SV.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from src.utils_contributions import *\n",
    "import torch.nn.functional as F\n",
    "from src.contributions import ModelWrapper, LMModelWrapperCaptum, interpret_sentence, occlusion\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import torch.nn as nn\n",
    "import random\n",
    "random.seed(10)\n",
    "import pandas as pd\n",
    "\n",
    "from lgd_binary_classifier.dataset import LGDBinaryDataset, collate\n",
    "\n",
    "from collections import defaultdict\n",
    "\n",
    "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Subject-verb agreement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading bert_bin ...\n",
      "Loading sva ...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Some weights of the model checkpoint at bert-base-uncased were not used when initializing BertForMaskedLM: ['cls.seq_relationship.weight', 'cls.seq_relationship.bias']\n",
      "- This IS expected if you are initializing BertForMaskedLM from the checkpoint of a model trained on another task or with another architecture (e.g. initializing a BertForSequenceClassification model from a BertForPreTraining model).\n",
      "- This IS NOT expected if you are initializing BertForMaskedLM from the checkpoint of a model that you expect to be exactly identical (initializing a BertForSequenceClassification model from a BertForSequenceClassification model).\n"
     ]
    }
   ],
   "source": [
    "model_name = 'bert_bin'\n",
    "dataset_name = 'sva'\n",
    "# No dataset to load\n",
    "model, tokenizer, dataset_partition = load_model_data(model_name, dataset_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "text = text.replace('***mask***',tokenizer.mask_token)\n",
    "pt_batch = tokenizer(text, return_tensors=\"pt\").to(device)\n",
    "target_idx = (pt_batch['input_ids'][0] == tokenizer.mask_token_id).nonzero(as_tuple=True)\n",
    "target_idx = target_idx[0].item() # position of the masked verb\n",
    "tokenized_text = tokenizer.convert_ids_to_tokens(pt_batch[\"input_ids\"][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['[CLS]',\n",
       " 'the',\n",
       " 'pictures',\n",
       " 'of',\n",
       " 'some',\n",
       " 'hat',\n",
       " '[MASK]',\n",
       " 'scar',\n",
       " '##ing',\n",
       " 'marcus',\n",
       " '.',\n",
       " '[SEP]']"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tokenized_text"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Tokenize text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['[CLS]', 'abundant', 'wall', 'paintings', 'and', 'icon', '##osta', '##sis', '[MASK]', 'the', 'walls', ',', 'dating', 'after', 'the', 'church', \"'\", 's', 'reconstruction', 'in', '1835', '.', '[SEP]']\n"
     ]
    }
   ],
   "source": [
    "i=8\n",
    "pt_batch, tokenized_text, target_idx = prepare_sva_sentence(i,dataset_partition,tokenizer)\n",
    "input_ids = pt_batch['input_ids']\n",
    "print(tokenized_text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forward pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([1, 23, 1])\n"
     ]
    }
   ],
   "source": [
    "model_wrapped = ModelWrapper(model)\n",
    "prediction_scores, hidden_states, attentions, contributions_data = model_wrapped(pt_batch)\n",
    "if 'bin' in model_name:\n",
    "    print(prediction_scores.size())\n",
    "    prediction_scores = torch.squeeze(prediction_scores)\n",
    "    prob_pred_class = torch.sigmoid(prediction_scores[target_idx])\n",
    "    # if prob_pred_class >= 0.5:\n",
    "    #     pred_class = 1\n",
    "    # else:\n",
    "    #     pred_class = 0\n",
    "    #     prob_pred_class = 1 - prob_pred_class\n",
    "    # print(pred_class)\n",
    "    # print(prob_pred_class)\n",
    "# else:\n",
    "#     probs = torch.nn.functional.softmax(prediction_scores, dim=-1)\n",
    "#     pred_ind = torch.argmax(probs[0][target_idx])\n",
    "#     print(pred_ind)\n",
    "#     pred = torch.max(probs[0][target_idx])\n",
    "#     print('predicted token', tokenizer.convert_ids_to_tokens(pred_ind.item()))\n",
    "#     print('probability of highest predicted token', pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(0.0046, device='cuda:0')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob_pred_class"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "# model_wrapped = ModelWrapper(model)\n",
    "# prediction_scores, hidden_states, attentions, contributions_data = model_wrapped(pt_batch)\n",
    "# if 'bin' in model_name:\n",
    "#     prediction_scores = torch.squeeze(prediction_scores)\n",
    "#     actual_verb_score = torch.sigmoid(prediction_scores[target_idx])\n",
    "#     print(actual_verb_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "diffs = occlusion(model_wrapped, tokenizer, target_idx, prob_pred_class, pt_batch)\n",
    "plot_histogram(diffs,tokenized_text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Getting attention weights, attention vector norms and contributions from ALTI method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # Wrong\n",
    "# _attentions = [att.detach().cpu().numpy() for att in attentions]\n",
    "# attentions_mat = np.asarray(_attentions)[:,0] # (num_layers,num_heads,src_len,src_len)\n",
    "# att_mat_sum_heads = attentions_mat.sum(axis=1)/attentions_mat.shape[1]\n",
    "# print(att_mat_sum_heads.shape)\n",
    "# normalized_model_norms = normalize_contributions(contributions_data['transformed_vectors_norm'],scaling='sum_one')\n",
    "# resultant_norm = resultants_norm = torch.norm(torch.squeeze(contributions_data['resultants']),p=1,dim=-1)\n",
    "# normalized_contributions = normalize_contributions(contributions_data['contributions'],scaling='sum_one',resultant_norm=resultant_norm)#min_sum\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "_attentions = [att.detach().cpu().numpy() for att in attentions]\n",
    "attentions_mat = np.asarray(_attentions)[:,0] # (num_layers,num_heads,src_len,src_len)\n",
    "att_mat_sum_heads = attentions_mat.sum(axis=1)/attentions_mat.shape[1]\n",
    "normalized_model_norms = normalize_contributions(contributions_data['transformed_vectors_norm'],scaling='sum_one')\n",
    "resultant_norm = resultants_norm = torch.norm(torch.squeeze(contributions_data['resultants']),p=1,dim=-1)\n",
    "# ALTI Requires scaling = min_sum\n",
    "normalized_contributions = normalize_contributions(contributions_data['contributions'],scaling='min_sum',resultant_norm=resultant_norm)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Rollout with attention weights (Abnar and Zuidema, 2020)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "joint_attentions = compute_rollout(att_mat_sum_heads)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "layer = -1\n",
    "plt.figure(figsize=(6,6))\n",
    "df = pd.DataFrame(joint_attentions[layer].cpu().detach().numpy(),columns=tokenized_text,index=tokenized_text)\n",
    "sns.heatmap(df,cmap=\"Blues\",square=True)\n",
    "plt.gcf().subplots_adjust(bottom=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "joint_attention_layer = -1\n",
    "pos = target_idx\n",
    "joint_attentions_mask = joint_attentions[joint_attention_layer][pos]\n",
    "plot_histogram(joint_attentions_mask,tokenized_text)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Attention rollout + |T(x_j)| (Kobayashi et al., 2021)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norms_mix = compute_joint_attention(normalized_model_norms)\n",
    "joint_attention_layer = -1\n",
    "pos = target_idx\n",
    "norms_mix_mask = norms_mix[joint_attention_layer][pos]\n",
    "plot_histogram(norms_mix_mask,tokenized_text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "norms_mix = norms_mix.detach().cpu().numpy()\n",
    "plt.figure(figsize=(6,6))\n",
    "joint_attention_layer = -1\n",
    "df = pd.DataFrame(norms_mix[joint_attention_layer],columns=tokenized_text,index=tokenized_text)\n",
    "sns.heatmap(df,cmap=\"Blues\",square=True)\n",
    "plt.gcf().subplots_adjust(bottom=0.2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ALTI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.float32\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1440x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(normalized_contributions.dtype)\n",
    "contributions_mix = compute_joint_attention(normalized_contributions)\n",
    "joint_attention_layer = -1\n",
    "pos = target_idx\n",
    "contributions_mix_mask = contributions_mix[joint_attention_layer][pos]\n",
    "plot_histogram(contributions_mix_mask,tokenized_text)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# # contributions_mix = contributions_mix.detach().cpu().numpy()\n",
    "# # plt.figure(figsize=(8,8))\n",
    "\n",
    "# #joint_attention_normalized_layer = contributions_mix[joint_attention_layer] / joint_attentions[joint_attention_layer].sum(axis=-1)[...,None]\n",
    "# df = pd.DataFrame(np.array(normalized_contributions[0],dtype='float64'),columns=tokenized_text,index=tokenized_text)\n",
    "# sns.heatmap(df,cmap=\"Blues\",square=True)#Reds,,center=0\n",
    "# plt.gcf().subplots_adjust(bottom=0.2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "contributions_mix = contributions_mix.detach().cpu().numpy()\n",
    "plt.figure(figsize=(8,8))\n",
    "\n",
    "#joint_attention_normalized_layer = contributions_mix[joint_attention_layer] / joint_attentions[joint_attention_layer].sum(axis=-1)[...,None]\n",
    "df = pd.DataFrame(np.array(contributions_mix[joint_attention_layer],dtype='float64'),columns=tokenized_text,index=tokenized_text)\n",
    "sns.heatmap(df,cmap=\"Blues\",square=True)#Reds,,center=0\n",
    "plt.gcf().subplots_adjust(bottom=0.2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1800x1368 with 24 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "try:\n",
    "    num_layers = model.config.num_hidden_layers\n",
    "except:\n",
    "    num_layers = model.config.n_layers\n",
    "\n",
    "if num_layers == 12:\n",
    "    fig, axs = plt.subplots(3, 4,figsize=(25,19),sharey=False)\n",
    "    row = 4\n",
    "    col = 4\n",
    "elif num_layers == 6:\n",
    "    fig, axs = plt.subplots(2, 3,figsize=(20,13),sharey=False)\n",
    "    row = 3\n",
    "    col = 3\n",
    "\n",
    "for layer in range(0,num_layers):\n",
    "    df = pd.DataFrame(np.array(contributions_mix[layer],dtype='float64'),columns=tokenized_text,index=tokenized_text)\n",
    "    sns.heatmap(df,cmap=\"Blues\",square=True,ax=axs[int(layer/row),layer%col],cbar_kws={'shrink': 0.8})\n",
    "    axs[int(layer/row),layer%col].set_title('Layer ' + str(layer))\n",
    "    axs[int(layer/row),layer%col].tick_params(axis='x', rotation=90)\n",
    "    plt.gcf().subplots_adjust(bottom=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Other attribution methods with Captum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "bert_model_wrapper = LMModelWrapperCaptum(model)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "grad_attributions = interpret_sentence(bert_model_wrapper, tokenizer, input_ids, 'grad', target_idx)\n",
    "grad_input_attributions = interpret_sentence(bert_model_wrapper, tokenizer, input_ids, 'grad_input',target_idx)\n",
    "grad_ig_attributions = interpret_sentence(bert_model_wrapper, tokenizer, input_ids, 'ig', target_idx)\n",
    "grad_input_attributions = grad_input_attributions['mean']\n",
    "grad_ig_attributions = grad_ig_attributions['mean']\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table width: 100%><div style=\"border-top: 1px solid; margin-top: 5px;             padding-top: 5px; display: inline-block\"><b>Legend: </b><span style=\"display: inline-block; width: 10px; height: 10px;                 border: 1px solid; background-color:                 hsl(0, 75%, 60%)\"></span> Negative  <span style=\"display: inline-block; width: 10px; height: 10px;                 border: 1px solid; background-color:                 hsl(0, 75%, 100%)\"></span> Neutral  <span style=\"display: inline-block; width: 10px; height: 10px;                 border: 1px solid; background-color:                 hsl(120, 75%, 50%)\"></span> Positive  </div><tr><th>True Label</th><th>Predicted Label</th><th>Attribution Label</th><th>Attribution Score</th><th>Word Importance</th><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>3.82</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 74%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 93%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 93%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 91%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 83%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 94%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 98%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 95%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 93%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 98%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 83%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>18.15</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 62%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 59%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 59%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 58%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 59%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 59%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 59%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 57%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 58%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 57%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>16.06</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 64%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 65%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 56%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 72%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 57%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(120, 75%, 64%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 82%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 84%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 55%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 67%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 61%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 64%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(120, 75%, 67%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 66%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 60%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 62%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 67%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 64%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>2.31</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(120, 75%, 76%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 98%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 98%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 82%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>6.46</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 88%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 91%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 76%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 92%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 84%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 90%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 88%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(120, 75%, 84%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 87%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 87%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 90%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 88%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 92%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 93%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 88%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 91%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 87%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 84%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 62%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>1.80</b></text></td><td><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 95%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 92%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 98%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 87%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr><tr><td><text style=\"padding-right:2em\"><b>8</b></text></td><td><text style=\"padding-right:2em\"><b>8 (1.00)</b></text></td><td><text style=\"padding-right:2em\"><b>label</b></text></td><td><text style=\"padding-right:2em\"><b>4.61</b></text></td><td><mark style=\"background-color: hsl(0, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [CLS]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 71%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> abundant                    </font></mark><mark style=\"background-color: hsl(120, 75%, 85%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> wall                    </font></mark><mark style=\"background-color: hsl(120, 75%, 67%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> paintings                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> and                    </font></mark><mark style=\"background-color: hsl(120, 75%, 90%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> icon                    </font></mark><mark style=\"background-color: hsl(120, 75%, 94%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##osta                    </font></mark><mark style=\"background-color: hsl(120, 75%, 91%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ##sis                    </font></mark><mark style=\"background-color: hsl(120, 75%, 97%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [MASK]                    </font></mark><mark style=\"background-color: hsl(120, 75%, 87%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 50%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> walls                    </font></mark><mark style=\"background-color: hsl(120, 75%, 95%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> ,                    </font></mark><mark style=\"background-color: hsl(120, 75%, 81%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> dating                    </font></mark><mark style=\"background-color: hsl(120, 75%, 96%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> after                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> the                    </font></mark><mark style=\"background-color: hsl(120, 75%, 93%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> church                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> '                    </font></mark><mark style=\"background-color: hsl(120, 75%, 100%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> s                    </font></mark><mark style=\"background-color: hsl(120, 75%, 94%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> reconstruction                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> in                    </font></mark><mark style=\"background-color: hsl(120, 75%, 95%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> 1835                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> .                    </font></mark><mark style=\"background-color: hsl(120, 75%, 99%); opacity:1.0;                     line-height:1.75\"><font color=\"black\"> [SEP]                    </font></mark></td><tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# accumalate samples in this array for visualization purposes\n",
    "vis_data_records_ig = []\n",
    "\n",
    "def add_attributions_to_visualizer(attributions, tokens, label, vis_data_records):\n",
    "    pred = 1\n",
    "    attributions_min_max = normalize_attribution_visualization(attributions)\n",
    "    attributions_min_max = attributions_min_max.cpu().detach().numpy()\n",
    "\n",
    "    \n",
    "    # storing couple samples in an array for visualization purposes\n",
    "    vis_data_records.append(visualization.VisualizationDataRecord(\n",
    "                            attributions_min_max,\n",
    "                            pred,\n",
    "                            label,\n",
    "                            label,\n",
    "                            \"label\",\n",
    "                            attributions_min_max.sum(),       \n",
    "                            tokens[:len(attributions_min_max)],\n",
    "                            0))\n",
    "    return attributions_min_max\n",
    "\n",
    "tokens = tokenizer.convert_ids_to_tokens(pt_batch[\"input_ids\"][0].cpu().detach().numpy().tolist())\n",
    "min_max_grad_attributions = add_attributions_to_visualizer(grad_attributions, tokens, target_idx, vis_data_records_ig)\n",
    "min_max_grad_input_attributions = add_attributions_to_visualizer(grad_input_attributions, tokens, target_idx, vis_data_records_ig)\n",
    "min_max_grad_ig_attributions = add_attributions_to_visualizer(grad_ig_attributions, tokens, target_idx, vis_data_records_ig)\n",
    "min_max_joint_attention_rollout_mask = add_attributions_to_visualizer(joint_attentions_mask, tokens, target_idx, vis_data_records_ig)\n",
    "min_max_norm_rollout_mask = add_attributions_to_visualizer(norms_mix_mask, tokens, target_idx, vis_data_records_ig)\n",
    "blankout_mask = add_attributions_to_visualizer(diffs, tokens, target_idx, vis_data_records_ig)\n",
    "min_max_contributions_mix_mask = add_attributions_to_visualizer(contributions_mix_mask, tokens, target_idx, vis_data_records_ig)\n",
    "visualization.visualize_text(vis_data_records_ig);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prepare paper saliency map tables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "attributions_list = []\n",
    "attributions_list.append(min_max_grad_attributions)\n",
    "attributions_list.append(min_max_grad_input_attributions)\n",
    "attributions_list.append(min_max_grad_ig_attributions)\n",
    "attributions_list.append(min_max_joint_attention_rollout_mask)\n",
    "attributions_list.append(min_max_norm_rollout_mask)\n",
    "attributions_list.append(blankout_mask)\n",
    "attributions_list.append(min_max_contributions_mix_mask)\n",
    "prepare_colorize()\n",
    "methods_list = [0,1,2,5,6]\n",
    "methods_dict = {0:'$\\\\text{Grad}_{l2}$', 1:'Grad $\\\\cdot$ input', 2:'Integrated Gradients', 3:'Attn Rollout', 4:'Norm Rollout', 5: 'Blank-out', 6:'ALTI'}\n",
    "figure_saliency(attributions_list, tokenized_text,methods_list,methods_dict)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Correlation between methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading distilbert ...\n",
      "Loading sva ...\n"
     ]
    }
   ],
   "source": [
    "!python correlations.py distilbert sva 500"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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