05_text-generation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Uncomment and run this cell if you're on Colab or Kaggle\n",
    "# !git clone https://github.com/nlp-with-transformers/notebooks.git\n",
    "# %cd notebooks\n",
    "# from install import *\n",
    "# install_requirements()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using transformers v4.11.3\n",
      "Using datasets v1.13.0\n",
      "Using accelerate v0.5.1\n"
     ]
    }
   ],
   "source": [
    "# hide\n",
    "from utils import *\n",
    "setup_chapter()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Text Generation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Challenge with Generating Coherent Text"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Greedy Search Decoding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide_output\n",
    "import torch\n",
    "from transformers import AutoTokenizer, AutoModelForCausalLM\n",
    "\n",
    "device = \"cuda\" if torch.cuda.is_available() else \"cpu\"\n",
    "model_name = \"gpt2-xl\"\n",
    "tokenizer = AutoTokenizer.from_pretrained(model_name)\n",
    "model = AutoModelForCausalLM.from_pretrained(model_name).to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Input</th>\n",
       "      <th>Choice 1</th>\n",
       "      <th>Choice 2</th>\n",
       "      <th>Choice 3</th>\n",
       "      <th>Choice 4</th>\n",
       "      <th>Choice 5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Transformers are the</td>\n",
       "      <td>most (8.53%)</td>\n",
       "      <td>only (4.96%)</td>\n",
       "      <td>best (4.65%)</td>\n",
       "      <td>Transformers (4.37%)</td>\n",
       "      <td>ultimate (2.16%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Transformers are the most</td>\n",
       "      <td>popular (16.78%)</td>\n",
       "      <td>powerful (5.37%)</td>\n",
       "      <td>common (4.96%)</td>\n",
       "      <td>famous (3.72%)</td>\n",
       "      <td>successful (3.20%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Transformers are the most popular</td>\n",
       "      <td>toy (10.63%)</td>\n",
       "      <td>toys (7.23%)</td>\n",
       "      <td>Transformers (6.60%)</td>\n",
       "      <td>of (5.46%)</td>\n",
       "      <td>and (3.76%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Transformers are the most popular toy</td>\n",
       "      <td>line (34.38%)</td>\n",
       "      <td>in (18.20%)</td>\n",
       "      <td>of (11.71%)</td>\n",
       "      <td>brand (6.10%)</td>\n",
       "      <td>line (2.69%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Transformers are the most popular toy line</td>\n",
       "      <td>in (46.28%)</td>\n",
       "      <td>of (15.09%)</td>\n",
       "      <td>, (4.94%)</td>\n",
       "      <td>on (4.40%)</td>\n",
       "      <td>ever (2.72%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Transformers are the most popular toy line in</td>\n",
       "      <td>the (65.99%)</td>\n",
       "      <td>history (12.42%)</td>\n",
       "      <td>America (6.91%)</td>\n",
       "      <td>Japan (2.44%)</td>\n",
       "      <td>North (1.40%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Transformers are the most popular toy line in the</td>\n",
       "      <td>world (69.26%)</td>\n",
       "      <td>United (4.55%)</td>\n",
       "      <td>history (4.29%)</td>\n",
       "      <td>US (4.23%)</td>\n",
       "      <td>U (2.30%)</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Transformers are the most popular toy line in ...</td>\n",
       "      <td>, (39.73%)</td>\n",
       "      <td>. (30.64%)</td>\n",
       "      <td>and (9.87%)</td>\n",
       "      <td>with (2.32%)</td>\n",
       "      <td>today (1.74%)</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                               Input           Choice 1  \\\n",
       "0                               Transformers are the       most (8.53%)   \n",
       "1                          Transformers are the most   popular (16.78%)   \n",
       "2                  Transformers are the most popular       toy (10.63%)   \n",
       "3              Transformers are the most popular toy      line (34.38%)   \n",
       "4         Transformers are the most popular toy line        in (46.28%)   \n",
       "5      Transformers are the most popular toy line in       the (65.99%)   \n",
       "6  Transformers are the most popular toy line in the     world (69.26%)   \n",
       "7  Transformers are the most popular toy line in ...         , (39.73%)   \n",
       "\n",
       "            Choice 2               Choice 3               Choice 4  \\\n",
       "0       only (4.96%)           best (4.65%)   Transformers (4.37%)   \n",
       "1   powerful (5.37%)         common (4.96%)         famous (3.72%)   \n",
       "2       toys (7.23%)   Transformers (6.60%)             of (5.46%)   \n",
       "3        in (18.20%)            of (11.71%)          brand (6.10%)   \n",
       "4        of (15.09%)              , (4.94%)             on (4.40%)   \n",
       "5   history (12.42%)        America (6.91%)          Japan (2.44%)   \n",
       "6     United (4.55%)        history (4.29%)             US (4.23%)   \n",
       "7         . (30.64%)            and (9.87%)           with (2.32%)   \n",
       "\n",
       "              Choice 5  \n",
       "0     ultimate (2.16%)  \n",
       "1   successful (3.20%)  \n",
       "2          and (3.76%)  \n",
       "3         line (2.69%)  \n",
       "4         ever (2.72%)  \n",
       "5        North (1.40%)  \n",
       "6            U (2.30%)  \n",
       "7        today (1.74%)  "
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# hide_output\n",
    "import pandas as pd\n",
    "\n",
    "input_txt = \"Transformers are the\"\n",
    "input_ids = tokenizer(input_txt, return_tensors=\"pt\")[\"input_ids\"].to(device)\n",
    "iterations = []\n",
    "n_steps = 8\n",
    "choices_per_step = 5\n",
    "\n",
    "with torch.no_grad():\n",
    "    for _ in range(n_steps):\n",
    "        iteration = dict()\n",
    "        iteration[\"Input\"] = tokenizer.decode(input_ids[0])\n",
    "        output = model(input_ids=input_ids)\n",
    "        # Select logits of the first batch and the last token and apply softmax\n",
    "        next_token_logits = output.logits[0, -1, :]\n",
    "        next_token_probs = torch.softmax(next_token_logits, dim=-1)\n",
    "        sorted_ids = torch.argsort(next_token_probs, dim=-1, descending=True)\n",
    "        # Store tokens with highest probabilities\n",
    "        for choice_idx in range(choices_per_step):\n",
    "            token_id = sorted_ids[choice_idx]\n",
    "            token_prob = next_token_probs[token_id].cpu().numpy()\n",
    "            token_choice = (\n",
    "                f\"{tokenizer.decode(token_id)} ({100 * token_prob:.2f}%)\"\n",
    "            )\n",
    "            iteration[f\"Choice {choice_idx+1}\"] = token_choice\n",
    "        # Append predicted next token to input\n",
    "        input_ids = torch.cat([input_ids, sorted_ids[None, 0, None]], dim=-1)\n",
    "        iterations.append(iteration)\n",
    "        \n",
    "pd.DataFrame(iterations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transformers are the most popular toy line in the world,\n"
     ]
    }
   ],
   "source": [
    "input_ids = tokenizer(input_txt, return_tensors=\"pt\")[\"input_ids\"].to(device)\n",
    "output = model.generate(input_ids, max_new_tokens=n_steps, do_sample=False)\n",
    "print(tokenizer.decode(output[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The researchers, from the University of California, Davis, and the University of\n",
      "Colorado, Boulder, were conducting a study on the Andean cloud forest, which is\n",
      "home to the rare species of cloud forest trees.\n",
      "\n",
      "\n",
      "The researchers were surprised to find that the unicorns were able to\n",
      "communicate with each other, and even with humans.\n",
      "\n",
      "\n",
      "The researchers were surprised to find that the unicorns were able\n"
     ]
    }
   ],
   "source": [
    "max_length = 128\n",
    "input_txt = \"\"\"In a shocking finding, scientist discovered \\\n",
    "a herd of unicorns living in a remote, previously unexplored \\\n",
    "valley, in the Andes Mountains. Even more surprising to the \\\n",
    "researchers was the fact that the unicorns spoke perfect English.\\n\\n\n",
    "\"\"\"\n",
    "input_ids = tokenizer(input_txt, return_tensors=\"pt\")[\"input_ids\"].to(device)\n",
    "output_greedy = model.generate(input_ids, max_length=max_length, \n",
    "                               do_sample=False)\n",
    "print(tokenizer.decode(output_greedy[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Beam Search Decoding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.562684646268003e-309"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.5 ** 1024"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-709.7827128933695"
      ]
     },
     "execution_count": null,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "sum([np.log(0.5)] * 1024)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch.nn.functional as F\n",
    "\n",
    "def log_probs_from_logits(logits, labels):\n",
    "    logp = F.log_softmax(logits, dim=-1)\n",
    "    logp_label = torch.gather(logp, 2, labels.unsqueeze(2)).squeeze(-1)\n",
    "    return logp_label"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sequence_logprob(model, labels, input_len=0):\n",
    "    with torch.no_grad():\n",
    "        output = model(labels)\n",
    "        log_probs = log_probs_from_logits(\n",
    "            output.logits[:, :-1, :], labels[:, 1:])\n",
    "        seq_log_prob = torch.sum(log_probs[:, input_len:])\n",
    "    return seq_log_prob.cpu().numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The researchers, from the University of California, Davis, and the University of\n",
      "Colorado, Boulder, were conducting a study on the Andean cloud forest, which is\n",
      "home to the rare species of cloud forest trees.\n",
      "\n",
      "\n",
      "The researchers were surprised to find that the unicorns were able to\n",
      "communicate with each other, and even with humans.\n",
      "\n",
      "\n",
      "The researchers were surprised to find that the unicorns were able\n",
      "\n",
      "log-prob: -87.43\n"
     ]
    }
   ],
   "source": [
    "logp = sequence_logprob(model, output_greedy, input_len=len(input_ids[0]))\n",
    "print(tokenizer.decode(output_greedy[0]))\n",
    "print(f\"\\nlog-prob: {logp:.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The discovery of the unicorns was made by a team of scientists from the\n",
      "University of California, Santa Cruz, and the National Geographic Society.\n",
      "\n",
      "\n",
      "The scientists were conducting a study of the Andes Mountains when they\n",
      "discovered a herd of unicorns living in a remote, previously unexplored valley,\n",
      "in the Andes Mountains. Even more surprising to the researchers was the fact\n",
      "that the unicorns spoke perfect English\n",
      "\n",
      "log-prob: -55.23\n"
     ]
    }
   ],
   "source": [
    "output_beam = model.generate(input_ids, max_length=max_length, num_beams=5, \n",
    "                             do_sample=False)\n",
    "logp = sequence_logprob(model, output_beam, input_len=len(input_ids[0]))\n",
    "print(tokenizer.decode(output_beam[0]))\n",
    "print(f\"\\nlog-prob: {logp:.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The discovery was made by a team of scientists from the University of\n",
      "California, Santa Cruz, and the National Geographic Society.\n",
      "\n",
      "According to a press release, the scientists were conducting a survey of the\n",
      "area when they came across the herd. They were surprised to find that they were\n",
      "able to converse with the animals in English, even though they had never seen a\n",
      "unicorn in person before. The researchers were\n",
      "\n",
      "log-prob: -93.12\n"
     ]
    }
   ],
   "source": [
    "output_beam = model.generate(input_ids, max_length=max_length, num_beams=5, \n",
    "                             do_sample=False, no_repeat_ngram_size=2)\n",
    "logp = sequence_logprob(model, output_beam, input_len=len(input_ids[0]))\n",
    "print(tokenizer.decode(output_beam[0]))\n",
    "print(f\"\\nlog-prob: {logp:.2f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling Methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/pdf": 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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#hide_input\n",
    "\n",
    "#id temperature\n",
    "#alt Token probabilities as a function of temperature\n",
    "#caption Distribution of randomly generated token probabilities for three selected temperatures\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "def softmax(logits, T=1):\n",
    "    e_x = np.exp(logits / T)\n",
    "    return e_x / e_x.sum()\n",
    "\n",
    "logits = np.exp(np.random.random(1000))\n",
    "sorted_logits = np.sort(logits)[::-1]\n",
    "x = np.arange(1000)\n",
    "\n",
    "for T in [0.5, 1.0, 2.0]:\n",
    "    plt.step(x, softmax(sorted_logits, T), label=f\"T={T}\")\n",
    "plt.legend(loc=\"best\")\n",
    "plt.xlabel(\"Sorted token probabilities\")\n",
    "plt.ylabel(\"Probability\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "torch.manual_seed(42);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "While the station aren protagonist receive Pengala nostalgiates tidbitRegarding\n",
      "Jenny loclonju AgreementCON irrational �rite Continent seaf A jer Turner\n",
      "Dorbecue WILL Pumpkin mere Thatvernuildagain YoAniamond disse *\n",
      "Runewitingkusstemprop});b zo coachinginventorymodules deflation press\n",
      "Vaticanpres Wrestling chargesThingsctureddong Ty physician PET KimBi66 graz Oz\n",
      "at aff da temporou MD6 radi iter\n"
     ]
    }
   ],
   "source": [
    "output_temp = model.generate(input_ids, max_length=max_length, do_sample=True, \n",
    "                             temperature=2.0, top_k=0)\n",
    "print(tokenizer.decode(output_temp[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "torch.manual_seed(42);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The scientists were searching for the source of the mysterious sound, which was\n",
      "making the animals laugh and cry.\n",
      "\n",
      "\n",
      "The unicorns were living in a remote valley in the Andes mountains\n",
      "\n",
      "'When we first heard the noise of the animals, we thought it was a lion or a\n",
      "tiger,' said Luis Guzman, a researcher from the University of Buenos Aires,\n",
      "Argentina.\n",
      "\n",
      "\n",
      "'But when\n"
     ]
    }
   ],
   "source": [
    "output_temp = model.generate(input_ids, max_length=max_length, do_sample=True, \n",
    "                             temperature=0.5, top_k=0)\n",
    "print(tokenizer.decode(output_temp[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Top-k and Nucleus Sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "torch.manual_seed(42);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "input_txt = \"\"\"In a shocking finding, scientist discovered \\\n",
    "a herd of unicorns living in a remote, previously unexplored \\\n",
    "valley, in the Andes Mountains. Even more surprising to the \\\n",
    "researchers was the fact that the unicorns spoke perfect English.\\n\\n\n",
    "\"\"\"\n",
    "input_ids = tokenizer(input_txt, return_tensors=\"pt\")[\"input_ids\"].to(device)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "import torch.nn.functional as F\n",
    "\n",
    "with torch.no_grad():\n",
    "    output = model(input_ids=input_ids)\n",
    "    next_token_logits = output.logits[:, -1, :]\n",
    "    probs = F.softmax(next_token_logits, dim=-1).detach().cpu().numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 720x252 with 2 Axes>"
      ]
     },
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   ],
   "source": [
    "# hide_input\n",
    "\n",
    "#id distribution\n",
    "#alt Probability distribution of next token prediction.\n",
    "#caption Probability distribution of next token prediction (left) and cumulative distribution of descending token probabilities\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(10, 3.5))\n",
    "\n",
    "axes[0].hist(probs[0], bins=np.logspace(-10, -1, 100), color=\"C0\", edgecolor=\"C0\")\n",
    "axes[0].set_xscale(\"log\")\n",
    "axes[0].set_yscale(\"log\")\n",
    "axes[0].set_title(\"Probability distribution\")\n",
    "axes[0].set_xlabel(\"Probability\")\n",
    "axes[0].set_ylabel(\"Count\")\n",
    "#axes[0].grid(which=\"major\")\n",
    "\n",
    "axes[1].plot(np.cumsum(np.sort(probs[0])[::-1]), color=\"black\")\n",
    "axes[1].set_xlim([0, 10000])\n",
    "axes[1].set_ylim([0.75, 1.01])\n",
    "axes[1].set_title(\"Cumulative probability\")\n",
    "axes[1].set_ylabel(\"Probability\")\n",
    "axes[1].set_xlabel(\"Token (descending probability)\")\n",
    "#axes[1].grid(which=\"major\")\n",
    "axes[1].minorticks_on()\n",
    "#axes[1].grid(which='minor', linewidth='0.5')\n",
    "top_k_label = 'top-k threshold (k=2000)'\n",
    "top_p_label = 'nucleus threshold (p=0.95)'\n",
    "axes[1].vlines(x=2000, ymin=0, ymax=2, color='C0', label=top_k_label)\n",
    "axes[1].hlines(y=0.95, xmin=0, xmax=10000, color='C1', label=top_p_label, linestyle='--')\n",
    "axes[1].legend(loc='lower right')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "torch.manual_seed(42);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The wild unicorns roam the Andes Mountains in the region of Cajamarca, on the\n",
      "border with Argentina (Picture: Alamy/Ecole Nationale Supérieure d'Histoire\n",
      "Naturelle)\n",
      "\n",
      "The researchers came across about 50 of the animals in the valley. They had\n",
      "lived in such a remote and isolated area at that location for nearly a thousand\n",
      "years that\n"
     ]
    }
   ],
   "source": [
    "output_topk = model.generate(input_ids, max_length=max_length, do_sample=True, \n",
    "                             top_k=50)\n",
    "print(tokenizer.decode(output_topk[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# hide\n",
    "torch.manual_seed(42);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "In a shocking finding, scientist discovered a herd of unicorns living in a\n",
      "remote, previously unexplored valley, in the Andes Mountains. Even more\n",
      "surprising to the researchers was the fact that the unicorns spoke perfect\n",
      "English.\n",
      "\n",
      "\n",
      "The scientists studied the DNA of the animals and came to the conclusion that\n",
      "the herd are descendants of a prehistoric herd that lived in Argentina about\n",
      "50,000 years ago.\n",
      "\n",
      "\n",
      "According to the scientific analysis, the first humans who migrated to South\n",
      "America migrated into the Andes Mountains from South Africa and Australia, after\n",
      "the last ice age had ended.\n",
      "\n",
      "\n",
      "Since their migration, the animals have been adapting to\n"
     ]
    }
   ],
   "source": [
    "output_topp = model.generate(input_ids, max_length=max_length, do_sample=True, \n",
    "                             top_p=0.90)\n",
    "print(tokenizer.decode(output_topp[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Which Decoding Method Is Best?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion"
   ]
  }
 ],
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