visualize_attn.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "24bce16b-d62f-4738-ac21-301d04e59420",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import pandas as pd\n",
    "import scienceplots\n",
    "import torch\n",
    "import sys\n",
    "from options import parse_option\n",
    "\n",
    "mpl.rcParams['figure.dpi'] = 200\n",
    "plt.style.use(['science'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "42fc41cf-1645-485c-a72f-2fc28b5ba5fd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.nn.functional as F\n",
    "\n",
    "def compute_selfattention(transformer_encoder,x,mask,src_key_padding_mask,i_layer,d_model,num_heads):\n",
    "    h = F.linear(x, transformer_encoder.layers[i_layer].self_attn.in_proj_weight, bias=transformer_encoder.layers[i_layer].self_attn.in_proj_bias)\n",
    "    qkv = h.reshape(x.shape[0], x.shape[1], num_heads, 3 * d_model//num_heads)\n",
    "    qkv = qkv.permute(0, 2, 1, 3)  # [Batch, Head, SeqLen, Dims]\n",
    "    q, k, v = qkv.chunk(3, dim=-1) # [Batch, Head, SeqLen, d_head=d_model//num_heads]\n",
    "    attn_logits = torch.matmul(q, k.transpose(-2, -1)) # [Batch, Head, SeqLen, SeqLen]\n",
    "    d_k = q.size()[-1]\n",
    "    attn_probs = attn_logits / math.sqrt(d_k)\n",
    "    # combining src_mask e.g. upper triangular with src_key_padding_mask e.g. columns over each padding position\n",
    "    combined_mask = torch.zeros_like(attn_probs)\n",
    "    if mask is not None:\n",
    "        combined_mask += mask.float() # assume mask of shape (seq_len,seq_len)\n",
    "    if src_key_padding_mask is not None:\n",
    "        combined_mask += src_key_padding_mask.float().unsqueeze(1).unsqueeze(1).repeat(1,num_heads,x.shape[1],1)\n",
    "        # assume shape (batch_size,seq_len), repeating along head and line dimensions == \"column\" mask\n",
    "    combined_mask = torch.where(combined_mask>0,torch.zeros_like(combined_mask)-float(\"inf\"),torch.zeros_like(combined_mask))\n",
    "    # setting masked logits to -inf before softmax\n",
    "    attn_probs += combined_mask\n",
    "    attn_probs = F.softmax(attn_probs, dim=-1)\n",
    "    return attn_logits,attn_probs\n",
    "\n",
    "def extract_selfattention_maps(transformer_encoder,x,mask,src_key_padding_mask):\n",
    "    attn_logits_maps = []\n",
    "    attn_probs_maps = []\n",
    "    num_layers = transformer_encoder.num_layers\n",
    "    d_model = transformer_encoder.layers[0].self_attn.embed_dim\n",
    "    num_heads = transformer_encoder.layers[0].self_attn.num_heads\n",
    "    norm_first = transformer_encoder.layers[0].norm_first\n",
    "    with torch.no_grad():\n",
    "        for i in range(num_layers):\n",
    "            # compute attention of layer i\n",
    "            h = x.clone()\n",
    "            if norm_first:\n",
    "                h = transformer_encoder.layers[i].norm1(h)\n",
    "            # attn = transformer_encoder.layers[i].self_attn(h, h, h,attn_mask=mask,key_padding_mask=src_key_padding_mask,need_weights=True)[1]\n",
    "            # attention_maps.append(attn) # of shape [batch_size,seq_len,seq_len]\n",
    "            attn_logits,attn_probs = compute_selfattention(transformer_encoder,h,mask,src_key_padding_mask,i,d_model,num_heads)\n",
    "            attn_logits_maps.append(attn_logits) # of shape [batch_size,num_heads,seq_len,seq_len]\n",
    "            attn_probs_maps.append(attn_probs)\n",
    "            # forward of layer i\n",
    "            x = transformer_encoder.layers[i](x,src_mask=mask,src_key_padding_mask=src_key_padding_mask)\n",
    "    return attn_logits_maps,attn_probs_maps\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "4857f6d1-4452-4a0b-9dac-17639075ded6",
   "metadata": {},
   "outputs": [],
   "source": [
    "from model import TransformerModel\n",
    "model_path = 'best_model_counting_nlayers4'\n",
    "ntokens = 2\n",
    "d_model = 16\n",
    "nheads = 2\n",
    "emsize = 16\n",
    "nlayers = 4\n",
    "model = TransformerModel(\n",
    "    ntokens, d_model, nheads, emsize, nlayers, 2, 0.2\n",
    ")\n",
    "\n",
    "state_dict = torch.load(model_path,map_location=torch.device('cpu'))\n",
    "model.load_state_dict(state_dict)\n",
    "model.eval()\n",
    "\n",
    "transformer_encoder = model.transformer_encoder\n",
    "embedding = model.embedding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "a36a276b-9ec6-4496-a712-9f2583cdf694",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([3, 16, 1])\n",
      "torch.Size([3, 16, 16])\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/torch/nn/modules/transformer.py:562: UserWarning: Converting mask without torch.bool dtype to bool; this will negatively affect performance. Prefer to use a boolean mask directly. (Triggered internally at /Users/runner/work/pytorch/pytorch/pytorch/aten/src/ATen/native/transformers/attention.cpp:152.)\n",
      "  return torch._transformer_encoder_layer_fwd(\n"
     ]
    }
   ],
   "source": [
    "batch_size = 3\n",
    "seq_len = 16 \n",
    "\n",
    "#x = torch.randn((batch_size,seq_len,d_model))\n",
    "binary_sequence = torch.randint(0,2, (batch_size,seq_len,1))\n",
    "print(binary_sequence.shape)\n",
    "x = embedding(binary_sequence).squeeze()\n",
    "print(x.shape)\n",
    "\n",
    "src_mask = torch.zeros((seq_len,seq_len)).bool()\n",
    "# src_mask can also be of shape (N⋅num_heads,L,S) where L/S are the target/source sequence lengths\n",
    "# -> allows different masking per element in the batch\n",
    "src_key_padding_mask = torch.zeros((batch_size,seq_len)).bool()\n",
    "\n",
    "attn_logits_maps,attn_probs_maps = extract_selfattention_maps(transformer_encoder,x,src_mask,src_key_padding_mask)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "b8432cc6-244d-44d2-94bb-f381ffce86b7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631],\n",
      "        [0.0631, 0.0621, 0.0631, 0.0631, 0.0621, 0.0631, 0.0621, 0.0621, 0.0621,\n",
      "         0.0621, 0.0631, 0.0621, 0.0631, 0.0621, 0.0631, 0.0621],\n",
      "        [0.0618, 0.0631, 0.0618, 0.0618, 0.0631, 0.0618, 0.0631, 0.0631, 0.0631,\n",
      "         0.0631, 0.0618, 0.0631, 0.0618, 0.0631, 0.0618, 0.0631]])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334],\n",
      "        [0.1018, 0.0319, 0.1018, 0.1018, 0.0319, 0.1018, 0.0319, 0.0319, 0.0319,\n",
      "         0.0319, 0.1018, 0.0319, 0.1018, 0.0319, 0.1018, 0.0319],\n",
      "        [0.0999, 0.0334, 0.0999, 0.0999, 0.0334, 0.0999, 0.0334, 0.0334, 0.0334,\n",
      "         0.0334, 0.0999, 0.0334, 0.0999, 0.0334, 0.0999, 0.0334]])\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338],\n",
      "        [0.0883, 0.0425, 0.0883, 0.0883, 0.0425, 0.0883, 0.0425, 0.0425, 0.0425,\n",
      "         0.0425, 0.0883, 0.0425, 0.0883, 0.0425, 0.0883, 0.0425],\n",
      "        [0.0994, 0.0338, 0.0994, 0.0994, 0.0338, 0.0994, 0.0338, 0.0338, 0.0338,\n",
      "         0.0338, 0.0994, 0.0338, 0.0994, 0.0338, 0.0994, 0.0338]])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696],\n",
      "        [0.0701, 0.0566, 0.0701, 0.0701, 0.0566, 0.0701, 0.0566, 0.0566, 0.0566,\n",
      "         0.0566, 0.0701, 0.0566, 0.0701, 0.0566, 0.0701, 0.0566],\n",
      "        [0.0534, 0.0696, 0.0534, 0.0534, 0.0696, 0.0534, 0.0696, 0.0696, 0.0696,\n",
      "         0.0696, 0.0534, 0.0696, 0.0534, 0.0696, 0.0534, 0.0696]])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983],\n",
      "        [0.0130, 0.1010, 0.0130, 0.0130, 0.1010, 0.0130, 0.1010, 0.1010, 0.1010,\n",
      "         0.1010, 0.0130, 0.1010, 0.0130, 0.1010, 0.0130, 0.1010],\n",
      "        [0.0165, 0.0983, 0.0165, 0.0165, 0.0983, 0.0165, 0.0983, 0.0983, 0.0983,\n",
      "         0.0983, 0.0165, 0.0983, 0.0165, 0.0983, 0.0165, 0.0983]])\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658],\n",
      "        [0.0565, 0.0672, 0.0565, 0.0565, 0.0672, 0.0565, 0.0672, 0.0672, 0.0672,\n",
      "         0.0672, 0.0565, 0.0672, 0.0565, 0.0672, 0.0565, 0.0672],\n",
      "        [0.0583, 0.0658, 0.0583, 0.0583, 0.0658, 0.0583, 0.0658, 0.0658, 0.0658,\n",
      "         0.0658, 0.0583, 0.0658, 0.0583, 0.0658, 0.0583, 0.0658]])\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513],\n",
      "        [0.0816, 0.0476, 0.0816, 0.0816, 0.0476, 0.0816, 0.0476, 0.0476, 0.0476,\n",
      "         0.0476, 0.0816, 0.0476, 0.0816, 0.0476, 0.0816, 0.0476],\n",
      "        [0.0769, 0.0513, 0.0769, 0.0769, 0.0513, 0.0769, 0.0513, 0.0513, 0.0513,\n",
      "         0.0513, 0.0769, 0.0513, 0.0769, 0.0513, 0.0769, 0.0513]])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x525 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for h in range(nheads):\n",
    "    for nb_layer, a in enumerate(attn_probs_maps):\n",
    "        print(a[0,h])\n",
    "        plt.imshow(a[0,h], cmap='viridis', interpolation='nearest')\n",
    "        plt.colorbar()\n",
    "        if seq_len <= 16:\n",
    "            b = np.array(binary_sequence[0].squeeze())\n",
    "            plt.xticks(np.arange(seq_len), b)\n",
    "            plt.yticks(np.arange(seq_len), b)\n",
    "        plt.title(f'Attention map for head $h={h+1}$ at layer {nb_layer+1}')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6dbbef55-75cc-4948-bb62-174de7c67c38",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}