib/python3.7/dist-packages (from importlib-metadata>=4.4->markdown>=2.6.8->tensorboard->sbi==0.18.0) (3.8.0)\n",
            "Requirement already satisfied: pyasn1<0.5.0,>=0.4.6 in /usr/local/lib/python3.7/dist-packages (from pyasn1-modules>=0.2.1->google-auth<3,>=1.6.3->tensorboard->sbi==0.18.0) (0.4.8)\n",
            "Requirement already satisfied: chardet<4,>=3.0.2 in /usr/local/lib/python3.7/dist-packages (from requests<3,>=2.21.0->tensorboard->sbi==0.18.0) (3.0.4)\n",
            "Requirement already satisfied: certifi>=2017.4.17 in /usr/local/lib/python3.7/dist-packages (from requests<3,>=2.21.0->tensorboard->sbi==0.18.0) (2021.10.8)\n",
            "Requirement already satisfied: urllib3!=1.25.0,!=1.25.1,<1.26,>=1.21.1 in /usr/local/lib/python3.7/dist-packages (from requests<3,>=2.21.0->tensorboard->sbi==0.18.0) (1.24.3)\n",
            "Requirement already satisfied: idna<3,>=2.5 in /usr/local/lib/python3.7/dist-packages (from requests<3,>=2.21.0->tensorboard->sbi==0.18.0) (2.10)\n",
            "Requirement already satisfied: oauthlib>=3.0.0 in /usr/local/lib/python3.7/dist-packages (from requests-oauthlib>=0.7.0->google-auth-oauthlib<0.5,>=0.4.1->tensorboard->sbi==0.18.0) (3.2.0)\n",
            "Building wheels for collected packages: sbi, nflows\n",
            "  Building wheel for sbi (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for sbi: filename=sbi-0.18.0-py3-none-any.whl size=249135 sha256=83b9fa3e4e51d7060d78e906544d34b5579320e4e2be5d112a3872a27a9ab36e\n",
            "  Stored in directory: /tmp/pip-ephem-wheel-cache-cq3xvi3r/wheels/ec/5e/57/c36ec57b88f0171a9ae28a4b2ce8929e89497743da5c1bb745\n",
            "  Building wheel for nflows (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for nflows: filename=nflows-0.14-py3-none-any.whl size=53671 sha256=408ffaf177692b29f9f691d8b3030028dbb9ed85ca639ab555a6a32dd9cbfd10\n",
            "  Stored in directory: /root/.cache/pip/wheels/c0/b6/52/0092eedabce8f7faa35b92522393fbdc1ec5ede99b0ec820d5\n",
            "Successfully built sbi nflows\n",
            "Installing collected packages: nflows, pyknos, sbi\n",
            "Successfully installed nflows-0.14 pyknos-0.14.2 sbi-0.18.0\n"
          ]
        }
      ],
      "source": [
        "!pip install git+https://github.com/mackelab/sbi.git"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "0BVt8Ri7r2XU"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "# pytorch related stuff\n",
        "import torch\n",
        "import torch.distributions as D # for distributions\n",
        "\n",
        "# SBI related stuff\n",
        "import sbi\n",
        "from sbi.inference import SNPE, SNLE, SNRE\n",
        "from sbi import utils as utils\n",
        "from sbi import analysis as analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fmV4m4FEsNZP"
      },
      "source": [
        "# 2 Moons Problem"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FV6W3xTXs5wL"
      },
      "source": [
        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mcUJrP8+fNTFa5FWFgYjSqfefPm0dS1y8ybKxmzTZxRGGOMyYMzCmOMMXlwRmGMMSYPziiMMcbkwRmFMcaYPDijMMYYkwdnFMYYY/LgjMIYY0wenFEYY4zJgzMKY4wxeXBGYYwxJg/OKIzJLyUl5d27dxQwZjM4ozAmp82bNwcGBtarV6906dJFixYdNGhQXFwcDWPM2nFGYUw206ZN69u3b2JioggPHDjg5eWVL1++u3fvihLGrBtnFMbk8ejRIz8/P5UeydKlS7Nly9aoUSOKGbNqnFGs0LVr10aOHFm3bt1ixYoNHz6cSjXhY/0yWr9+PZJHjRo1KE714sULFDo5Oan81O/fv6dPjFkRzijWZsqUKY6Ojv9/w1SqGTNm0AA1Y8eOnTp1KgXMaDExMd7e3iNGjKA4VVJSknijZUJCAhV9/Pj06dOGDRveunWLYsasBWcUc4faJyws7O+//6ZYp8OHD4tEAvb29iVKlMC/07D0Bg8eHBQURAEzmUOHDmFdFC9enOI0R48e/fTTT/n8CrMynFHMXZ06dVAl1a5dm2KdWrdu7e/vv2TJkvv371ORJosXL/bx8YmPj6dYTXR09IQJE0aNGrV06dLnz59TqaG2b99+4MABCuQg1+wZMJ2XL19OmjSJAgnatWuH1bd27VqKlcyaNatixYqvX7+mmDHLxxnF3Dk7O4sOh44EIMTGxhYuXDjDUyOXLl3CNNGboTi9CxculCpVqlOnTnv37j19+nRkZKS3t/fcuXNpsJ7QBh80aBDmH3+pyDhyzZ4B00lOTt68ebOfnx8W58WLF1SqE3qWGBmZg2I1wcHBoaGhFDBm+TijmLXbt2+jShLQ86BSLX7//ff+/ftToF2zZs1Qk1KQ3sWLF11dXb/77juKU+3bt8/JyWn8+PEUSzBjxozu3btXqVKlQoUKBQoUwMyHhYXRMCPINXt6TefatWt9+vQJCgoqVqxYjRo1xLp49uwZDdZu9+7duXPnXrRoEcWanDp1Cm0F/KWYMQvHGcWsbd261cvLS3RTWrduTaVaNG3aNDo6mgItMEFM6uDBgxSnFxgY6OHh8ebNG4rTdOvWzdHRUXrFt2XLlnXr1omTBE2aNME3ypJR5Jo9vabz6NGjZcuWId+8f/9ecZoqw4yyc+dOHx+fDFcHNGjQAPNDAWMWjjOKWZs6dSpaxx07dkQtljNnTsWtc+pevXrl6emZ4SGvevXqVa5cmYL0oqKi8C1ffPEFxUqQITCoffv2FOtDrowi1+wZMx2JGWXHjh3onylfyjVt2jRtB8pEjj9x4gTFjFkyzihmrWfPnqNGjVq1apWoyHRc8fXPP/+0adOGAi1u3ryJiWg7W4BKFkPHjRtHsRJx8M3JycmA0+ByZRS5Zs+Y6UjJKNu2bWvRooVK/qhevTp9UvPhwwf0QXv37k0xY5aMM4pZCwwM3LhxI7om6KCgItORM/r06ZPhCWpUo5jI+fPnKU7P29sbQ3///XeKlSQlJf2/Hs2Wbfv27VQkmVwZRa7ZM2Y6GWYU9HJcXV179erVNw1SRdu2batWrUpjaNKgQQM3N7fk5GSKGbNYtpJRduzYgTp3woQJisbjjRs3IiIisPPPmTMHVYkoNCuoYnLnzv3kyRN8bt++PSqyHDlyaGs+f/bZZ1giCrSoX7++i4tLSkoKxUrwLaKuXLduHRWlhyoPQ3/99VeKJZMlo8g1e0ZOR3dGOXbsGPo3YgQVX3/9NY2kydixYzEOn59nVsAmMsru3bs7dep0/fr1evXqff7552/fvp05c2bXrl3RFL1y5UqNGjW6dOlCo5qTkydPKu6MW7t2raibFixYIEqU3b17FxmFAi0+fPiQK1euOnXqUJzepUuXxPTRyqai9PLnz4+hw4YNo1gyWTKKXLNn5HR0Z5RHjx5hS9Po5s2bNJIm0dHRmKaOpxswZilsIqMgkYiuyfDhw7HrBgcHDxgwQAzq0KEDSgoUKCBCiR4/foxa4OjRoxJvT4uNjTXgmAbSXs+ePcVnZMFPPvkEs6oxJSxZsgSdLQq0uHz5Mv69X79+FKeHZcFQ2LZtGxWlV7BgQQw14HC/LBlFrtkzcjoSz8zrC80aTFOxrhmzXNafUWJiYr766ivxuXv37th1q1Wrhga7KKlfv76jo6PG87QaITGgUnZwcEitWLK5urr++OOPGV5hFRoaeuTIEQokQ+Zbs2YNBR8/9ujRQ3yp+vOgsICrV6+mQAtxTdHo0aMpTu+///4TE8cHKkrPx8cHQzVeIqWbLBlFrtkzcjomyihPnz7FNBs2bEgxYxbL+jPK+PHjV61aJT5/9tln2HV3794tQkhJSdH25Ct1SCetW7fGFFq1aoXJonauVasWQqSoBw8e0EiaVKhQ4fr16xRIg5zn7u6u/HhBzDa+C8aOHUtFaYoUKZLha50WLlyI/508eTLF6W3fvl1MXFtVW6hQIQxFl45iyWTJKHLNnpHTMVFGwUaIaZYuXZpixiyW9WcUxbGpe/fuYb91dnZWdFD0tXz5cnRK9u7dS3Eq1E1eXl758+fX9uiqhw8fajsfrsP+/fuRqChIg8yBRcBfilPduHGjXLlyFGg3c+ZM/K/G0zCALhSGgrbLnMQlUiEhIRRLJktGkWv2jJyOiTIKuLm5+fr6UsCYxbKJ8yiC8e8+Klmy5LJlyyhQglwVEBDg6Og4e/ZsKlISHBxswCHywYMHR0ZGUpBGXBQEyhUikoSUh69MnToV/6hx/kFxynrz5s1UlB6yJoZ+//33FEsm75l5I2fPyOmYLqMUKFCgYMGCFDBmsWwoo3zzzTeoCyIiIijWU2xsLKobCtQkJSV9++23mH779u0vXLggCq9fv968eXMnJycD3oRRrFixa9euUZDm7t279vb2+BZkKSr6+LFr164ZnkSBuXPn4h9/++03itN79OgRhsKKFSuoKL1cuXJh6C+//EKxZLJkFLlmz8jpmC6joBfr5+dHAWMWy4YyStGiRVEXaHukVYb279/fokULCrRArZ09e3Z8i4eHh2jt5s6dW8rDnVScOnWqQoUKFKTXpk0bTBZ55erVq6IEbVtUlOKzDitXrsQ/qvd7FDDPGGHKlCkUK3n+/DkGgcansusmS0YBuWbPmOmYKKMkJydjmtqejsOYBbGVjCJOoqAFavDbWC9evKj7ObIC+iX9+vXz9/cvVapU9+7dtd2grtuQIUO09aV27dqVWqfR46euXLmC3owYpJt49ZPKGwaVBQUFYYShQ4dSrERxsEj3a1c0kiujyDV7xkzHRBklPj4e02zbti3FjFksW8ko4iRKgwYNKDZjyHne3t63b9+mWE21atVSq7VsR44cmTdv3jfffEMDdIqNjcW/dO7cmWI1f/31F0Zo2bIlxUpWr16NQbVq1aI4TVJSkvqhORVSMgqmc/bsWQq0kGv2DJiOgokyCpodmObgwYMpZsxi2UpGESdRwsPDKTYz6Nm8fftWfEZPqFmzZuKzRopLYGvXrt2pU6c///yTBmTE19dXR4cGmQwjODk5qT8lV9zHo3JXYGJionj3yciRI6lIk0aNGmEcxS2l6vB14gih7ndPyTV7+k5H2cGDBzECKF/VbTyscUxT+d4jxiyUrWQU1KTYaQ0+iWJSyCV58+YtXLjw5MmT586d6+HhsWfPHhqmRdOmTVNrtmyOjo7S73QRNaa2J4MBfh8HBweVK51OnDiB+rdHjx4Upzlw4ICYB22nfFJSUtD6Fs818ff3v3PnDg1Ib+/evWI6+Grd9wbJNXt6TUcBGWjYsGFimgsWLJDxWXC9e/fGNB8/fkwxYxbLJjJKcnIyKosiRYoYfCeKSYnHOiloPCCj4tq1a1gijKzXbXHi5PyuXbso1iQqKgo9BnQpbt269ezZM/yLt7d3//791c8/IWF07twZv6r6eewRI0ZgIp6envibL42iZP78+TReKqyd+vXrFyxYsGrVqkePHqVSLWSZPZA+HSTgPHnyYGRkfVqSVAhRKPEklm6VUlHAmCWzlT7K8ePHdd/WnoWuXr2KqjY1m/z/CWMZ3v0uoF4OCQnRcbpFHTpD6ABl+PArNMYXLVr03XffoU8zduzYmJgYGmBi4eHh586do0A7uWYvqxZThbgiXMe76BmzILaSUcwcmslr1qwZP368ARdT6QWt8ty5c7969Ypic4IEKeOhJEuB/lzOnDnj4+MpZsyScUaxLeioubi4aHzfVNZKSUnRfT2CVUIGzZs3r7bHdzJmcTij2JwJEyaUK1cu2czeGLhs2bIlS5ZQYDMWLlxYqFAhie9EYMz8cUaxOe/evatYseK0adMoNgPoOTVv3tw8r5swnVu3bnl4ePz7778UM2b5OKPYojt37nz66afm8xraoUOHGvDoM4uGvF6lShX1FxMwZtE4o9io48ePf/7556a+EIBpExYWZsALMRkzc5xRbNfly5eXLl1KActET5484bfKM6vEGYUxxpg8OKMwxhiTB2cUxhhj8uCMwhhjTB6cURhjjMmDMwpjjDF5cEZhjDEmD84ojDHG5MEZhTHGmDw4ozDGGJMHZxTGGGPy4IzCGGNMHpxRGGOMyYMzCmOMMXlwRmGMMSYPzijm7t69e2vWrKHAuhi5aE+ePFm2bBkFjOlp8eLFz549o0BPUrY929w+OaOYtUuXLpUuXfrq1asUWxFZFq1Pnz4//vgjBYxJ9sMPPxj5Dk0p254Nbp+cUcxXbGysj4/P6tWrKbYici3a+/fvq1WrNn36dIrN0ocPH+iTcZKTk+mTbXj58qVcP52K8ePHV6pUKSkpiWKDSNn2LGL7lBdnFDOFfSkwMLBfv34UWxF5F+3u3bv58uXbtWsXxWbj3r17AwYMqFq1avv27evWrRsUFLRz504apg/8V5s2bfz8/BwdHYsXL962bdvo6Ggalt7nn3/eokWLhQsXnjx58uHDh/fv3z9+/PjcuXObNGkyZcoUGslC7Nu3z8nJKX/+/OjLUpFMtmzZ4u7ufuPGDYqNIGXbM9vt00Q4o5ipmTNnFi1a9N27dxRbEdkXbfbs2ahwjWxyyuvIkSOoRwYNGqRoZe/evdvV1XX06NEilGjw4MGNGzc+duwYOigJCQkbNmwoUKBAtmzZOnTokJiYSCOlKViwIAap69y5MxrLNJKF6NOnj5h59CeoSA6vX78uVKjQH3/8QbHRpGx7Zrh9mg5nFHMUHx/v4eExdepUiq2IKRYN1USePHnkqnrOnz9/8eJFCgzy4sULb29v9AwoTrN8+XJUkWvXrqU4IwsWLGjXrp3KwS60eT09PTGdHj16UFEa9Yzi6+u7dOlSGmxR9u7diz4KfkZ5+yhjxozx8vKSsXKXsu3Ju32aOc4o5mjo0KEuLi7Pnz+n2IqYaNHQ9sdkX758SbERvv32WyPP2Q4cOBC1+datWylOg26Zu7s78gGqGCrS7tWrV2hNx8bGUqwkPDxcJIxt27ZRUSpklO3bt6MBHhkZuWLFinPnzpnoPETmkP08ytOnT3PlyjVq1CiKZSJl25Nx+zRznFHMzvv379GMCg0NpdiKmG7RHjx4gBp2/vz5FBvhq6++QlKhQH9v37795JNPMDNICVSkBH0ODEJnhWLt0Ei3s7P7/PPP9+3bR0Vprly58v98ki3b999/T0WpkFGePHlCAVMzffp0BwcHbCoUy0TKtifj9mnmOKOYnQ0bNmDjU2l+WgeTLpqfn19AQAAFRjAyo0RFRWEZkVQoTq9fv34Y2r59e4q1+/333zEmBAcHU1Ea9HWQbDCoTp06VJSKM4pu5cuXr1atGgWykrLtybV9mjlbySjYCR8/fkxBmhcvXqif3sxyPXr0QGURHx9PsSaxsbEqBwSSk5MfPnyYkpJCcUYSEhL279+/ffv2y5cv6/6v8+fPb9269cCBA/i5qEgTtM3FmMePHxfzhlAMUpCyaCqwUBLP4X/zzTeYuPFVqpEZZezYsZiNzz77jOL0xo0bh6G+vr4Ua4dfL0eOHBhZ/fj769evUQ5169alolSZnFGSkpKePn1KQRpsVxKP7aDZvmfPnv/++w+rGOG9e/fU7zfE1DRuddjYlHdn9H3v3r2r+1giRsAvNmDAAIolkHfbk2v7NHM2kVE2bdpUv379hg0b+vv7Y8NFCWq9li1bduvWDQ3AGjVqoFYVY5oDVEZozlCgBikwKCgIc47qY+HChSjBXv3dd99hAXv27IlGK5KEGFMb7KVdunTx8vLCJo7aqlevXrVr1168eDENVrJ8+fLSpUv37dsX7WXsiuXKlUNVq15fxMXFhYSEoCLG/GzevBkjt2rVqnXr1hifxkije9GUYWfu3bt3mTJl8I01a9acN28eUuayZcvOnj1LY6jBImCPRTeIYkMZmVG+/PJLzEblypUpTu+3337DUJCS+7GtarwD9PTp02IiKldgi4yCH+rMmTNLly6dP3/+iRMnaJjc/vrrr0aNGtWqVQubHDYAlOCXR4b74osv0APDBqbj6rL169djc50wYcK6VEOGDBEbJD6LEZo2bZovXz4HBwcs46RJk0QhzJo1y8fHJ1euXCgvUaIESi5evIhvbNeuHX52b2/vxo0ba7ssGBsP/kvK8UYTbXtybZ9mzvozCirQBg0aoK2BTdzR0bFFixZIMNiCFec8Q0NDXV1d0YQRYdZCjYDNDjsJxWq+//57cdQoLCzMzs5u165dWLpz586hZM2aNR4eHtpax8KRI0ewTyKz3rlzh4o+fkRzr1SpUqjsKE5tBXfv3r1kyZK3b9+motR+HvJE0aJFkY+pKPXmEkxN5XLMN2/eoKLBPklxqgwXTSE6OtrT07Nz586KVifSnricFBWHKFGHahQjDBs2jGJDGZlR8BNhNqpWrUpxeopjWcZcmzBy5EgxkcOHD1NRKmQUbA9t27ZFZb1lyxZU+pUqVULdrfH0vjHQvUClj3oWvQrMBtbUtGnTfvjhB2wM6D00adIEhdoeQPLPP/8gGagcG8AuiY1Z8UieK1euoGFUqFAhTEc5oyB1YdtD+wnlmAg2e3y1orNy8+ZNZ2fnAgUKaPxtxfFGTJliLUy37cm1fZo5688os2fPVmzc2bNnt7e3RzpRbiEeOnQIa/rrr7+mWItHjx5Vr169vEHQDVI/PqARanzMDFptFKeHmrpevXri86BBgzCmm5uboh2KL0JJlSpVRKgOe1r+/Pmx192/f5+KUqHTg38sW7YsxWm7n0hUylBlVKhQQXmn/ffffzGm+j68b98+lYyie9EU9u/fnzNnTjR+UWFRUepRPtFi1XHZMVr0GKFDhw4UG8rIjIIaHLOBNU5xegsWLMBQUM7oekFdjJWIKahfPYwquE2bNqjTKU69YKxIkSIov3btGhXJYdy4cVjv+PDixQvMCRpqqILFIHGqDKKiokSJCiS5gQMHUqAEv5vKQ96wFjAd5YwiYFlQLm72VMlMwcHBGLRo0SKKlSAFYpDuI2Mm3fbk2j7NnPVnFDSWRX13+fJlrFF0R1QOZV6/fh3l2Esp1gIbGbZU9LsNgA6vxDMcf//9N2YGeyzF6a1evVoxSNRc4eHhIoR169Yhzdy6dYtiNSJPhISEUJymVatWKEcHX4So+tFgRK9FhCoiIyMxMhpuIpwxYwbC9evXi1ABPxfqDgpS6V40Ad2gYsWKYbSYmBgqSpM3b16Unz59mmI1qCwwgo6EKpGRGQW9E8yG4sdUgU0IQ+HChQtUpCdRz6JfqH6CAZUv2hwUpFm4cCHGb968OcVyCAgIECcY0G7AxPPkyaM4BYKWE3rPS7XfBOPu7o4NQ+UsIIwdO1ZlK+rbty8mrp5RRNUM6jcq4qtRrrEfgA43Mh8Fmph625Nr+zRz1p9RFIdZ5s2bhzXaqVMnESocPnwY5aD7zHPmmDt3LuYE/SqK00N1LE53Y+tHYwpjouckBmUoPj4e/TP8C2p2KkqDjLtq1SrFsZFmzZphNI0NSUDHBUNBdHTQrMPnHDlyjBgx4uDBg8qNO5V2se5FE0S6atSoEcVpRNb38PCgWAvMhsTzNDoYmVHq1q2LWdWWUVAJYihgiahIH6IHgN6k9KsbxBlp0PbsFn2hZlR0j8SdMd99950IpWjQoAH+Bd39P//8U/nsOj6rnKLLMKOcOXOGitIgl6Ac/0ixknz58nl6elKgSSZse7Jsn2bOJs7MC+iYY8tAvUZxGmzZKAf19l3mQ88ac6KjiSeItiGaVBRLoDgcoaOpBWg8Ojk5YTTsYFSUHvZ8MZ0lS5aIEvHDCmiBBgcHz5kzR/225AwXDX1HZ2dnjKPe9pw/fz7K27ZtS7EW3t7eBQsWpEC7hw8foqlYRgs3NzcsBQVq0DxX6eOqEAdetF0nKtIq6J6IRg8ePECdWKFCBeWKWArR+DDFEXzRUV6xYgXFEpw8eVKcWhewOOhYnDp1igYryTCjqO+wIqNovEHV1dW1aNGiFKjJnG1P4vZp0Wwoo2B1YstQ79KK024ZHvXKHDNnzsTMiIu4dPjll18wWs+ePSmWAJ0D/AvcvHmTijQRt2LBjBkzqCi9xMREMYLigBs6TFOmTMmTJ48oF4oXL658Ah8yXDRxfAYwD1SUBh1NlM+aNYtiLVDhSrkwFx0ppENU7hpVq1YNPQwK1Gg74awgrvUqX748xemJHwHEUSPp0H5H5YsOkPopKyElJUW5g6gMPwu+MSgoiGKZKDrK6utLt7Nnz4qz9wroPQ8aNIgGp8kwo6gfOhMZRWOfCZ2MwoULU6Amc7Y9idunRbOVjHLp0iVsFl5eXhQrQd2HQd27d6c4S4kte9q0aRRrYUDbUHG8RfeDkuLi4sRov/76KxWlFx8fL0ZQ6cRg9z58+DDyUKdOnURFgyStfD1Chosm7lbReFgAk8Ig9SsFVDg6Omo7/SOdkUe9RKWG5gvF6Y0ePRpDkX0plgZ1d4MGDTp27KjtgVRXrlzJly8f2r/Hjh2jIiXY7PGlSEgUy8SAjrIy9BTXrFkzdOjQsmXLYjoQERFBw1LJm1GQTrTddgqZs+3Jsn2aOVvJKGhdYrNQv9Di6tWrKIeDBw9SkRbYASpWrFjCIJUrV5Z4lGPLli2YmbFjx1KsiaJtqHLJlm5i/4fdu3dTkRbu7u4YTdvjj9DFEdMRdw9s3LhRvRZDWgoMDMQ4yh2dDBetcePGGKFr164Up0G3EuWKWhitdY0POBFnPpFrKTaUkRll7dq1mA0HBweK0wsJCcFQ9YP1unXu3Pmbb75RubgD9WmXLl3EZ3GOEH7++WdRokwcZWrWrBnFMhEdZfULPXQbOXIkfVLy559/orbFhkdxKnkzSkBAgJ2dHQVqMmHbk2v7NHO2klHQvsPqnDNnDsVpfvrpJ5RL6aAkJyejT4CWvgH++usvmkpGxBbcv39/ijURuUH3fSfqsPuhGYt/1PYM1DNnzogUJW7uVVymrGLp0qUYmjt3bnEeNTw8PCwsTAxSJhKP8i3KGS5a27ZtMQLWCMVpsNZQ3q5dOxGOGzdO40lmcbwOM0+xoYzMKOiWiRNRGs92iKM9GfZBlQ0aNKhPnz4UKEGrWXHJ+44dO1xcXBo2bKh+wl9xGFO9ajaS6ChneBhQBX4cja0r7IOYWkJCAsVyZxRRA2i7oiETtj25tk8zZysZRVSmKlsDdn60PlA5ov9BRVkN/Y8cOXLUrl2bYk1E29CAWm/VqlX4R/SZKE6vUqVKIqOgKvT09ESbUePFb+I8PBrFIkRG8fHx0XiDtJubm3LVmeGi/fjjj5iyyuXFSOTielxFdwcNfI3XUGzfvh2jGf9qKSMzCqCpizlRvz07KSkJ9T76lyrJZtasWfgX9SuX4Ndff9V20V1kZOTEiRPFZ1TEuu+p9Pb2VqlML168iEocPVGJ17WrUHSUUb9TkTT29vaKjUfZ9OnTVY5KyZtR0HvDIG1vvsqEbU+u7dPM2URGEa1j9HmHDh1KRalnMtu3b589e/bNmzdTkXlAnYskR4Em4vpLKc+TUIdFxv+q7DmAjtQPP/xAQdqhG+zSFKfBl6K8adOmFKddPzphwgSK01y4cAE1jsojMXQv2uXLlx0cHFQejNirVy8/Pz98xcaNGxFeu3ZN2133Yk40nkjQi/EZBR0FV1dX9UNbK1euxBxOnjyZ4lSKR6rUqlWLitKg+Y+N1ldNoUKFMH38i7jNUMA6Va+tXr16VbFiRYy5adMmKkrTokWL1K/VfD9ghsRV4wZcC4uMkj9/fvXrC7BlKm5yEkRfWeXkCiiOVKtcbQzoE6NcYz8AuQSDVH58hUzY9uTaPs2cTWQU0XXFJtupUyeRP9DvRlsbe2aGJxUynzgQp+1xEUiEaOdiBMP6VWjWjRkzBnt1t27dxBEStJfHjh2LnUeln4E98NNPP+3SpQvyMUJUAWhKi9dLKI+J/QS9mXr16qENqKgmUN2gIluwYIEIFXQvGmBqWLqTJ0/i8+3btzt06IAchqlhhlGzoF2Mlajt6ueWLVuinlVvt+rL+IwC69evd3JyUs7c6BN4eHhg/lX6BFiP4pZslTuljh49ih8W5Too3/GDH6d169ZopCvqWXRKsF6cnZ3nql0xDz179hQT6dixIxXpA90j/K/G3oBuWJX+/v6BgYGoW8VPga4wuggoVNwmiX4JFgSND3wFdlIMFXfgY0vAZlCnTp3UGf//1Wvjx48XVx6jizNixAj8wihHX2fIkCGKDpyAvgXWiLaUAKbe9uTaPs2cTWQUbBzYzrBfYdsdNGgQmtjYFrEJqrdxzIG4LO3333+nWE3btm3VOxl6wU6I/kfNmjWrV6+OH0fxhD4VaOFOmzatefPmAQEB6F4MHDhQ/cgM9jpxlggf0MTDboMJDh48WOMjDjNcNEB7ELs9VhCqdcUTPLdu3dq4cWPUfdqehI+6ycvLy/hMALJkFDh37hyWokaNGuj8IVuUK1dO/TSecP78+T///FPllO/hw4eR+3VAO0D9cmFs1cWKFatSpQqq3Tx58iDHaLuVUjQRDh06lOGdFhphjeArdDygQRusXOx3+MewsDDsiW3atPn666/R+FBOtMgT6Exg9n777TcsEXrAopeA9h8+owS/JGDjjIyMFK1+JCGYOXMm/gV/8e/q+wjWAvKTSkZXZrptT8bt08zZREYRV08qNhHzhxactT6twUSL9s8//2AVHzhwgGIjyJVRBDSNUacbcD+jMR48eHDz5k00qynWLjExUeVYkxWLjo7GRqLtgWMGk7Ltybh9mjnrzygXLlzAusxvHjcwSrR69WrMs+iAWxkTLVqDBg3kSlSjR4/WffW2NdmzZ49eF55ZujJlyqAbTYFMpGx7Mm6fZs76M4q4V1zlILX5q127trU2HmVfNHHlxaFDhyhmkvXu3dvgpyBbop07d9rb28v46gop255NbZ/Wn1HEleYzZ86k2EKcPXvW2dnZgo7USSf7orVu3Vr93jSWIXTfbeHIvooOHTpk+OoK6aRseza1fVpzRlm0aNHAgQPFhTR169YNDw/fv38/DbMEU6dOVXlVg9WQcdGmT59eokQJc3hutGVJSEho0qSJ9GcYW42nT59+9tlnO3bsoNgIUrY9W9s+rTmj/PHHH6i55s6dO2/ePHHFiMVdDB4SEqL7/nnLJcuiHT16NH/+/FbZkzO1+/fv29TxLmXonBUtWlTj5YjSSdn2bHD7tP6jXhYtJSWlX79+yu/rtRrGLxra1+joXLx4kWLGJDtz5kzt2rUN7jpI2fZsc/vkjGIBFHd+WR9jFg05SeNj+xiTwpgjUVK2PdvcPjmjMMYYkwdnFMYYY/LgjMIYY0wenFEYY4zJgzMKY4wxeXBGYYwxJg/OKIwxxuTBGYUxxpg8OKMwxhiTB2cUxhhj8uCMwhhjTB6cURhjjMmDMwpjjDF5cEZhjDEmD84ozORu3br14MEDChhjpvT8+fMLFy5QkOk4ozDTioqKypUr18aNGyk2jYcPH1rle8lMin80qxQTE+Pu7h4ZGUlx5uKMwkxo165dSCfLly+n2GTWr19fsGBBCjJy8eLFmzdvUmCx0BQ9efLk69evKdafXj+ambOOdSrXUhw+fBj73ahRoyjORJxRmKlgs3ZxcZk0aRLFprRmzZp8+fJRoN2CBQvKly8/dOjQhg0bduzYkUotzb1794KCglq3bj1kyJBixYrt2bOHBuhJ4o9m5qxjncq+FFFRUfb29hERERRnFs4ozCTOnDnj5uYWEhJCsYlJqRy//PJLPz+/R48e4fP79+99fX1nzJghBlmQ48eP44dV5Onff//dx8fn5cuXItSLFWQU61inJloKbCTZsmVbuXIlxZmCMwqT37Nnz1DNoc319u1bKjKxDCvH/v3729nZHThwgOKPH4ODg1E1JycnU2wJrly54unp2aRJE4o/fjx9+jRqjSlTplCsD0vPKNaxTk26FOjuuLi4XL58mWLT44zC5NepU6dcuXKh+qPY9HRXjmvXrkW1GxYWRnGqfv36oRBNfopN5vz58xcvXqTACB8+fKhQoYKzs/O9e/eo6OPHp0+fYimCgoIo1odFZ5QsXKcpKSn4dgqMY+qlSEhIKFCgQLly5d68eUNFJsYZhclsyZIl2B8mTpxIcabQUTnGx8djkKOjo8oVzMOGDcN8zp07l2KT+fbbb3v37k2BESIiIjDDoaGhFKdCLxCFhiUGy80oWbtOkdHxLY8fP6bYUJmzFFu2bMHUMu34M2cUJqcbN27kzp27bNmyaFBTUabQUTkOHjwYe1Tnzp0pTtOjRw+Uh4eHU2wyX331FZIKBYaKi4tDtw8zfOnSJSpKdefOHRQ6ODhQrA/LzShZu05v3bqFb1HuKRom05aiefPmmODu3bspNiXOKExOTZs2xba7b98+ijOLtsrx6dOnzs7OmKVDhw5RUZpmzZqhfOzYsRSbjCwZRbRbGzduTHGao0ePotzOzi4lJYWKJLPQjJLl61SWjJKZS3H8+HFMsFy5cplwhokzCpMNGkHYcNVrvUygrXL8+eefMUt+fn4UK/Hx8cGgOXPmUGwyxmeUxMRE9Pwwt8uWLaOiNIsWLUJ53rx5KdaHhWaULF+nsmSUTF6Kli1bYpozZ86k2GQ4ozDZVK1aFVut8lUrmUZb5Vi8eHHMUv/+/SlO8+TJE5TD6tWrqchkjM8oK1aswKyiI4LZpqI0ffv2xaDSpUtTrA8LzShZvk5lySiZvBTimkA3Nzf0jajINDijMHmsX78em2yDBg0ozlwaK8cTJ06k7pvZtmzZQkVpNm7cKAZlwoWVxmeUFi1aYFYDAgIoVlKxYkUMUj8WL4UlZhRzWKfGZ5QsWYrWrVtjsugbUWwanFGYPMqUKYPtVX0PyRwaK8fw8PDUfTNbw4YNg9IrVaoUyt3d3WlUUzIyo7x//z5HjhyYWx8fH5p7Jfb29hg0ffp0GlsflphRzGGdGp9RsmQpzp49iyl7eXmZ9C4xzihMBnv37sXGWqhQIQPOD8tCY+UoLnFBK36TmgIFCmAQ2v40anofPnyQcUGMzCjHjh3DrMKkSZNo7tOIi4UAbV4aOw3m/927dxRoYYkZxeB1muGvIZ3xGcWwpUhKSjJys2zcuDEm/vvvv1NsApxRmAy6d++OLTVLnkwnaKwc8+TJg7n68ccfKU6jOFS9ZMkSKlKyf//+cuXK/frrrxQbzciMMmvWLMyqo6Oj+kMhxa1wRYsWpTjV5s2bAwMD69WrV7p0aQwaNGhQXFwcDUvPEjOKAesUuWT58uX4R+RmKjKO8RlFr6VA+2bKlCkBAQF169b99NNPy5YtO3PmTMMS5Lx58zDxEiVKUGwCnFGYsZ49e5YzZ05sqTdu3KCiTKdeOb569Sp138yGGpaK0ixbtgzlOXLkePHiBRV9/Lht2zbssWjEicPNet0N8PDhwypVqpTRws3Nzd3dnQI1qClQj9CENPnhhx8wP/7+/hQr8fPzwyDlimnatGl9+/ZNTEwU4YEDB7y8vPDL3L17V5Qoy+SM0qNHD9SGtNjSYHzlm0P1XadoFtSqVatly5bVq1fHULQVaIAEERER2uZWnFRHvUxxevgv3U9H1XcpOnTosGjRIsWFv+hh2NnZ1a5d+/3796JEukePHomvPnz4MBXJzQozyv379/F7SSTL4zFs3OzZs7GNli9fnuKsoF45ioYkYHugojStWrVC+ddff01xqqSkJPGkiv/++w9D9coo2NvRqJyrRbVq1WrWrEmBGvULglWgi4P5Ub/n+dSpUyi3t7e/fv26KEF9gRyj0iNZunQpRmvUqBHFSjI5o+zZswdtZFpsaTC+8qWD+q5TZFZxp+3IkSMxVK+McvbsWW1zO27cOEwtMjKS4vRQ4+t+4ZVeS7Fu3brg4GBsnBSn+uabbzCaYc8VFsl14MCBFMvNCjMKfiz1xkWBAgU++eQTCpQEBgZm8t3d1gfVJbZR7LQUZwX1yvHMmTOYq1y5clGcBrsxamG08rRdS2NARtHNyKNeos+kfhTuu+++Q3mXLl0oTrvcrkaNGhSnQmsXhU5OTurHSTI5oxjP4HVqQEbRwcijXnotxYABAzCyyvExcT0YutQU6wMbEv4X9aGJTnnaylGvP/74o1OnThQw+Tx79kxcbqR+629m0tZHUTnHAGPGjEH5F198QbEac8sooo+CrgbFqV6+fOni4uLg4KDcyY6JifH29h4xYgTFqdC8RSWFKSQkJFBRGovLKAavU7PKKHotBbqwefPm/eeffyhOJTbRzz//nGJ9XLt2Df8Le/fupSJZcUZhRkGthK3T3d09q67yEtQrx9evX2PGSpYsSXEqVK8FCxbE3Ip3UWhkbhll6NChmJ+///6b4lTiSKNK8tAImR5jFi9enGIlFpdRDF6nZpVRDF4KhfHjx2MKvXr1olhPZVIv9B8+fDjFsuKMwoyCuhJbZ9OmTSnOIhorR39/f7TZKUgVGRmJudV96sLcMsrmzZsxP8pXfL548cLLywv1gsrhdY3atWuHf9f49HWLyyhg2Do1q4wChi2F8ObNm8KFCzs7O9++fZuK9DRkyBB8V7Vq1SiWFWcUZpRChQph6zT1jbgZ0lg5oinn4OCgeL/h+fPnc0l4+ba5ZZS3b9+6urqip0Jx6iv/0J69c+cOxdqhZ4NlmTVrFsXpWWJGMWydmltGMWwphN69e3/yyScHDx6kWH9LUt83gRlQXBMoI84ozHB3797Fpgnbt2+noiyisXJEXVy+fPmpU6fi84kTJ4oWLTpmzBgxSAdzyyiwcuVKX1/fhIQEdEq+//77smXLxsTE0DDtdu/enTt37kWLFlGsxhIzimHr1NwyimFLARMnTvT09Dx58iTFBlE8A2bHjh1UJB/OKMxwmzZtEpumlIO/JqWtckTOQ4UeFBTUq1cviTe4mWFGASSGpk2btm3bdvLkyVIOdu3cudPHxyc6OppiTSwxo4AB69TcMgoYsBSRkZEVK1Y0+GCXwuvXr8XFGqZ47D9nFGY4cWF+zpw5Kc46MlaO5plR9IK2Z5UqVVDxUZx656PyTXOChWYUA5hhRtEX9rUOHToov9zXmHyAXhEWAROkWD6cUZjhOnbsiO3SsEepy8ucM8ro0aMz4b1eCtu2bWvRooVK/qhevTp9UsIZxTDPnj0rWLCg4ixIJvj555+VT6RBXFxcq1atKNCfeF1KmTJlKJYPZxQbcv78eXmfEVCyZElsl9qezZeZZKwcUSNjobL8WgPDbNmyxdXVtVevXn3T9O7du23btlWrVqUxlNhORhk+fDjWqYnuwDC1n376qVChQrQ6U2H91qhRQyXH6EX8INmzZ5f9/m7OKDbk22+/VX5KkvGwRWK7HDBgAMVZx/jK8caNG9hFsbuKx4l7eXn17NlzyJAhmf+GY4MdO3bMyckJM69O5fEkgtVnFHQ3Bw8eHBIS4unpiR+hbNmy/fr1GzZsmPrjT8zWzJkzxRpU9+eff9JI+luW+gAxkP0tLJxRbIi8B/TR7xYb5bRp06go6xhfOT5//vzQoUMnT55ET+7SpUsXLlw4derU4cOHM/lwuTEePXq0W4ubN2/SSEqsPqPcuXPnyJEjp0+fRtcc6xRrFuv34MGDr169ojHMHmabVqEa9YcgSIcfQey8SLpUJBPOKDZE3owiHk8EGzdupKKsYzsHcGTEP5rNOnfunNh5pdxTqRdLyiiPHz9GQ5KCNOjASnmq84IFCwx7c2rmQ9tf5SVrKSkpWHYKjCBvRtmyZYvYKI8fP05FWWf79u3FihWjgEnDP5rNEperweTJk6lIJpaRUdatW1e/fv1evXrVrl27VatW4n0S8+bNCwwM7NOnT506dSZOnCjG1ObUqVM6bvUyE+/evWvbtm3Xrl0LFy48ZcoUlHz48GHUqFFNmzbt2bNnhQoVfvnlFzGmYeTNKEjSYqM0kzcCxMfH0ycmGf9otknxaq/BgwdTkUwsIKMgcwwaNEg8izs5Obls2bJNmjRBehAnhG/fvl2+fHn8NMpX31soJIxVq1bhg3gK6Z49e7744gvFIwLv3r3r5ORkzIsN5M0oyHmp22Q2jcfoGWNmKykpSey8PXr0oCKZmHtGOXLkiMr5D/wE+CGKFy8urnuLiIhAaG9vb+ozqI8ePapevTqylwFq1Kjx9OlTmpAWSJa1atUSn8VCubm5qRxQaty4sYODw7Vr1yjWk7wZRcwkyHJEjjGWmRwdHbHz6ngFgGHMPaMEBgaqVKDiBUSK2wUwNDQ0dMuWLSI0HdT46BjNMsjixYszfNj7jh07hgwZIj537twZy6j+Gupu3bqhHJ02ivUkb0YZPXo0ZgYy81YvxpgsPDw8sPO2adOGYpmYdUZ5/vw5sgUFaXx8fPBDHDbZe5KzysyZMxXPE/X29sYyXrp0SYQKTZo0QfmgQYMo1pO8GUU8Exv4JZiMWRxfX1/svM2bN6dYJpZxZl7h3r17+BVcXFysuBa7fPkyllHjZZ1FihTBoGHDhlGs5uHDh1WqVPn/6441cXNzc3d3p0BNQECAuORBIvG+UvSdKZasR48e6q9t1g3ja7w3s1y5clgiJgsTXV7/888/0xcw06hZsyb91vrAboX9t379+hTLxMIyyvLly/EroKlOsTWaN28elrFjx44Up4mNjUU56DjqlZycvGTJkrlaVKtWDRsfBWr0vTJ94MCBYn70fXvjnj17sAj0rdJg/AMHDtD/K9m8efNqJhO5Hnul4ty5c/QFzDQMe5dEiRIlsPM2btyYYplYWEb5NvWNgePHj6fYGqGpiGX87bffKE6zcuXK/9ff2bLduHGDivQk71Ev8Wgg4PMojFmcwoULY+c15nGTGllYRhGHfVTeX5aYmKj8kGcTefjwYcWKFZHYDVC5cmXpB5Ty58+PZVS/yaNLly4oN6ZNIW9GEZc4w4MHD6iIMWYhxLPO1I+FGMmSMgra5vgJcubMKe5NUejWrduFCxcoMJnk5OQVK1b8YZC//vqLppKRmJgYLKOXlxfFaV69euXs7Ozo6Kh+ul46eTOKeDM2yP6wOcaYqeXKlQs7L+oEimVi1hll3LhxefLkUZw2mDx5Mn4CdBREKNy+fbtevXoUWL7ffvsNyxgYGEhxmp9++gnlRt7gKm9GmTVrFmYJzOEpLMxE0Ffu3r37qFGj9D1bxsyc2HnlfRg5mG9GQatcLHNYWBjCt2/fVq5cGQmmZMmSYgR4//59cHDwmTNnKLZ84h1W6I4oPx4DVbaTk1ODBg1UnvelL3kzyqpVq8QK2rVrFxUxCQ4dOuTn59dQsgULFtB/ZoUWLVqItWz+DzEyESTUmjVr0sqQ4Pz58/SfZuzNmzditaKpSkUyMes+SpEiRWrVqhUbG5uYmNilS5e1a9dis8avcPToUQy9detWp06dZH8ac9by8vLCAi5evLht27biNvuNGzcij4aEhBh/rkjejLJ3797UbTLbv//+S0VMgkqphkm2detW+s+s0LNnT7GWZT/gbhGwbTs6Ovbt25dWhgQW8Tiox48fi9Wq48JRw5h1Rrl58yZq0tatW3fr1k3x4qOoqCj0S1q2bNmjRw+LaA5Id/HiRazj/Pnz4/P27dvRPGzWrBlywJEjR8QIRpI3o1y5ckVslCtWrKAilpEtW7Y4ODhY0DPonj9/PmvWLPSr0MShIltStWpVGXcZ83H48GGx88reHLSkM/NWb86cOVjHpnvqvrwZ5eXLl2KjnDFjBhWxjNSsWRNrgQLLkZiY2KtXLwpsxn///Wdvb3/9+nWKrYjiVoSTJ09SkUw4o5iR9u3bYx3L3g9VGD169NixYymQgzhGJ/vJPWu1Z88eOzs7S7w0DnNuDm/qzGR169bt2rUrBdZl3LhxqQlF/se8ckYxI3nz5sU6Nub64EyGXQ4zrHhkMtOtUaNGFno2Ao2GO3fuUGAbxHtzM+G2hCzxbeqt4nny5KFYPpxRzIV4T6cp1rHphIaGYp49PDwoZtodPXoUv9XZs2cpVoLChQsXovu4cuVKbAZUajZQq1rluQTdmjVrpu3UkZmvLynq1auHrVH2h3oBZ5Ssd/Xq1fDw8CpVqmAd58iRY/jw4ZMnT5byquMsN3v2bMwzPHz4kIqYFq1atWrZsiUFae7evYt9u3nz5tgABg4cWKFCBfyY6PNpTDxZIiEhoUmTJrb2qsdTp05hRaifYzD/9SWRePiIwU8x14EzSta7dOnSxIkTZ82aNX/+fNTRSCdTp06lYeZNHBkAK7uGW3aiAyqueldA9YQde8+ePRSnGjVqFMa0t7ePjo6moix1//59WzveBe3atUMfhYI0FrG+pEhKSsIMY7b//PNPKpIPZxRmuHfv3uXMmROb5vTp06mIadK5c+eGDRtSkAZN3Q0bNlCgpHHjxvhJvb299Xq5AJNLTEyMnZ2d+rOurWZ9KRqCpuhacUZhRqlfvz42zZ49e1LM1Fy9ehU1lErb9tq1a66uruvWrVN/08+2bdvEDo/eKhWxTNStW7e6detSkMaa1teUKVMwt+oPD5QFZxRmlJ9//hlbZ7ly5Shmanr06KH+oLa//vortRbKNnToUCpKExcXJwaZ7s4kps2NGzc0HsKypvUl7lJA4qRYVpxRmFH2798vdiervBHMeHfu3HF0dFR/koqihgoODqYiJeIwt7+/P8Uss/Tq1atatWoUKLGm9ZUvXz7Mrb5v2JOIMwozSkpKingrPh+i0ahv376VK1emQElSUlK/fv26dOmifsOjePU12OajtLLQ/fv3s2fPvmnTJoqVWM36ElexQ2xsLBXJijMKM1b//v2xgRr2smvr9ujRoxw5cqxfv55iadauXSv2+SlTplARyxRhYWHly5enQDLLWl+jR4/GrFatWpViuXFGYcY6cOAAtlE7OztUoFRk7Z49ezZu3Ljk5GSKtRg8eHDZsmUpkKxJkyb4PX19fTPhzaQ2YvPmzTt27KBAi7i4uFy5cq1evZpiySxrfVWqVAlzO3/+fIrlxhmFycDHxwebqemeSGZWjh8/Lm4Q0/1qzvj4eBcXl5UrV1IsTXR0NKZsb28fFRVFRcwI79+/HzhwIH7SUqVKUZEWI0aMKFmypL4vFrOs9XXp0iXMrbOz88uXL6lIbpxRmAzGjx+PLRWNNYqt15w5c9q1aydultZ4gkThp59+KlasWIb9GGUJCQkFCxbElG329VbyunfvHrZJcVQWNJ4gEdDpdHV1XbJkCcXSWNz6GjJkCObWpM/U4YzCZIAdEu1xR0dH7MNUZI0eP348a9YsfFBc+bN7924xSAXagO7u7gsXLqRYmg4dOmCa4iuY8VDRi0sQ0UHBD1unTh1Rru6XX3759NNP1e810c2y1heWTlzlJdf7ljTijMLkERYWho01NDSUYquGnoc48BUUFERF6UVGRvr4+Oj1cLbZs2c7ODgsXryYYiafP/74AysLjh8/TkVKEhMT8+TJo+8xW4tbX+IKAlM/KZwzCpPH7du3sYNlz57dRh4DNX36dFFJxcTEUFGaN2/eeHl5ocahWIJ169blzp2bz52YSFJSUv78+bGyOnXqREVKJk+eXLBgwXfv3lEsgSWuL3FO/uDBgxSbBmcUJhtxwPq7776j2KqhYevu7o7lVT8qPWPGDNRfb9++pTgje/fu9fb2Vj8WsX37dvrEjBYREYGVZW9vr/JKZiQb/Ph6vU/MEtfXpk2bsPitWrWi2GQ4ozDZPHv2zNPT09HR0YLeo26MESNGYC91cnJSfhEemrqFChWaNGkSxRk5f/68n5/f6dOnKU4TFxen7ZAaM0BCQoKzszPWV1hYGBWlmjNnTt68eV+/fk1xRix0fQUEBNjZ2WXCC8Q4ozA5zZ8/HzttSEgIxVbt0aNHSCdY3pEjR1JR6i+QJ08e9GAo1unu3buVK1fWuJ9HRUUNHjyYAiaHAQMGYGW5uLig6SNKPnz44OvrGxkZKcIMWej6Em+Vz5zHuXJGYXJKSUmpUqWKg4PD1atXqciqffPNN9hXPTw8RCM3OTn5s88+++WXX8RQ3dBqLl269PDhwxent2DBgqlTp/r7++t7qRjTDV1n8QAuRQrBr+3u7v7ixQsR6mah6wvpM1++fOhXvXr1iopMiTMKk5l47ndgYKC+N4tZopiYGNRQIC4hXb58OZZd0QTW4e3btzVr1hT/q82hQ4dobCaTTp064YctUKDAu3fvsH2WKFHip59+omE6We766t27N1p4Km97Mx3OKEx+q1atwg5mI8+ObNGiBRa2aNGiHz58KFOmzIgRI2iATvPmzUuthXSRkpmYXk6cOCF+W/Qt/v77bxcXF4kvPLbQ9SVOyIeHh1NsepxRmEmEhoZmz57dFlrZe/bsERVK165dc+XKFRcXRwOYWapbty5WVtmyZT///PMhQ4ZQqTW6c+eOh4dH/fr19Xpwg5E4ozCTSEpKqlWrlre394MHD6jIegUEBIikMmjQICpi5ioqKkqsrBw5cihfpGdlEhMT/f39sWWa7hFeGnFGYaby/PnzihUroiWID1RkpcRRPicnJ1tIn1agTJkyWF/9+vWj2OqgU9KiRYty5colJCRQUWbhjMJMCBs0WkmBgYESr6a1UNiBixcv3r9/f4qZeVu2bFmuXLms9Rl0KSkp3bt3xwaZJT0wzijMtNDpxvZtoleQmg/pt8gxc2DFTZyDBw+2atUqq/IlZxTGGGPy4IzCGGNMHpxRGGOMyYMzCmOMMXlwRmGMMSYPziiMMcbkwRmFMcaYPDijMMYYkwdnFMYYY/LgjMIYY0wenFEYY4zJgzMKY4wxeXBGYYwxJg/OKIwxxuTBGYUxxpg8OKMwxhiTB2cUxhhjcvj48X9XpLZ/mK7HNgAAAABJRU5ErkJggg==)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pVdovSKMtF7a"
      },
      "source": [
        "Our parameters are $\\theta_1, \\theta_2$; The simulator consists of some noise coming from the Uniform and Normal distribution - that creates a point in 2d space; As a result, $p$ is a single moon-shaped distribution; and then we simply add the parameters - meaning we translate it.\n",
        "\n",
        "Due to the absolute value, the posterior will have two moons. "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ttuljF7jsMd6"
      },
      "outputs": [],
      "source": [
        "# hyperparams\n",
        "dim = 2\n",
        "a_l = -np.pi/2\n",
        "a_u = np.pi/2\n",
        "r_mu = 0.1\n",
        "r_sig = 0.01"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "iyPkGBnGuBaV"
      },
      "outputs": [],
      "source": [
        "# define prior\n",
        "prior = utils.BoxUniform(low=-1*torch.ones(dim), high=1*torch.ones(dim)) "
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "JUO46hOeuKEU"
      },
      "outputs": [],
      "source": [
        "# define the simulator (creates a shifted crescent shape)\n",
        "def simulator(theta):\n",
        "    n = theta.shape[0] \n",
        "    a = D.Uniform(torch.tensor(a_l), torch.tensor(a_u)).sample((n,))\n",
        "    r = D.Normal(torch.tensor(r_mu), torch.tensor(r_sig)).sample((n,))\n",
        "    px = r*torch.cos(a)+0.25\n",
        "    py = r*torch.sin(a)\n",
        "    x = px - torch.abs(torch.sum(theta, dim=1))/np.sqrt(2)\n",
        "    x = x.unsqueeze(1)\n",
        "    y = py + (theta[:,1]-theta[:,0])/np.sqrt(2)\n",
        "    y = y.unsqueeze(1)\n",
        "    return torch.cat((x,y), 1)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "xs = simulator(torch.zeros(1000,2))\n",
        "plt.scatter(xs[:,0],xs[:,1], s=1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "qYG5WuQvTGLn",
        "outputId": "49120933-1d20-4387-e2b1-632f5018933b"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7fd5ee0c5b10>"
            ]
          },
          "metadata": {},
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9FwT1VLeu3a4"
      },
      "source": [
        "Since the simulator relates in a very simple way to the parameters, we could simply invert the equation to get the parameters as a function of the observed $x$: i.e., suppose we have that $x_{obs}=(0,0)$, then we could generate/sample different $p$'s then invert the equation:\n",
        "$$ x^T = p + (-\\frac{|\\theta_1+\\theta_2|}{\\sqrt{2}},\\frac{-\\theta_1+\\theta_2}{\\sqrt{2}})\n",
        "$$ \n",
        "To get samples from the posterior.\n",
        "Because of the absolute value, we get 2 different solutions, we can simply choose one of them randomly. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wVbS4utOwGq2"
      },
      "source": [
        "$$p_0 - \\frac{|\\theta_0 + \\theta_1|}{\\sqrt2}=x_0$$\n",
        "$$p_1 + \\frac{-\\theta_0 + \\theta_1}{\\sqrt2}=x_1$$\n",
        "\n",
        "Moving sides and defining the rhs as q's:\n",
        "$$\\frac{|\\theta_0 + \\theta_1|}{\\sqrt2}=p_0-x_0:=q_0$$\n",
        "$$\\frac{-\\theta_0 + \\theta_1}{\\sqrt2}=x_1-p_1:=q_1$$\n",
        "$$\\frac{\\theta_0 + \\theta_1}{\\sqrt2}= \\pm q_0$$\n",
        "\n",
        "subtracting/adding to cancel the variables we get:\n",
        "$$\\sqrt2 \\theta_1=\\pm q_0 + q_1$$\n",
        "$$\\sqrt2\\theta_0=\\pm q_0 - q_1$$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "0KjDDdi-uaiD"
      },
      "outputs": [],
      "source": [
        "def gen_posterior_samples(obs=torch.tensor([0.0, 0.0]), prior=None, n_samples=1):\n",
        "    c = 1/np.sqrt(2)\n",
        "    theta = torch.zeros((n_samples, 2))\n",
        "    for i in range(n_samples):\n",
        "        p = simulator(torch.zeros(1,2))\n",
        "        q = torch.zeros(2)\n",
        "        q[0] = p[0,0] - obs[0]\n",
        "        q[1] = obs[1] - p[0,1]\n",
        "\n",
        "        if np.random.rand() < 0.5:\n",
        "            q[0] = -q[0]\n",
        "\n",
        "        theta[i, 0] = c * ( q[0] - q[1] )\n",
        "        theta[i, 1] = c * ( q[0] + q[1] )\n",
        "\n",
        "    return theta"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "0StNVnp7wndo"
      },
      "outputs": [],
      "source": [
        "true_sample = gen_posterior_samples(n_samples=2000)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "teUpxdZgwpQk",
        "outputId": "9709fb68-a7b7-4671-d8da-7456fd0953fd"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f5a80bbee50>"
            ]
          },
          "execution_count": 11,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.scatter(true_sample[:,0],true_sample[:,1], s=1)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 337
        },
        "id": "K7thkk4cwqHr",
        "outputId": "8026adc5-4cce-4b5c-8d43-3b2111759dbb"
      },
      "outputs": [
        {
          "name": "stderr",
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variable as a keyword arg: y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f5a80601f50>"
            ]
          },
          "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": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "sns.kdeplot(true_sample[:,0].numpy(),true_sample[:,1].numpy())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 513
        },
        "id": "FeVsneRAw23g",
        "outputId": "95d4729f-c74f-4153-b710-c7b925afc060"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 576x576 with 4 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = analysis.pairplot(true_sample,\n",
        "                           figsize=(8,8),\n",
        "                           points=true_sample[0,:],\n",
        "                           points_offdiag={'markersize': 6},\n",
        "                           points_colors='r');"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "hj0cS4__w21B"
      },
      "outputs": [],
      "source": [
        "def show_fig(true_sample, post_sample, algo):\n",
        "  fig, axes = plt.subplots(dim, dim, figsize=(10,10))\n",
        "  fig.suptitle(f'SBI - 2 Moons - {algo}')\n",
        "  # upper diagonal\n",
        "  for i in range(dim):\n",
        "    for j in range(i+1, dim):\n",
        "      axes[i,j].scatter(true_sample[:,j],true_sample[:,i], s=1)\n",
        "      axes[i,j].scatter(post_sample[:,j],post_sample[:,i], s=1)\n",
        "      axes[i,j].set_axis_off()\n",
        "  # lower diagonal\n",
        "  for j in range(dim):\n",
        "    for i in range(j+1, dim):\n",
        "      axes[i,j].set_axis_off()\n",
        "  # diagonal\n",
        "  for i in range(dim):\n",
        "    sns.kdeplot(true_sample[:,i].numpy(), ax=axes[i,i], label=f\"True\")\n",
        "    sns.kdeplot(post_sample[:,i].numpy(), ax=axes[i,i], label=f\"Reg\")\n",
        "    axes[i,i].get_yaxis().set_visible(False)\n",
        "    axes[i,i].spines['left'].set_visible(False)\n",
        "    axes[i,i].spines['right'].set_visible(False)\n",
        "    axes[i,i].spines['top'].set_visible(False)\n",
        "  plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 663
        },
        "id": "AfcAEFDpw2yN",
        "outputId": "5ef64431-e47b-441d-b365-f5ac17c78d85"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x720 with 4 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "show_fig(true_sample, true_sample, \"SNPE\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dwv04fqaw2uN"
      },
      "source": [
        "# SBI"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "isDTGLSFyfE0"
      },
      "outputs": [],
      "source": [
        "n = 2000"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "j3vk-KbKyUxP"
      },
      "source": [
        "## NPE"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "lNajRM7fyUSp"
      },
      "outputs": [],
      "source": [
        "theta = prior.sample((n,))\n",
        "x_sim = simulator(theta)\n",
        "inference = SNPE(prior, density_estimator=\"nsf\") # or mdn, or maf"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yuzpkX_UyppS",
        "outputId": "87d4649c-4367-451d-f942-24ba33e125bf"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            " Neural network successfully converged after 106 epochs."
          ]
        }
      ],
      "source": [
        "density_estimator = inference.append_simulations(theta, x_sim).train()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 49,
          "referenced_widgets": [
            "e402008c9e1e4ed3b8ff193034dd179e",
            "2ecacfa163e048d5acfad191e2068a78",
            "f18ef8401ef14455aebfd27efe1d1a76",
            "5e5d5fd45f364f6b892080fc28c8cf72",
            "d632b90caf2548d1a9369625de9ea9eb",
            "a6af39564ea747f980448d453203a0b2",
            "9dfef4dae2474989b9fc1c61d05bb9bb",
            "3d321a9c89134c4eb4bd52f69ac1d170",
            "09a1e06d6b244bd1be914130d1aeef6e",
            "18f3024941064dc1a1ab203343be3ebf",
            "7ed515a5f95446539fe6f84dcf121753"
          ]
        },
        "id": "QjHindY8w2mB",
        "outputId": "e3293e2a-f266-451f-ece8-696f74e3e5ef"
      },
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "e402008c9e1e4ed3b8ff193034dd179e",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "Drawing 1000 posterior samples:   0%|          | 0/1000 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "posterior = inference.build_posterior(density_estimator)\n",
        "x_obs = torch.tensor([0,0])\n",
        "sample_post = posterior.sample((1000,), x=x_obs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 663
        },
        "id": "NixNr_5QzDCW",
        "outputId": "407c3e46-9f9c-4c2a-bc64-9ab3b4827385"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x720 with 4 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "show_fig(true_sample, sample_post, \"NPE-NSF\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fYqWivou1jDG"
      },
      "source": [
        "## SNPE"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101,
          "referenced_widgets": [
            "abb7343ed6aa4fb6b5768212875d238b",
            "6b4e97de58654c329761ec54b2b863ad",
            "ac306fafc74f4eef9ebed902e5b09b8b",
            "6587bf3711e742fd87a45fe807a3172e",
            "d5e355c853af4537a7761bc16906b695",
            "086961caf4744b10b6f36cd6586cdb4d",
            "b18a50f10d6b4a1896b719e56adbc86d",
            "2ce3b5242d6545f49303c3bc6d7ba35a",
            "a1d79f805f2d497882ae289dbe02a135",
            "17bdbd598b0449cfb20e3f33a2bef252",
            "8d59f0406c8246ffa44f82883ba64667"
          ]
        },
        "id": "AtTnuULk1jDH",
        "outputId": "f59b09e7-511f-4c99-e2d5-d07a09a5c214"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            " Neural network successfully converged after 154 epochs."
          ]
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "abb7343ed6aa4fb6b5768212875d238b",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "Drawing 2000 posterior samples:   0%|          | 0/2000 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Using SNPE-C with atomic loss\n",
            " Neural network successfully converged after 23 epochs."
          ]
        }
      ],
      "source": [
        "num_runs = 2\n",
        "ni = n//num_runs\n",
        "\n",
        "proposal = prior\n",
        "inference = SNPE(prior, density_estimator=\"nsf\")\n",
        "for _ in range(num_runs):    \n",
        "  theta = proposal.sample((n,))\n",
        "  x_sim = simulator(theta)\n",
        "  density_estimator = inference.append_simulations(theta, x_sim, proposal).train()\n",
        "  posterior = inference.build_posterior(density_estimator)\n",
        "  proposal = posterior.set_default_x(x_obs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 49,
          "referenced_widgets": [
            "66a471423ef04d34ba3f159e26b8aa57",
            "b2af51acdcfc49a2b1f9afaa4bd6c7af",
            "f6ed36222a4048b5b06816a7f247cbb0",
            "6d0bd921bb4b4332b89e24cd5c991693",
            "5aa038048996454bb3a79553c179e4f1",
            "cd0249db29b44cb39d9725fd02efb482",
            "6f9de46acdf447a28f5be48ad9219935",
            "fae4527ef55f4d02881186621abe7d02",
            "9c8184df95bc46dcb693c902a5101def",
            "4cbbf488009645f7b14ee73c61efe9b2",
            "40ead4b5b86447e5bbf4ad9c908413d4"
          ]
        },
        "id": "uKFCwz5m1jDH",
        "outputId": "e4eb079d-9ac8-4bcf-a4b1-4952967b6802"
      },
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "66a471423ef04d34ba3f159e26b8aa57",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "Drawing 1000 posterior samples:   0%|          | 0/1000 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "x_obs = torch.tensor([0,0])\n",
        "sample_post = posterior.sample((1000,), x=x_obs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 663
        },
        "id": "tobkppgU1jDI",
        "outputId": "569bc340-6949-4c46-e0d2-c7b1250574e7"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 720x720 with 4 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "show_fig(true_sample, sample_post, \"SNPE-NSF\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6A9XWkHw34IK"
      },
      "source": [
        "## NRE"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "3s2drHun38zH"
      },
      "outputs": [],
      "source": [
        "theta = prior.sample((n,))\n",
        "x_sim = simulator(theta)\n",
        "inference = SNRE(prior)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "43TlVBUo38zH",
        "outputId": "b2d37543-977f-4534-d1d8-9416e1abd357"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            " Neural network successfully converged after 102 epochs."
          ]
        }
      ],
      "source": [
        "density_estimator = inference.append_simulations(theta, x_sim).train()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 113,
          "referenced_widgets": [
            "65f88ca52ab845c1b6888f0de1694108",
            "bd9e46ad83ef4a119964160b872938a1",
            "87ee6875d0304aaf863a0e67d5fd452a",
            "aeff8699a2de472d8ffa0a368881705d",
            "3e1af28fa5db48d3823306a4302962ce",
            "02614c5fa384410dad7a7e89209e2993",
            "56bd668341434edb97650027e5bab1c3",
            "d63f9744c404492995fd8d2e04c240f2",
            "722ecf4d41f846d79355d5a4822a9bdd",
            "410e054ab57742a9b9d3361d80fd4369",
            "24bc32cf2250491da18c2556e9fa5cc3",
            "16888a935a5f4c5a8330aa268dfbca36",
            "59dd256933804510b01d7f5c09fdb597",
            "c42aa824673f4de7ac72789a6a37a874",
            "361c69cba34f4a309b1c249de0a1effc",
            "9819b81f0a6a4af084d794f71a35b30b",
            "0a013154c4534b398d619fd662eebac7",
            "354a6fc8153f4cbf993689b8f120ee66",
            "2ea0a94ee7fa4a8fba3442ab6486d74d",
            "6679228a70b44a01863e3638cf409522",
            "acae0970d1f04c8a9b53fd2879680586",
            "85a27e59832c486c93c5d59eea3317ef",
            "a917a53b76cf49468b7d6071226b1ec6",
            "cfdbae7daa154140ade59161e6ca12b0",
            "1dbdcfb39067421996ff2fbb72594721",
            "f59620d5d2d849a38d99e4416d5f0d68",
            "145108525f554dfc9f22acbbc0a5460f",
            "94a0a153e27c4177a3abae473c55d863",
            "c41a148064594be39b949b647e1ec8f4",
            "4f1f3298a71e4294a323627ccf6bd8e4",
            "3ad9020a93504dde8e2e5af7c126d3ab",
            "f0a21e4a17a840cf950ce4797ed50243",
            "089cf055624646ada738bc8dfce9a7cf"
          ]
        },
        "id": "SVJizYeg38zI",
        "outputId": "e5b49069-2dc8-4701-c292-93b055689ff8"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/50 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "65f88ca52ab845c1b6888f0de1694108"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/10 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "16888a935a5f4c5a8330aa268dfbca36"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "  0%|          | 0/2000 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a917a53b76cf49468b7d6071226b1ec6"
            }
          },
          "metadata": {}
        }
      ],
      "source": [
        "posterior = inference.build_posterior(density_estimator)\n",
        "x_obs = torch.tensor([0,0])\n",
        "sample_post = posterior.sample((2000,), x=x_obs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 663
        },
        "id": "wVVusOb338zI",
        "outputId": "df37eba9-7de4-480d-a502-4c2f1bed3306"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 720x720 with 4 Axes>"
            ],
            "image/png": 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