3_UC3_DL_models_XAI.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "operating-hebrew",
   "metadata": {
    "id": "collected-somerset"
   },
   "source": [
    "# DeepCube Use Case 3: Fire Hazard Forecasting in the Mediterranean"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "continent-melbourne",
   "metadata": {},
   "source": [
    " ![use case3 icon](static/uc3-logo.png) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "visible-macedonia",
   "metadata": {},
   "source": [
    "# Notebook 3: Deep Learning Models Explainability"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "married-irrigation",
   "metadata": {
    "id": "creative-bracelet"
   },
   "source": [
    "We are interested in understanding which are the main drivers that lead to the occurrence of wildfires. To this end, we can apply explainable artificial intelligence (xAI) techniques and extract more information from the trained models besides the metrics (e.g., AUROC). This information can then be translated into usable knowledge which could help in the prevention and management strategies. \n",
    "\n",
    "In particular, we would like to address the following questions: \n",
    "\n",
    "- Which are the main drivers? \n",
    "- What are the relevant spatio-temporal patterns?\n",
    "- How is fire risk affected by changes in the input? \n",
    "\n",
    "Answering these questions will make our models more transparent and trustworthy. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "tamil-campaign",
   "metadata": {
    "id": "understanding-intention"
   },
   "source": [
    "# Initial Imports\n",
    "\n",
    "We start by importing the libraries we need. Make sure to have them installed in your system. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "adjacent-firewall",
   "metadata": {
    "id": "hungry-machine"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: ecCodes 2.21.0 or higher is recommended. You are running version 2.16.0\n"
     ]
    }
   ],
   "source": [
    "import xarray as xr\n",
    "import fsspec\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import numpy as np\n",
    "import fsspec\n",
    "import zarr\n",
    "import os\n",
    "import torchvision\n",
    "from tqdm import tqdm\n",
    "import gc\n",
    "from src.greece_fire_dataset import get_pixel_feature_vector, get_pixel_feature_ds\n",
    "from methods.pixel_activation_maps import ActivationMaps\n",
    "from captum.attr import ShapleyValues, Lime"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "phantom-assistant",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  1., -1.])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.nan_to_num(np.array([0,1,np.nan]), nan=-1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "asian-fraud",
   "metadata": {
    "id": "quarterly-catalyst"
   },
   "source": [
    "# Access Datacube\n",
    "\n",
    "Let's open the dataset with xarray"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "stuffed-press",
   "metadata": {
    "id": "demographic-display"
   },
   "outputs": [],
   "source": [
    "# uncomment the lines if you download the dataset locally\n",
    "# !wget -O dataset_greece.nc https://zenodo.org/record/4943354/files/dataset_greece.nc?download=1\n",
    "# ds = xr.open_dataset('./dataset_greece.nc')\n",
    "\n",
    "# comment out the following two lines if you want to access the dataset locally\n",
    "url = 'https://storage.de.cloud.ovh.net/v1/AUTH_84d6da8e37fe4bb5aea18902da8c1170/uc3/uc3cube.zarr'\n",
    "ds = xr.open_zarr(fsspec.get_mapper(url), consolidated=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "computational-transcription",
   "metadata": {
    "id": "y_rV3cbDuJ4x"
   },
   "source": [
    "We see that the dataset has x,y and time dimensions.\n",
    "\n",
    "More specifically it contains 4314 days (from 06/03/2009 to 06/12/2020) of 700x562 rasters\n",
    "\n",
    "Dynamic variables like the `burned_areas` have all three dimensions, while static variables like `clc_2012` misses the temporal component and only has x, y dimensions."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "determined-absence",
   "metadata": {},
   "source": [
    "# Load pretrained models"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "compatible-checklist",
   "metadata": {},
   "source": [
    "Pytorch lightning checkpoints are on `saved_models` directory.\n",
    "\n",
    "The code for the models is in the `src` directory."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "apart-survey",
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.greece_fire_models import CNN_fire_model, LSTM_fire_model, ConvLSTM_fire_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "promising-aside",
   "metadata": {},
   "outputs": [],
   "source": [
    "# \"dynamic_features\":   ['Fpar_500m', 'Lai_500m', 'LST_Day_1km', 'LST_Night_1km', '1 km 16 days NDVI', '1 km 16 days EVI', 'era5_max_u10', 'era5_max_v10', 'era5_max_t2m', 'era5_max_tp', 'era5_min_u10', 'era5_min_v10', 'era5_min_t2m']\n",
    "# \"hidden_size\":        16\n",
    "# \"lr\":                 0.0001\n",
    "# \"lr_scheduler_gamma\": 0.2\n",
    "# \"lr_scheduler_step\":  25\n",
    "# \"lstm_layers\":        1\n",
    "# \"positive_weight\":    0.5\n",
    "# \"static_features\":    ['dem_mean', 'aspect_mean', 'slope_mean', 'roads_density_2020', 'population_density']\n",
    "# \"weight_decay\":       0.03\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "dynamic_features = ['Fpar_500m', 'Lai_500m', 'LST_Day_1km', 'LST_Night_1km', '1 km 16 days NDVI', '1 km 16 days EVI', 'era5_max_u10', 'era5_max_v10', 'era5_max_t2m', 'era5_max_tp', 'era5_min_u10', 'era5_min_v10', 'era5_min_t2m']\n",
    "static_features= ['dem_mean', 'aspect_mean', 'slope_mean', 'roads_density_2020', 'population_density']\n",
    "best_settings = {\n",
    "    'lstm' : {'dynamic_features' : dynamic_features, 'static_features' : static_features , 'hidden_size' : 64,  'lstm_layers':1, 'attention':False},\n",
    "    'cnn' : {'dynamic_features' : dynamic_features, 'static_features' : static_features , 'hidden_size' : 16},\n",
    "    'convlstm' : {'dynamic_features' : dynamic_features, 'static_features' : static_features , 'hidden_size' : 16,  'lstm_layers':1},\n",
    "\n",
    "}\n",
    "features = dynamic_features+static_features\n",
    "classes = {0:\"No fire\", 1:\"Fire\"}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "straight-kernel",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jupyter-iprapas/.virtualenvs/python38/lib/python3.8/site-packages/torchmetrics/utilities/prints.py:36: UserWarning: Metric `AUROC` will save all targets and predictions in buffer. For large datasets this may lead to large memory footprint.\n",
      "  warnings.warn(*args, **kwargs)\n",
      "/home/jupyter-iprapas/.virtualenvs/python38/lib/python3.8/site-packages/torchmetrics/utilities/prints.py:36: UserWarning: Metric `AveragePrecision` will save all targets and predictions in buffer. For large datasets this may lead to large memory footprint.\n",
      "  warnings.warn(*args, **kwargs)\n"
     ]
    }
   ],
   "source": [
    "model = 'convlstm'\n",
    "convlstm = ConvLSTM_fire_model(**best_settings[model]).load_from_checkpoint('saved_models/convlstm.ckpt')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "rational-luxury",
   "metadata": {},
   "source": [
    "# Local XAI"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "frozen-minute",
   "metadata": {},
   "source": [
    "We select a day from the test set (year 2020) that there was a big fire"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "exterior-vulnerability",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.QuadMesh at 0x7fc4a41b89d0>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "example = ds.sel(x=22.43, y=36.72, time='2020-08-21',method=\"nearest\")\n",
    "\n",
    "\n",
    "x = np.where(ds['x'].values==example['x'].values)[0][0]\n",
    "y = np.where(ds['y'].values==example['y'].values)[0][0] \n",
    "t = np.where(ds['time'].values==example['time'].values)[0][0]\n",
    "\n",
    "example_ds = get_pixel_feature_ds(ds, t=t, x=x, y=y, access_mode='spatiotemporal', patch_size=25, lag=10)\n",
    "example_ds.burned_areas[-1].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "improving-definition",
   "metadata": {},
   "source": [
    "Now let's explain our model's predictions in the place that the fire occured."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "mediterranean-scenario",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7fc4a4016c40>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ds.sel(x=22.43, y=36.72, method='nearest').sel(time=slice('2020-08-01', '2020-08-30')).era5_max_t2m.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "commercial-fisher",
   "metadata": {},
   "outputs": [],
   "source": [
    "example = ds.sel(x=22.43, y=36.72, time='2020-08-21',method=\"nearest\")\n",
    "x = np.where(ds['x'].values==example['x'].values)[0][0]\n",
    "y = np.where(ds['y'].values==example['y'].values)[0][0] \n",
    "t = np.where(ds['time'].values==example['time'].values)[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "surprising-graph",
   "metadata": {},
   "outputs": [],
   "source": [
    "target = torch.tensor(example.burned_areas.values)\n",
    "target = torch.unsqueeze(target, 0).long()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "provincial-reader",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(10, 13, 25, 25) (5, 25, 25)\n",
      "torch.Size([1, 10, 18, 25, 25])\n",
      "spatiotemporal: tensor([0.6875], grad_fn=<SelectBackward>)\n"
     ]
    }
   ],
   "source": [
    "model, access_mode, patch_size, lag = convlstm, 'spatiotemporal', 25, 10\n",
    "dynamic, static = get_pixel_feature_vector(ds, t=t, x=x, y=y, access_mode=access_mode, patch_size=patch_size, lag=lag,\n",
    "                             dynamic_features=dynamic_features,\n",
    "                             static_features=static_features, nan_fill=1.0, override_whole=False)\n",
    "print(dynamic.shape, static.shape)\n",
    "dynamic = torch.tensor(dynamic).unsqueeze(dim=0)\n",
    "static = torch.tensor(static).unsqueeze(dim=0)\n",
    "model.eval()\n",
    "bsize, timesteps, _, _, _ = dynamic.shape\n",
    "static = static.unsqueeze(dim=1)\n",
    "repeat_list = [1 for _ in range(static.dim())]\n",
    "repeat_list[1] = timesteps\n",
    "static = static.repeat(repeat_list)\n",
    "inputs = torch.cat([dynamic, static], dim=2).float()\n",
    "print(inputs.shape)\n",
    "logits = model(inputs)\n",
    "# positive_weight = 0.8\n",
    "criterion = model.criterion\n",
    "# criterion = torch.nn.NLLLoss(weight=torch.tensor([1 - positive_weight, positive_weight]))\n",
    "loss = criterion(logits, target)\n",
    "preds_proba = torch.exp(logits)[:, 1]\n",
    "print(f'{access_mode}: {preds_proba}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "verbal-issue",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"dynamic_features\":   ['Fpar_500m', 'Lai_500m', 'LST_Day_1km', 'LST_Night_1km', '1 km 16 days NDVI', '1 km 16 days EVI', 'era5_max_u10', 'era5_max_v10', 'era5_max_t2m', 'era5_max_tp', 'era5_min_u10', 'era5_min_v10', 'era5_min_t2m']\n",
       "\"hidden_size\":        16\n",
       "\"lr\":                 0.0001\n",
       "\"lr_scheduler_gamma\": 0.2\n",
       "\"lr_scheduler_step\":  25\n",
       "\"lstm_layers\":        1\n",
       "\"positive_weight\":    0.5\n",
       "\"static_features\":    ['dem_mean', 'aspect_mean', 'slope_mean', 'roads_density_2020', 'population_density']\n",
       "\"weight_decay\":       0.03"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.hparams"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "local-occasion",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.3747, grad_fn=<NllLossBackward>)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "foreign-november",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  Fpar_500m\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  Lai_500m\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  LST_Day_1km\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  LST_Night_1km\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  1 km 16 days NDVI\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  1 km 16 days EVI\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_max_u10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_max_v10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_max_t2m\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_max_tp\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_min_u10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_min_v10\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  era5_min_t2m\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  dem_mean\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  aspect_mean\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  slope_mean\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  roads_density_2020\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel =  population_density\n"
     ]
    },
    {
     "data": {
      "image/png": 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SRkmHJH1npNVcwPZqSU9J+lpEHFu4b0Ku78jCflDSjQu+v6G7bSxFxMHu1yOSntb8y5Bxd9j2dZLU/XpkxPU0iojDETEXER1JP9AYXWPbSzUf9Mci4kfdzRN1faXRhf0nktbb/qTtZZK+JOnZEdXSyPYq21d++FjS5yTta/6psfCspO3dx9slPTPCWoo+DE7XFzQm19i2JT0saX9EfHfBrom6vtIIR9B1b638raRpSY9ExF+OpJAC27+l+d5cmp9n/4fjVqvtxyVt1vxHLw9LelDSP0p6UtInNP+x4rsjYizeFOtR72bNP4UPSW9J+sqC18QjY/s2Sf8m6VVJHy4a/03Nv24fy+vbC8NlgSR4gw5IgrADSRB2IAnCDiRB2IEkCDuQBGEHkvg/Jg/wkKA0tlUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(features)):\n",
    "    print(\"Channel = \",features[i])\n",
    "    plt.imshow(inputs[0,0,i,:,:])\n",
    "    plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.viridis, interpolation='none', alpha=0.2)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "mysterious-translator",
   "metadata": {},
   "source": [
    "# LIME \n",
    "\n",
    "Local Interpretable Model-agnostic Explanations (LIME) makes a linear approximation of the model in the proximity of the instance of interest. The coefficients of the linear approximator determine the importance of the input features. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "applicable-breakfast",
   "metadata": {},
   "outputs": [],
   "source": [
    "lime = Lime(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "expected-component",
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_mask = torch.tensor(np.ones((1, 10, 18, 25, 25)), dtype=torch.long)\n",
    "\n",
    "for i in range(18):\n",
    "    feature_mask[:,:,i,:,:] = feature_mask[:,:,i,:,:]*i"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "incoming-regulation",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "attr_coarse = lime.attribute(inputs, target=1, feature_mask=feature_mask, n_samples=500, return_input_shape=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "careful-yahoo",
   "metadata": {},
   "outputs": [],
   "source": [
    "attr_coarse = attr_coarse[0,:].cpu().detach().numpy()\n",
    "result = sorted(zip(list(attr_coarse),features),reverse=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "canadian-record",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fi_vector, ordered_features = list(zip(*result))\n",
    "plt.figure(figsize=(10,10))\n",
    "plt.title(\"LIME Features Ranking\")\n",
    "plt.barh(ordered_features, fi_vector)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "viral-commander",
   "metadata": {},
   "source": [
    "We are interested also in deriving the patterns at finer spatial and temporal scales. To do so, we can divide each channel in 5x5 windows thereby creating 25 sub-features. Then we use again LIME, this time using as input these 450 (25x18x10) finer channels. Define the windows (or sub-features): "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "foster-former",
   "metadata": {},
   "outputs": [],
   "source": [
    "feature_mask = torch.tensor(np.ones((1, 10, 18, 25, 25)), dtype=torch.long)\n",
    "rowm = np.concatenate((np.ones((5, 5)), np.ones((5, 5))*2, np.ones((5, 5))*3, np.ones((5, 5))*4, np.ones((5, 5))*5), axis=1)\n",
    "fullm = np.concatenate((rowm, rowm*2, rowm*3, rowm*4, rowm*5), axis=0)\n",
    "fmask = torch.tensor(fullm)\n",
    "\n",
    "for i in range(18):\n",
    "    feature_mask[:,:,i,:,:] = feature_mask[:,:,i,:,:]*(i+1)\n",
    "\n",
    "for i in range(18):\n",
    "    feature_mask[:,:,i,:,:] = feature_mask[:,:,i,:,:]*fmask*(i+1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "designed-mumbai",
   "metadata": {},
   "source": [
    "Fit LIME: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "right-learning",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "attr_fine = lime.attribute(inputs, target=1, feature_mask=feature_mask, n_samples=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "tamil-hacker",
   "metadata": {},
   "source": [
    "Plot most active feature windows identified by LIME per channel and the burned area on top:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "flush-pocket",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4bmKzO4ATgO2SFgJHAY1L6ONrhmZWR0Te1KRbgMm7w2uBr9dpcyuwRtIx5Y2TNeW83PW+HfhORLq3DoZmVqNNd5OvBt4oaQtwVvkeScOSriv6EaPAVcBd5XRlOQ9J10jaDhwmabukK8r1Xg8cK2kr8PvUuUtdj0+TzWyKoCWBLr2diL3AmXXmbwYuqbzfCGys0+4jwEfqzH8OeMds++NgaGY1Onono0McDM1sqoAYwMfxHAzNrIYLNZiZ0ZI7xT2nP4NhVmXQdJPP/OxljRvkFIjNSNiNQ5pP7v7AspH0dnKSoRP7TmPpZPUYSm/o2o+8sPF2MhKUs2T8Vqe29YFrtjVcDkAqiRyyvnMP/OgFDZevWt3wIYqWmHw2edD0ZzA0s7kL8v5y9pnkoY2kjZJ2S7q/Mi+r9I6Z9aY2JV13lZyk6xsoq0RUJEvvmFmvEjGRN/WTZDCMiO8B06sn5JTeMbNeFZlTH5nrNcOc0jsASFoHrANYvvLQOW7OzNomBvMGStPPJpcPQM/4NyIiNkTEcEQMLzl2UbObM7N2GMAjw7kGw11lyR0alN4xs56lzKl/zDUY5pTeMbNeNZE59ZHkNUNJN1EUV1xalstZT1Fq50uSLgZ+CrxzPjs5W6t+8/Fkm5F7lqRXtDhxWj82nl7HwqFkk2R934yEXh1M9yXn73gsbtzfnITqnNOnnKrbLZGTGJ8sNd6iI6CcnznRZOTepQ2XP/tMC1KHBzTPMLnnIuLCGRbVlN4xs/7QbzmEOfwEipnVcjA0M8OnyWZmkHEduw85GJrZVCHos0ftcjgYmlktHxmameFgaGYGOBgOlINj6TZjiTbKSOhNrQMgVdU5o1p2qxLDXvZg4/WML07/zAvG0n1JbScn0TnnhufDL23Tb3XG/l/1qsfmvRvPOyzj+5bipGszs4LvJpuZgU+TzczAR4ZmZgVfMzSzgdeHhVtzOBiaWa0BDIZNl/03s/6jibypqW1kDjksaW3ZZouktZX5H5O0TdLT09pfJOkxSfeW0yU5/RnYI8NVpz2ZbvS1RM5WTuHQnBzBVE5dqsgsEIsz/itz/ton8uWG9qd/AyKnGGqqzXh6O1telrGdjP2f2i2rXjmAo1q058hwcsjhqyVdWr7/w2oDSUsoCkoPl726W9ItEbEP+AbwWWBLnXXfHBHvm01nfGRoZlMo8qcm5Qw5fDawKSJGywC4iXIc94j4QWWUzqY5GJpZrVDeVAwHsrkyrZvFVnKGHF4BbKu8317OS3mbpPskfVnSCTmdGdjTZDNrIP+ob09EDM+0UNJtwPF1Fl0+ZXMRIbUsu/EbwE0RsV/SuyiOOn839SEHQzOr0aqwFBFnzbgNaZek5RGxs8GQwzsoBqSbtBL4bmKbeytvrwOuyemrT5PNbKpoz91k8oYcvhVYI+mY8m7zmnLejCbHdC+9BXgwpzMOhmZWKzKn5lwNvFHSFuCs8j2ShiVdBxARo8BVwF3ldGU5D0nXlMMXHyZpu6QryvW+X9IDkn4EvB+4KKczPk02s1ptSK0pT2drhhyOiM3AJZX3G4GNddp9BPhInfmXAZfNtj8OhmZWw4UabIpVpz/VcPnID49KryQn6TpVJPbAwfQqnt2f3s7QUHo9qdqgOUnMizK+Vsmk6pxCARm/sRnXtTSII6ZbDQdDM6s1gH8fHAzNbKpoyZ3inuNgaGa1fGRoZoNO+AaKmVnBwdDMBl5rKtL0HAdDM6vlGyhmZj4ytGnef/z9jRu8pTXbGdl8dOMGi9KVrj/94Rcl25z8UPrP/d8nE7NzfkvSCdMfvOZnDZf/5OXpdZybU1E7J6F6YgB/81MGcJckCzVI2ihpt6T7K/OukLSjMsbAm+a3m2bWNrlFGvosYOZUrbmBssz2NNdGxOpy+mZru2VmndSmsv9dJRkMI+J7wGgb+mJm3cJHhrPyvnKMgY0zDfEHIGnd5PgIo3vTBQfMrPPaVNy1q8w1GH4OeAmwGtgJfHKmhhGxISKGI2J4ybHpGwFm1mG+ZpgvInZFxHhETACfB05tbbfMrFM0i6mfzCkYThtj4K1AIgfFzHrKAB4ZJvMMJd1EMTrV0nK8gfXAGZJWU+yOR4F3zV8Xzazd+u1OcY5kMIyIC+vMvn4e+tKXRu5ektEq8c07mL7xFPvTla4ffmm60vXJj7RgjLBIX1n/yUmJnzlZCRuYaM+J2n3ff36yzSt/6+k29KSNHAzNbOC5uKuZWclHhmZmvmZoZlZwMDQz85GhmVlxVOgbKGY26DwglM2PiZx8uRb8GVY65y6ytpPK/8spljqebnPgQOPlGQVtcwq3rnrN3vR6EkbuOjrd5p5j29KXtnEwNDMD5VQI7zMOhmY2VR8+d5yjBc9emVm/aUela0lLJG2StKX8t25dVElryzZbJK0t5x0m6e8kPSTpAUlXV9ofIulmSVsl3SnpxJz+OBiaWY02FXe9FLg9Ik4Cbi/fT+2HtISiOMxpFKUC11eC5ici4uXAq4HXSTq3nH8xsC8iXgpcC/xpTmccDM2sVntKeJ0H3Fi+vhE4v06bs4FNETEaEfuATcA5EfFMRNwBEBEHgHuAlXXW+2XgTCl9h9HB0MymyjxFLk+Tl04O61FO62axpWURsbN8/XNgWZ02K4Btlffby3m/JOlo4M0UR5dTPhMRY8ATQPJ2v2+gmFmt/KO+PRExPNNCSbcBx9dZdPmUzUWENPurkJIWAjcBn4mIR2b7+SoHQzObopVJ1xFx1ozbkXZJWh4RO8vq+bvrNNtBUVx60krgu5X3G4AtEfGpaZ85AdheBsujgGSSp4PhfMupPzqUuFqh9NUMLc5IUh5LJ0M//JLEVfEFGT/QRLq/5x7+vMYNnnkuvZ2hdLHaVlj1m48n24xsnnGAyF+1ue8F6W29sl48aD9NtCW35hZgLXB1+e/X67S5FfiTyk2TNcBlAJL+mCLQXTLDer8PvB34TkQ6cdLXDM1sqvaNjnc18EZJW4CzyvdIGpZ0HUBEjAJXAXeV05URMSppJcWp9inAPZLulTQZFK8HjpW0Ffh96tylrsdHhmZWox2VriNiL3BmnfmbqRztRcRGYOO0NtuZ4bwrIp4D3jHb/jgYmlmtAXwCxcHQzGq4ao2ZWZBVEajfOBiaWQ2PjmdmA8/FXc3MoDhF9mmytdqq4ceTbZKVlHMStzMSqnPEeOP1KNKpqal1ALD/YGIlGb+MBxPrAEb+aWmyzapX70lvK7WO4X1Nr6Ob+MjQzAycWmNmBj4yNDMrjgpzBv7qMw6GZlbDR4ZmZuC7yWZm4CNDM7OBHSrUwXCejWw+Ot0omUeY/mZ+4L9vS7bJ+oanmrTq9CmVr7gw46uZHuMnq7/3Pry84fLVJ+9suLzfCJBvoJiZgQbwmmHycQJJJ0i6Q9KPy8GaP1DOzxoA2sx6TPsqXXeVnLL/Y8AfRMQpwOnAeyWdQsYA0GbWi+JXzyenpj6SDIYRsTMi7ilfPwU8SDEuac4A0GbWg2YxbnLfmNU1Q0knAq8G7iRvAGjKQaXXASxfeeicO2pmbdRnR305skfHk/R84CvAByPiyeqychi+unsvIjZExHBEDC85NmM4SzPrrCjuJudM/SQrGEpaRBEIvxARf1PO3lUO/EyDAaDNrBf5BkotSaIYh/TBiPizyqLJgZph5gGgzawHKSJr6ic51wxfB/weMCLp3nLeRykGfP6SpIuBnwLvnJce9ris4q6bE1lJOd+5nC/mRMbAFgsSfx8XZXxlcvp74EDDxatOfypjJWkjPzwq2Wboycb7ZeTudNbYqtf2V3HXQbxmmPxmR8T/ZeZnJGoGgDazHheAB4Qys0En+u8UOIeDoZnVyrmk0mccDM1sKp8mm5kVBvE0OTvp2swGSBueTc4t9iJpbdlmi6S15bzDJP2dpIfKAjJXV9pfJOkxSfeW0yU5/XEwNLNp2laoIVnsRdISYD1wGnAqsL4SND8RES+neET4dZLOrXz05ohYXU7X5XTGwdDMppocHS9nak5OsZezgU0RMRoR+4BNwDkR8UxE3AEQEQeAe4CVzXTG1wznWVal65QFGRWdFwyl24yNZ7QZa7x8PGMdqcRtyKtS3QKrTn2iLdvpN7O4ZrhU0ubK+w0RsSHzsznFXlYA1TLu28t5v+qrdDTwZuDTldlvk/Q7wMPAhyIiWQrewdDMauUHwz0RMTzTQkm3AcfXWXT51M1FSLMvCiZpIXAT8JmIeKSc/Q3gpojYL+ldFEedv5tal4OhmU0VwERr7iZHxFkzLZO0S9LyiNjZoNjLDuCMyvuVwHcr7zcAWyLiU5Vt7q0svw64JqevvmZoZtO07QZKTrGXW4E1ko4pb5ysKech6Y+Bo4APVj8wWU2r9BaKgtRJPjI0s1rtyTOsW+xF0jDw7oi4JCJGJV0F3FV+5spy3kqKU+2HgHuK4lp8trxz/H5Jb6EYsmQUuCinMw6GZjZVAOPz/whKeTpbU+wlIjYDl1TebwQ2TmuznRkKyETEZcBls+2Pg6GZTRMQg/c8noOhmdUawMfxHAzNbKoW3k3uJQ6G8yyn0nVKshI2wERGMnTOX/tWJEMPZSQpDOAvW0/xkaGZGQ6GZmZE5D122WccDM2slo8MzcxwMDQzgxjIG1wOhmY2VUA46drMjLY8jtdtHAy7wMidRzZusCgj9y/nrCbnDmHqWlFOHmLOL1KbirvaHER4qFAzM8A3UMzMAMJHhmZmLSnc2nMcDM1sKhdqMDMrYmH4cTwzG3jh4q5mZgCET5PNzBjII0NFG+8aSXqMYhSsSUuBPW3rQPN6qb+91Fforf52c19/PSKOa2YFkr5F8TPm2BMR5zSzvW7R1mBYs3Fpc0QMd6wDs9RL/e2lvkJv9beX+mr5PIi8mRkOhmZmQOeD4YYOb3+2eqm/vdRX6K3+9lJfLVNHrxmamXWLTh8Zmpl1BQdDMzM6GAwlnSPpJ5K2Srq0U/3IIelRSSOS7pW0udP9mU7SRkm7Jd1fmbdE0iZJW8p/M0aib48Z+nuFpB3lPr5X0ps62cdJkk6QdIekH0t6QNIHyvldu39tbjoSDCUNAX8OnAucAlwo6ZRO9GUW3hARq7s0v+wGYHri66XA7RFxEnB7+b5b3EBtfwGuLffx6oj4Zpv7NJMx4A8i4hTgdOC95Xe1m/evzUGnjgxPBbZGxCMRcQD4InBeh/rS8yLie8DotNnnATeWr28Ezm9nnxqZob9dKSJ2RsQ95eungAeBFXTx/rW56VQwXAFsq7zfXs7rVgF8W9LdktZ1ujOZlkXEzvL1z4FlnexMpvdJuq88je66005JJwKvBu6kN/evNeAbKHleHxGvoTitf6+k3+l0h2Yjivypbs+h+hzwEmA1sBP4ZEd7M42k5wNfAT4YEU9Wl/XI/rWETgXDHcAJlfcry3ldKSJ2lP/uBr5KcZrf7XZJWg5Q/ru7w/1pKCJ2RcR4FAP2fp4u2seSFlEEwi9ExN+Us3tq/1pap4LhXcBJkl4kaTFwAXBLh/rSkKTDJR0x+RpYA9zf+FNd4RZgbfl6LfD1DvYlaTKwlN5Kl+xjSQKuBx6MiD+rLOqp/WtpHXsCpUyd+BQwBGyMiI91pCMJkl5McTQIRf3Hv+q2vkq6CTiDouzSLmA98DXgS8ALKcqmvTMiuuKmxQz9PYPiFDmAR4F3Va7JdYyk1wP/AIwAk0X+Pkpx3bAr96/NjR/HMzPDN1DMzAAHQzMzwMHQzAxwMDQzAxwMzcwAB0MzM8DB0MwMgP8PwCIflYa7kikAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mIzwzqwwHPDOrDAe8IVNCJdysfNSMCsFRa72drKrJOZ/QjCTccx9NJDDPzfjIZCRkv+EVif2S854z2jy2IiNpO7Waknb/qjXPZayoMwfmdfSVD3VVTjw2s+rxKK2ZVYcDnplVhY/wzKw6fA3PzCphQIt75nDAM7NmDnhmVhXJEoEDqrIBL6dI6L+lcvVK+iuYzLMbTRd11Jz0rzKru6mr1RmFRkvJocvIk3xsRU7uYUZfEnmDq35o9vPn+o6P8MysChQepTWzKvEorZlVho/wzKwqfEprZtUQHqU1syrxEZ6ZVYYDnplVha/hVdD5P3ys5fJd/zm/nA2lkmNr6WTfGBvrfDsAqWs3OevISJTu2jc9ZxQjtepwwDOzZkP6d8IBz8wm8iitmVXKkB7hpb/VxcwqRXznftrU1NF2pMWStkl6vPi5aJp2G4o2j0va0DD/ZknPSGp9sb2BA56ZNYvMqTPXA/dGxArg3uL5BJIWAzcAa4E1wA0NgfGzxbxsDnhmNlHm0V0JqSvrgS3F4y3AVVO0eSuwLSKORMRRYBuwDiAi7o+I/TPZoK/hmVmz/EGLJZJ2NjzfFBGbMl+7tCFgHQCWTtHmTOCZhud7i3ltccAzsyYzOHo7HBGrp12P9HngNVMs+q3GJxER0uynO3c14NVePZej7/zubm6yI3NHWyf8XvSmcirh7rp/QcvlGklfebjyjAPJNud+Nf150oLWicU5n8icSmq//78XtVz+2Bsy1rI3Y0NZ/4VaN3rDkhdzVjJcSgo9EXHZdMskHZS0LCL2S1oGHJqi2T7gkobny4Evttuf5P8kSZslHZL0UMO8GyXtk/RgMf1Eux0wsz6TO2DReVDcCpwcdd0A3DVFm3uAyyUtKgYrLi/mtSVn0OLjFBcJJ/lwRFxQTHe32wEz6z9dGrS4BXiLpMeBy4rnSFot6WMAEXEE+F1gRzHdVMxD0h9K2gucLmmvpBtTG0ye0kbEfZLObu/9mNlA6kLicUQ8C1w6xfydwDsanm8GNk/R7n3A+2ayzU7SUq6TtKs45Z0yYRBA0kZJOyXtfPkbL3WwOTPrFo3nTYOm3YD3EeD1wAXAfuCD0zWMiE0RsToiVp+68PQ2N2dmXdO9a3hd11bAi4iDEVGLiHHgr5hhtrOZ9S/NYBo0bQW8Ygj5pJ8EHpqurZkNoCE9wksOWki6nXoezJJiROQG4BJJF1B/y08BvzR7XTSzbqtsxeOIuGaK2bfNQl+G0q7trZOKc8R4+upwZFRF/tq56ZOQc/d0fqISGdWMHzs30SanInLOl0WXcN6VU9k6VR174FQ14JlZxbgAqJlVio/wzKwqKnsNz8wqyAHPzKrCR3hmVg3BTAqADhQHPDOb4OSX+AwjB7zZ1kfffJ+TH5fMf8t5OxnbSeUWSjk3AaW3s2rN8xnrae2BL01bG+Pbdm8/I92XtZ33pWv652NbKgc8M2uinD+OA8gBz8wmGtD7ZHM44JlZE1/DM7PK8K1lZlYdPsIzs0oo5wt6+pIDnpk1c8Azsypw4rG1TxkVKFM5TyPpdWgknaibU0j0aysSfcl4P5GRbK39rT96MZYuaKqcfVuCVRe/kGyzO6PQ6+4vZyQnl5AoXQb1UcJ8mRzwzGwi5+GZWZU4LcXMqsNHeGZWFR60MLNqCPK+NW4AOeCZWRNfwzOzSnAenplVR4RPaa0952ckre66P520mpTxAc1J1E1VRS4t1beWOGfKqZqc0Wb3l1+ZbLNqzXPJNsl1rE3/ngeJj/DMrDoc8MysKnyEZ2bVEEBtOCOeA56ZNfERnplVh0dpzawqfIRnZtXg8lDVdKI22vE6dmfk2CVz3zIKgN74xNrsPnXSlxylFOZUzr7P2E7GLVIP7FjacvmqC5/N6MvwEKAuDFpIWgz8HXA28BTwtog4OkW7DcBvF09/LyK2SDod+Hvg9UAN+GxEXJ/aZrpMrplVjiKypg5dD9wbESuAe4vnE/tRD4o3AGuBNcANkhYVi/8oIr4PuBB4o6QrUhtMBjxJZ0n6gqRHJD0s6d0nOyJpm6THi5+LUusyswEQM5g6sx7YUjzeAlw1RZu3Atsi4khx9LcNWBcRL0XEFwAi4jjwFWB5aoM5R3hjwHsjYiVwMfAuSSvJiM5mNojiO/fTpiZYImlnw7RxBhtaGhH7i8cHgKmuLZwJPNPwfG8x79skLQSupB6HWkpewys6tL94/IKkR4sNrgcuKZptAb4I/EZqfWbW/2YwSns4IlZPux7p88Brplj0W41PIiKkmY8NS5oD3A78aUQ8kWo/o0ELSWdTP1/eTl50poj4GwFOf036W5vMrA+UlIcXEZdNt0zSQUnLImK/pGXAoSma7eM7B1ZQP239YsPzTcDjEfHHOf3JHrSQNB/4NPCeiJjwXXJRH9qbcg9FxKaIWB0Rq09deHru5sysV6I+SpszdWgrsKF4vAG4a4o29wCXS1pUjBNcXsxD0u8BrwTek7vBrIAnaS71YPfJiPhMMftgEZVpEZ3NbBB1Z9DiFuAtkh4HLiueI2m1pI8BRMQR4HeBHcV0U0QckbSc+mnxSuArkh6U9I7UBpOntKonVd0GPBoRH2pYdDI638L00dnMBlAJKSdJEfEscOkU83cC72h4vhnYPKnNXtooz5hzDe+NwC8AuyU9WMx7P/VA9ylJ1wJPA2+b6carIOtb61PJyRmfvTIShnNopJzUzRhvnRF8/sXHStlOTuI3Lx/veB05v+eBUtV7aSPiS0wfSZuis5kNuCDrDpVB5FvLzGwCUcpdFH3JAc/MmiUuOQwqBzwzm8intGZWJT6lNbPqcMAzs2rwF3GbWVX4W8usXeVUPE4n+2YlBGeMvKX6kkoY7jdDlxDcJb6GZ2bV4YBnZpUQwLgDnplVggctzKxKHPDMrBICqA3W4FQuBzwzmyQgHPDMrCp8SmtmleBRWmtXGYmvu7dnVO3N+IB2rypyRuXt4fz/NDx8hGdmleGAZ2aVEAG1Wq97MSsc8MysmY/wzKwyHPDMrBrCo7RmVhEB4cRjM6sM31pms2XXf85vuTwrr00ZpyBdOkuJjNMhKeM9WW9E+GsazaxCPGhhZlUxaKX8czngmdkkLgBqZlXh4gFmVhUBhG8tM7NKCBcANbMKyUktGkQOeGbWbEiP8NStopAAkr4OPN0wawlwuGsd6Nwg9XeQ+gqD1d9+7uvrIuLVnaxA0ueov8cchyNiXSfb66auBrymjUs7I2J1zzowQ4PU30HqKwxWfweprzbRSK87YGbWLQ54ZlYZvQ54m3q8/ZkapP4OUl9hsPo7SH21Bj29hmdm1k29PsIzM+saBzwzq4yeBTxJ6yQ9JmmPpOt71Y8ckp6StFvSg5J29ro/k0naLOmQpIca5i2WtE3S48XPRb3sY6Np+nujpH3FPn5Q0k/0so8nSTpL0hckPSLpYUnvLub37f616fUk4EkaBW4FrgBWAtdIWtmLvszAmyPigj7Nv/o4MDn583rg3ohYAdxbPO8XH6e5vwAfLvbxBRFxd5f7NJ0x4L0RsRK4GHhX8Vnt5/1r0+jVEd4aYE9EPBERx4E7gPU96svAi4j7gCOTZq8HthSPtwBXdbNPrUzT374UEfsj4ivF4xeAR4Ez6eP9a9PrVcA7E3im4fneYl6/CuBfJD0gaWOvO5NpaUTsLx4fAJb2sjOZrpO0qzjl7btTRElnAxcC2xnM/Vt5HrTI86aI+EHqp+DvkvSjve7QTEQ996jf848+ArweuADYD3ywp72ZRNJ84NPAeyLi+cZlA7J/jd4FvH3AWQ3Plxfz+lJE7Ct+HgLupH5K3u8OSloGUPw81OP+tBQRByOiFvUvRP0r+mgfS5pLPdh9MiI+U8weqP1rdb0KeDuAFZLOkXQKcDWwtUd9aUnSPEkLTj4GLgceav2qvrAV2FA83gDc1cO+JJ0MHoWfpE/2serfJ3kb8GhEfKhh0UDtX6vr2Z0WRdrBHwOjwOaIuLknHUmQ9D3Uj+qgXj/wb/utr5JuBy6hXtLnIHAD8I/Ap4DXUi/J9baI6IuBgmn6ewn109kAngJ+qeEaWc9IehPw78Bu4GSRuPdTv47Xl/vXpudby8ysMjxoYWaV4YBnZpXhgGdmleGAZ2aV4YBnZpXhgGdmleGAZ2aV8f+oyE+z24T5dQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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93chW08xGU0SxbTwo8m7MN4H5FWmXAXdFxCyyGV2rFk8xs3YlorfYNh40DIIRcS/ZlDR5+TUBVgHnNrdaZtZSUXAbB4Z6T3BqROxM+08DU+tlTGsOLAU48aQjh3g5Mxs1Ua6BkWFPFZFmgK3734SIWBERcyNi7gmTDx/u5cxsNJSoJTjUILirbxrr9Hd386pkZq2ngluBkpq8+Ho69ruSHkrn/KPS9NJDGbQdahDMrwmwGLh9iOWY2VjUW3BrYAQXX/8G8J+AWWnrG7wd9KBtkUdkbgF+BrxV0nZJS4AvAh+S9DjwR+mzmY0Hfc8JFtkaa/ri66n3eWxE/DzdjvtnXhucHfSgbcOBkYhYVOfQvEbnmll7auIzgLUWX393vTxpYaa+xdf3DFDm9ooy+xZ0Lzxo28dvjJhZteJBcIqkTbnPKyJiRfMrNHgREZIafhMHQTOrVvwRmT0RMXeA44NZfH17wcXXd6RyapW5S9KJEbGz6KBteVZTMbPCFMW2Apq++Hrq7r4g6T1pVPjPeG1wdtCDtm4Jmll/IWjSK3Ejsfh6RDwC/CXZK71HAT9MG2SDtLemAdwngQsa1dFB0MyqjfHF1yNiE/C2Gul7GeSgrYOgmVUbJ2+DFOEgaGbVHAStrN66pdU1KO6UAsN6/37KyNdj3CnZpKoOgmZWpeDI77jgIGhm1RwEzazM3BI0s3LzPUEzK61xNGFqEQ6CZlbNQdDMykwFJkwdLxwErW35GcAR5JagmZXVIGaIGRccBM2smkeHzazU3BI0szJzd9jMyis8OmxmZVeilqDXGDGzalFwK0DSfElbJHVJqloMXdIRktak4xskzcgduzylb5F0Vkp7q6QHctsLkj6djl0paUfu2DmN6ueWoJlVadY9QUkdwHXAh8jWB94oqTOtE9JnCfBsRJwsaSFwNfBxSbPJ1hs5DXgj8GNJp0TEFmBOrvwdwG258q6JiC8XraNbgmY2ks4AuiJia0QcBFYDCyryLABWpf21wLy0itwCYHVEHIiIJ4CuVF7ePODXEfHkUCvoIGhm1Yp3h6dI2pTbllaUNA14Kvd5e0qrmSciuoHngckFz10I3FKRtkzSg5JWSnpdo6/qIGhm/aXR4SIbafH13LZitKqZ1jH+KPDtXPI3gLeQdZd3Al9pVI6DoJlVa97AyA5geu7zSSmtZh5JE4DjgL0Fzj0buD8idh2qdsSuiOiJiF7geqq7z1UcBM2sH/Ha+8ONtgI2ArMkzUwtt4VAZ0WeTmBx2j8PuDsiIqUvTKPHM4FZwC9y5y2ioiss6cTcx48BDzeqoEeHzaxak0aHI6Jb0jJgPdABrIyIzZKWA5siohO4EbhJUhewjyxQkvLdCjwCdAOXRkQPgKSjyUacL6m45JckzUnfYFuN41UcBM2svybPIhMR64B1FWlX5PZfAc6vc+5VwFU10l8iGzypTL9osPVzEDSzan5tzszKzBMojJDdO4/ia194+2he0nLeuqXVNShuy1sb5zl95KtRXiUKgg1Hh9MDh7slPZxLG/T7eWbWJoo+HjNOAmWRR2S+CcyvkX5NRMxJ27oax82sTTXxEZkxr2EQjIh7yYatzaws3BIspND7eZKW9r1X+PLLLw/jcmY2Wgbx2lzbG2oQLPx+XkSs6Huv8Kijjhri5cxs1PieYGNDeT/PzNqDBrGNB0MKgkN5P8/M2kiJWoINnxOUdAvwfrJ5w7YDfwe8f7Dv55lZ+xgvI79FNAyCEbGoRvKNI1AXG2FFHkAerQeqi9TFWshB0MxKy0tumlnpuSVoZmXme4JmVm4OgmZWZmVqCXqNETPrL8gmVS2yFSBpvqQtkrokXVbj+BGS1qTjGyTNyB27PKVvkXRWLn2bpIfSLFabcuknSLpT0uPpr5fcNLPBaeZCS5I6gOvIVoabDSySNLsi2xLg2Yg4GbgGuDqdO5tsvZHTyGay+noqr88H0ixWc3NplwF3RcQs4K70eUAOgmZWrXlvjJwBdEXE1og4CKwGFlTkWQCsSvtrgXmSlNJXR8SBiHgC6KLxK7r5slYB5zaqoIOgmVVRRKGN7E2yTbltaUVR04Cncp+3p7SaeSKiG3iebBGlgc4N4A5J91Vcc2pE7Ez7TwNTG31XD4yYWX+Dey94T0V3dLS8LyJ2SHoDcKekx9Lcp4dEREiNO+1uCZpZlSbOLL0DmJ77fFJKq5lH0gTgOGDvQOdGRN/f3cBtvNZN3tU3wUv6u7tRBR0EzaxKEydV3QjMkjRT0kSygY7OijydwOK0fx5wd0RESl+YRo9nArOAX0g6WtIkOLQI+5m8NpNVvqzFwO2NKujusJlVa9JzghHRLWkZsB7oAFZGxGZJy4FNEdFJNiHLTZK6yJbyWJjO3SzpVuARoBu4NCJ6JE0FbsvGTpgA3BwRP0qX/CJwq6QlwJPABY3q6CBoZv01eRGltBDbuoq0K3L7rwDn1zn3KuCqirSt1FlxNSL2AvMGUz8HQTOrVqI3RhwEzayfvoely8JBsA2cfurTo3exU0fnMjX7MjZmqLc8UdBB0Mz6G0frhxThIGhmVTyztJmVm1uCZlZmHhgxs/IKIMoTBR0EzayK7wmaWWn5OUEzK7cId4fNrNzcEjSzcnMQNLMyc0vQzMorgJ7yREEHQTOr4pagmZVbiUaHvcaImVVp4kJLSJovaYukLklVi6GnNUTWpOMbJM3IHbs8pW+RdFZKmy7pHkmPSNos6a9y+a+UtEPSA2k7p1H93BI0s/6aOJWWpA7gOuBDZOsGb5TUGRGP5LItAZ6NiJMlLQSuBj4uaTbZeiOnAW8EfizpFLL1Rv46Iu5PCy7dJ+nOXJnXRMSXi9bRQdCsgd5nn2t1FQqLnp5hlyFAzRsYOQPoSuuCIGk1sIBs8aQ+C4Ar0/5a4FplqygtAFZHxAHgibQQ0xkR8TNgJ0BE7Jf0KNmi7PkyC3N32MyqKKLQBkyRtCm3La0oahrwVO7z9pRWM09EdAPPA5OLnJu6zu8ENuSSl0l6UNJKSa9r9F0bBsF6/W9JJ0i6U9Lj6W/Di5lZG4hBbLAnIubmthWjVU1JxwDfAT4dES+k5G8AbwHmkLUWv9KonCItwb7+92zgPcClqa9+GXBXRMwC7kqfzaztxWvvDzfaGtsBTM99Piml1cwjaQJwHLB3oHMlHU4WAL8VEd89VPOIXRHRExG9wPVk3fEBNQyCEbEzIu5P+/uBvv73AmBVyrYKOLdRWWbWHpo4OrwRmCVppqSJZAMdnRV5OoHFaf884O6IiJS+MI0ezwRmAb9I9wtvBB6NiH/oV2/pxNzHjwEPN6rgoAZGKvrfUyNiZzr0NDC1zjlLgaUAx0yaNJjLmVmrNOk5wYjolrQMWA90ACsjYrOk5cCmiOgkC2g3pYGPfWSBkpTvVrIBj27g0ojokfQ+4CLgIUkPpEt9Ni3y/iVJc8g669uASxrVsXAQrOx/Z8H40BcNqfZ/F9I9ghUAb5g6tTxPYJq1q2jq6DApOK2rSLsit/8KcH6dc68CrqpI+ynZIHat/BcNtn6FRofr9L939TU909/dg724mY1RxQdG2l6R0eF6/e98P34xcHvzq2dmrTCIR2TaXpHu8Hup0f8GvgjcKmkJ8CRwwYjU0MxG3zgJcEU0DIID9b+Bec2tjpm1XABeaMnMykqMn65uEQ6CZlattzxNQQdBM+vP3WEzKzt3h82s3BwEzay8vPi6mZWZV5szs7LzPUEzKzcHQTMrrQB6HQTNrLQ8MGJmZecgaGalFUBPeV4Z8ZKbZlYhIHqLbQVImi9pi6QuSVULsqU1RNak4xvSMh59xy5P6VskndWozLSWyYaUviatazIgB0Ezq9ak1eYkdQDXAWcDs4FFabXKvCXAsxFxMnANcHU6dzbZeiOnAfOBr0vqaFDm1cA1qaxnU9kDchA0s/76RoeLbI2dAXRFxNaIOAisJlupMi+/cuVaYF6a0X4BsDoiDkTEE0BXKq9mmemcD6YyoOAqmA6CZlateEtwiqRNuW1pRUnTgKdyn7entJp5IqIbeB6YPMC59dInA8+lMupdq4oHRsysWvHR4T0RMXckqzLSHATNrL8I6OlpVmk7gOm5zyeltFp5tkuaABwH7G1wbq30vcDxkiak1mCta1Vxd9jMqjVpYATYCMxKo7YTyQY6Oivy5FeuPA+4OyIipS9Mo8czgVnAL+qVmc65J5UBBVfBdEvQzKo16WHpiOiWtAxYD3QAKyNis6TlwKaI6CRb0vcmSV3APrKgRsp3K/AI0A1cGhE9ALXKTJf8DLBa0ueBX6ayB+QgaGYVCo/8FistYh2wriLtitz+K8D5dc69CriqSJkpfSvZ6HFhDoJm1l9AFHwQejxwEDSzaiV6bc5B0Mz6i/CSm2ZWcp5FxszKLNwSNLPy8qSqZlZmnl7fzMosgGjea3NjnoOgmfUXUXjC1PHAQdDMqoS7w2ZWaiVqCSpGcRRI0jPAk7mkKcCeUavA8LVTfduprtBe9R3LdX1TRLx+OAVI+hHZdyxiT0TMH871Wm1Ug2DVxaVN7TQhYzvVt53qCu1V33aqqzXm+QTNrNQcBM2s1FodBFe0+PqD1U71bae6QnvVt53qag209J6gmVmrtbolaGbWUg6CZlZqLQuCkuZL2iKpS9JlrapHEZK2SXpI0gOSNrW6PpUkrZS0W9LDubQTJN0p6fH093WtrGNenfpeKWlH+o0fkHROK+vYR9J0SfdIekTSZkl/ldLH7O9rg9OSICipA7gOOBuYDSySNLsVdRmED0TEnDH6fNg3gcoHVi8D7oqIWcBd6fNY8U2q6wtwTfqN56SFdMaCbuCvI2I28B7g0vRvdSz/vjYIrWoJngF0RcTWiDgIrAYWtKgubS8i7iVbqjBvAbAq7a8Czh3NOg2kTn3HpIjYGRH3p/39wKPANMbw72uD06ogOA14Kvd5e0obqwK4Q9J9kpa2ujIFTY2InWn/aWBqKytT0DJJD6bu8pjrXkqaAbwT2EB7/r5WgwdGinlfRLyLrPt+qaQ/bHWFBiOy56DG+rNQ3wDeAswBdgJfaWltKkg6BvgO8OmIeCF/rE1+X6ujVUFwBzA99/mklDYmRcSO9Hc3cBuDXNy5RXZJOhEg/d3d4voMKCJ2RURPZAveXs8Y+o0lHU4WAL8VEd9NyW31+1p9rQqCG4FZkmZKmggsBDpbVJcBSTpa0qS+feBM4OGBzxoTOoHFaX8xcHsL69JQX0BJPsYY+Y0lCbgReDQi/iF3qK1+X6uvZW+MpEcgvgp0ACsj4qqWVKQBSW8ma/1BNv/izWOtrpJuAd5PNv3RLuDvgO8BtwK/QzZ92QURMSYGI+rU9/1kXeEAtgGX5O65tYyk9wE/AR4C+ibZ+yzZfcEx+fva4Pi1OTMrNQ+MmFmpOQiaWak5CJpZqTkImlmpOQiaWak5CJpZqTkImlmp/X8f3Rk4sieEvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(features)):\n",
    "    plt.title(features[i])\n",
    "    im = plt.imshow(attr_fine[0,0,i,:,:])\n",
    "    plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.cool, interpolation='none', alpha=0.2)\n",
    "    plt.imshow(inputs[0,0,i,:,:], alpha = 0.25)\n",
    "    plt.colorbar(im)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "representative-music",
   "metadata": {},
   "source": [
    " We compare the average of the values within the active windows with the average outside them. Below the results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "apart-alabama",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jupyter-iprapas/.virtualenvs/python38/lib/python3.8/site-packages/numpy/core/fromnumeric.py:3372: RuntimeWarning: Mean of empty slice.\n",
      "  return _methods._mean(a, axis=axis, dtype=dtype,\n"
     ]
    }
   ],
   "source": [
    "pos = []\n",
    "neg = []\n",
    "idx = features.index(\"era5_max_tp\")\n",
    "\n",
    "for i in range(10):\n",
    "    pos.append(np.mean(inputs[0,i,idx,:,:][(attr_fine[0,0,idx,:,:]>0.1) & (inputs[0,i,idx,:,:]!=1)].cpu().detach().numpy()))\n",
    "    neg.append(np.mean(inputs[0,i,idx,:,:][(attr_fine[0,6,idx,:,:]<0.1) & (inputs[0,i,idx,:,:]!=1)].cpu().detach().numpy()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "fitting-validity",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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OAH4BXB4Rf0ibtwL9JXVP90ZGAJuK+FnMzKwFFHM46wfAZOCz6fwu4D+a8d5LgbqrAM8GljTskJ5xdQ/wk4ioG/8gvQDkw8BZB1vfzMxaVzEhckJEfJH0+yIRsZ1kjCKrecBpktYC09J5JJVJuintUw6cDJwnaWX6KE2XXQZ8TdI6kjGSm5tRi5mZZVDM4axaSd2AAJA0GPhb1jeOiK3A1ALtVcAF6fQdwB2NrP8SMCnr+5uZWfMVsydyA8mhpXdK+hbwOw6866GZmXUxTd4TiYg7JS0n2XsQMCMinmu1yszMrN0r6lLwEfE88Hwr1WJmZh2Mb29rZmaZOUTMzCwzh4iZmWXmEDEzs8wcImZmlplDxMzMMnOImJlZZg4RMzPLzCFiZmaZOUTMzCwzh4iZmWXmEDEzs8xyCxFJAyU9KGlt+jygQJ9SSY9JWiNplaRZ9ZbdJml9gZtVmZlZG8lzT2QuUBkRo4DKdL6h14FzI2IMcAZwvaT+9ZbPiYjS9LGytQs2M7MD5Rki04EF6fQCYEbDDhHxx4hYm05vBl4FBrdVgWZmdnB5hsiQiKhJp18Ghhyss6RJJPd0f7Fe87fSw1zzJR12kHUvklQlqWrLli3NLtzMzBKtGiKSHpK0usBjev1+ERGk925v5HWGArcDn4uIuvu6fwM4FjgeGAhc1tj6EVEREWURUTZ4sHdkzDq9VYtg/li4qn/yvGpR3hV1WkXd2bBYETGtsWWSXpE0NCJq0pB4tZF+RwC/AC6PiD/Ue+26vZg3JN0KXNqCpZtZR7VqEdx3CdTuTuZ3bkzmAcaX51dXJ5Xn4aylwOx0ejawpGEHST2Be4CfRMTiBsuGps8iGU9Z3ZrFmlkHUXn1/gCpU7s7abcWl2eIzANOk7QWmJbOI6lM0k1pn3LgZOC8Aqfy3inpGeAZ4Ejg39q0ejNrn3ZWF9duzdKqh7MOJiK2AlMLtFcBF6TTdwB3NLL+qa1aoJl1TP1GJIewCrVbi/M31s2sc5l6JfTodWBbj15Ju7U4h4iZdS7jy+HMG6DfUYCS5zNv8KB6K8ntcJaZWasZX+7QaCPeEzEzs8wcImZmlplDxMzMMnOImJlZZg4Rs87A14qynPjsLLOOzteKshx5T8Sso/O1oixHDhGzjs7XirIcOUTMOrrGrgnla0VZG3CImHV0vlaU5cghYtbR+VpRliOfnWXWGfhaUZaT3EJE0kBgITAS2ACUR8T2Bn3eTXJnw3cAPYDvR8SN6bKJwG1AL+B+4CvpvdqLVltbS3V1NXv27Mn0s1jjDj/8cEaMGEGPHj3yLsXMWkGeeyJzgcqImCdpbjp/WYM+NcCHIuINSX2A1ZKWRsRm4EfAhcDjJCFyBvDfWQqprq6mb9++jBw5kuRuu9YSIoKtW7dSXV1NSUlJ3uWYWSvIc0xkOrAgnV5Acp/0A0TEmxHxRjp7GGm96f3Vj4iIP6R7Hz8ptH5T7dmzh0GDBjlAWpgkBg0a5D08s04szxAZEhE16fTLwJBCnSQdJWkVsBG4Nt0LGQ7UPwm+Om3LzAHSOrxdzTq3Vj2cJekh4F0FFl1efyYiQlLB8YyI2AiMlzQMuFfS4gx1XARcBHD00UcXu7qZmTWiVUMkIqY1tkzSK5KGRkRNenjq1UO81mZJq4GTgN8D9b9JNQLYdJB1K4AKgLKyskyD7+3FsmXL6NmzJx/+8IcBuPHGG+nduzfnnntuzpWZWVeU58D6UmA2MC99XtKwg6QRwNaI2C1pAPARYH4aPH+VNJlkYP1c4PttVfi9KzZx3QMvsHnHbob178Wc049hxnHNOprWZMuWLaNPnz77QuTiiy9uk/c1MyskzzGRecBpktYC09J5JJVJuintMxp4XNLTwG+A70TEM+my/wXcBKwDXiTjmVnFunfFJr5x9zNs2rGbADbt2M037n6Ge1c0uiPUJDNmzGDixImMGTOGiooKAH75y1/ywQ9+kAkTJjB16lQ2bNjAjTfeyPz58yktLeW3v/0tV111Fd/5znd4/vnnmTRp0r7X27BhA+PGjQNg+fLlnHLKKUycOJHTTz+dmpqagjWYmRUrtz2RiNgKTC3QXgVckE4/CIxvZP0qYGxr1ljIdQ+8wO7atw5o2137Ftc98EKz9kZuueUWBg4cyO7duzn++OOZPn06F154IY888gglJSVs27aNgQMHcvHFF9OnTx8uvfRSACorKwE49thjefPNN1m/fj0lJSUsXLiQWbNmUVtby5e//GWWLFnC4MGDWbhwIZdffjm33HJL9o1gZpbyN9aLtHnH7qLam+qGG27gnnvuAWDjxo1UVFRw8skn7/t+xcCBAw/5GuXl5SxcuJC5c+eycOFCFi5cyAsvvMDq1as57bTTAHjrrbcYOnRos2o1M6vjECnSsP692FQgMIb171Wgd9MsW7aMhx56iMcee4zevXszZcoUSktLef7554t6nVmzZvHpT3+amTNnIolRo0bxzDPPMGbMGB577LHM9ZmZNcYXYCzSnNOPoVePbge09erRjTmnH5P5NXfu3MmAAQPo3bs3zz//PH/4wx/Ys2cPjzzyCOvXrwdg27ZtAPTt25ddu3YVfJ33vve9dOvWjWuuuYZZs2YBcMwxx7Bly5Z9IVJbW8uaNWsy12pmVp9DpEgzjhvOt2eOY3j/XggY3r8X3545rlnjIWeccQZ79+5l9OjRzJ07l8mTJzN48GAqKiqYOXMmEyZM2BcKZ555Jvfcc8++gfWGZs2axR133EF5eXIxvp49e7J48WIuu+wyJkyYQGlpKY8++mjmWs3M6lPGaxZ2WGVlZVFVVXVA23PPPcfo0aNzqqjz8/Y16/gkLY+Isobt3hMxM7PMHCJmZpaZQ8TMzDJziJiZWWYOETMzy8whYmZmmTlEbJ8dO3bwwx/+cN/85s2bOeuss3KsyMzaO4dIFqsWwfyxcFX/5HnVorwrahENQ2TYsGEsXlz0PcDMrAtxiBRr1SK47xLYuRGI5Pm+S5odJBs2bGD06NFceOGFjBkzho9+9KPs3r2blStXMnnyZMaPH88nP/lJtm/fDsCUKVO47LLLmDRpEu9///sLfnsd4Mc//jHHH388EyZM4FOf+hSvv/46AK+88gqf/OQnmTBhAhMmTODRRx9l7ty5vPjii5SWljJnzhw2bNjA2LHJhZInT558wOVSpkyZQlVVFa+99hqf//znmTRpEscddxxLlrzttjBm1ok5RIpVeTXUNrgAY+3upL2Z1q5dyxe/+EXWrFlD//79ueuuuzj33HO59tprWbVqFePGjeOb3/zmvv579+7liSee4Prrrz+gvb6ZM2fy5JNP8vTTTzN69GhuvvlmAC655BJOOeUUnn76aZ566inGjBnDvHnzeO9738vKlSu57rrrDnidWbNmsWhREpQ1NTXU1NRQVlbGt771LU499VSeeOIJHn74YebMmcNrr73W7G1hZh2DQ6RYO6uLay9CSUkJpaWlAEycOJEXX3yRHTt2cMoppwAwe/ZsHnnkkX39Z86cua/vhg0bCr7m6tWrOemkkxg3bhx33nnnvr2JX//613zhC18AoFu3bvTr1++gtZWXl+87tLVo0aJ9YyW/+tWvmDdvHqWlpUyZMoU9e/bw5z//OdsGMOtMOulh74ZyuxS8pIHAQmAksAEoj4jtDfq8G7iHJOx6AN+PiBvTZcuAoUDdbsFHI+Kg92nP7PVtsKsG3noT+rwT/t8rb+/Tb8Tb24p02GGH7Zvu1q0bO3bsaFL/bt26sXfvXgA+97nPsWLFCoYNG8b999/Peeedx7333suECRO47bbbWLZsWabahg8fzqBBg1i1ahULf3YnN357LmxeQdTu5q47buGY0hMyvW5mqxYle387q5NtP/VKGF/etjXY2/lzSdQd9q47alF32Bvafnu08meS557IXKAyIkYBlel8QzXAhyKiFDgBmCtpWL3lZ0dEafpovQDZuTEJEIDjL4Duhx3Yp0ev5INpYf369WPAgAH7xjtuv/32fXsljbn11ltZuXIl999/PwC7du1i6NCh1NbWcuedd+7rN3XqVH70ox8ByY2qdu7cedDLzENySOt///s17Ny+lfHHJDfLOv3kE/j+9+YTr20FYMWKFdl/4KZqpXEpayZ/Lvu14mHvorTBZ5JniEwHFqTTC4AZDTtExJsR8UY6exh51LurBuJv++dHnQYnXQp9hgCCfkfBmTe02l8XCxYsYM6cOYwfP56VK1dy5ZXFhdU111zDCSecwIknnsixxx67r/173/seDz/8MOPGjWPixIk8++yzDBo0iBNPPJGxY8cyZ86ct73WWWedxc8X30P5mafta7viny6ktraW8WUfYsyYMVxxxRXZf9imai//Qe1A/lz2a8XD3kVpg88kt0vBS9oREf3TaQHb6+Yb9DsK+AXwPmBORPwgbV8GDALeAu4C/i0a+WEkXQRcBHD00UdP/NOf/nTA8oNeqnzzQf6yHnZc48s6qwzbo8UvBX9Vf6DQRy24akfLvY8Vx5/LfvPHpn/9N9DvKPjq6rarowU/k1wuBS/pIUmrCzym1++X/vIvGAARsTEixpOEyGxJQ9JFZ0fEOOCk9HFOY3VEREVElEVE2eDBg4v7Ibr1LK69s2sP26Ox8acWGJeyZvDnst/UK5PD3PW10mHvg2qDz6RVQyQipkXE2AKPJcArkoYCpM8HHdOIiM3AapLAICI2pc+7gJ8Ck1rlh+g7FNRgM+kdSXtX1B62R3v5D2oH8uey3/jy5DB3v6Noi8PejWqDzyS3s7OApcBsYF76/LZvqUkaAWyNiN2SBgAfAeZL6g70j4i/SOoBfAJ4qDnFRATJUbUGeg9MnuvOzurWM/mFWdfe1RS5PVrlcGndf0SfBdS++HM50Pjy/H/2NvhM8hwTGQQsAo4G/kRyiu82SWXAxRFxgaTTgO+SHOoS8B8RUSHp74BHSE777UYSIF+LiLcO9b6Fbo+7fv16+vbty6BBgwoHiWUSEWzdupVdu3ZRUlKSdzlm1gyNjYn4HutAbW0t1dXV7NmzJ6eqOq/DDz+cESNG0KNHj7xLMbNmaCxE8jyc1W706NHDfymbmWXgy56YmVlmDhEzM8vMIWJmZpl1uYF1SVtIzgbL4kjgLy1YTkfn7bGft8WBvD326yzb4t0R8bZva3e5EGkOSVWFzk7oqrw99vO2OJC3x36dfVv4cJaZmWXmEDEzs8wcIsWpyLuAdsbbYz9viwN5e+zXqbeFx0TMzCwz74mYmVlmDhEzM8vMIdIEks6Q9IKkdZIK3Qu+y5B0lKSHJT0raY2kr+RdU3sgqZukFZL+K+9a8iSpv6TFkp6X9JykD+VdU54kfTX9f7Ja0s8kHZ53TS3NIXIIkroBPwA+BnwA+KykD+RbVa72Av8cER8AJgNf7OLbo85XgOfyLqId+B7wy4g4FphAF94mkoYDlwBlETGW5LYVn8m3qpbnEDm0ScC6iHgpIt4Efg5MP8Q6nVZE1ETEU+n0LpJfEsPzrSpf6c3TPg7clHcteZLUDzgZuBkgIt6MiB25FpW/7kCv9EZ6vYHNOdfT4hwihzYc2Fhvvpou/kuzjqSRwHHA4zmXkrfrga8Df8u5jryVAFuAW9NDezelN5DrktJbeH8H+DNQA+yMiF/lW1XLc4hYJpL6AHcB/xQRf827nrxI+gTwakQsz7uWdqA78EHgRxFxHPAa0GXHENNbek8nCddhwN9J+p/5VtXyHCKHtgk4qt78iLSty0rva38XcGdE3J13PTk7EfgfkjaQHOo8VdId+ZaUm2qgOiLq9kwXk4RKVzUNWB8RWyKiFrgb+HDONbU4h8ihPQmMklQiqSfJwNjSnGvKjZKb0N8MPBcR/yfvevIWEd+IiBERMZLk38avI6LT/bXZFBHxMrBR0jFp01Tg2RxLytufgcmSeqf/b6bSCU808O1xDyEi9kr6EvAAydkVt0TEmpzLytOJwDnAM5JWpm3/EhH351eStSNfBu5M/+B6CfhczvXkJiIel7QYeIrkrMYVdMJLoPiyJ2ZmlpkPZ5mZWWYOETMzy8whYmZmmTlEzMwsM4eImZll5hAxy4GkqyRdmncdZs3lEDEzs8wcImZtRNLlkv4o6XfAMWnbhZKelPS0pLvSbzf3lbQ+vbwMko6oP2/WnjhEzNqApIkkl0UpBf4BOD5ddHdEHB8RdffeOD+9xP4yksvLk653d3r9JbN2xSFi1jZOAu6JiNfTqx7XXX9trKTfSnoGOBsYk7bfxP5LhnwOuLVNqzVrIoeIWb5uA74UEeOAbwKHA0TE74GRkqYA3SJidV4Fmh2MQ8SsbTwCzJDUS1Jf4My0vS9Qk453nN1gnZ8AP8V7IdaO+QKMZm1E0uXAbOBVksuEP0Vy46avk9wR8HGgb0Scl/Z/F7AeGOrbzFp75RAxa6cknQVMj4hz8q7FrDG+n4hZOyTp+8DHSM7kMmu3vCdiZmaZeWDdzMwyc4iYmVlmDhEzM8vMIWJmZpk5RMzMLLP/D/p02tDvGnkwAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.xlabel(\"day\")\n",
    "plt.ylabel(\"era5_max_tp\")\n",
    "plt.scatter(range(10), pos, label = \"active\")\n",
    "plt.scatter(range(10), neg, label = \"non-active\")\n",
    "plt.legend(loc=\"lower left\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "changed-strengthening",
   "metadata": {},
   "source": [
    "# GradCAM\n",
    "\n",
    "Gradient-weighted Class Activations Mapping (GradCAM) gives a coarse saliency map highlighting the patterns learned by the model. The importance map is obtained by weighting the activations of the hidden layers for a specified block of the DL architecture. \n",
    "For the last convolutional block of the model we find: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "still-throat",
   "metadata": {},
   "outputs": [],
   "source": [
    "config = {\n",
    "    \"model\": model,\n",
    "    \"instance\": inputs,\n",
    "    \"burned_area\": example_ds.burned_areas[-1],\n",
    "    \"value_loss\": loss, \n",
    "    \"pred_proba\": preds_proba, \n",
    "    \"y\": target, \n",
    "    \"method\": \"gradcam\",\n",
    "    \"avg_grad\": True,\n",
    "    \"features\": features,\n",
    "    \"classes\": classes,\n",
    "    \"layer\": model.model.conv1,\n",
    "    \"plot_feature\": True,\n",
    "    \"plot_gradient\": True,\n",
    "    \"plot_overlay\": True,\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "productive-bubble",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "am = ActivationMaps(config)\n",
    "pix_attr, loss = am.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "laden-dining",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "im = plt.imshow(pix_attr[0,0,:,:].cpu().detach().numpy())\n",
    "plt.colorbar(im)\n",
    "plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.cool, interpolation='none', alpha=0.25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "crucial-spokesman",
   "metadata": {},
   "source": [
    "Given the above saliency map we can disentangle negative and positive patterns as follows: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "spatial-nevada",
   "metadata": {},
   "outputs": [],
   "source": [
    "q3, q1 = np.percentile(pix_attr[0,0,:,:][pix_attr[0,0,:,:]!=0].flatten().cpu().detach().numpy(), [95, 5])\n",
    "maskpos = torch.zeros((25, 25), dtype = torch.float64)\n",
    "maskneg = torch.zeros((25, 25), dtype = torch.float64)\n",
    "maskpos[pix_attr[0,0,:,:]>q3]=1\n",
    "maskneg[pix_attr[0,0,:,:]<q1] = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "enormous-ireland",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Positive GradCAM with Burned Area overlayed\")\n",
    "plt.imshow(maskpos)\n",
    "plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.cool, interpolation='none', alpha=0.25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "subjective-efficiency",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Negative GradCAM with Burned Area overlayed\")\n",
    "plt.imshow(maskneg)\n",
    "plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.cool, interpolation='none', alpha=0.25)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "otherwise-concentrate",
   "metadata": {},
   "source": [
    "# Vanilla Gradients \n",
    "\n",
    "In order to get activations map per each channel we can compute the gradients with respect to the inputs as below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "objective-interval",
   "metadata": {},
   "outputs": [],
   "source": [
    "config = {\n",
    "    \"model\": model,\n",
    "    \"instance\": inputs,\n",
    "    \"burned_area\": example_ds.burned_areas[-1],\n",
    "    \"value_loss\": loss, \n",
    "    \"pred_proba\": preds_proba, \n",
    "    \"y\": target, \n",
    "    \"method\": \"gradient\",\n",
    "    \"avg_grad\": True,\n",
    "    \"features\": features,\n",
    "    \"classes\": classes,\n",
    "    \"layer\": model.model.conv1,\n",
    "    \"plot_feature\": True,\n",
    "    \"plot_gradient\": True,\n",
    "    \"plot_overlay\": True,\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "convenient-penny",
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "am = ActivationMaps(config)\n",
    "grad, loss = am.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "stretch-cattle",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vnJv8vPW8nHc5cs41ma6X3ik8aDrn6vgcQeU8aDrn6hhQ9TPNQh40nXNN/PK8mAdN51y9afy0TwoPms65OmMchHja8aDpnGviZ5rFJl3QXPaW8p7Rj/QfFy8koeP6HPqjeQZnRHpGD8c7PSthqNzdh2aWrj9x4b5oGd3VeMfpNx/3Srwu1dml689a+JNoGRuHT43msc7yn5Hti381Ow/Fj20lPu4yHbXI/buO+H46B+N5OoZG4nl27S9dXxsYLC8goSN+TJsHIT7mTLqg6ZybWIaoxv6QTGN+ZJxzTWooaUkhaYWkLZL6JF3dYn23pDvD+g2STsutuyakb5F0QaxMSVeFNJO0OJf+Pkl7JT0almtjZRXxM03nXD1r3+W5pApwM/DLZFPtPiyp18w257JdDuw2s2WSVgE3AL8maTnZ1Bdnks0R9G+S3hS2KSrzQeBfge+0qM73zOw/H0b96viZpnOuzug9zTYNQnwu0GdmW81sCFgHrGzIsxK4Lby+GzhP2UhAK4F1ZjZoZs8BfaG8wjLN7BEze34MHzelfnU8aDrnmrQxaC4BXsy93xbSWuYxsyqwF1hUsm1Kma38vKQfS/qmpDPHUL86fnnunKtjiJH0hqDFkjbm3t8SZmuYbP4dONXMDkj6EPB1simBx8yDpnOuyRg6t++ITN29HTgl9/7kkNYqzzZJncB8YGdk21iZdcxsX+71ekmfCw1FKfWr45fnzrk6Zm29PH8Y6JG0VFIXWcNOb0OeXuCy8Ppi4H4zs5C+KrSuLyU7M3woscw6kk4K90mRdC5Z7Nt5OGWN75lmzdBgeefcbT84oXT9nNcl/KBG4h189wzOj+bpOlC+r+qhGdEyrCs+pHe/ysvZzEnRMqrPl3eQB9h18qxontqLc0rXb9x7WrSM7pfiX6tq+W4Ynp3QcT1hJHpL6Jiu4fLRzke6Eka8H0rYT398pH+Gh0tX97ytfEbXp7e3Z+R2a1PruZlVJV0F3ANUgLVmtknS9cBGM+sFbgVul9QH7CILXIR8dwGbgSpwpZmNQNa1qLHMkP4x4BPAScBjktab2RVkwfj3JVWBfmBVCMwt61f2mfzy3DnXoL0DdpjZemB9Q9q1udcDwCUF264B1qSUGdJvAm5qkf5Z4LOp9SvjQdM516RdZ5rHIg+azrk6ZjBS86BZxIOmc66JDw1XzIOmc66O4ZfnZTxoOuca+MjtZTxoOueatGFYzmPW+AbNkRFsb/mAum9dtK10fXVepIMf8MyT8YGKZxxM6GPZXX54qvvjzwYMLYj/xa5Guk8O9cf7eo7Mi+9Hg5FBlQE7sbyfYEfKZ453geW458v7Ew4lfJ55L8YHXh46Ll7fWuTwDs+O12Xm/oTjPxDvp3n6sh3lGRL6g7aDX54X8zNN51ydrPXcHxYs4kHTOdfEL8+LedB0zjXxy/NiHjSdc3UMedAs4UHTOdfEr86LedB0ztUzMH+MspAHTedcE788L+ZB0znXxFvPi41r0DQzapFBVjsO9peu70wYY7XSHx9sN4V1lnee7pgVP3y1znjH9Ep/eTmH5sQ7pXcejJ8ZjMR6cQMzIuXMfin+A+iweJ5Z28t/ztVls6NlHDg5/oDC0BkD0TzdXeWdzoeHEwZV3hofBHrGnvhDF1t/Uv4zOmPxc9EyjpQ/e17OzzSdc/UM8KBZKNrtX9JaSa9KeiKXtlDSvZKeCf8vOLrVdM6NJ7O0JYWkFZK2SOqTdHWL9d2S7gzrN0g6LbfumpC+RdIFsTIlXRXSLEycNpr+G5Iek/S4pO9Lentu3fMh/dGGmTVbSnlW6ovAioa0q4H7zKwHuC+8d84dE4TV0pZoSVIFuBm4EFgOXCppeUO2y4HdZrYMuBG4IWy7nGy+oDPJYtDnJFUiZT4IfBB4oWEfzwHvNbOzgE8DjdMMv9/Mzo7MrAkkBE0z+y7ZZEd5K4HbwuvbgIti5TjnphBLXOLOBfrMbKuZDQHryOJHXj6e3A2cF2aOXAmsM7NBM3sO6AvlFZZpZo+Y2fNNH8fs+2a2O7z9IdlUvYflcJ/KP9HMXgqvXwZOLMooabWkjZI2Dg7Gb8o75yaYZQ1BKQuwePT3OyyrG0pbAryYe78tpLXMY2ZVYC+wqGTblDLLXA58s/4T821JP2pR/yZH3BBkZiap8G+Omd1COBVetPAE78jg3FSQ/pu6I+WSdrKQ9H6yoPmeXPJ7zGy7pNcB90p6Klxht3S4Z5qvSHp9qMTrgVcPsxzn3KSkxCVqO3BK7v3JIa1lHkmdwHxgZ8m2KWU2fyLpbcA/AivNbOdoupltD/+/CnyN7PK/0OEGzV7gsvD6MuAbh1mOc24yqiUucQ8DPZKWSuoia9jpbciTjycXA/ebmYX0VaF1fSnQAzyUWGYdSW8Evgr8lpk9nUufI2ne6GvgfOCJ1qVkopfnku4A3kd272IbcB3wGeAuSZeTtVL9aqyc18RO+6sj5ZsPxUe/7unZE82zZfvronmolB+ejuH4t0YkjBAfOSgdCbeCK/0JdUnoI2KRzvhD8+N/Zy3hpk/nwfLO4KaEzvrxQ8sbT9gdzTPLyr9TQxZ/KODZnW+I5hlcFH9IYfbB8oc/+l4obD4AYGCwDV2v29hP08yqkq4C7gEqwFoz2yTpemCjmfUCtwK3S+oja3ReFbbdJOkuYDNQBa40sxHIuhY1lhnSPwZ8AjgJeEzSejO7AriW7D7p57I2JqrhtsKJwNdCWifwZTP7Vtlnih5hM7u0YNV5sW2dc1NTOx+jNLP1wPqGtGtzrweASwq2XQOsSSkzpN8E3NQi/QrgihbpW4G3N6aX8SeCnHPNvMm2kAdN51wzf4yykAdN51yT4k6EzoOmc66eCXwQ4kIeNJ1zzfxMs5AHTedcMw+ahTxoOueaedAsNP5BM3KrpDY0WLo+5REmdcU7EVst3hl8pLP8mxPrCJ4VUt5ZH6BzsLwunV3xTz1zTzzP4IL4farlm8vXD8+L76c2I35s57xSXpehgfhvbXVOPM/Bs6NZol+qvlfiD0LMfiVel59b8HI0T2VkX+n62vEHS9dveap8toEkPghxKT/TdM418dbzYh40nXPNPGgW8qDpnGviZ5rFPGg655r5Pc1CHjSdc/XSp7KYljxoOueaedAs5EHTOddEaQMMT0vjHzSP8C9Ybbh8kFaASjXeV61n+f5onqeePa68Lh3xfpqqJvQsjdw/mjEY38/MvfFveUdCL9eZOyPlJLQQDM+N3w+rziqvy/Cc+M/wybOiWThucHY0zws7Tihd/7buvdEy5lcORfNo+85oHosMZGnD5ccltn0yP9MsdLjTXTjnjlGy9CWpPGmFpC2S+iRd3WJ9t6Q7w/oNkk7LrbsmpG+RdEGsTElXhTSTtDiXLkk3hXWPSXpnbt1lkp4Jy+i0G4U8aDrnmpnSlghJFeBm4EJgOXCppOUN2S4HdpvZMuBG4Iaw7XKyqS/OBFaQTVVRiZT5IPBBsml48i4km2OoB1gNfD7sYyHZFD7vIptQ7TpJC8o+kwdN51wzS1zizgX6zGyrmQ0B64CVDXlWAreF13cD5ymbtGclsM7MBs3sOaAvlFdYppk9YmbPt6jHSuCfLPND4Pgwk+4FwL1mtsvMdgP3kgXoQh40nXNNxnB5vljSxtyyuqGoJcCLuffbQlrLPGZWBfaSTYJWtG1KmY3aVpa3njvn6tmYWs93hFkdpw0/03TONWvf5fl24JTc+5NDWss8kjqB+cDOkm1Tykytx5jL8qDpnGvWvqD5MNAjaamkLrKGnd6GPL3AaKv1xcD9lvWd6gVWhdb1pWSNOA8lltmoF/jt0Ir+bmCvmb1ENnf6+ZIWhAag80NaIb88d841adeAHWZWlXQVWSCqAGvNbJOk64GNZtYL3ArcLqkP2EUWBAn57gI2A1XgSjMbgaxrUWOZIf1jwCeAk4DHJK0Pc56vBz5E1ph0CPjdsI9dkj5NFogBrjezXWWfafIFzVgvhoTBg61/IJqnsq87muetp5V/c57aeny0DHXET+Yt8lOwQ/GO3iMJP0mLj4ccNXNHQiabEc3S2V/+mYbnJlwE1eK/2ft2xzu3V/aWf+mO3xvvuF57PnZ1CB2LF0Xz2IEDpes1o/wHnTU6Ty5mtp4saOXTrs29HgAuKdh2DbAmpcyQfhNwU4t0A64s2MdaYG3ph8iZfEHTOTfx/ImgQh40nXP1xtZ6Pu140HTONfMzzUIeNJ1zdYSP3F7Gg6ZzrpkHzUIeNJ1z9cYwgtF05EHTOdfMG4IKedB0zjXxM81iky9oxn5YCZ3FU0Z379hf3okY4s+YvuX0PdEyBhd1RfM881T5CPFEOjQDKOHUYPnm+G/CjP7y9bXOeOfpef8xGM0zeFz5aPRPvTlaRPShAAASRs7v7C//TDoU/zyVRaVDMAJgc2dG86ijvC62e0+0jLbwoFko+o2StFbSq5KeyKV9StJ2SY+G5UNHt5rOuXGT+tz5NA2sKQN2fJHWg3LeaGZnh6XpcSbn3NTVzukujjXRoGlm3yV7iN45N134mWahIxka7qowQdHasjk1JK0eHdV5cDA+kIZzbuKplrZMR4cbND8PnAGcDbwE/G1RRjO7xczOMbNzurvjN8KdcxPM72mWOqygaWavmNmImdWAfyCb6Mg5dwzQGJbp6LCCZpjFbdRHgSeK8jrnpiA/0yyU0uXoDuAHwJslbZN0OfDXkh6X9BjwfuDjR7mezrlx1M7Wc0krJG2R1Cfp6hbruyXdGdZvkHRabt01IX2LpAtiZYYpMDaE9DvDdBhIujHXRfJpSXty24zk1sWmzYh3bjezS1sk3xrbrlDsnF7lcTzW+RdI+gtoA/EOy7FRspkTH/2978n50TzVyODitYQh16sd8dHdtywt71AO8Jat5Xmqs+LHf3hWfD9PLytf3zEU/yF2vxqvy0h3Qof+/eV5nvlx/F78snfGH6hIYpH6xta3S5t2I6kC3Az8Mtn0uA9L6jWzzblslwO7zWyZpFXADcCvSVpONvXFmcAbgH+T9KawTVGZN5B1h1wn6e9D2Z83s9dO7CT9V+Aduf33m9nZqZ/JJ1ZzztWztraenwv0mdlWMxsC1gErG/KsBG4Lr+8GzlM2b8dKYJ2ZDZrZc2Tz+5xbVGbY5gOhDEKZF7Wo06XAHUm1b8GDpnOuWfo9zcWjXQrDsrqhpCXAi7n320JayzxmVgX2AotKti1KXwTsCWW03JekU4GlwP255Jmh7j+UdFHrA/Izk+/Zc+fchBvD0z47zOyco1iVdlsF3D06q2Vwqpltl3Q6cL+kx83s2aIC/EzTOdesfa3n24FTcu9PDmkt80jqBOYDO0u2LUrfCRwfyija1yoaLs3NbHv4fyvwHervdzbxoOmca9LG1vOHgZ7Qqt1FFrQaW6h7gcvC64uB+8OUu73AqtC6vhToAR4qKjNs80Aog1DmN177TNJbgAVkvYFG0xZI6g6vFwO/QDbPeiG/PHfO1TPaNgixmVUlXQXcA1SAtWa2SdL1wEYz6yXrjXO7pD6ycS5WhW03SbqLLIhVgStHL6tblRl2+UlgnaS/BB6hvqfPKrKGpXy4fyvwBUk1spPIzzS07DfxoOmcq9PuidXCKGjrG9Kuzb0eAC4p2HYNsCalzJC+lYInFM3sUy3Svg+cVfoBGox/0Iz8MGL9MJUwCLEl9GWz4Xi/xo7OGeVldMf7Iw7PTqhLpL4aiZcx0hk/LtWEugzOjfR9TPht6jgUP01Rf3meWQfix7ZzKJqFnp498bq8rvwzvTB/brSMvh/EBwJb9ksJkUiR739lnH5lp+nTPin8TNM510Tj1Yl+CvKg6ZyrN42fK0/hQdM512S6jsqewoOmc67JdB1gOIUHTedcMz/TLORB0zlXbxpPmpbCg6ZzrpkHzUIeNJ1zddrduf1YM/5BM9Y5vQ0TjyjSQRiASrzzdIwlPbkfr0utuzxPrSuljHhlaooPZvzj15Xn6d4V30/nofhv3MxD5V+9Wi3+8EH3znjv9u75h6J5GClv9eg542C0iGf2dMXzbIhXpefNkcGxo4N4x/eRQjWPmkX8TNM5V8/7aZbyoOmca+Jdjop50HTONfMzzUIeNJ1zTbwhqJgHTedcPWP8Zr2cgjxoOuea+D3NYj7dhXOuzmg/zTZNd4GkFZK2SOqTdHWL9d2S7gzrN0g6LbfumpC+RdIFsTLDFBgbQvqdYToMJP2OpJ9KejQsV+S2uUzSM2EZnXajkAdN51w9s/QlQlIFuBm4EFgOXCppeUO2y4HdZrYMuBG4IWy7nGyKijOBFcDnJFUiZd4A3BjK2h3KHnWnmZ0dln8M+1gIXAe8i2zE9+skLSj7TBMwcnv5eb86ykdLb0endACrxjt6Uy3vYK3B+DVMz5v2RfM8tfW48mrMjhZBrTPeGdxmxz+z9pf/HbWE3tOdB+P7qQyV5+kcjH8e+geiWfoein9flvXsLV1vA5EO50DPGZHvLUBKh/FYf/1YEW26FdnGhqBzgb4wDQWS1gErqZ+8bCXwqfD6buCzyp5QWUk2p88g8FyYQ2h0KoumMiU9CXwA+PWQ57ZQ7udL6ncBcK+Z7Qpl3UsWoO8o2sDPNJ1zzdKn8F0saWNuWd1Q0hLgxdz7bSGtZR4zqwJ7gUUl2xalLwL2hDJa7etXJD0m6W5Jo1MAp9SvjjcEOeeajOFMc4eZnXMUq9Iu/we4w8wGJf0e2VnoBw6nID/TdM7VM2DE0pa47cApufcnh7SWeSR1AvOBnSXbFqXvBI4PZdTty8x2hst8gH8E/tMY6lfHg6ZzrkkbW88fBnpCq3YXWcNOb0OeXmC01fpi4P4wN3kvsCq0ri8FeoCHisoM2zwQyiCU+Q0ASa/P7e8jwJPh9T3A+ZIWhAag80NaIb88d841a1PndjOrSrqKLBBVgLVmtknS9cBGM+sFbgVuDw09u8iCICHfXWSNRlXgSjMbAWhVZtjlJ4F1kv4SeCSUDfAxSR8J5ewCfifsY5ekT5MFYoDrRxuFinjQdM41aedjlGa2HljfkHZt7vUAcEnBtmuANSllhvSt/KyFPZ9+DXBNwT7WAmtLP0SOB03nXD0fGq7UpAuaVov040wpRO25VWuRfpopldnSV94HE8Ai49daJf4NtoRugh1d8X6ltVmRYxfpZwtQ64offx0sP7bWGe9fqZSGiITLzKeeLO8I++bT4/00kyR8JiLffxsebk9dSojEYztNTbqg6ZybePIBOwpFTwkknSLpAUmbJW2S9AchfaGke8PzmvfGHj1yzk0RqR3bp2lcTbmOrQJ/bGbLgXcDV4bnPK8G7jOzHuC+8N45N+W179nzY1E0aJrZS2b27+H1frL+TUvIngu9LWS7DbjoKNXROTfO2jnK0bFmTPc0w5BN7wA2ACea2Uth1cvAiQXbrAZWA8yZPfewK+qcG0fT9CwyRXLQlDQX+Arwh2a2Lz9NrpmZ1PrvjpndAtwCsGjhCf6TcG6yM289L5M2c7c0gyxgfsnMvhqSXxl9NCn8/+rRqaJzbtx5Q1ChlNZzkT2K9KSZ/V1uVf550dee8XTOTX0yS1qmo5TL818Afgt4XNKjIe3PgM8Ad0m6HHgB+NWjUsNGHe3puN6R0nm6s/zwdCRcwiz7uf3RPM89Oq90fa0z3ou+kjBm73B3/MddsfLjO2Mo4fh3pAy2Wz6A8FsSBm/WCf3RPE//KPLkAFCplncof/bphdEylr09XhclDKBtg+WjEFutfPBma1cgm6YBMUX0t8jM/h/Fz76c197qOOcmnAE+sVohfyLIOVdHTN9L7xQeNJ1zzSLPwE9nHjSdc/X88ryUB03nXBO/PC/m010455q18dlzSSskbZHUJ6lpjIowncWdYf2G8OTh6LprQvoWSRfEygxTYGwI6XeG6TCQ9Edh0KHHJN0n6dTcNiOSHg1L41QcTTxoOucatG/ADkkV4GbgQmA5cGkY8CfvcmC3mS0DbgRuCNsuJ5v64kyyucg/J6kSKfMG4MZQ1u5QNmRTX5xjZm8jm1v9r3P77zezs8Pykdhn8qDpnKvX3tkozwX6zGyrmQ0B68gG+8nLD/5zN3BeeKhmJbDOzAbN7DmgL5TXssywzQdCGZAbSMjMHjCzQyH9h2SzTh6WSXdP02qRH0RsNPXU/YyUdxIG6Ig8J6aR+N3yF78fH6Ska7i8nBn98b9t1hnPMyOh03ms83TnofjxrwzH99MxXL4f9cc7i9uBQ9E8PW86EC8n9nNMmi5gVnw/bWiRVkd5B/n8mBBHtJ/23dNcAryYe78NeFdRnjAR215gUUj/YcO2S8LrVmUuAvaYWbVF/rzLgW/m3s+UtJFsGMzPmNnXyz7QpAuazrlJID1oLg4BZ9QtYZCeSUnSbwLnAO/NJZ9qZtslnQ7cL+lxM3u2qAwPms65egbErvh+ZoeZnVOyfjtwSu79ySGtVZ5tkjqB+cDOyLat0ncCx0vqDGebdfuS9EHgz4H3mtlrEz+Z2fbw/1ZJ3yEb/rIwaPo9Tedcg7aO3P4w0BNatbvIGnYaW6jzg/9cDNxv2UP0vcCq0Lq+FOgBHioqM2zzQCgDcgMJSXoH8AXgI2b22ohskhZI6g6vF5ONtbG57AP5maZzrlmb7mmGe5RXAfcAFWCtmW2SdD2w0cx6yUZRu11SH7CLLAgS8t1FFsSqwJVmNgLQqsywy08C6yT9JVmL+a0h/W+AucC/hPu+/xFayt8KfEFSjewk8jNm5kHTOTcGBiQ0ciYXZ7YeWN+Qdm3u9QBwScG2a4A1KWWG9K1kreuN6R8sKP/7wFnln6CeB03nXANLmt9+uvKg6Zxr5o9RFvKg6ZyrN7bW82ln6gXNdv0sU8oZHC5drf3xztVnHfeTaB4Nl3cYf/qZBdEySOnUnDLqfaRze9qjcwmd8feXdzqv7YuPeG+R49YuKSOuU40/LEHCbAHxyhx5EUn8TLPQ1Auazrmjz4NmIQ+azrl6ZpDwmPF05UHTOdfMzzQLedB0zjXzoFnIg6ZzroF563kJD5rOuXoG5p3bC3nQdM41a+NjlMea8Q+asbP+yF84G69+akAtMhCuquX9OIGke0NPb55Xvh/tipahhD6AbenXmNAf1FI6wcYu/xIuD1P6T1rKvbnYdy6ljKGhhDzxLDGxQaKT6hrdifkUviX8TNM518wbggp50HTONWnH1BzHKg+azrkG6dPzTkceNJ1z9XzAjlIeNJ1zdYy02VqnKw+azrl65oMQl/Gg6ZxrYn55XsiDpnOumZ9pFlJbOsOm7kz6KfBCLmkxsGPcKnDkplJ9p1JdYWrVdzLX9VQzO+FICpD0LbLPmGKHma04kv1NNeMaNJt2Lm2MTDQ/qUyl+k6lusLUqu9Uqqtrv4T5D5xzzo3yoOmcc2Mw0UHzlgne/1hNpfpOpbrC1KrvVKqra7MJvafpnHNTzUSfaTrn3JTiQdM558ZgwoKmpBWStkjqk3T1RNUjhaTnJT0u6VFJGye6Po0krZX0qqQncmkLJd0r6Znw/4KJrGNeQX0/JWl7OMaPSvrQRNZxlKRTJD0gabOkTZL+IKRP2uPrjq4JCZqSKsDNwIXAcuBSScsnoi5j8H4zO3uS9s/7ItDYwfhq4D4z6wHuC+8niy/SXF+AG8MxPtvM1o9znYpUgT82s+XAu4Erw3d1Mh9fdxRN1JnmuUCfmW01syFgHbByguoy5ZnZd4HGOTFWAreF17cBF41nncoU1HdSMrOXzOzfw+v9wJPAEibx8XVH10QFzSXAi7n320LaZGXAtyX9SNLqia5MohPN7KXw+mXgxImsTKKrJD0WLt8n3eWupNOAdwAbmJrH17WBNwSleY+ZvZPsdsKVkn5pois0Fpb1K5vsfcs+D5wBnA28BPzthNamgaS5wFeAPzSzffl1U+T4ujaZqKC5HTgl9/7kkDYpmdn28P+rwNfIbi9Mdq9Iej1A+P/VCa5PKTN7xcxGLJtw+x+YRMdY0gyygPklM/tqSJ5Sx9e1z0QFzYeBHklLJXUBq4DeCapLKUlzJM0bfQ2cDzxRvtWk0AtcFl5fBnxjAusSNRqAgo8ySY6xJAG3Ak+a2d/lVk2p4+vaZ8KeCApdSv4XUAHWmtmaCalIhKTTyc4uIRt/9MuTra6S7gDeRzac1yvAdcDXgbuAN5INx/erZjYpGl8K6vs+sktzA54Hfi93z3DCSHoP8D3gcWB0kMk/I7uvOSmPrzu6/DFK55wbA28Ics65MfCg6ZxzY+BB0znnxsCDpnPOjYEHTeecGwMPms45NwYeNJ1zbgz+P08zQ7/DpeFnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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USgU4sqZ6/chJ6bE0+tLbqR1JNBhOJ88vW3Mo2WbV6tSGoHF4aeX6lY305xkbSI+3kVF3pT5S/XccOFT9/59aIqE9xxSL3S5aPnI0swkCMZ4q1f4G4OBoZm18ztHB0cxahX9Wg4OjmbXwOceCg6OZtXFwdHA0sxaBqHtCxsHRzNp5QsbB0cxahCdkgNkOjhEwPFzZ5NS+XZXr68PLkpt5ob462ab3SLqKtEgk9iqdcBtUV7wGoFa9nd7D6WrWjb7u3IR9fGn1Zxo/KT0WDWaM97Xqr97SAxnJ/mPpz3yEjIrvS6qra4/1pj/P+Ir0WOoZ++VAY0nl+qUjRyvXNxrduqWqg6OPHM2shQtPgIOjmXXgI0cHRzNrEQH1Lv08X8gcHM2sjWerp3HfajNbnILiZ3XOI4ekTZJ2SNop6doO6wck3V2uf0TSWU3rriuX75B0YapPSXeVy5+UdLukvnK5JH2sbP+EpLemxu3gaGYtigmZnEeyJ6kHuAW4CNgAXCZpQ0uzK4BXI+Js4GbgpvK9G4DNwDnAJuBWST2JPu8Cvg/4QWAJcGW5/CJgffm4CvhkauwOjmbWJiLvkeE8YGdEPBMRo8BW4JKWNpcAd5TP7wUukKRy+daIGImIZ4GdZX+T9hkR26IEPAqc3rSNz5arHgZWSTqtauCznOfYoDE6Wtmktv9g9fqR6vcDLButzlsDaIxV51sC9PYl+ulJ/7el77V0nuP46hXV65eltxMZaY5jgxk/gxK5m/0r0vt/vJ4er1ZWF23t/W76Ax18rbpILcDR/nSeY3/iUrlDvSPJPjiSjhSHB9PFkZMtGqnv0/SL3cKUZqtXS9re9HpLRGxper0WeKHp9S7gbS19vN4mIsYl7QdOLpc/3PLeteXzyj7Ln9PvAT5UMY61wIuTfTBPyJjZBMVsdfaPyr0RsXEmx3OcbgUejIiHjrcDB0cza5P5kznHbuCMptenl8s6tdklqRdYCexLvHfSPiV9BDgFeP8UxzGBzzmaWZsuzlY/BqyXtE5SP8UEy1BLmyHg8vL5pcAD5TnDIWBzOZu9jmIy5dGqPiVdCVwIXBYRjZZtvLectX47sD8iJv1JDT5yNLMWQX6aTrKv4hziNcB9QA9we0Q8JekGYHtEDAG3AXdK2gm8QhHsKNvdAzwNjANXR0QdoFOf5SY/BTwPfKWY0+HzEXEDsA24mGJS5wjwq6mxOziaWZvu/aouZpApglPzsuubng8D75rkvTcCN+b0WS7vGNPKI9GrpzJuB0czmyggfPmgg6OZtXPhCQdHM+ugi7PVC9a8C46N8eqCoEoUywVYXasumAuw51C6aG5QXVhU6Xq5jI+lv2VaVV3gNHrTycP1dBMa/emE9N7+6g+1oj+9/8eH01+r3kTh1yUnZPSRsf+VTJqGN9UPV64f6En/DWtH09vp2Zdu0zdS3WaknuijC0Ht2LXVb3TzLjia2RwLwMExnedYVrbYI+nJpmUnSfqSpG+X/544s8M0s9nUxWurF6ycJPDPUFTEaHYtcH9ErAfuL1+b2aIgopH3WMySwTEiHqRIzGzWXEXjDuAXujssM5tTkflYxI73nOOapktvvgusmayhpKso6qcxuHT5cW7OzGZNeEIGunBtdZl5Pul/QyJiS0RsjIiN/QPVs7JmNk/4yPG4g+NLxwpFlv/u6d6QzGzuKfOxeB1vcGyuonE58BfdGY6ZzQuNzMciljznKOlzwPkUFX93AR8BPgrcI+kKigoY7+7ekFJ7vDtV1t608tC0+9i/64R0o0RSOwDD1b9PRhLVuQEaA+lvau20dEXr007cX7n+TUuqK7UDPLPv5GQbVRcCpzeV7AzE/oyK4xlFWw8PVFd8H0kXlqevercB0DiYPtJafvS1yvWj9VQf3coCX9xHhTmSwTEiLptk1QVdHouZzROLPYcxh6+QMbN2Do4OjmbWgX9WOziaWbuM09yLnoOjmU0UgkV+aWAOB0cza+cjRwdHM+vAwdHB0cw6cHCcj8ExkbTbyPir9WYkitfS51T2HFpR3WB1ejPU0+PtPzVRFXvJaLKPpY3+ZJujh3qSbf7d/uok77cs+edkH9uPpPf/i69VJ9AP7kh/NXsinWC/Y3367zw6Wp3lPVZPf57+0XSF9L6x9HgPJKqoq57Inu9GUHMSODAvg6OZzTXPVjs4mlknDo4OjmbWzkeODo5m1onPOXapxI2ZLR65hW4zjy4lbZK0Q9JOSW33m5I0IOnucv0jks5qWndduXyHpAtTfUq6plwWklY3LT9f0n5Jj5eP61Pj9pGjmbXr0s9qST3ALcDPALuAxyQNRcTTTc2uAF6NiLMlbQZuAn5F0gZgM3AO8G+Av5H05vI9k/X5D8BfAl/uMJyHIuI/5I7dR45m1kaNvEeG84CdEfFMRIwCWylu0Nes+YZ99wIXSFK5fGtEjETEs8DOsr9J+4yIr0fEc9P68KUFd+QYOXmOI+m8QPWkc/5SuZDqT1dBrWWUku9PVH7VoURuGzCwLyMvMKM47JO10yrXb1q3I9nHFSd+O9nmy0urb3X+d8/9ULKPl888mmyz9FD6/8GH91ff+O3EJent9B5If+cYH0820Uj13zrGEn10qxBjfjerJW1ver0lIrY0vV4LvND0ehfwtpY+Xm8TEeOS9gMnl8sfbnnv2vJ5qs9OfkzSN4B/Af5rRDxV1XjBBUczm1mKKc1W742IjTM4nG75GnBmRBySdDHw58D6qjf4Z7WZtQvlPdJ2A2c0vT69XNaxjaReYCWwr+K9OX1O/DgRByLiUPl8G9DXPGHTiYOjmbXr3mz1Y8B6Sesk9VNMsAy1tGm+Yd+lwAPlLZ+HgM3lbPY6iiO9RzP7nEDSqeV5TCSdRxH79lW9xz+rzaxNt5LAy3OI1wD3AT3A7RHxlKQbgO0RMQTcBtwpaSfwCkWwo2x3D/A0MA5cHVFcUN+pz3L5B4HfBk4FnpC0LSKupAi6H5A0DhwFNpcBeFIOjmY2UWTPROd1V/yM3day7Pqm58PAuyZ5743AjTl9lss/Bnysw/JPAJ+YyrgdHM2snS8fdHA0sw4cHB0czaydC0/MenAUqQlyZRShTcroI+rpwqMi1SY92a+e9FhSLcYy/kw9B9Lf5tqhdJvefdUJ0Z9qvCPZx8VnPp5ss2bJa5Xrl605kOzj5WXp/X9oZCDZZsnoSOX6Wk/GCbisBO90mxhLJPyPJ76T3UoCNx85mlkHjrEOjmbWosuz1QuVg6OZtfORo4OjmU0kPCEDDo5m1omDo4OjmbWYWlWeRcvB0czaeULGwdHM2vnIcT4Gx1T17YzK2pFxwiQnV/aU/v3VDQb6051kVBx/+eAJletVT1eZrmX8p/77H09XFB8frN6/R56sHivAn+pHkm2+d83Lleu/+kPpr+bAy+l9u0zpZP9aqqB7xnUJMZj+LihVxRtQrTqxPcarE9bnoBL4opW8xEDS7ZL2SHqyadnvStrddCevi2d2mGY2a7p898GFKqfY7WeATR2W3xwR55aPttJBZrZwHbtVQuqxmCWDY0Q8SFGA0szeKHzkOK3bJFwj6YnyZ/ekt5KTdJWk7ZK2j46k7+JmZnOvi7dmXbCONzh+Evhe4FzgReD3J2sYEVsiYmNEbOwfWHKcmzOzWeNzjsBxBseIeCki6hHRAP6Q4ibbZrYIaAqPxey4gqOk5ju//yLw5GRtzWwB8pFjOs9R0ueA84HVknYBHwHOl3Quxe55Dnj/zA3RzGbbYp+JzpEMjhFxWYfFtx3vBpU4FpcSB7MZx/KqpROIRTohl95EknHqwwAvD69KtonexFgybp5eG0kneP/TW9I/FL7/29VJxv2vpLcz+PX0mfqvnH9y5fqB1zKSt2vp7dRJJ4qnqmv3RXo7jcGM71x9MN3m0HB1g1SV+4zvZBYHx3l4hYyZzS0XuwUcHM2sEx85OjiaWTufc3RwNLNOHByndYWMmS1S3by2WtImSTsk7ZR0bYf1A5LuLtc/IumspnXXlct3SLow1aeka8plIWl103JJ+li57glJb02N28HRzCYKimK3OY8EST3ALcBFwAbgMkkbWppdAbwaEWcDNwM3le/dAGwGzqEofnOrpJ5En/8AvBN4vmUbFwHry8dVFFf5VXJwNLMJjt1gq0tHjucBOyPimYgYBbYCl7S0uQS4o3x+L3CBJJXLt0bESEQ8C+ws+5u0z4j4ekQ812EclwCfjcLDwKqWi1naLLxzjolioNly8sEaXchnSOVtQjJ3bUlvosApwHhGgd96eiw9hxNfiUPp7aw4ciTZZs2z1RVmR09KfzVThXkB9Fp6vH0j1bmFOpre/3vqJyXbnLIy2SStL1GZd/bzHFdL2t70ektEbGl6vRZ4oen1LuBtLX283iYixiXtB04ulz/c8t615fNUn606jWMtRW2IjhZecDSzGaf8iuJ7I2LjTI5lrjg4mtlE3b1uejdwRtPr08tlndrsktQLrAT2Jd6b6vN4xjGBzzmaWZsunnN8DFgvaZ2kfooJlqGWNkPA5eXzS4EHIiLK5ZvL2ex1FJMpj2b22WoIeG85a/12YH9ETPqTGnzkaGYddOvywfIc4jXAfUAPcHtEPCXpBmB7RAxR1Gq4U9JOirsObC7f+5Ske4CngXHg6oioQ5Gy09pnufyDwG8DpwJPSNoWEVcC24CLKSZ1jgC/mhq7g6OZtetiEnh5j6ltLcuub3o+DLxrkvfeCNyY02e5/GPAxzosD+DqqYzbwdHMJnoD3Dwrh4OjmbVzcHRwNLOJjiWBv9EtzuDYkzEJX08XU00mnGckpEfv9Hdxb2QU5s34POpPj+W5NyeK2aaKrQL7lE6a7n2lus2Sg8kuGD8hfcO2o4fTxW41Mlq5PsbSBX5Pqb2c3s7R/mSbqKcKH6eiVneimhqOjoszOJrZ8XsD3B8mh4OjmbVxJXAHRzPrxEeODo5m1s4TMg6OZtYqyJj4WfwcHM2sjc85OjiaWQvnORYcHM1sogj/rGYOgmNqnyeLbOZU586pvp0jta2MRNme4fR4I5GcfYSBZB8504tRTydEN1Q9lp6MhPTBxtH0WA5Vt6nVqhOzAWoj6cT33sGlyTb1scRnGs9Iws/5zuVU6R5NJJw3Ep+5SzHNR44+cjSzThwcHRzNrJ2PHB0czaxVAHVHRwdHM2vjI0cHRzPrxLPVDo5m1s5Hjg6OZtbKJcuAeRgcI/FXybusKZ2XFjnFYVPFbFM5ZwD1jAGPV/fTU0sXW83Js6v3poutiupcvIb60tsZycjnS9wVeGQ4vW8b9XRR3ainP3MqEqg/o0htRv5t5HwXErmQkcrJ7MLPYQHyhMz8C45mNveSF2O8ASQPNySdIelvJT0t6SlJHyqXnyTpS5K+Xf574swP18xmXEzhsYjlXGc3DvxWRGwA3g5cLWkDcC1wf0SsB+4vX5vZghf/en116rGIJYNjRLwYEV8rnx8EvgWsBS4B7iib3QH8wgyN0cxmmSLvsZhN6ZyjpLOAHwYeAdZExIvlqu8CayZ5z1XAVQCDS1cc90DNbBYt8qPCHNnlayQtB/4M+I2IONC8LiImPQMREVsiYmNEbOwfSN9K08zmWBSz1TmPHJI2SdohaaekttNvkgYk3V2uf6Q8CDu27rpy+Q5JF6b6lLSu7GNn2Wd/ufx9kl6W9Hj5uDI17qzgKKmPIjDeFRGfLxe/JOm0cv1pwJ6cvsxsAejShIykHuAW4CJgA3BZOWfR7Arg1Yg4G7gZuKl87wZgM3AOsAm4VVJPos+bgJvLvl4t+z7m7og4t3z8UWrsObPVAm4DvhURf9C0agi4vHx+OfAXqb7MbGFQRNYjw3nAzoh4JiJGga0U8xXNmucv7gUuKOPOJcDWiBiJiGeBnWV/Hfss3/PTZR8wzbmQnHOOPw68B/impMfLZR8GPgrcI+kK4Hng3emuAkgkwqZqefZkHOxmFKHNOafSGKtOvs457G6MpxOVtar6dENjNJ1UnfNFjZyfQamz7L3psYz3povzpn6S1Rvp7YwdTSf7JwvZ5kgUIwZYMZixnZxCzfNF/jnH1ZK2N73eEhFbml6vBV5oer0LeFtLH6+3iYhxSfuBk8vlD7e8d235vFOfJwOvRbxekbm5PcAvS/pJ4J+A34yI5j7aJP/qEfH3MOllExek3m9mC0zGMUyTvRGxceYG0zX/F/hcRIxIej/FUeVPV72hS/cTMLPFQuT9pM78Wb0bOKPp9enlso5tJPUCK4F9Fe+dbPk+YFXZx4RtRcS+iDj2M+6PgB9JDdzB0czaNRp5j7THgPXlLHI/xQTLUEub5vmLS4EHygyYIWBzOZu9DlgPPDpZn+V7/rbsA5rmQo5NHpd+niJfu5KvrTaziab2s7q6q+Ic4jXAfUAPcHtEPCXpBmB7RAxRTPjeKWkn8ApFsKNsdw/wNMWVeldHRB2gU5/lJn8H2CrpfwBfL/sG+KCkny/7eQV4X2rsDo5m1qabhSciYhuwrWXZ9U3Ph4F3TfLeG4Ebc/oslz9DMZvduvw64LqpjNvB0cza+QoZB0cza7X4i0rkcHA0s4l890FgtoNjxiVHqT+JulBNGTL/w5iorp1TTfyUVQeTbfZH9Z8hcnIKhtPJ5j05ieKJNv0DGfs242x+o9ZTuX5wIP2hezP2PzqSbBKJiwZqjeqxAjCa8X+lWkaF9HlyxOZitz5yNLNOHBwdHM2sRZB3Ce4i5+BoZi08IQMOjmbWiYOjg6OZtQjybim8yDk4mlmLgHBwdHA0s3b+We3gaGYtPFsNzMfgmDicz8rd7lYltuRY0tvRyGiyzWiqonVPOtlZ9XQl6p7ISEJO/J8ics5F9aTbKJWo3637fnbhCKgxnrH/c8p35SSBJ8zaAZ2PHOdhcDSzuefg6OBoZi0iIOfSzEXOwdHM2vnI0cHRzDpwcHRwNLNW4dlqHBzNrFVAOAncwdHMOvDlgwswOGYc7ecUW81LmJylO9fGcPXq0fTn6all5DmOpdskTzVl/NyKjDzH0Ub1V2+grwtjBfJuo5f6O6f7yDrQypkATqVCpj5zN84VRuTednVRW3jB0cxmnidkHBzNrF34yNHB0cxaudgtODiaWSsXngAcHM2sRZB3Z83FzsHRzCYKF7sFB0cz6yB1L+83AgdHM2vnI0cUszgrJell4PmmRauBvbM2gOlbSONdSGOFhTXe+TzWMyPilOl0IOmvKD5jjr0RsWk625uvZjU4tm1c2h4RG+dsAFO0kMa7kMYKC2u8C2msdvxm6fo4M7OFxcHRzKyDuQ6OW+Z4+1O1kMa7kMYKC2u8C2msdpzm9Jyjmdl8NddHjmZm85KDo5lZB3MWHCVtkrRD0k5J187VOHJIek7SNyU9Lmn7XI+nlaTbJe2R9GTTspMkfUnSt8t/T5zLMTabZLy/K2l3uY8fl3TxXI7xGElnSPpbSU9LekrSh8rl83b/WnfMSXCU1APcAlwEbAAuk7RhLsYyBT8VEefO0/y2zwCtibjXAvdHxHrg/vL1fPEZ2scLcHO5j8+NiG2zPKbJjAO/FREbgLcDV5ff1fm8f60L5urI8TxgZ0Q8ExGjwFbgkjkay4IXEQ8Cr7QsvgS4o3x+B/ALszmmKpOMd16KiBcj4mvl84PAt4C1zOP9a90xV8FxLfBC0+td5bL5KoC/lvRVSVfN9WAyrYmIF8vn3wXWzOVgMl0j6YnyZ/e8+5kq6Szgh4FHWJj716bAEzJ5fiIi3kpxGuBqST851wOaiijyteZ7ztYnge8FzgVeBH5/TkfTQtJy4M+A34iIA83rFsj+tSmaq+C4Gzij6fXp5bJ5KSJ2l//uAb5AcVpgvntJ0mkA5b975ng8lSLipYioR3HD5D9kHu1jSX0UgfGuiPh8uXhB7V+burkKjo8B6yWtk9QPbAaG5mgslSQtk7Ti2HPgZ4Enq981LwwBl5fPLwf+Yg7HknQs0JR+kXmyjyUJuA34VkT8QdOqBbV/berm7AqZMlXjfwM9wO0RceOcDCRB0r+lOFqEov7ln8y3sUr6HHA+RZmpl4CPAH8O3AN8D0WZuHdHxLyYBJlkvOdT/KQO4Dng/U3n9OaMpJ8AHgK+yb/ewPrDFOcd5+X+te7w5YNmZh14QsbMrAMHRzOzDhwczcw6cHA0M+vAwdHMrAMHRzOzDhwczcw6+P+6hkc+mANFKwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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y24KDo5k1mev3TeeY5uAoolZ9LWMs0aKcSyE5Cd4jC9L1DFXnKTPWm95PJOqA9O8UfRm3pCcn5oV5CweSZQZG51duP/uMA8k6ntPiZJnzT6+8Fs7C7upJkQF+9tT+ZJm/rqVTcZ/tW1q5PbrT/0xGTkln+49mTHbbfbS6zFhfoi1tuFToyW4L7jma2TiBGMmZKn+Oc3A0sya+5ujgaGaNwqfV4OBoZg18zbHg4GhmTRwcHRzNrEEgRj0g4+BoZs08IOPgaGYNwgMywHQHx7Gg62h1VnT3QHWTRuald5OcTRnQkfSH33O0evtoxn5ypGYL7zqaPsWpZcwWPjyc8XHXqn+nrIe9J6cTh52HFlVuP3thepbvI9GXLLNy/v5kmT0LFlZuHz6S/p2z5mnIiDddiVnsuwZSdyZktCNDODi652hmjeb+Y1dzODiaWRP3HB0czaxBBIxmPLBtrnNwNLMmHq12cDSzBoFPq8HB0cyaeEAGHBzNrIXqp6u8MkxznuMYXUderCwyb1/1X6zaQE96P7X0X72cu6NqQ6OJ7elKRnMmxE2k0eX8ER8+LZ3gduap1cceYOkZ1cmdFyxofKpmsxcWV+cNAnz7hRWV24+M9Cbr+MLen0iWmVdLzzY8NFj9nUrlHgJ0D+XkzWZMdjuYiEoj1d/JdkU1n1a752hmDYrRat9b7eBoZk18Wu3gaGYt+LTawdHMGgRycKQtzyozs7kmMpccktZK2iGpX9J1Lbb3Sbq73P6ApPPqtl1frt8h6bJUnZLuKtc/JulOST3lekm6pSz/iKQ3pNrt4Ghm4wXEmLKWFEk14DbgcmANcKWkNQ3Frgb2R8T5wM3ATeV71wDrgQuAtcBHJdUSdd4FvA74CWA+cE25/nJgdblsAD6WaruDo5k1iVDWkuFioD8inoqIIWALsK6hzDpgc/n6XuBSSSrXb4mIwYh4Gugv65uwzojYFiXgQWBF3T4+VW76JrBY0jlVDXdwNLMmEXkLsEzS9rplQ0NVy4Fn637eWa5rWSYiRoCDwNKK9ybrLE+nfwP420m0Y5xpHZCZ1zvM+ef9sLrQ/EOVm1XLmGy1Kx3zo5bxd0GJMhltGVqanp13tK/6L/DD+09L15ExUcC+I+nk7MND1e39pwPLknX0dScSlYEXdybasnQoWcerX5OYjRg4c+mxZJm+3dWT5vYuGUzW0Z3eDd0vpq/SdQ9Ul5nPgcrtOx5OH/uUSd5bvTciLpryTtvvo8DXIuL+E63Ao9VmNl6Qd1tWnl3AyrqfV5TrWpXZKakbWATsS7x3wjolfRA4A3jvJNsxTrL7VI747JH0WN260yV9SdL3y/8vSdVjZrPHJE6rUx4CVktaJamXYoBla0OZrcBV5esrgK+U1wy3AuvL0exVFIMpD1bVKeka4DLgyogYa9jHb5aj1m8CDkbE7qqG51xz/CTFSFG964AvR8Rq4Mvlz2Y2J+SNVOeMVpfXEDcC9wFPAvdExOOSbpT0jrLYHcBSSf3A71PGk4h4HLgHeILi2uG1ETE6UZ1lXR8HzgK+IelhSTeU67cBT1EM6nwC+O1U25On1RHxtfq8o9I64JLy9Wbg74E/TtVlZrNEG28fjIhtFMGpft0Nda8HgHdO8N5NwKacOsv1LWNa2RO9djLtPtFrjmfVdUmfo4jULZWjVxsAFiSe8mZmM0D49kFoQypPGZEn/DsTEbdHxEURcdG8vvlT3Z2ZTYd23iIzS51ocHz+eAJl+f897WuSmXWeMpe560SDY/3o0lXA59vTHDObEcYylzksec1R0mcpBl+WSdoJfBD4MHCPpKuBHwDvyt5jJI5oYqbjGM34RNSev2hKJZN3py/Z1hKzTANEop7Wl5jHG+tNn+MsXZjOVP7RhXsrt/d2pWfWPq2W3s+2Az9ZuV0ZI6Hd+9IHZs/oomSZ3gPVn3NtIFkFvYfS38uew+kE7a7B1L+PxPFvx0SM7c1znLVyRquvnGDTpW1ui5nNEJ7s1nfImFkrDo4OjmbWgk+rHRzNrJncc3RwNLMGIcgYEJvrHBzNrJl7jg6OZtaCg6ODo5m14OA4/cExEglUGk0kyubMBJ6RBJ5M8AZIzRbelXFdJuNL1jVUnfibkVNN12C6LYeWpGclX/FM9azYi7vTyc61rvQ99D/2j9XHNrrTB+7Hzk0W4dE3p8uMJb5S3em8d2rH0u2tDWQkgY9UH9+YjqjlJHDAPUcza8Gj1Q6OZtaKg6ODo5k1c8/RwdHMWvE1RwdHM2vwCpjINoeDo5k1c3B0cDSzZprjE9nmmPbgqFQOYir/MCM/Ud0ZuZA5+ZIJkZMrmTExnsaqy/S8mN6NMnLxDh+szmEEGInq3+miBU8l61iVMQnwvvMWVG7fffS0ZB3fe036M+zeny7Te6h6e8+x9kQKJXIYARhJfF+Skz23qcvnnqN7jmY2nsKj1eDgaGateLR66o9mNbM5qI2PZpW0VtIOSf2SrmuxvU/S3eX2BySdV7ft+nL9DkmXpeqUtLFcF5KW1a2/RNJBSQ+Xyw2pdrvnaGZN2nVaLakG3Ab8IrATeEjS1oh4oq7Y1cD+iDhf0nrgJuDdktYA64ELgHOBv5P0mvI9E9X5deBvgL9v0Zz7I+KXctvunqOZjRfFaHXOkuFioD8inoqIIWALsK6hzDpgc/n6XuBSFSO364AtETEYEU8D/WV9E9YZEd+JiGem9PuXHBzNrFn+afUySdvrlg0NNS0Hnq37eWe5rmWZiBgBDgJLK96bU2crb5b0XUlfkHRBqrBPq82sWf5p9d6IuOgktqRdvg28KiKOSHo78DlgddUb3HM0sybH03lSS4ZdwMq6n1eU61qWkdQNLAL2Vbw3p85xIuJQRBwpX28DeuoHbFqZeZPdjiUuZGRMZBvDGYnXyRJA19QTxXP+Aqe+ZLXBjIlUM37n3v3pv4X9h86s3L6959XJOmLB08kyPV3piV9TxjImxK0NTz0lpWs4XSYnUCjjhgBGEtn8qX8fMy8/8SFgtaRVFAFsPfBrDWW2AlcB3wCuAL4SESFpK/AZSR+hGJBZDTxI8c83Vec4ks4Gni/rvZiiY7iv6j0+rTazZu260SZiRNJG4D6gBtwZEY9LuhHYHhFbgTuAT0vqB16gCHaU5e4BngBGgGsjYhSKlJ3GOsv17wf+CDgbeETStoi4hiLovk/SCHAMWB+JnpqDo5mNF+29t7o8jd3WsO6GutcDwDsneO8mYFNOneX6W4BbWqy/Fbh1Mu12cDSzZjPv9HzaOTia2TjC91aDg6OZteLg6OBoZg08Kw/g4GhmrXiyWwdHM2vmnuN0B0cJpWaJTmxXxgze0b4krertGQnpdGUkracmR8+Y5buWMVv1G/5vui1Di3oqt/+/kXQS+A/PWZgsMzxWnZC++/XHknV0n3pKsgyH00W6E7cERMa9ANGTPrZjPemKugYzMs6ng4Nj+vZBSXdK2iPpsbp1H5K0q25utLef3Gaa2bTJnXRijgfQnHurPwmsbbH+5oi4sFyakjHNbPZq473Vs1YyOEbE1yhu6TGzVwr3HKc0K89GSY+Up91LJiokacPxud4GBtLXkcys89o42e2sdaLB8WPAjwIXAruBP5moYETcHhEXRcRF8+bNP8Hdmdm08TVH4ASDY0Q8HxGjETEGfIJi2nIzmwM0iWUuO6HgKOmcuh9/FXhsorJmNgu555jOc5T0WeASimdF7AQ+CFwi6UKKw/MM8N6T10Qzm25zfSQ6RzI4RsSVLVbfcWK7i3RidWJ7pGZChvRsyQDdGScFtURbc/rdGbM/K5H3WxtK/z45F8e/vyrdltd+P7Wj9H0D/3TsnGSZJ95YPRN4bX868/383nTCdPex9OfclZhFPdr1MJF2BJyc73Y7ODj69kEza9DmyW5nKwdHM2vmnqODo5k18zVHB0cza8XB0cHRzJq55+jgaGaNAk92i4OjmTXwA7YK0xwclZ7Mtrd6slW6MmYeHcmYHbYn/atHrTrBLTLqyKFE7lrXQHVOIOR9mWuD6TLdA9Xb5z+fTvrrPZjOLZy/tPrYDZ2WPrZdi9Ofc05KSvdA9cGrZXydSH9EeffbqV1JlVPk4DilWXnMbI5SRNaSVZe0VtIOSf2SrmuxvU/S3eX2BySdV7ft+nL9DkmXpeqUtLFcF5KW1a2XpFvKbY9IekOq3Q6OZjZeG2flkVQDbgMuB9YAV0pa01DsamB/RJwP3AzcVL53DbAeuIBiwu2PSqol6vw68G+AHzTs43JgdblsoJhZrJKDo5k1aeNM4BcD/RHxVEQMAVuAdQ1l1gGby9f3ApdKUrl+S0QMRsTTQH9Z34R1RsR3IuKZFu1YB3wqCt8EFjdMoNPEwdHMmkxisttlxyezLpcNDVUtB56t+3lnua5lmYgYAQ4CSyvem1Nno0m/x6PVZtYsf0Bmb0RcdBJb0jEOjmY2XnsfnrULWFn384pyXasyOyV1A4uAfYn3puo8kXaM49NqM2vWvsluHwJWS1olqZdigGVrQ5mtwFXl6yuAr0RElOvXl6PZqygGUx7MrLPRVuA3y1HrNwEHI2J31RvcczSzcdqZBB4RI5I2AvcBNeDOiHhc0o3A9ojYSjE/7Kcl9VM86XR9+d7HJd0DPAGMANdGxCgUKTuNdZbr3w/8EXA28IikbRFxDbANeDvFoM5R4LdSbZ/+4DhanS0bI9Wd2Yy5VrMmxM3Kxx1LTIKaUYlGMya7TbT3Na89lLGjdJHoTp8ojK5JVJSR29ZVSzfmJ+dXJ/MPnZLxC2U8MLiWSPAG6Dtc/Z3sOpaeVDeHhnMyxRNqGTdBtEHquz8Z5XPttzWsu6Hu9QDwzgneuwnYlFNnuf4W4JYW6wO4djLtds/RzMZ7BTwfJoeDo5k18UzgDo5m1op7jg6OZtbMs/I4OJpZoyBr4G2uc3A0sya+5ujgaGYNPNltwcHRzMaL8Gk1HQmO1cm96kokKmfMBJ6VKJ6Y5btszJTriNTvQ15Celt0ZewpkfzbNZAz+3b6H1b3wcT2UxIzwgNjvenfJ+tzTrQ3qxc1kpHsf2woXU/yJonU8W9PUHPP0T1HM2vFwdHB0cyauefo4GhmjQLImBNgrnNwNLMm7jk6OJpZKx6tdnA0s2buOTo4mlkjT1kGTHdwjIDR6jytGE7kriXywF7aT0JWbmF39eHRSPoeq8jIxSMx2W0y9xOSuXqQ+X1P5ULm5EoOZuRCDlXn/NUi/TnXBtM5r5HT3pTh9O9Dzu12kfF9SU3UnPoQ2xDURN4kzXOde45m1kS+5ph+wJaklZK+KukJSY9L+p1y/emSviTp++X/l5z85prZSZf7cK05Hj9znj44AvxBRKwB3gRcK2kNcB3w5YhYDXy5/NnMZr14+f7q1DKHJYNjROyOiG+Xrw8DTwLLgXXA5rLYZuBXTlIbzWyaKfKWuWxS1xwlnQf8FPAAcFbdc1+fA86a4D0bgA0ACxYsPOGGmtk0muO9whzZwVHSQuAvgN+NiEPSy6OAERFS678jEXE7cDvAsqVn+oibzXTh0WrIu+aIpB6KwHhXRPxlufp5SeeU288B9pycJprZtPOATNZotYA7gCcj4iN1m7YCV5WvrwI+3/7mmVknKCJryapLWitph6R+SU0Dt5L6JN1dbn+gvHx3fNv15fodki5L1SlpVVlHf1lnb7n+PZJ+KOnhcrkm1e6c0+qfA34DeFTSw+W6DwAfBu6RdDXwA+BdGXURiQOanCg15ypwxocWGYm96q5OMlbOBKe1jDLDiTJdGYnvqeRhoEvphOixWqJMzj+IVB0Ao4nE9xcH0nVkUE/6Kx6JZP8sOedgtXTSOkPDlZvTk922SZuuOUqqAbcBvwjsBB6StDUinqgrdjWwPyLOl7QeuAl4d5kVsx64ADgX+DtJrynfM1GdNwE3R8QWSR8v6/5Y+Z67I2JjbtuT34qI+AcmvqHk0twdmdksEeTd8ZPnYqA/Ip4CkLSFItOlPjiuAz5Uvr4XuLU8Y10HbImIQeBpSf1lfbSqU9KTwC8Av1aW2VzWezw4TkrWNUcze+UQeafU5Wn1Mknb65YNDdUtB56t+3lnua5lmYgYAQ4CSyveO9H6pcCBso5W+/q3kh6RdK+klanj4NsHzaxZxmWa0t6IuOhkNqVN/hr4bEQMSnovRa/yF6re4J6jmY13/LQ6Z0nbBdT30laU61qWkdQNLAL2Vbx3ovX7gMVlHeP2FRH7ytNzgD8F3phquIOjmTVp42j1Q8DqchS5l2KAZWtDmfrMlyuAr0QxcrsVWF+OZq8CVgMPTlRn+Z6vlnVAXRbN8bTD0jso7vSr5NNqM2vWptHqiBiRtBG4D6gBd0bE45JuBLZHxFaKVMFPlwMuL1AEO8py91AM3owA10YUc9m1qrPc5R8DWyT9J+A7Zd0A75f0jrKeF4D3pNru4GhmDdo7qUREbAO2Nay7oe71APDOCd67CdiUU2e5/ileHtGuX389cP1k2u3gaGbj+emDQCeCYyLJO0aqk2A1ljH781g6aVoZCbmRSJrOyUfvivQh1nB1eyOjrcqZIT3jEnOtuw1J4G3odWQlO+fM0J2TS55KAk/cDAB536dU4nt2mWngyW7dczSzVhwcHRzNrEGQ9Uyiuc7B0cwazP1ZvnM4OJpZMwdHB0czaxDMmIGhTnJwNLMGkfWM7bnOwdHMmvm02sHRzBp4tBqY5uAYEckEbVGdTBvkJDvnNCajTCqxOmc28Zzk7NQXcWywejsQOfs5lpERnUp878qYq6SWLhPT9ACSnOOSTObPSEhvy2zikJwqLDWTfmp7Nvcc3XM0sxYcHB0czaxBRPqs6RXAwdHMmrnn6OBoZi04ODo4mlmj8Gg1Do5m1iggnATu4GhmLfj2wQ4Ex0RvPZmXlvOZKSMXL+eaSmrS3JxTj3b8Bc5/TGa1nBzFhNQEwG2TMVoaGcclcj6j1ATMGd8VZeS8ZuUgpr4v03G2G9G+79ws5p6jmTXzgIyDo5k1y+mVz3UOjmbWwJPdgoOjmTXyxBOAg6OZNQgyJzKZ4xwczWy88GS34OBoZi1kpUDNcQ6OZtbMPUfUtskxc3Ym/RD4Qd2qZcDeaWvA1M2m9s6mtsLsau9MbuurIuKMqVQg6W8pfscceyNi7VT2N1NNa3Bs2rm0PSIu6lgDJmk2tXc2tRVmV3tnU1vtxE39fjIzsznIwdHMrIVOB8fbO7z/yZpN7Z1NbYXZ1d7Z1FY7QR295mhmNlN1uudoZjYjOTiambXQseAoaa2kHZL6JV3XqXbkkPSMpEclPSxpe6fb00jSnZL2SHqsbt3pkr4k6fvl/5d0so31JmjvhyTtKo/xw5Le3sk2HidppaSvSnpC0uOSfqdcP2OPr7VHR4KjpBpwG3A5sAa4UtKaTrRlEt4aERfO0Py2TwKNibjXAV+OiNXAl8ufZ4pP0txegJvLY3xhRGyb5jZNZAT4g4hYA7wJuLb8rs7k42tt0Kme48VAf0Q8FRFDwBZgXYfaMutFxNeAFxpWrwM2l683A78ynW2qMkF7Z6SI2B0R3y5fHwaeBJYzg4+vtUenguNy4Nm6n3eW62aqAL4o6VuSNnS6MZnOiojd5evngLM62ZhMGyU9Up52z7jTVEnnAT8FPMDsPL42CR6QyfOWiHgDxWWAayX96043aDKiyNea6TlbHwN+FLgQ2A38SUdb00DSQuAvgN+NiEP122bJ8bVJ6lRw3AWsrPt5RbluRoqIXeX/9wB/RXFZYKZ7XtI5AOX/93S4PZUi4vmIGI3igcmfYAYdY0k9FIHxroj4y3L1rDq+NnmdCo4PAaslrZLUC6wHtnaoLZUkLZB06vHXwNuAx6rfNSNsBa4qX18FfL6DbUk6HmhKv8oMOcaSBNwBPBkRH6nbNKuOr01ex+6QKVM1/jtQA+6MiE0daUiCpFdT9BahmP/yMzOtrZI+C1xCMc3U88AHgc8B9wA/QjFN3LsiYkYMgkzQ3ksoTqkDeAZ4b901vY6R9BbgfuBRXn5q+gcorjvOyONr7eHbB83MWvCAjJlZCw6OZmYtODiambXg4Ghm1oKDo5lZCw6OZmYtODiambXw/wEdkOeZQLrDPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(features)):\n",
    "    plt.title(features[i])\n",
    "    im = plt.imshow(grad[0,9,i,:,:])\n",
    "    plt.imshow(example_ds.burned_areas[-1], cmap=plt.cm.cool, interpolation='none', alpha=0.2)\n",
    "    plt.imshow(inputs[0,0,i,:,:], alpha = 0.2)\n",
    "    plt.colorbar(im)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "trying-confidentiality",
   "metadata": {},
   "source": [
    "Finally, we can compute the spatial average of the gradients over the negative and positive masks, obtained above with GradCAM. We get the following results for LST_Night_1km"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "stylish-branch",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'avg activation')"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "meantp = []\n",
    "\n",
    "for i in range(10):\n",
    "    maskgrad = maskpos.cpu().detach().numpy()*grad[0,i,3,:,:].cpu().detach().numpy()\n",
    "    maskgrad[inputs[0,i, 3, :,:]==1] = 0\n",
    "    maskgrad = maskgrad.flatten()\n",
    "    maskgrad = maskgrad[maskgrad!=0]\n",
    "    meantp.append(np.mean(maskgrad)*10**5)\n",
    "\n",
    "plt.scatter(range(10), meantp)\n",
    "plt.title(features[3]+\": gradient over positive activation area\")\n",
    "plt.xlabel(\"day\")\n",
    "plt.ylabel(\"avg activation\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "liquid-shakespeare",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'avg activation')"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "meantn = []\n",
    "\n",
    "for i in range(10):\n",
    "    maskgrad = maskneg.cpu().detach().numpy()*grad[0,i,3,:,:].cpu().detach().numpy()\n",
    "    maskgrad[inputs[0,i, 3, :,:]==1] = 0\n",
    "    maskgrad = maskgrad.flatten()\n",
    "    maskgrad = maskgrad[maskgrad!=0]\n",
    "    meantn.append(np.mean(maskgrad)*10**5)\n",
    "\n",
    "plt.scatter(range(10), meantn)\n",
    "plt.title(features[3]+\": gradient over negative activation area\")\n",
    "plt.xlabel(\"day\")\n",
    "plt.ylabel(\"avg activation\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sound-pension",
   "metadata": {
    "id": "sSvx3lCUC5qZ"
   },
   "source": [
    "# Discussion"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "color-potential",
   "metadata": {
    "id": "xQBZkHjT0yQZ"
   },
   "source": [
    "In this notebook we have seen how to use different explainable AI methods to create saliency maps and calculate importance scores for the input features. This is useful to understand why specific instances are classified with high fire risk and thus learn which are the main patterns (temporal, spatial and features) that drive the occurrence of large fires. Stay tuned! "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "boring-perth",
   "metadata": {},
   "source": [
    "# Acknowledgements\n",
    "\n",
    "Research funded by the EU H2020 project DeepCube ’Explainable AI pipelines for big Copernicus data’, grant agreement No 101004188."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "urban-imaging",
   "metadata": {},
   "source": [
    "Notebook Author: *Michele Ronco (https://github.com/mikronco)*"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "include_colab_link": true,
   "name": "1. UC3 Datacube Access and Plotting.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "python38",
   "language": "python",
   "name": "python38"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}