notebooks/deep-learning/temperature_scaled_softmax.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cd19cc85",
   "metadata": {},
   "source": [
    "### **Temperature-Scaled Softmax**\n",
    "- **Formula:**  \n",
    "  $P(y_i \\mid \\mathbf{z}) = \\frac{\\exp(z_i / T)}{\\sum_{j=1}^n \\exp(z_j / T)}$  \n",
    "- **Key Points:**  \n",
    "  - $T > 1$: Flattens probabilities → More exploration (creativity).  \n",
    "  - $T < 1$: Sharpens probabilities → More confident predictions.  \n",
    "\n",
    "---\n",
    "\n",
    "### **Multinomial Distribution + Creativity**\n",
    "- **Process:**  \n",
    "  1. Apply temperature-scaled softmax to logits.  \n",
    "  2. Use multinomial sampling to pick an output.  \n",
    "- **Effect of $T$:**  \n",
    "  - High $T$: Diverse, creative outputs.  \n",
    "  - Low $T$: Predictable, focused outputs.  \n",
    "\n",
    "---\n",
    "\n",
    "### **Applications:**\n",
    "1. **Text Generation (e.g., GPT):** Control creativity.  \n",
    "2. **Action Selection (RL):** Balance exploration/exploitation.  \n",
    "3. **Creative Models:** Diverse music, image outputs.  \n",
    "\n",
    "**Key:** $T$ is the creativity knob!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "400e2666-0002-42d9-8769-4df9b93de82a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Seed for reproducibility\n",
    "np.random.seed(1)\n",
    "plt.style.use('dark_background')\n",
    "\n",
    "# Tokens, logits, and colors\n",
    "tokens = ['A', 'B', 'C', 'D']\n",
    "logits = np.array([3, 2, 1, -1])\n",
    "colors = ['magenta', 'teal', 'cyan', 'skyblue']\n",
    "\n",
    "# Softmax function with temperature scaling\n",
    "def softmax_with_temperature(logits, T):\n",
    "    \"\"\"Compute the softmax probabilities with \n",
    "    temperature scaling.\"\"\"\n",
    "    scaled_logits = logits / T\n",
    "    exp_logits = np.exp(\n",
    "        scaled_logits - np.max(scaled_logits)\n",
    "    )  # For numerical stability\n",
    "    return exp_logits / exp_logits.sum()\n",
    "\n",
    "# Function to sample from probabilities\n",
    "def sample_from_probabilities(probs):\n",
    "    \"\"\"Sample an index from the given probability \n",
    "    values of multinomial distribution.\"\"\"\n",
    "    return np.random.choice(len(probs), p=probs)\n",
    "\n",
    "# Temperatures to visualize\n",
    "temperatures = [0.5, 0.75, 1, 1.5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c20ddf05-48b8-4ed4-b70e-1162b1a8c6c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
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7+3Ikv6x47lOGj4+P8fLLLxt79uxJdb2bN28aM2bMMGrVqmUdZ+//B448xvRee85EYGCg8eabbxobN25M9fd+261bt4z169cbw4YNM0qWLGkzl733vrNSvibSCi8vL6NXr17GkiVLjOvXr6c57+HDh43Ro0cbwcHBGX6+g4ODjS+++MI4f/58qutFR0cbn3zyiRESEpIpz1t2iHz58hkxMTGmx7Nq1SrTMSk/xy9cuGD4+vp6PHeCIAiCIAiCIO6+WLx4sc3fXG3btvVILs2aNTM+/PBDY+PGjUZCQkKaf68ahmGcOHHC+Pzzz40yZcq4tF56tbgSJUoYX331lREbG5tqDvv27TN69eqV5jq1atUypk+fbty4cSPVedatW2c0a9bM6cdgr05158/vu+8+Y/HixWnWLjZv3mwMGDDApd9heuu7e1zKem/Kc0Ph4eHGkiVLjMTExFQf765du4wnn3zSLa/ZPn36GH/99VeqayUlJRlr1qwxOnXqZBp39OhR03ERERGZ+t7KDu/z9OqbqUVavyuLxWI888wzadYWr1y5YnzxxRdGoUKFUl0jICDAeOutt4yTJ0+mOs/Zs2eNoUOHGt7e3k6/RlJyta6VkiPnsDJ6zqFUqVLGiy++aMydO9eIjo5O9fdzW1xcnLFw4UKjXbt2GXpsrkjt9+qu91uJEiWMzz77zDh8+HCaecTGxhqzZ8926VyUlP7nY/ny5Y2JEycacXFxqeZw9uxZ46233jLy58+f6e9tezFq1ChTPjExMS6dM3Pl/ZXZn6c5MVJ+/hqGa+dKHYljx46Z1vnhhx88/vgJgiByYHg8AYIgCILI8cEm8/QjN24y9/X1NY4cOWL6WWJiolG9enWH5nbXJvNKlSoZf/zxh81c6UlMTDTGjx9v5M2bN9012rdvb7PR+fz580aJEiUcztPLy8tYsmSJTR6ffvqpzbG5fZN5165d0ywup2bnzp1GixYtnForowXfWrVqGSdOnLCZY/LkyeluTsyK1+7tSKuw/thjjxmXLl1yeP2oqCijSZMmWfq6ctdnbJs2bWzmiY+Pt3tsaidh/P39jZkzZ6b7e0orv6x87u+MunXrGjt27HB4vYSEBOONN94wJM9uMrdYLMawYcOcep3e6datW0ajRo3Sfe87y9ETc+3btzd27drl9PyxsbHGSy+95PL7plu3bkZUVJTD60VFRRnt27fP8PNm7/3q6RMN9h5P//79TcfY+/Jcly5dPJo3QRAEQRAEQRB3Z8ydO9fm74+BAwdmaQ733Xefcfz4cYf/ZkwpISHBGDVqlOHl5eXUumnV4h599NE0L4CQ0vTp0408efLYrPHWW2+l++X025KSkow333zTqceQ2mZEi8VijBs3zuH8DcMw1qxZY5QrV84t62fWuNQ2mefJk8f44YcfnHq8ixcvdnkDZmhoqLFmzRqn1ps2bZqRL18+Q8r6TebZ4X3u7k3mJUqUMDZs2ODw7//EiROmi1jcjnvuucdmU2RaNmzYYBQsWNDhx52TN5mvWbMmzYvupOfPP/80SpUq5dJjc0VmbTK3WCzGO++8k+am7tQsWLDA6S9CpfX5OHjw4HQvGnKnI0eOGBUrVszS97okY8uWLTa/h8xYh03mjkVWbjJPudapU6c8/vgJgiByWlgEAACATHHr1i299dZbpj5vb299+OGHWZZDq1at9Ndff6ljx45Oj/X29tbAgQO1evVqFS1aNM1jlyxZotGjR5v6ihYtql9//VUWi2P/5Bw+fLjatWtn6tu4caNee+015xK/yw0fPlzTp09X6dKlnR5bs2ZNLVu2TD169MiEzGy1bdtWf/75p8qUKWPqf++999S7d2/dunUr1bFZ9dpNz6BBgzRz5kwVKlTI4TEhISFavny56tSpk6G1PaFgwYI2fTExMQ6Pz58/v1asWKHHH3/c5Rw89dw3bNhQkZGRqlWrlsNjfH19NXr0aJvPv6wUFBSkxYsX6/3333fqdXonHx8f5c+f382ZOebll1/WH3/8oRo1ajg9NjAwUF988YXGjx8vb29vp8Y+/fTTmjp1qkJCQhweExISot9//12dOnVyNtVsb8CAAab29evXNXPmTFPfL7/8YvO5nXIcAAAAALjDuXPnbPq6du2apTmEhYWpbNmyLo/39fXVW2+9pXnz5jn9N6s9PXv21KxZsxQUFOTwmK5du2rixImmvvHjx2vUqFHy8fFxaA6LxaIPPvhAzz//vDPp2jVlyhS98MILTo1p0aKFVq9erbCwsAyvn5Xy5s2rRYsW6emnn3ZqXPv27bVw4UKHa+q3lS9fXmvWrFGLFi2cGtetWzctWrRIvr6+To1zh+zwPnenEiVKaN26dWratKnDY8qUKaOlS5eaav1t27bV8uXLFRoa6vA8TZs21eLFi93yWZPdtWjRwun3x52aN2+uzZs3q3bt2m7MKmvly5dPc+bM0YgRI+Tv7+/0+E6dOmnDhg1O1cFT8/777+vrr79Wvnz5HB4TFhamP//8UyVLlszw+o4qVqyY6tata+pbtWpVlq0Pz4qMjDS1S5UqlaM/AwDAExz76xEAAAAu+eWXX/Tyyy+rXr161r7OnTurRYsWWrt2baau/eCDD+q3335Tnjx5TP3x8fFauXKl/vrrL508eVKxsbEKCAhQuXLl1KpVK913332m45s0aaK5c+fqvvvuU2JiYqrrjRgxQs2bN1fLli2tfeHh4Xr33Xf1f//3f2nm2rJlS40cOdLUd+nSJXXr1s3umocOHbKeUClevLiKFy9u+vk///yT5nq3589phg8frnfffdem/9atW4qMjNTy5ct1+vRp+fj4qEyZMurYsaOaNm1qKrrmzZtXU6ZMUWJios0GQncaMGCAvv32W9MJilu3bunZZ5+1ObmVUla/dlPzwAMP6KuvvrL+/mJiYrR06VKtX79eFy5ckMViUbly5fTggw/anDwICAhQRESEGjVqpKSkJKfX9hR7G32joqIcHv/DDz+oSZMm1vbp06e1cOFC7dixQxcuXFBgYKBCQ0P10EMP2R3vqec+LCxMS5cutXuidvv27Zo3b56OHTumGzduqGTJkmrZsqXatWunvHnzSpLeeOMNp35P7hIYGKj169erWrVqNj9LSEjQhg0btGrVKp0+fVqXL1+Wv7+/ihQporp166pp06aqUKFCqnPHxcWZPktTFuHPnTtn92Tgnc6cOZPmz0ePHq033njDpj86OlrLli3Tli1bdOHCBV2/fl1BQUGqUaOGOnTooKpVq5qOHzhwoGJiYvTqq6+mud5tjz32mL777jubE1KJiYmKjIzUsmXLdPr0afn6+qpMmTJ68MEHra9rX19f/frrr/rkk08cWisnqFSpks1J6Llz5+rq1aumvqioKC1ZskQPPvigta9du3YqXbq0Tp06lSW5AgAAAMgd1q9fr0GDBpn62rZtqxdeeEFfffWVR3I6e/astmzZor179+rYsWO6cuWKrl+/Ln9/fxUtWlS1atVShw4dVKxYMdO4zp0764MPPtDrr7/u8toNGzbUBx98YP079vLly1q4cKE2btyoCxcuKF++fKpWrZq6du1qsxm7Z8+emjt3rmbNmqVhw4Zp4MCB1p8dO3ZMCxYs0K5duxQdHa2goCA1btxYXbt2tbkQwZgxY7RgwQIdP37cpcfw8ssvmy58ceXKFc2bN0+bNm3S+fPnFRQUpKpVq6pLly42m/vLli2rlStXqm7duoqNjXVp/aw2ceJEtWrVytret2+fFi1apH379unSpUsqWLCg6tWrpy5dutjUtsPDw/Xf//7X4dpDYGCgVq5cafdLEYcPH9bcuXN14MABXb58WUWKFFGtWrX08MMPq0SJEtb1Pv300ww8Wtdkx/e5q3x8fDR37lzr+y85OVlr167VsmXLdPLkScXHx6t06dLq0KGD2rRpYxpbvHhxfffdd3rwwQdVtWpVzZo1y3oxiOvXr2vp0qVas2aNzp07J29vb1WoUEGPP/64atasaZqnadOm+u9//6uxY8dmzYPOBm7evKnNmzdrz5492r9/vy5fvqyrV6/Kx8dHBQsWVNWqVXXvvfeqYcOGpnHFixfXb7/9pvr169vUv+50Z220YsWKCggIsLbj4uJ06NChdHNMSEhw/oGlwcvLS/PmzVPbtm1tfnblyhX9/vvv+vvvv3Xu3DkFBgaqUqVKevTRR1WpUiXTsaVKldKaNWvUsGFDHT582KVcnnnmGQ0bNszavnDhghYtWqRNmzYpKipKfn5+qlixoh599FGb12uxYsX0/fffq3Pnzi6t7az77rvPpha8efPmLFkbnrdp0yabvpYtW2rHjh0eyAYAci6PX06dIAiCIHJ62Lu12+1bImYkQkNDHb69WGZw9fZ49sLerdT69Onj8ecuM56j8ePHm45p166dzTHr169Pd+7mzZvbjHPkVoOSjHLlyhmXLl0yjU1ISDDGjBljhISEpDm2Tp06xqZNm2zWHjt2bLrrFi9e3Dh37pxpXFJSktGhQ4dUxxQrVsw4c+aMzXoPPfSQy68tT78u0oqUt081DMduAdesWTO7t7Fds2aNUalSpVTHNW3a1NizZ4/NuMuXLxtly5ZNd11Xbl353nvv2YyJjY012rZtm21fu/ZuYXj7Fo9JSUnGxx9/nOYtRx9//HG7t4Ts1q1blryu3PUZu23bNpt5Jk+ebPfYlLcYvPP1ee3aNeOll14yfHx8Ul0rb9682eK5l2SsWLHCZuzp06eNBx98MNUxZcuWNZYuXWp6zK48Bxm5Pa292wonJSUZP/zwg1GyZMl0x9euXdsYM2aMcfny5XTf1yk5+v+j1OKRRx6xmTM6Otp4+umnbV4b9sam/H+NYRhG586d0103ODjYOH/+vM3YjRs3GtWqVUt1XIsWLYyDBw+m+Xw7+rzZe7968papH374oU0+7du3t3vs448/bnPs8OHDPZY7QRAEQRAEQRB3Z4SEhNj9u8swDGPevHlG8+bNMz2HPn36GIcOHTKGDRtm1KpVy6ExFovFePLJJ21qnUlJSUbDhg0dmsNeLe7GjRvW//7iiy9SrVHlyZPHGDdunM34vXv3Go0aNTISExMNwzCMuLg4Y9CgQYbFYrE7T7FixYw///zTZp7vvvvOocdg7+/eO+tmP/74Y6qPwcvLyxg6dKjdOtvEiRNdXj8zx6Ws996Z+5kzZ4wuXbqkOtbf39/46aefbNa9dOmS4efn59D6P/74o8342NhY4+mnn051jK+vrzFs2DAjISHBMIx/X6N3vs4MI/NrFdnhfZ6yvnn06FGHxh09etQ07s7f3ZYtW4z69eunOrZdu3bG1atXbR7zvffea2zZssXanjp1qlG8ePFU3yfDhg2zmePy5csOvW4yUo9MGSk5UjN05ZzD7YiLizMiIiKMdu3aOfweqV69urFkyRKbNceNG+fw40z5Ps/oOeCUryFH32+vv/66zeMwDMP4/vvvjcDAwFTH9e3b16b2bhiG8ddff6VZw78daX2ux8fHG6+//nqaNd0XXnjB+v+gOzVp0iRDv0dH46OPPrJZu3Dhwpmylr33l7s+T+29d7KSO39PKT9/DcPxzwFnw2Kx2Py7IrXzXgRBEESq4fEECIIgCCLHB5vM04/cvMlckrFs2TKb4x577LE0587IJvN169aZxsXFxRn333+/w4/L19fXpugWHx9vlC5dOt2xrVu3tikWXbhwwShVqpTNsV5eXsby5cttHqejG0NTe215+nWRVri6yXzv3r024xYsWGD4+vqmO7ZQoULG9u3bbcbPnz8/3bHOFHzz5Mlj/PLLLzbHnzx50uGTcZ567dor/BnGvydYevXq5dDaPXr0sBm/bNmyLHldueMz9sknn7T7O0jt8dsrAhqGYVy9etVo0aKF04/BU8997969bR7DmTNnjAoVKqS7psViMWbNmmX39+Doc+DqSZ1BgwbZjLtx44ZLX2woUKCAUahQoTSPSSkjm8yLFCliXL582TTf/v377f5/IrUoXbq0ceLECdMcu3btSnecvROvq1evduikVNGiRY39+/en+nznxE3m3t7eNpsfTp8+nepGgzx58hjR0dGm4w8fPuyR3AmCIAiCIAiCuLtjzJgxqf79ZRj/1pt+/PFHY+DAgUbt2rUNb29vt64fEBDg8tgyZcoYx44dM+X7yy+/ODQ2rQ1kL774okNzLFq0yGbs7S9rX7lyxWjcuHG6cwQFBdl8STsmJsahv5/t/d172wcffODQY+jUqZN1A/SdHKk5eXqT+W2HDh1y6CIfqT1nPXv2THdckyZNbMZduXLFuOeeexxa9/HHH7d7YRPDyJpahaff5+7aZH7bqlWrDH9//3THd+/e3WbsnRdUGDNmjEN5/PDDDzbz9OjRI91xOXmTeVobqdMKLy8vY8KECaY14+LijKCgIIfGZ4dN5qGhoUZ8fLzN727YsGEOrVm/fn0jJibGZvzQoUPTHZva5/qNGzeMVq1aObT+m2++aTPe3vnUzIiVK1ea1j1z5kymrcUmc8ciKzeZSzJ9iccwDGPfvn1Z8tojCIK4i8LjCRAEQRBEjg82macfuX2Tef369Y2kpCTTcfv27UuzKOrqJvM2bdrYjOvatavTjy0wMNC4cOGCaZ5PP/3U5ed77dq1No/37bfftjluw4YNDl05Ia21PP26SCtc2WTeqVMnmzHHjh0z8ufP7/C65cqVs7kyTFJSklG5cuU0xzla8C1UqJCxevVqm2P/+ecfh66o7OnXbmqbzJ35woMkY+PGjabxCQkJ6V6V2R2R0c/Y9u3bG3FxcTZznD9/PtWTqqltMn/++eedzt+Tz/3mzZtt1na0MC7J8PPzMw4fPmz3d5FZm8x9fHzsnswaOHBgpr3GUsrIJvOUdzuIi4szwsLCnJ6nWbNmNnmldReM4OBgm6tyRUdHp3ul/DujevXqdk9yO/K83Y7stMn8oYcessnlo48+SnPMN998YzPGmS+EEARBEARBEARBOBJ58+a1+UJ6Wq5fv25s3LjR+OKLL4wuXboYRYsW9Wj+HTt2NOWXkJDg0ObI1DaQTZkyxeG1GzZsmOrvqV+/fg7P89prr9mMd6RmktpmxJUrVzr1OxwxYoTNHDNnznRpfUfWc+cm8/j4+DSvZp0yqlWrZjPHpEmT0h03adIkm3GDBg1y6vc8duxYu89XVtQqPP0+d+cm86ioqFSvPG4vdu7cafcxRkZGGl5eXg7NUaJECZsL/jjyusnJm8wz+no7fvy4ad3nnnvOobHZYZP5xx9/bPN7mzVrllPrdu3a1WaOY8eOpXrBiduR2uf6Cy+84PDaPj4+xsmTJ03jT5w4kenPuyTj1KlTpnU3bNiQaWuxydyxyOpN5rNnzzatlZCQkO7rniAIgvhfWAQAALKthIQE/fPPPx6LhIQET/8K7hpbt27VjBkzTH1VqlTRgAED3L7W66+/bmqvWbPGZm1HXLlyRV988YWp79FHH3Vo7KhRo7R8+XJT37333qv333/f2m7durWGDx9uOiY6OlrdunVTYmKi0/nezV544QWbvldeeUXXr193eI5jx45pzJgxpj6LxaLnn38+w/mFhYVp/fr1uu+++0z9S5Ys0b333qszZ844NE92eO2mnOedd95xasyUKVNMbV9fX9WuXdvptbOCr6+vmjdvrkmTJmnhwoXy9/e3Oeadd95RXFycw3MeOnRIX3/9tdO5eOq5b9iwoRo0aGDqmz17tlauXOnwmjdv3tQrr7ziXKIZ1L17d5UrV87Ut3jxYk2YMCFL83CFv7+/Bg8ebOr75JNPdPToUafnWr9+vc3/a9J6vvv16yc/Pz9T39tvv62LFy86vOaePXv07bffOpdoCu+88468vLxM0a9fvwzN6Sp7/w6ZNGlSmmN+/vlnh+YBAAAAgIyIj49Xx44dNX/+fIeOz5cvn5o0aaKXXnpJs2bN0tmzZxUZGal+/fopb968mZytrUWLFikqKsra9vX1VZMmTVyaKzExUcOGDXP4+M2bN+v48eM2/fv27VNERITD88yaNcumr379+g6PT+mll15y6vgxY8bo5MmTpr6HH35YxYsXdzmHrDJ16lRt3brV4eP37t2rLVu2mPpS1qxSKliwoJ544glT3549e/TDDz84nqikkSNH6vLly06NcZec/j6/02effaZz5845fPzs2bPt9g8bNkz/7uVM39mzZ7V+/XpTX0beo3e7+Ph4zZw509R37733eigb5+TNm9em/hYfH+/05+qMGTMUGRlp6gsNDdXDDz/sdE6HDx926lxAYmKipk+fbuorU6aMihQp4vTazvD19bX5/8bp06czdc3MEhcX59F9AznZqVOnTG1fX1+VLl3aQ9kAQM7j4+kEAABA6s6ePat69ep5Og24yf/93//pscceU548eax9b7/9tqZMmeLUZuG0FCpUSK1atTL1ZWTT4R9//KH33nvP2i5XrpzKli2rEydOpDnOMAz17NlT27ZtU8mSJa39r776qtasWaOtW7fql19+kbe3t2lc37590507t/H19VV4eLip7+zZs5ozZ47Tc33//fcaPny4fH19rX1t27bNUH6NGzfW77//rqJFi5r6J0yYoGeffVZJSUkOzZNdXrt3mj59uq5everUun///bdNX5UqVbRp0yan5nGHUaNGaciQITb9Xl5eCgwMVIkSJWw23N5p0qRJ+uabb5xa05kTlbd58rl/4IEHbPrGjx/v9Jrz5s3T2bNnVaJECafHuuKhhx6y6fvoo4+yZO2MatOmjQoVKmTq+/HHH12e748//lCbNm2s7ZSfl3dK+XzfvHkz3Q3V9nz//fdOn8DJjooXL27zO9m6dat27dqV5ri//vpL+/fvV5UqVax9jz32mAoWLKjY2NhMyRUAAABA7hQbG6uHH35YvXr10ogRI1SpUiWHx1osFrVs2VItW7bUyJEjNWzYME2dOjUTszUzDEOHDx82bZ5r2rSpli1b5vRcy5cvd7pm+s8//yg0NNTU52zd5siRI4qNjVXBggWtfXf+LeiMDRs2pPv3Zkrx8fGaPHmyaYO9r6+v2rRpY3Ohh+zGlfrS33//bdpYXrly5TSPb968uU1tLyIiwuENyrddu3ZN06dP17PPPuvUOHfJye/zO02cONGp47dt22bTt3fvXm3YsMHpeVq0aGFtp/e6ye0OHjxoajdt2tRDmTinUaNGNjXV+fPnO3yBnzt98803uv/++019bdu2dfqc08SJE53+vEnt/MmdX8pyt1KlStmci3TmCyHZyZYtW9g34KKzZ8/a9JUpU4Zz0gDgIK5kDgAAkEWOHDmi77//3tRXokQJ/fe//3XbGi1atJDFYv4nXsorWTjD3pVlHS1gXLhwQT169DBdldxisWjSpEmaPXu2ihUrZjp+7NixWrBggcu53q3q16+vfPnymfrmzp3r8ObtO50/f15//vmnqa9KlSoqXLiwS7k9+uijioyMNG0wT05O1vDhw/X00087lWN2eu3etnr1aqfXPXz4sE3fnSfislLZsmVVt25dm6hTp47CwsJS3WCenJysr776Sv3793d6zZRXQXGEJ5/7lCcRrl69qqVLlzq9ZnJyssNXXHKHlBupT5065dLv3hPs5Z6RQm7K5zssLMzue87Ly0sNGzY09UVGRrq0KXrPnj3av3+/0+Oymz59+pi+dCSlfxXz1I7Lly+fnnzySbflBgAAAAB3mjJliqpVq6YHH3xQU6dOdfpvudDQUP3yyy+aOHGi6QIgzqpRo4b69u2rTz/9VL/99puWLVumjRs3atu2bXajZs2apvFly5Z1ad01a9Y4PcbelczXrl2b4XmCgoKcnkP6t57pCntXe87um0KvX79udyNlelLWFX18fOzeefA2e7+HhQsXOr2upGxRl88u73NXHDhwwOlNq+56jx47dszU9vX1TfN1c7cpXLiwHn74YQ0fPly//PKLFi5cqLVr12rr1q12P5dT3hWiTJkyHsrcOc2bN7fps3e3CUfMmzdPN2/eTHf+9OSU8yeBgYE2fdeuXcvUNZH92LvYW4ECBTyQCQDkTFzJHAAAIAuNGjVKffr0MRU1XnvtNX333XeKjo7O8Pz2CkG//fab01cTSEtISIjDx65Zs0YjR47U+++/b+0LDg7WPffcYzpu/fr1evPNN92W493E3u0tN2/e7PJ8mzZtMl2lwmKxqF69elqxYoVT8wwZMkRjx441XQEiPj5e/fv3d+lqMdnttSvZXtXEEVeuXLHp89Qmc2clJydr1apVeuedd1w6eZmcnOzSLRM9+dynvO3w9u3blZyc7NIaKW9pnFkqVKhgc+eAjGzKz2opn+9ChQrZvXKTowICAmz6QkJCbE5EVqlSxeaEQkaesy1btrh89bbsIuUXSW7duuXw5/fkyZP17rvvmr4gMmDAAH377bduzREAAAAAbktKStIff/yhP/74QxaLRXXr1tW9996rhg0bqn79+qpSpYp8fNI+9d2vXz/5+/urW7duDq+bJ08evfjii+rXr59q1KiRocfg6gbtQ4cOOT3G3t353DGPq3UuV/8G37lzpxISEkybhlPWc7Kb48ePmy684ih7m6oLFiyY6mbIWrVqmdrXr1/Xvn37nF5Xsn9VbU/w1Ps8o7LTe1RK+3Vzt2jVqpWGDBmi9u3bZ+hLBbc35Wf335c7zxPdunVLO3bsUOPGja19NWrUUJ48eZSQkODwPK6cP0ntcy4z5c+f36bvxo0bmbomsh97z3lu+kIOAGQUm8wBAACy0MWLFzV27FiNGjXK2hcYGKi33npLQ4YMyfD8pUuXtumrU6dOhue9U3BwsFPHf/DBB2rRooU6dOhg9+fR0dHq3r27S4X33MDe5ti9e/e6PN+ePXscWiMt7777rukWnJJ06dIlPfrooy5tTpay52v30qVLTq9x69Ytm76UVwr2tOTkZF27dk2xsbG6ePGitm/fri1btmjBggV2rwLuqLi4OJeKs5587lO+9jNydWpXT+I5K+VdIKR/T7jmFCmfb39/f9WtW9etawQHB9tcFSflxnwpZzzfmaVFixY2t09evHixw7emPXnypCIjI9W6dWtrX4MGDVSnTh1t377drbkCAAAAQErJycnaunWrtm7dau3Lly+fmjRpovvvv19PPPGEqlWrZnds165dtXbtWn311VfprtOsWTP9/PPPqlixolvydnUj3eXLl50eY69G5Y55XK1zufo3eEJCgo4dO2b6G9be3/jZiSs1Rcn5umLKetfJkyddvnjCmTNnbDbze1pWvc/dITu9R6XsV492pwIFCmj8+PFu/RJBTtiUn7KOHR8fryNHjrg83549e0ybzL29vVWoUCGdP3/e4TlyyvmTOy+UdJsrdwpGzmbvHHR6X1oCAPyPJf1DAAAA4E6ffPKJza0Tn332WYWFhWV4bmc30boiX758To/p1auXzp49a9OfnJysPn366OTJk+5I7a5UqFAhm76YmBiX57NXqC5cuLBTc6TcYJ6UlKQ2bdq4vMFcyp6vXXsFz5ykb9++8vLysglvb28FBgaqTJkyqlevnvr27atx48ZlaIO5ZP8q7o7w1HMfGBhoU2B29ja87hrrDHvvV1dOQHmKs583rrD3fNu7WlxOeL4zy4ABA2z6Jk2a5NQcP//8s0PzAgAAAEBWuHHjhlatWqWRI0eqevXqat++vXbt2mX32OHDh6dbJ2rZsqWWLl3qtg3mkusb6dxVo/LkRT7c+Te4q1eEzypZVVNMWTfOaK0iJ9Q63P0+dxd3Pec5vR6d2QoUKKAlS5a4/Sr1OWFTvrvf7+44T5RTLhxl78I4fn5+HsgEnmTv/wfXr1/3QCYAkDOxyRwAACCLXb9+Xe+8846pL2/evHrvvfcyPLe9DcnZQenSpe0W/2/cuJGhq3LnBgUKFLDpy8hVNeyNtbdGWlIWu729vfXZZ58pICDA5byy62sXjnO1qOyp5z4r3luZITAw0KYvLi4uS9bOqHz58nmsgJ9Tn+/MUKBAAT3++OOmvsuXL2v+/PlOzfPbb7/Z3JK5Z8+e2eqqZwAAAAByr6VLl6pRo0ZauHChzc+KFSumhx56KNWxBQsW1PTp0+Xv72/qT0pK0pIlS/TGG2+offv2ql69uoKDg+Xv7y+LxWLzRf9Vq1a5+2HlWO78G9zZWubdKm/evKZ2QkJChuaLj4/P0HhPyMj7HDnPp59+qnvuucem/8CBA/r000/1xBNPqFGjRipRooQCAwOVJ08em8/lvn37Zn3ibpDycy+jtUl3nCfKKew91qz6AgqyD3vPeU6u8QNAVuPeDwAAZGMlSpSwWxzLKh07drR79Wlk3Pjx4/Xf//7XdJvP7t27a+zYsdq2bZvL86b8Rv7ly5ez5KqxaSlQoIBmzpxp9w94f39/zZgxQ82aNctwEfxulXIDnySbE1zOsDfW3hppGTx4sIYPH67Q0FBrX3h4uJYvX64HHnjApasqZ8fXLrKGp577rHhvZQZ7V4zPyBc8stLNmzeVlJRkuoL8nDlz9Nhjj2X62jn1+c4MPXr0sMm/UKFCbjmZXLhwYT366KOaPn16hucCAAAAgIy6efOmunfvrsOHD6tIkSKmn7Vu3TrVv13+7//+T0WLFjX1bdq0SU8++aQOHTrk8PpsYvsff39/p2uQd469k6vz3G1SXsk4oxtE7V3YICdw9X2OnKVmzZrq16+fqe/q1at69tlnNXXqVIfnyamfyyk/9zJam3THeaKc4sKFCzZ9OfXcU4MGDTRhwgSPrV+vXj2PrZ1R9p5ze68NAIB9bDIHACAby5Mnj+rWrevR9ZE5kpKSNGzYMM2aNcvaZ7FYNGbMGLVr187leS9evGhqFypUSAULFvTorS7Hjx+vSpUqpfrzBg0a6JNPPtGLL76YhVnlHPY2bGfklrD2xl66dMmpOQ4ePKgWLVpoxYoVpue2SZMmWrVqldq2bet0cSY7vnaRNTz13F+5csVmw3PBggVdni8jY50RHR1t05dT7gRgGIZiYmIUHBxs7QsLC8uStWNiYmz6csLznRkGDBiQ6fNzAhcAAABAdnH16lX99NNPevXVV039VapUSXVM9+7dTe0TJ06oTZs2dr/4nZacuoktMxQsWNDlDYwp/wa39zd+bpSybnxnvcVZvr6+OeYiBva48j5Hxvn4ZN12o27dupnquJLUp08fzZkzx6l5curncsr3e0Zrk+44T5RTXL58WVeuXDF9kaZ06dIezMh1AQEBHt03kJPZe86PHz/ugUwAIGeyeDoBAACA3Oq3337TX3/9Zepr27at2rRp4/Kc58+ft+mrXbu2y/Nl1HPPPadu3bqZ+nbv3q2TJ0+a+l544QV16dIlK1PLMaKiomz6qlWr5vJ81atXt+lLucnXESdPnlSLFi20c+dOU3/t2rW1Zs0ap4t02e21i6zjyec+5Ws/IyeeqlatmtF0HHLu3Dmbvpz0Xkn5fFeuXDlLvtRm74svOeH5dreaNWuqcePGmbpG69atTXe6AAAAAABP+/vvv236QkJC7B5btWpVlSlTxtT35ZdfOr3B3MfHJ8duYssMd97R0xm+vr4qV66cqY8rj/4rZY29dOnSLl+cpFatWrJYcvbWEWfe57ndrVu3bPp8fX2dnicjX2xwVtu2bU3tXbt2Ob3BXJLKly/vrpSyVMrzRHnz5s3QY0l5nigpKemu3WQuSUePHjW1+f9z7lOqVClTOzo6+q69ej8AZIac/ZcCAABADvfaa6/Z9I0ZM8bl+ewVUh944AGX58uIunXr6tNPPzX1xcXF6fHHH1f37t1tCpk//vhjji3wZaatW7fa9DVs2NDl+Ro1amRqJycn213DEefPn1d4eLg2bdpk6q9SpYrWrl3r1POZnV67yFqefO63bNliatepU8flE2oNGjRwR0rpOnr0qM1G82bNmmXJ2u6Q8vnOnz+/WrZsmenr7t+/36ZonJHnLKueb3ezdxXzgwcP6p9//nE5Dh48aJrPYrHY3L4YAAAAADzJ3t3SEhMT7R6bcoO5JK1du9bpNevVq6d8+fI5Pe5u5erf0bVr17b5cnrKek5uZa+m1rRpU5fmcnVcduLM+zy3s/elmTuv8uyoihUruiMdh6T8bHblc1mS7rnnHnekk+XceZ7I19fX5qIlu3btsvvlg7vFjh07TO2wsLAsvRI/PC/lRWO2b9/uoUwAIGdikzkAANnY8ePH5eXl5bHgNlGZb82aNfrjjz9MffXr11ePHj1cmm/ZsmU2ffZuI5jZChQooJkzZ8rPz8/UP3jwYO3bt0/r16/XW2+9ZfpZwYIFNWPGDKevaGuvUJzTr7pyp61bt+rGjRumvkceecSlx1i0aFG1aNHC1Ld//36bWy064/Lly2rdurXWrFlj6i9XrpzWrl3r8FXXs8trF1nPk8/9xo0bTe0CBQrYXBXHERaLRQ899JC70krX6tWrTe1SpUqpVatWmbpmys9aV58fe893r169XJrLGYZh2Hwh5v7773fp1rLVqlXLkbdb9vX1tfld37x5U40aNVK9evVcjkaNGunmzZumefv27SsvL6+sfHgAAAAAkKpixYrZ9Nm7s5pk/8rHrlzdNeXdHXO7Rx55xKVxjz32mE1fynpObrVhwwabvieffNKluXr27JnRdDzOmfd5bhcTE2PT58oFgMLDw92QjWNSfja78rlcs2ZNu3d6dYS7aqOuWr9+vU3f448/7tJcnTt3tvkSlL357yYp68J58uTJkXeqXL16tUf3DeRUwcHBKlmypKkv5WsCAJC2u2f3DQAAQA71xhtvKCkpydT33nvvOb3ZWpLOnDmjzZs3m/rKly+vvn37ZiRFp/344482V7H48ccfNXnyZGt7zJgxWrhwoemYBg0a6JNPPnFqLXu3MwsICHBqjuwsMTFRkZGRpr4SJUq4dGLmmWeesbnt5dKlSzOSnqR/n4MOHTpo8eLFpv6SJUtq9erVqlu3brpzZJfXLrKeJ5/7RYsW2fQ9/fTTTs/TuXNnlShRwh0pOcTerWBfffXVTF0z5Wetq5+zS5YssfniTI8ePVy+bbYzUj7ffn5+6t27t9PzPPPMM+5KKUs98sgjNifkFixYYPdKX86IjY21+cJcaGio2rRpk6F5AQAAAMBd7H0x+/Dhw3aPvXbtmk2fvY3naSlYsKD69+/v1Ji7XbNmzZze3JknTx6bv9tv3bql5cuXuzO1HGvHjh3au3evqe/xxx9XuXLlnJqnefPmOeouealx5n2e2+3fv9+mr3Hjxk7NYbFYsvRzLuVns7Ofy5I0dOhQl9d3V23UVX///bfNxYJcrUkPHjzYps8d54myM3tfTqpTp44HMoEn2DtH+ddff2V9IgCQg7HJHAAAwMN27dpl2nwt/bvB8rnnnnNpvvfff9+mb+zYsapUqZJL8znrhRde0BNPPGHq27lzp1544QWbY5966imdPHnSZnyXLl0cXs/eVbhduepGdvb111/b9I0dO9apW+6WLVtWb7zxhqkvOTnZ7tyuuHHjhh566CHNnj3b1F+kSBFFRkY6dBtKT7924Tmeeu43b95sc4vlLl26qGXLlg7PkTdvXo0dO9bNmaVt5syZNifJOnTooIEDB2bamik/a139nI2OjtYPP/xg6vPx8dHUqVNt7n7hbhERETZX3B45cqQKFy7s8BzVqlWzeyImJxgwYIBNX8p/f7jK3jz21gMAAAAARzz44INOb5RNTfny5dW1a1eb/gULFtg9/uzZszZ97dq1c2rNr776SoUKFXJqTG7wxRdfOHX8a6+9pjJlypj65s2bp3PnzrkzrRztu+++M7Xz5cun7777zuG7YPr7+9vMkVU8+T7P7aKiomzOy3Tt2tWpu6c+//zzqlChgrtTS1XKz+Y2bdo4dWXl1q1bq0+fPi6vn7I2GhYW5vJcrkhISNCECRNMfX5+fvr888+dmqdLly5q3bq1qe/YsWOaP39+RlPM1jZv3qyLFy+a+lLe9Rd3r5TP9a1bt7RixQoPZQMAORObzAEAwF3h6NGjMgzDFFl5q76Meuutt2yu7Jpyo7aj5s6da3Obr6CgIC1atMjlWwEGBATolVdeSfe2mfXr17fZbBkXF6euXbvabOyT/t1s2KNHD926dcvU/+OPPzq8gXHnzp02fR07dnRobE6xcOFCm6vShIWFaerUqQ7dljEoKEjz5s2Tv7+/qf/333/XwYMH3ZbnrVu39MQTT9hsNgwKCtLSpUvtXk3mTp587cKzPPnc2zvBOWXKFIdOFFgsFk2aNMnmzg2ZLTk52e7G/HHjxtk9oZaeAgUKpHvyO+VnbXh4uPLnz+/0WpI0evRoxcXFmfoaNGigOXPmKCgoyKU5y5Ytqy+//FI1atRI9Zjo6GhNnTrV1BcSEqJZs2Ypb9686a5RpEgR/fbbby7daeROI0eOtPk3S0RERIbmTE+ZMmVsriweHR1t92r+rli4cKGio6NNfY888ohTG/gBAAAA4LZOnTrpwIEDmjhxoqpUqeLyPCVKlNCcOXNsamIXLlxI9WrY27Zts7li7X/+8x+VKlXKoTWHDx+uXr16uZbwXa5NmzZ69913HTq2Q4cOeuutt2z6v/zyS3enlaNNnDjRZrNw+/bt9fPPP6dbvyhYsKAWLFigmjVrZmaKqfLk+xy2d/wLDQ3VkCFDHBrbqlUrffTRR5mQVerWrl1raleoUEHPPvusQ2Pr1aunX3/91alN9CmlrI0GBQVl+R0AvvrqKyUkJJj6unbtqldeecWh8XXr1rXZqC79Wx9PTk52S47ZlWEYNldrv//++z2UDbJayud6/fr1unLlioeyAYCciU3mAAAA2cCpU6f01VdfuW2+Hj162Gz2qlChgv766y8NGzZMgYGB6c7h5eWlli1b6ttvv9WJEyf08ccfq3jx4qkeHxgYqBkzZths1Hvuuee0b9++VMetW7fO5oRBwYIFNX36dIc28u3atUuxsbGmvjfffFN9+vTJ9KviZqUBAwYoMTHR1PfII49o6dKlaV4xpHHjxvrzzz9tbgd3+fJlvfjii27PMzk5WU899ZS+/fZbU39AQIAWLFigTp06pTneE69dZA+eeu4nT56slStXmvpKlSqlNWvWpPmFlTJlyuiPP/6wbuq+fv16uvm5U0REhGbNmmXq8/Pz06+//qrvvvtOJUuWTHeO6tWra/To0Tpx4oRq166d5rHr1683tYOCgjR9+nRVrVrV6dzPnz+vPn362Jy86NChg7Zs2aKePXs69AWa/Pnzq2vXrvrtt9906NAhvfjii+l+7r/++uuKiooy9d1///1auXJlmo+lefPm+vPPP1WtWjVJWf98Z1S/fv1sfqczZsyw+ZKXq27duqWZM2ea+vLmzcvGCgAAAAAu8/X1Vb9+/bRv3z5t2LBBzz//vMP1nXz58mnQoEHatm2b3b93X331VcXHx9sdm5iYqLlz55r6ChcurBUrVqhWrVqprlmiRAn98ssvpk3UKWuWudntC6wMHz5cP/zwQ6p1Hi8vL/3nP//R7NmzbWrDERERNhtNc7u4uDg988wzNv29evXSrl271KtXL5vfdbFixfT8889r37591rv5HTlyxCNXiPfU+xyyu9l4zJgxdl9Pt+XNm1evvfaaFi1aJD8/P5sLJ2WmGTNm2PR98cUXad4R2GKxaPDgwYqMjFSRIkUkuf65nLI2Kv37JY+WLVs6dUX1jDhx4oSGDx9u0//xxx/rq6++UoECBVId27t3b61YscLmAh9//fWXxo0b5+5Us6WU/2+vXLmyzd0ycPcJCAhQkyZNTH3z5s3zUDYAkHP5eDoBAABwdxg0aFCaVw2wVxgcNWpUmldG+O677/T999+7I70c4YMPPtDAgQPdcivVw4cPq2vXrlq4cKFp03dAQIDef/99vfnmm/rzzz+1bt06nT17VjExMcqfP7+CgoJUpkwZ1a9fX/Xr13cql4kTJ9psdp4wYYKmTJmS7tgxY8bovvvuM23obNiwoT755JN0N0InJiZqypQpev75502P86efftKECRN08uRJXb161WYz44gRI/T777878tCyhQ0bNuidd96xudpPq1attGfPHq1YsUIrV67U6dOn5e3trTJlyqhjx45q1qyZzRU6kpOTNWjQIJur3LjT4MGDFRcXp1dffdXaly9fPs2ePVu9evWy2Yx4mydeu8gePPncDxw4UFu2bDGNLV26tP744w9t27ZN8+fP19GjRxUfH68SJUooPDxc7du3N21oHjFihM2dHDJb//79Va1aNdPVuy0WiwYNGqR+/fpp/fr1ioyM1JkzZ3T58mX5+/srJCREtWvXVtOmTZ26StSkSZP03nvvydfX19r34IMP6sEHH9SlS5d0/vx5mxN3Z86cSfWLJbNnz9aIESP03nvvmfrLly+vKVOmaOzYsVq1apU2b96sqKgoXbt2TYGBgQoKClLFihXVsGFD1a5d2+kvE128eFHPPvusZs6cafpsbNasmXbs2KGVK1dq+fLlOn36tHx8fFS2bFl16tRJTZo0sR5/9epVffLJJ3r77bedWtuT+vXrZ9OX8q4TGTV58mSbfwv279+fq8wBAAAAyLCmTZuqadOm+uqrr3T06FH99ddf2rNnjy5evKjo6GgZhqHAwECFhoaqdu3aat26tQICAuzONX36dE2aNCnN9d59911169bNtMm5SpUq2rZtmxYvXqyVK1fq1KlT8vHxUYkSJdSyZUu1adPG9Dfqjz/+qAoVKlg38eZ2I0aM0McffyxJevrpp9W1a1frne0uXLigoKAgVa1aVV26dFFoaKjN+GPHjum///1vVqedIyxevFjvvfeezebTSpUqafLkyUpMTNT58+cVExOjkJAQFSlSxFQTiY+P11NPPWVTx09KSsqS/G/L6vd5brdp0ybNnTtXjzzyiLXPx8dH33//vZ5//nnNmTNHhw4dUkJCgooUKaIGDRqoY8eOKlasmPX4IUOGZNk5vJUrV2r16tWmOxj7+vrqm2++0X/+8x/NmTNHe/bs0Y0bN1SkSBHVrFlTDz/8sOkuFOfOndMnn3xi/Sxyxt9//63du3eb6rBVqlRRZGSkrl+/rlOnTtm9KEXHjh119uxZp9dLzdixY9W2bVu1bdvW1P/888+rZ8+emj9/vjZt2qTz588rMDBQFStW1GOPPabKlSvbzBUTE6OePXtm+XvdU+bPn6+YmBjTRvsuXbro888/91hOd7N33nlHDz30UKo/L1u2rE3fhAkTbO6AeidXzus++OCDpvNNiYmJNnc7BQA4xiAIgiAIImMRHh5upBQZGenxvLIyRo4cafM7yKiRI0c6vP7Ro0dtxoeHh2f64w4NDbVZd/z48S7P9+qrr7rtdyLJaNSokXH8+HE3PSOG8fLLL9td56WXXrI5dseOHYafn5/DuQYHBxsnTpywmadLly7pji1WrJhx5swZpx5Lnz59PPJeiYyMtMnFmdfqW2+95dTjTCk+Pt548sknHV7P3udbRvNNTEw0+vbtmy1eu7ejT58+NmNCQ0Ndeo5TcvZ960rY+wzO7Nd4RESEab2jR4+6Zd6sfu5vR8OGDY3Lly+7tMaHH35o9/8HjjwHGX3tBQUFGcuWLXMp7zs58r4eMWKEU3M68pro16+fcf369Qznf1uDBg0c+r0988wzRlJSktPzJyQkGA8++GCGnjd779eIiIhMe6+2adPGZr1Dhw5lylqHDx92+TkhCIIgCIIgCIK4Hd9++63Tf685IiIiwrBYLA7l8PTTT7u8zvLly408efLY1AEdOWeQ0Vrc7bD3t6crz4UrjyG1tadNm+bS7/PEiRNGWFhYpj92V8e58juyFxmtEY0aNcrp3+2NGzeMxx57zJBknDx50vSzTz/99K5/n7ta30x5PsqVuo6rtUR3vm6KFStmnDp1yqXf85gxYwzJtVq4q59zZcqUMc6ePetSvjExMUb9+vUz9Pu6//77jVu3bjm1bmpzZ+Q1lC9fPmP+/Pku/R5uO3XqlFG7dm2H13TX/1Pc9bp3Nca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      "text/plain": [
       "<Figure size 3000x4200 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "# Combined figure\n",
    "fig, axes = plt.subplots(4, 2, figsize=(10, 14), dpi=300)\n",
    "\n",
    "for i, T in enumerate(temperatures):\n",
    "    # Compute softmax probabilities\n",
    "    probs = softmax_with_temperature(logits, T)\n",
    "    \n",
    "    # Sample next token\n",
    "    next_token_index = sample_from_probabilities(probs)\n",
    "    next_token = tokens[next_token_index]\n",
    "    \n",
    "    # Left side: Plot probabilities\n",
    "    ax_left = axes[i, 0]\n",
    "    for token, prob, color in zip(tokens, probs, colors):\n",
    "        ax_left.bar(token, prob, color=color, label=f\"Token {token}\")\n",
    "    ax_left.set_title(f\"T={T}, Next Token Predicted: {next_token}\")\n",
    "    ax_left.set_xlabel(\"Token\")\n",
    "    ax_left.set_ylabel(\"Probability\")\n",
    "    ax_left.set_ylim(0, 1)\n",
    "    ax_left.legend()\n",
    "    \n",
    "    # Right side: Sampling simulation results\n",
    "    # Perform 1000 sampling trials\n",
    "    sampled_indices = [sample_from_probabilities(probs) for _ in range(1000)]\n",
    "    sampled_tokens = [tokens[idx] for idx in sampled_indices]\n",
    "    \n",
    "    # Plot histogram of sampled tokens with frequency text\n",
    "    ax_right = axes[i, 1]\n",
    "    for j, token in enumerate(tokens):\n",
    "        token_count = sampled_tokens.count(token)\n",
    "        ax_right.bar(token, token_count, color=colors[j], alpha=0.7, label=f\"Token {token}\")\n",
    "        ax_right.text(token, token_count + 1, str(token_count), color='white', ha='center')  # Add frequency text\n",
    "\n",
    "    ax_right.set_title(f\"Sampling Simulation (T={T})\")\n",
    "    ax_right.set_xlabel(\"Token\")\n",
    "    ax_right.set_ylabel(\"Frequency\")\n",
    "    ax_right.legend(loc=\"upper right\")\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "threads",
   "language": "python",
   "name": "threads"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.15"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}