{
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    "jupyter": {
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    }
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)\n",
    "\n",
    "# MNIST dataset\n",
    "\n",
    "This notebook gives an example of Active Anomaly Detection with `coniferest` and [MNIST](https://en.wikipedia.org/wiki/MNIST_database) dataset.\n",
    "\n",
    "Developers of `conferest`:\n",
    "- [Matwey Kornilov (MSU)](https://matwey.name)\n",
    "- [Vladimir Korolev](https://www.linkedin.com/in/vladimir-korolev-a4195b86/)\n",
    "- [Konstantin Malanchev (LINCC Frameworks / CMU)](https://homb.it), notebook author"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d253b06-f0eb-422a-9361-4f612740b648",
   "metadata": {},
   "source": [
    "**[Run this NB in Google Colab](https://colab.research.google.com/github/snad-space/coniferest/blob/master/docs/notebooks/mnist.ipynb)**"
   ]
  },
  {
   "cell_type": "code",
   "id": "667d45495a1937d4",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:05.315838Z",
     "start_time": "2025-10-17T17:48:05.313045Z"
    }
   },
   "source": [
    "## Install and import the required libraries"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "cell_type": "code",
   "id": "d83297862828bda3",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:06.719397Z",
     "start_time": "2025-10-17T17:48:05.319479Z"
    }
   },
   "source": [
    "# Install packages\n",
    "%pip install coniferest\n",
    "%pip install datasets"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: coniferest in /Users/hombit/projects/supernovaAD/coniferest (0.0.11)\r\n",
      "Requirement already satisfied: click in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (8.2.1)\r\n",
      "Requirement already satisfied: joblib in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (1.5.1)\r\n",
      "Requirement already satisfied: numpy in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (2.3.1)\r\n",
      "Requirement already satisfied: scikit-learn<2,>=1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (1.7.0)\r\n",
      "Requirement already satisfied: matplotlib in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (3.10.3)\r\n",
      "Requirement already satisfied: onnxconverter-common in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from coniferest) (1.14.0)\r\n",
      "Requirement already satisfied: scipy>=1.8.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from scikit-learn<2,>=1->coniferest) (1.16.0)\r\n",
      "Requirement already satisfied: threadpoolctl>=3.1.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from scikit-learn<2,>=1->coniferest) (3.6.0)\r\n",
      "Requirement already satisfied: contourpy>=1.0.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (1.3.2)\r\n",
      "Requirement already satisfied: cycler>=0.10 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (0.12.1)\r\n",
      "Requirement already satisfied: fonttools>=4.22.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (4.58.4)\r\n",
      "Requirement already satisfied: kiwisolver>=1.3.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (1.4.8)\r\n",
      "Requirement already satisfied: packaging>=20.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (25.0)\r\n",
      "Requirement already satisfied: pillow>=8 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (11.2.1)\r\n",
      "Requirement already satisfied: pyparsing>=2.3.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (3.2.3)\r\n",
      "Requirement already satisfied: python-dateutil>=2.7 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from matplotlib->coniferest) (2.9.0.post0)\r\n",
      "Requirement already satisfied: six>=1.5 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from python-dateutil>=2.7->matplotlib->coniferest) (1.17.0)\r\n",
      "Requirement already satisfied: onnx in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from onnxconverter-common->coniferest) (1.17.0)\r\n",
      "Requirement already satisfied: protobuf==3.20.2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from onnxconverter-common->coniferest) (3.20.2)\r\n",
      "Note: you may need to restart the kernel to use updated packages.\n",
      "Requirement already satisfied: datasets in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (3.6.0)\r\n",
      "Requirement already satisfied: filelock in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (3.18.0)\r\n",
      "Requirement already satisfied: numpy>=1.17 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (2.3.1)\r\n",
      "Requirement already satisfied: pyarrow>=15.0.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (20.0.0)\r\n",
      "Requirement already satisfied: dill<0.3.9,>=0.3.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (0.3.8)\r\n",
      "Requirement already satisfied: pandas in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (2.3.0)\r\n",
      "Requirement already satisfied: requests>=2.32.2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (2.32.4)\r\n",
      "Requirement already satisfied: tqdm>=4.66.3 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (4.67.1)\r\n",
      "Requirement already satisfied: xxhash in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (3.5.0)\r\n",
      "Requirement already satisfied: multiprocess<0.70.17 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (0.70.16)\r\n",
      "Requirement already satisfied: fsspec<=2025.3.0,>=2023.1.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (2025.3.0)\r\n",
      "Requirement already satisfied: huggingface-hub>=0.24.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (0.33.0)\r\n",
      "Requirement already satisfied: packaging in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (25.0)\r\n",
      "Requirement already satisfied: pyyaml>=5.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from datasets) (6.0.2)\r\n",
      "Requirement already satisfied: aiohttp!=4.0.0a0,!=4.0.0a1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (3.12.13)\r\n",
      "Requirement already satisfied: aiohappyeyeballs>=2.5.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (2.6.1)\r\n",
      "Requirement already satisfied: aiosignal>=1.1.2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (1.3.2)\r\n",
      "Requirement already satisfied: attrs>=17.3.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (25.3.0)\r\n",
      "Requirement already satisfied: frozenlist>=1.1.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (1.7.0)\r\n",
      "Requirement already satisfied: multidict<7.0,>=4.5 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (6.4.4)\r\n",
      "Requirement already satisfied: propcache>=0.2.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (0.3.2)\r\n",
      "Requirement already satisfied: yarl<2.0,>=1.17.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (1.20.1)\r\n",
      "Requirement already satisfied: idna>=2.0 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from yarl<2.0,>=1.17.0->aiohttp!=4.0.0a0,!=4.0.0a1->fsspec[http]<=2025.3.0,>=2023.1.0->datasets) (3.10)\r\n",
      "Requirement already satisfied: typing-extensions>=3.7.4.3 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from huggingface-hub>=0.24.0->datasets) (4.14.0)\r\n",
      "Requirement already satisfied: hf-xet<2.0.0,>=1.1.2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from huggingface-hub>=0.24.0->datasets) (1.1.4)\r\n",
      "Requirement already satisfied: charset_normalizer<4,>=2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from requests>=2.32.2->datasets) (3.4.2)\r\n",
      "Requirement already satisfied: urllib3<3,>=1.21.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from requests>=2.32.2->datasets) (2.4.0)\r\n",
      "Requirement already satisfied: certifi>=2017.4.17 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from requests>=2.32.2->datasets) (2025.6.15)\r\n",
      "Requirement already satisfied: python-dateutil>=2.8.2 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from pandas->datasets) (2.9.0.post0)\r\n",
      "Requirement already satisfied: pytz>=2020.1 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from pandas->datasets) (2025.2)\r\n",
      "Requirement already satisfied: tzdata>=2022.7 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from pandas->datasets) (2025.2)\r\n",
      "Requirement already satisfied: six>=1.5 in /Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages (from python-dateutil>=2.8.2->pandas->datasets) (1.17.0)\r\n",
      "Note: you may need to restart the kernel to use updated packages.\n"
     ]
    }
   ],
   "execution_count": 2
  },
  {
   "cell_type": "code",
   "id": "424af44173f02c22",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:08.502342Z",
     "start_time": "2025-10-17T17:48:06.762498Z"
    }
   },
   "source": [
    "import datasets\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from coniferest.isoforest import IsolationForest\n",
    "from coniferest.pineforest import PineForest\n",
    "from coniferest.session import Session\n",
    "from coniferest.session.callback import TerminateAfter, prompt_decision_callback, Label"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/hombit/.virtualenvs/coniferest/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n",
      "  from .autonotebook import tqdm as notebook_tqdm\n"
     ]
    }
   ],
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "id": "a2dd4922808bfdf2",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "## Download and load the MNIST dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f63177054a31722",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Download data from Hugging Faces with `datasets` library"
   ]
  },
  {
   "cell_type": "code",
   "id": "b54d353b5b1e296e",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:12.637887Z",
     "start_time": "2025-10-17T17:48:08.511713Z"
    }
   },
   "source": [
    "mnist = datasets.load_dataset(\"mnist\")"
   ],
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Generating train split: 100%|██████████| 60000/60000 [00:00<00:00, 953196.75 examples/s]\n",
      "Generating test split: 100%|██████████| 10000/10000 [00:00<00:00, 885902.21 examples/s]\n"
     ]
    }
   ],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "id": "d64f3cb6c02e79ec",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Load the data into numpy arrays"
   ]
  },
  {
   "cell_type": "code",
   "id": "b663431e29a7a250",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:14.779042Z",
     "start_time": "2025-10-17T17:48:12.649263Z"
    }
   },
   "source": [
    "images_train = np.asarray(mnist['train']['image'])\n",
    "images_test = np.asarray(mnist['test']['image'])\n",
    "digits_train = np.asarray(mnist['train']['label'])\n",
    "digits_test = np.asarray(mnist['test']['label'])\n",
    "\n",
    "images = np.concatenate([images_train, images_test])\n",
    "digits = np.concatenate([digits_train, digits_test])"
   ],
   "outputs": [],
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "id": "4456d1bd107b2666",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Plot some examples"
   ]
  },
  {
   "cell_type": "code",
   "id": "e9118c00dff72504",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:14.948935Z",
     "start_time": "2025-10-17T17:48:14.783704Z"
    }
   },
   "source": [
    "fig, ax = plt.subplots(2, 5, figsize=(10, 5))\n",
    "for i in range(10):\n",
    "    ax[i // 5, i % 5].imshow(images[digits == i][0], cmap='gray')\n",
    "    ax[i // 5, i % 5].set_title(f'Digit {i}')\n",
    "    ax[i // 5, i % 5].axis('off')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x500 with 10 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "id": "2b61fc3ddf5accad",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "## Preprocess the data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae46720ef1c05ef9",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Select the data to use:\n",
    "- `image` : the original images\n",
    "- `fft` : the power spectrum of the images\n",
    "- `both` : the original images and the power spectrum together"
   ]
  },
  {
   "cell_type": "code",
   "id": "aa5f1619f4c31db6",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:14.954793Z",
     "start_time": "2025-10-17T17:48:14.953099Z"
    }
   },
   "source": [
    "DATA = 'both'  # 'image', 'fft', 'both'"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "id": "4191ed76648104f4",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Make 2-d FFT of the images"
   ]
  },
  {
   "cell_type": "code",
   "id": "1f5a8d5f85d1471f",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:16.021197Z",
     "start_time": "2025-10-17T17:48:14.965788Z"
    }
   },
   "source": [
    "# Make 2-d FFT of the images\n",
    "data_fft = np.fft.fft2(images)\n",
    "# Get power spectrum\n",
    "power_spectrum = np.square(np.abs(data_fft))\n",
    "# Normalize the power spectrum by zero frequency\n",
    "power_spectrum = power_spectrum / power_spectrum[:, 0, 0][:, None, None]"
   ],
   "outputs": [],
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "id": "85c46dc73efbf661",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Plot some examples of power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "id": "c4247275995f49b4",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:16.226733Z",
     "start_time": "2025-10-17T17:48:16.036445Z"
    }
   },
   "source": [
    "fig, ax = plt.subplots(2, 5, figsize=(10, 5))\n",
    "for i in range(10):\n",
    "    ax[i // 5, i % 5].imshow(np.log(power_spectrum[digits == i][0]), cmap='gray')\n",
    "    ax[i // 5, i % 5].set_title(f'Digit {i}')\n",
    "    ax[i // 5, i % 5].axis('off')"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x500 with 10 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "id": "d609b5f5c58c34a2",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Concatenate images and power spectrum"
   ]
  },
  {
   "cell_type": "code",
   "id": "c69336311bdfd4ac",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:16.309968Z",
     "start_time": "2025-10-17T17:48:16.231021Z"
    }
   },
   "source": [
    "if DATA == 'image':\n",
    "    final = np.asarray(images, dtype=np.float32)\n",
    "elif DATA == 'fft':\n",
    "    final = np.asarray(power_spectrum.reshape(-1, 28 * 28), dtype=np.float32)\n",
    "elif DATA == 'both':\n",
    "    final = np.concatenate([images.reshape(-1, 28 * 28), power_spectrum.reshape(-1, 28 * 28)], axis=1)\n",
    "else:\n",
    "    raise ValueError(f\"Unknown value for DATA: {DATA}\")"
   ],
   "outputs": [],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "id": "4b3583c32f326df1",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "## Classic anomaly detection with Isolation forest"
   ]
  },
  {
   "cell_type": "code",
   "id": "95e784345188fd25",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:18.027918Z",
     "start_time": "2025-10-17T17:48:16.314075Z"
    }
   },
   "source": [
    "model = IsolationForest(random_seed=10, n_trees=1000)\n",
    "model.fit(np.array(final))\n",
    "scores = model.score_samples(np.array(final))\n",
    "ordered_index = np.argsort(scores)\n",
    "ordered_digits = digits[ordered_index]\n",
    "\n",
    "print(f\"Top 10 weirdest digits : {ordered_digits[:10]}\")\n",
    "print(f\"Top 10 most normal digits : {ordered_digits[-10:]}\")"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Top 10 weirdest digits : [6 5 5 5 3 7 5 5 9 5]\n",
      "Top 10 most normal digits : [1 1 1 1 1 1 1 1 1 1]\n"
     ]
    }
   ],
   "execution_count": 11
  },
  {
   "cell_type": "markdown",
   "id": "c174654444043443",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Plot the top 10 weirdest digits and the top 10 most normal digits"
   ]
  },
  {
   "cell_type": "code",
   "id": "6cfdf217fc3b5644",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:18.313250Z",
     "start_time": "2025-10-17T17:48:18.048392Z"
    }
   },
   "source": [
    "fig, ax = plt.subplots(2, 10, figsize=(20, 5))\n",
    "for i in range(10):\n",
    "    ax[0, i].imshow(images[ordered_index[i]], cmap='gray')\n",
    "    ax[0, i].set_title(f'Digit {ordered_digits[i]}')\n",
    "    ax[0, i].axis('off')\n",
    "    ax[1, i].imshow(images[ordered_index[-i - 1]], cmap='gray')\n",
    "    ax[1, i].set_title(f'Digit {ordered_digits[-i - 1]}')\n",
    "    ax[1, i].axis('off')\n",
    "fig.text(0.1, 0.9, 'Top 10 weirdest digits', ha='left', va='center', fontsize=16)\n",
    "fig.text(0.1, 0.5, 'Top 10 most normal digits', ha='left', va='center', fontsize=16)"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.1, 0.5, 'Top 10 most normal digits')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 2000x500 with 20 Axes>"
      ],
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 12
  },
  {
   "cell_type": "markdown",
   "id": "ac58e1636a9766c",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "## Anomaly detection with PineForest"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "23c4c537793d1bc",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Set expert budget"
   ]
  },
  {
   "cell_type": "code",
   "id": "d5dbc9fb2aa6fc4c",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:18.320113Z",
     "start_time": "2025-10-17T17:48:18.318311Z"
    }
   },
   "source": [
    "EXPERT_BUDGET = 20"
   ],
   "outputs": [],
   "execution_count": 13
  },
  {
   "cell_type": "markdown",
   "id": "6b86dff439131013",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "First, we need a function which would show us an image, its label and ask us if it is an anomaly.\n",
    "\n",
    "Let's say that even numbers are anomalies"
   ]
  },
  {
   "cell_type": "code",
   "id": "d9f10fbe6aa4bc1a",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:18.333636Z",
     "start_time": "2025-10-17T17:48:18.331279Z"
    }
   },
   "source": [
    "def decision(index, x, session):\n",
    "    digit, image = digits[index], images[index]\n",
    "    fig, ax = plt.subplots(1, 1, figsize=(2, 2))\n",
    "    ax.imshow(image, cmap='gray')\n",
    "    ax.set_title(f'Digit {digit}')\n",
    "    ax.axis('off')\n",
    "    plt.show()\n",
    "\n",
    "    ### UNCOMMENT TO MAKE IT INTERACTIVE\n",
    "    # return prompt_decision_callback(index, x, session)\n",
    "\n",
    "    # Non-interactive\n",
    "    return Label.ANOMALY if digit % 2 == 0 else Label.REGULAR"
   ],
   "outputs": [],
   "execution_count": 14
  },
  {
   "cell_type": "markdown",
   "id": "dc07693999b58c31",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Create a model and a session."
   ]
  },
  {
   "cell_type": "code",
   "id": "fe34d7b027260913",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:37.007059Z",
     "start_time": "2025-10-17T17:48:18.336766Z"
    }
   },
   "source": [
    "model = PineForest(\n",
    "    # Number of trees to use for predictions\n",
    "    n_trees=256,\n",
    "    # Number of new tree to grow for each decision\n",
    "    n_spare_trees=768,\n",
    "    # Fix random seed for reproducibility\n",
    "    random_seed=0,\n",
    ")\n",
    "session = Session(\n",
    "    data=final,\n",
    "    metadata=np.arange(len(final)),\n",
    "    model=model,\n",
    "    decision_callback=decision,\n",
    "    on_decision_callbacks=[\n",
    "        TerminateAfter(EXPERT_BUDGET),\n",
    "    ],\n",
    ")\n",
    "session.run()"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAADECAYAAAAGYxrSAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAACFFJREFUeJzt3VlIFe8bwPHHjFJTK4kIW9RIWklbaAFpI5EUUqqryigDob1uuqlovSiJFoW6iYySNiIqiKIosi4MWiWMCsOCFqMCLTWsbH688yfx78yxY3qOPWe+HxDrdY6+wdeXmXdO54RZlmUJoEy3rp4A8DcIFyoRLlQiXKhEuFCJcKES4UIlwoVKhAuVCNdP27Ztk7CwsL967LFjx+zHvnr1qtPn5VWeDPd3SL8/IiIiJD4+XjIyMqSwsFC+fv0a8DkcOnTInoe/NmzYIOPHj5e4uDiJioqSkSNH2r9MdXV14kVhXnyugglm2bJlsmPHDklKSpIfP35IdXW13Lp1S65fvy5DhgyRS5cuydixY5sf8/PnT/vDRN5eTU1N9s/o2bNn86o9ZswY6devn/0z/ZGWliYTJkyQYcOG2XN49OiRHD16VCZOnCi3b9+Wbt08tgZZHlRcXGx+Wa179+45vnbjxg0rMjLSSkhIsBoaGgI2h9GjR1vTp0/v0PfYu3ev/e8oKyuzvMZjv6Z/NmvWLNmyZYu8fv1aSkpK2jzH/fbtm6xdu9ZeOWNiYmTu3Lny9u1b+zhzvK9z3MTERKmoqJDS0tLm05UZM2a0e66JiYn255qaGvEawnWRm5trf7527Vqbxy1dulSKiookMzNT9uzZI5GRkZKVlfXH73/gwAEZNGiQjBgxQk6cOGF/bNq06Y+PM6cqnz59knfv3tlz27x5s/0LM2nSJPGa7l09gX+Riap3797y8uVLn8c8fPhQzp49K+vXr5f9+/fbYytXrrTPncvLy9v8/jk5OXZ0ZqVevHix3/O6f/++TJ06tfnvw4cPt8/FzQWb17Di+hAdHd3m7sLVq1ebY21pzZo1AZvTqFGj7IvHCxcuyMaNG6VXr16e3VVgxfXBBNG/f3+fXzfnwOZK3uxKtGSu+gMlNjZWZs+ebf85OztbTp48aX82q39KSop4CSuuizdv3khtbW1AI+wM8+bNsz+fPn1avIZwXZiLJcPckPAlISFBfv36JVVVVf83XllZ6dfP+Nu7cC01NjbaczC/ZF5DuK3cvHlTdu7caZ8CLFq0yOdxv6M2d8BaMrsM/jDnp/5uY5njzA2M1o4cOWJ/NjchvMbT57hXrlyRZ8+e2dtMHz58sKM1Fz9mNTVX623dJTN3sebPn29vbX3+/FmmTJli78u+ePHCrxXVPP7w4cOya9cu+5TEnE+bPWQ35u6a2S9esGCBJCcny/fv3+XOnTty/vx5O9r27EyEDMvDd85+f/To0cMaMGCAlZ6ebh08eND68uWL4zFbt261j22pvr7eWrVqlRUXF2dFR0dbOTk51vPnz+3jdu/e7fh5VVVVzWPV1dVWVlaWFRMTY3+trbtolZWV1pIlS6yhQ4fad/UiIiLsO29mTnV1dZYXefK5CoH0+PFjGTdunH3Xra1TDXQM57gdYG75tmZOHcw22bRp07pkTl7h6XPcjiooKJAHDx7IzJkzpXv37vY5s/nIz8+XwYMHd/X0QhqnCh1gLuS2b98uT58+tW9YmKdDmuc5mOcdmJAROIQLlTjHhUqEC5UIFyr5fQXRGffWgT/x95KLFRcqES5UIlyoRLhQiXChEuFCJcKFSoQLlQgXKhEuVCJcqES4UIlwoRLhQiXChUqEC5UIFyoRLlQiXKhEuFCJcKES4UIlwoVKhAuVCBcqES5U4kVcRaRv376OscuXL7seO3nyZMfYuXPnXI817/7o9sZ+6DhWXKhEuFCJcKES4UIlwkVov3kJL+z8P6mpqa7vbebrbU9bM28l5ebUqVOdMDv9eGFnhDTChUqEC5UIFypxcdYJwsPDXcdXr17tGMvMzHQ9NiMjo9PnpREXZwhphAuVCBcqES5UIlyoxBPJO0FTU5PreGlpqWNs4cKFQZhR6GPFhUqEC5UIFyoRLlTi4iyAUlJSHGPv37/vkrmEGlZcqES4UIlwoRLhQiXChUrsKgRQXl6eY+zu3btdMpdQw4oLlQgXKhEuVCJcqMTFWSdIS0tzHU9OTnaMzZkzJwgzCn2suFCJcKES4UIlwoVKhAuV2FVop6ioKMfYvn37XI8tKSlxjDU0NARkXl7DiguVCBcqES5UIlyoxAs7t1NhYaFf/5vX14s419fXB2ReoYIXdkZII1yoRLhQiXChEuFCJXYVfPD1/rzr1q1zjBUUFLgeW1FR4Ri7ePGi67G1tbXtnmMoYlcBIY1woRLhQiXChUpcnPlQVlbmOl5VVeUYi4+Pdz02NTXVMdbY2Oh6bHZ2tmPMiy/XZHFxhlBGuFCJcKES4UIlwoVK7CoEUJ8+fRxjx48fdz3248ePjrHly5eL11jsKiCUES5UIlyoRLhQiZdgCqCamhrHWHFxseuxK1asCMKMQgcrLlQiXKhEuFCJcKES4UIldhX+EUlJSV09BVVYcaES4UIlwoVKhAuVuDj7R3Bx1j6suFCJcKES4UIlwoVKhAuV2FUIsoEDB7qOP3nyJOhz0YwVFyoRLlQiXKhEuFCJi7Mgy8vLcx0vLy8P+lw0Y8WFSoQLlQgXKhEuVCJcqMSuQgDFxsb6/YTxoqKiIMwodLDiQiXChUqEC5UIFypxcRZA+fn5jrHw8HDXY8+cOROEGYUOVlyoRLhQiXChEuFCJcKFSuwqBFB6erpjLDc31/XYhoaGIMwodLDiQiXChUqEC5UIFyqFWZZl+XVgWFjgZwPPs/zLkRUXOhEuVCJcqES4UIlwoRLhQiXChUqEC5UIFyoRLlQiXKhEuFCJcKES4UIlwoVKhIvQ/l++/j7BFwgGVlyoRLhQiXChEuFCJcKFSoQLlQgXKhEuVCJciEb/Aa95/UFfBs2rAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<coniferest.session.Session at 0x11a4ccdd0>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 15
  },
  {
   "cell_type": "markdown",
   "id": "539178364d28e40c",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Let's see what we have selected"
   ]
  },
  {
   "cell_type": "code",
   "id": "56539dba0a35fd1c",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:37.015949Z",
     "start_time": "2025-10-17T17:48:37.013513Z"
    }
   },
   "source": [
    "n_anomalies = len(session.known_anomalies)\n",
    "n_total = len(session.known_labels)\n",
    "print(f\"Anomalies: {n_anomalies}/{n_total} ({n_anomalies / n_total:.2%})\")"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Anomalies: 10/20 (50.00%)\n"
     ]
    }
   ],
   "execution_count": 16
  },
  {
   "cell_type": "markdown",
   "id": "689b590a41bd81c3",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Let's do the opposite: odd numbers are anomalies"
   ]
  },
  {
   "cell_type": "code",
   "id": "e4b90bf3afaa6c52",
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "ExecuteTime": {
     "end_time": "2025-10-17T17:48:54.741139Z",
     "start_time": "2025-10-17T17:48:37.023736Z"
    }
   },
   "source": [
    "def decision(index, x, session):\n",
    "    digit, image = digits[index], images[index]\n",
    "    fig, ax = plt.subplots(1, 1, figsize=(2, 2))\n",
    "    ax.imshow(image, cmap='gray')\n",
    "    ax.set_title(f'Digit {digit}')\n",
    "    ax.axis('off')\n",
    "    plt.show()\n",
    "\n",
    "    ### UNCOMMENT TO MAKE IT INTERACTIVE\n",
    "    # return prompt_decision_callback(index, x, session)\n",
    "\n",
    "    # Non-interactive\n",
    "    return Label.ANOMALY if digit % 2 == 1 else Label.REGULAR\n",
    "\n",
    "\n",
    "model = PineForest(\n",
    "    # Number of trees to use for predictions\n",
    "    n_trees=256,\n",
    "    # Number of new tree to grow for each decision\n",
    "    n_spare_trees=768,\n",
    "    # Fix random seed for reproducibility\n",
    "    random_seed=0,\n",
    ")\n",
    "session = Session(\n",
    "    data=final,\n",
    "    metadata=np.arange(len(final)),\n",
    "    model=model,\n",
    "    decision_callback=decision,\n",
    "    on_decision_callbacks=[\n",
    "        TerminateAfter(EXPERT_BUDGET),\n",
    "    ],\n",
    ")\n",
    "session.run()\n",
    "\n",
    "n_anomalies = len(session.known_anomalies)\n",
    "n_total = len(session.known_labels)\n",
    "print(f\"Anomalies: {n_anomalies}/{n_total} ({n_anomalies / n_total:.2%})\")"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAK4AAADECAYAAAAGYxrSAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAB+9JREFUeJzt3UtIFm0fx/G/JT5lt0R2wLSDQVjQAcIIF6JlRZgWQkKLLJIgyiiKVlGWHQiNDlpQixYFRQsXBREkBR12LTQKOlhUKpTYIulkQZrzMPO+ib33aKOWvT/n+4Eb6eq6u+eBr+M118xTMY7jOAaIGfa3DwDoD8KFJMKFJMKFJMKFJMKFJMKFJMKFJMKFJMINqKyszGJiYvr13vPnz3vvbWxs/O3HFVahDPdHSD9eI0aMsOTkZFu2bJmdPHnSPn369MeP4fTp095xBJWamvrTMcf897Vp0yYLo5gwPqvgBlNcXGwHDhywadOmWXt7u7W0tNidO3fs5s2bNmXKFLt69arNnTu36z0dHR3ey428r75//+59xj///NN11p49e7aNGzfO+8yg4Y4ZM8Z27tz503haWpotWLDAwibWQiw3N9fmz5/f9etdu3bZrVu3LD8/31auXGlPnz61kSNHer8XGxvrvfpj+PDh3mugUlJSrKioaMB/zlAQyqVCb3Jycqy0tNSamprs4sWLva5xv379atu2bfPOnAkJCV7sb9688ea583ta47pnz8ePH9vdu3e7fuQvXLgw0PF9+/bN2traLOwI18fatWu9rzdu3Oh13vr16+3UqVO2fPlyq6io8M7OeXl5v/zzKysrbdKkSTZz5ky7cOGC99q9e/cv3+f+NIiPj7dIJOLFX1VVZWEV6qVCT9yoRo8ebS9fvuxxzv379626utq2b99uJ06c8MZKSkq8tfPDhw97/fMLCgpsz5493pk66I9+d72dmZlpM2bMsHfv3nlncfezm5ubvW+asCHcHrhntd52F2pqarpi7W7r1q192i0Iyr1Y7K64uNhbox8/ftz7TPebLUxYKvTg8+fP3rq1J+4aeNiwYd6uRHfTp08fhKMzb128Y8cOb6cj6M7EUEK4Pl6/fm0fPnwYtAj7a/Lkyd7X1tZWCxvC9eFeLLncGxI9mTp1qnV2dlpDQ8NP4y9evAj0Gf29C9fdq1evvK/jx4+3sCFcnyv3gwcPekuANWvW9DjvR9TuHbDu3F2GIEaNGmXv378PNNc9o7o3Mbprb2+38vJyi4uLs0WLFlnYhPri7Pr161ZfX++tE9++fetF6945c8+m7sVQb3fJ0tPTbdWqVd7WlnuVn5GR4e3LPn/+PNAZ1X3/mTNn7NChQ96SZMKECd4esh/3WNx5hYWF3jdUa2urXbp0yR49emSHDx+2pKQkCx0nhM6dO+fe5u56xcXFOUlJSc7SpUudqqoq5+PHj1Hv2bdvnze3u7a2NmfLli1OYmKiE4lEnIKCAufZs2fevPLy8qjPa2ho6BpraWlx8vLynISEBO/3srOzezze2tpaZ8WKFU5KSop3rJFIxMnMzHSqq6udsArlswp/0oMHD2zevHneXbfelhoYGNa4A+De8v1f7tLB3SbLysr6K8cUFqFe4w7UkSNHrK6uzrs4ch/AcdfM7mvjxo1dW1X4M1gqDIB7Ibd//3578uSJd8PCfRzSfc7Bfe6gv0+SIRjChSTWuJBEuJBEuJAU+Arid9xbB34l6CUXZ1xIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIiv3bB6AmOTk5amzz5s2B527YsMEGU1paWtRYYmJi4PfPmTPHdzwSiUSNTZw4MfDckpISGwjOuJBEuJBEuJBEuJBEuJDErkIPcnNzfcdLS0ujxs6ePes7d/HixVFjx44dC3z1P3bsWN+5iT67AvHx8b5z6+rqosba29t95zqOEzV27949C+ry5cs2WDjjQhLhQhLhQhLhQhIXZ2aWn58fNVZWVuY71+9WZWVlpe/c5ubmqLGmpibfuVeuXIkaa2xs9J3b2toaNfblyxcLE864kES4kES4kES4kES4kMSugpmtXr06aiw9Pd13blZWVtRYYWFh4F0F/B6ccSGJcCGJcCGJcCEpxvF7CNNvYkyMDVV+z8IePXrUd252dnbUWE5OTuBnYdG7gDlyxoUmwoUkwoUkwoUkwoUkdhX6aO/evVFjxcXFvnNnzZplYX/gu6/YVcCQRriQRLiQRLiQxMXZb9DZ2Rn4r2C6ffv2IByRLi7OMKQRLiQRLiQRLiQRLiTJ/1++tbW1vuNFRUVRY/X19QP+vIyMjKgxdlwGH2dcSCJcSCJcSCJcSJK/5ZuZmek7XlFREfjWrN9fldTTf++SJUuixmpqanznrlu3Lmqso6PDdy7+g1u+GNIIF5IIF5IIF5IIF5LkdxX6IjU1NfDfB5aQkOA799q1a4H/WSf0HbsKGNIIF5IIF5IIF5JCdXGG/39cnGFII1xIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIIlxIiv3d/4wPMBg440IS4UIS4UIS4UIS4UIS4UIS4UIS4UIS4cIU/QvwXFJ7yoVFrQAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ],
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Anomalies: 19/20 (95.00%)\n"
     ]
    }
   ],
   "execution_count": 17
  },
  {
   "cell_type": "markdown",
   "id": "6160aeb6-22c6-428a-a94e-545295fe3e69",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "source": [
    "Change `decision` function to make it interactive and try your own experiments. For example, say yes to weird sevens only"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}