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\n", "\n", " \n", " \n", " \n", " \n", "

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Deep Reinforcement Learning

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Assignment 06 - Multi-Armed and Contextual Bandits

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Computer Engineering Department

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Sharif University of Technology

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Spring 2025

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Full name: [FULL_NAME]

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Student ID: [STUDENT_ID]

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\n", "\n", "
\n" ], "metadata": { "id": "OUuPH4iMv1h6" } }, { "cell_type": "markdown", "source": [ "## Setup & Overview \n", "In this notebook, we simulate bandit problems using *MAB* (Multi-Armed Bandit) and *CtxBnd* (Contextual Bandit) frameworks. \n", "We compare several agents:\n", "- **Oracle** (with privileged info)\n", "- **RndAg** (Random Agent)\n", "- **ExpFstAg** (Explore-First Agent)\n", "- **UCB_Ag** (UCB Agent)\n", "- **EpsGdAg** (Epsilon-Greedy Agent)\n", "- **LinUCB_Ag** (LinUCB for contextual bandits)\n", "\n", "\n", "Follow the instructions carefully and complete the sections marked with **TODO**." ], "metadata": { "id": "3wBEeVFIzhYZ" } }, { "cell_type": "markdown", "source": [ "## Setup and Environment\n", "\n", "In the upcoming cells, we import necessary libraries, set up utility functions for reproducibility and plotting, and define the basic components of our bandit experiments.\n" ], "metadata": { "id": "VwfSXp0-zx-Z" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "import numpy as np\n", "import random\n", "import time\n", "import os\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import pandas as pd\n", "\n", "from dataclasses import dataclass\n", "from copy import deepcopy\n", "from tqdm.notebook import tqdm\n", "\n", "plt.rcParams['figure.dpi'] = 100" ], "metadata": { "id": "h3sgQXsgBi9C" }, "execution_count": 9, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def plot_logs(df, x_key, y_key, legend_key, **kwargs):\n", " num = len(df[legend_key].unique())\n", " pal = sns.color_palette(\"hls\", num)\n", " if 'palette' not in kwargs:\n", " kwargs['palette'] = pal\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n", " return ax\n", "\n", "def set_seed(s):\n", " np.random.seed(s)\n", " random.seed(s)\n", "\n", "set_seed(0)" ], "metadata": { "id": "FLnDp8jVBuS9" }, "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "source": [ "## MAB Overview \n", "We consider a bandit with 10 arms. Two formulations: \n", "- **Stochastic:** Each arm gives a reward of 1 with probability *p*. \n", "- **Deterministic:** Each arm always returns a fixed reward. \n", " \n", "We'll work with the stochastic case. The reward probabilities will be set randomly." ], "metadata": { "id": "PwRGl9X_Bv3X" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "nArms = 10\n", "p_arr = [np.random.random() for _ in range(nArms)]\n", "print(\"Probabilities:\", p_arr)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "181jbJwpBy3o", "outputId": "978c52ee-1603-4f20-bd6a-583b5094050d" }, "execution_count": 11, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Probabilities: [0.5488135039273248, 0.7151893663724195, 0.6027633760716439, 0.5448831829968969, 0.4236547993389047, 0.6458941130666561, 0.4375872112626925, 0.8917730007820798, 0.9636627605010293, 0.3834415188257777]\n" ] } ] }, { "cell_type": "markdown", "source": [ "**Q:** How might the performance of different agents change if the distribution of probabilities were not uniform? \n", "\n", "**A:** Agents might perform differently; for example, in skewed distributions, agents that rely on exploration may struggle to identify the best arm if the high-probability arm is rarely sampled.\n" ], "metadata": { "id": "OoWfumZ8WAMe" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class MAB_Env:\n", " p_arr: np.ndarray\n", "\n", " def step(self, act):\n", " return 1 if np.random.random() < self.p_arr[act] else 0" ], "metadata": { "id": "e9mtK1rHB0ta" }, "execution_count": 12, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q:** Why does the MAB environment use a simple binary reward mechanism (1 or 0)?\n", "\n", "**A:** The binary reward simplifies analysis and allows focus on the exploration/exploitation trade-off without the added complexity of variable reward magnitudes." ], "metadata": { "id": "VunoR3vLWbJu" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class MAB_Eng:\n", " p_arr: np.ndarray\n", " max_steps: int\n", " agent: any\n", "\n", " def __post_init__(self):\n", " self.env = MAB_Env(p_arr=self.p_arr)\n", "\n", " def run(self, n_runs=1):\n", " logs = []\n", " for _ in tqdm(range(n_runs), desc='Runs'):\n", " run_rewards = []\n", " run_acts = []\n", " self.agent.reset()\n", " for t in range(self.max_steps):\n", " act = self.agent.get_action()\n", " rew = self.env.step(act)\n", " self.agent.update_Q(act, rew)\n", " run_acts.append(act)\n", " run_rewards.append(rew)\n", " logs.append(pd.DataFrame({\n", " 'reward': run_rewards,\n", " 'action': run_acts,\n", " 'step': np.arange(len(run_rewards))\n", " }))\n", " return pd.concat(logs, ignore_index=True)" ], "metadata": { "id": "bjDEAUvcB2Mq" }, "execution_count": 13, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def mab_swp(agents, p_arr, labels, n_runs=2000, max_steps=500):\n", " all_logs = []\n", " for idx, agent in enumerate(tqdm(agents, desc=\"Alg Sweeps\")):\n", " engine = MAB_Eng(p_arr=p_arr, max_steps=max_steps, agent=agent)\n", " log_df = engine.run(n_runs)\n", " log_df['Alg'] = labels[idx]\n", " all_logs.append(log_df)\n", " return pd.concat(all_logs, ignore_index=True)" ], "metadata": { "id": "PVKqd1yzB352" }, "execution_count": 14, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Oracle Agent \n", "The **Oracle** has full knowledge of *p_arr*. \n", "**Question:** What is the maximum expected per-step reward?" ], "metadata": { "id": "HANvMfOBB5sf" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "# The maximum expected reward per step is the max probability.\n", "oracleReward = np.max(p_arr)\n", "print(f'Max possible reward (Solution): {oracleReward}')" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "QN5fN9AQB6nP", "outputId": "7b01052e-ef18-4a91-cc2b-e51575d8d230" }, "execution_count": 16, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Max possible reward (Solution): 0.9636627605010293\n" ] } ] }, { "cell_type": "markdown", "source": [ "**Q:** What insight does the oracle reward give us about the best possible performance?\n", "\n", "**A:** It sets an upper bound for performance. No realistic agent can exceed this bound, so it helps measure the regret of other algorithms.\n", "\n", "-------------------\n", "\n", "**Q:** Why is the oracle considered “cheating” in a practical sense? \n", "\n", "**A:** Because it has access to privileged information (i.e., the true probabilities), which is not available in real-world scenarios." ], "metadata": { "id": "Ph0AzPBBWn3W" } }, { "cell_type": "markdown", "source": [ "## RndAg (Random Agent) \n", "This agent selects an action at random at every timestep. It does no learning.\n" ], "metadata": { "id": "B3O0-XHFCBBn" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "@dataclass\n", "class RndAg:\n", " n_act: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " pass # Random agent does not update\n", "\n", " def get_action(self):\n", " self.t += 1\n", " # Choose uniformly at random from available actions\n", " sel_act = np.random.choice(self.n_act)\n", " return sel_act" ], "metadata": { "id": "8ewIp6X9CAEe" }, "execution_count": 17, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "rnd_agent = RndAg(n_act=len(p_arr))\n", "n_runs = 1000\n", "rnd_log = mab_swp([rnd_agent], p_arr, ['Rnd'], n_runs=n_runs)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 81, "referenced_widgets": [ "bade3f896e1e44cfa7c519fc2e1fb04f", "8dd30f63e0ff4a819f3de1a5b499b36e", "8934c746b9824281be05d7cea0f36c9b", "9a78a26fbb554a0b9cbe0476b7dd635a", "3c5c901b522444529c9f712d513bb646", "05ce1a4a7f524a459665928763a37b5f", "cc0016e8a44744cf9ee52458250bbb20", "aa2dd9cfac8d47309b19beb3f6496aa2", "a0751886dcd44fc894c8129009c2c3cc", "47b09ad87256475b88a112793c9fbf6b", "501177eef6d84ee1b05243058f11cf44", "aae633203d414a32b68a99c4502fde57", "42dd36e4514947daa548fc08fdfd9e0e", "5955867d80484cb3b219778a2c4ba3d3", "3a46b2ef87f44788984a10eb072191b3", "3075c11199ca46ef83bb85995d89e9b5", "5f17dc34e3ef455e84ef60e495682b04", "a06d22b55e394a50ad2d7ff5c7f2d80e", "05041d925af74004813f786155d007c7", "ddd375c080ce4527a94f9b7faa883174", "0f16ed873b0947438eb4bd4d8788a8f6", "b4d4e7f28ec04363bf8ceab421d3e9c7" ] }, "id": "kbxnZuj_CGXX", "outputId": "3215c2c9-6782-4ba0-f515-7ad75a56c50d" }, "execution_count": 18, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** Why is the reward of the random agent generally lower and highly variable?\n", "\n", "**A:** Because it selects arms without learning or optimizing, so its performance fluctuates with chance and it often misses the high-reward arms.\n", "\n", "------------\n", "\n", "**Q:** How might you improve a random agent without using any learning mechanism?\n", "\n", "**A:** You could incorporate a simple heuristic (e.g., use prior knowledge about arm distributions) to bias the random selection, though it still wouldn’t learn from outcomes." ], "metadata": { "id": "aBRys0IMW70_" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "# Plot RndAg reward curve\n", "ax = plot_logs(rnd_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "# Plot the average reward of all arms as a horizontal line\n", "avg_rew = np.mean(p_arr)\n", "plt.axhline(y=avg_rew, color='black', linestyle='--', label=f'Avg Arm Reward ({avg_rew:.2f})')\n", "plt.legend()\n", "plt.title(\"RndAg vs. Avg Arm Reward\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 559 }, "id": "-BfzdE6LCQmr", "outputId": "6e61108f-f48a-4de2-f49c-fc5cb718a5a9" }, "execution_count": 20, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ ":7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- The x-axis shows the number of steps; y-axis shows average reward. \n", "- Regret is the gap between Oracle and agent performance." ], "metadata": { "id": "cvL_AD_kDAjE" } }, { "cell_type": "markdown", "source": [ "## ExpFstAg (Explore-First Agent) \n", "This agent explores randomly for the first *max_ex* steps, then exploits the best arm thereafter." ], "metadata": { "id": "g97GldajDCtl" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "@dataclass\n", "class ExpFstAg:\n", " n_act: int\n", " max_ex: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " # Incremental update: new Q = old Q + (1/count)*(rew - old Q)\n", " self.act_counts[act] += 1\n", " self.Q[act] += (1.0 / self.act_counts[act]) * (rew - self.Q[act])\n", "\n", " def get_action(self):\n", " self.t += 1\n", " if self.t <= self.max_ex:\n", " # Explore: choose random action\n", " sel_act = np.random.choice(self.n_act)\n", " else:\n", " # Exploit: choose action with highest Q value (break ties arbitrarily)\n", " sel_act = np.random.choice(np.flatnonzero(self.Q == self.Q.max()))\n", " return sel_act" ], "metadata": { "id": "8rHoKEQ7DExY" }, "execution_count": 21, "outputs": [] }, { "cell_type": "markdown", "source": [ "### Run ExpFstAg with max_ex = 5 \n", "We will test ExpFstAg (with 5 exploration steps) over 1000 runs and 500 steps." ], "metadata": { "id": "CFqpOFfWDGgc" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "max_ex = 5\n", "expfst_agent = ExpFstAg(n_act=len(p_arr), max_ex=max_ex)\n", "expfst_log = mab_swp([expfst_agent], p_arr, [f'ExpFst{max_ex}'], n_runs=1000, max_steps=500)\n", "plot_logs(expfst_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(f\"ExpFstAg (max_ex={max_ex}) Reward Curve\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 623, "referenced_widgets": [ "faa420f60f744825809f7138766963ae", "69dd80c2e1da4517be005c4454dcdac5", "411faa9a638046d080eb49e2b0260fcb", "0306fa6128564c329eac3084ab4d6567", "e2a461302bc046b5b757f60a15026d7c", "ad904a1995c8422a99800c2f751aec38", "65594e3e85834f098fc6aa2bcd5db0e3", "1c921ef9a71e401fa35bd296c1725a8a", "8393274ef39e4f12a3e5f9c47943f1c7", "91a45369fc4d4bffbdffe6d5038b7043", "70a60b7ccc2f4dd28231057a5e7606b9", "7f94d9c11da24c8aa5b1bbea28c6631c", "07ce45d43ebb40ba9e06c5a62024fe1d", "745d0c0cd7654c6cb1a1494564257d99", "d609f6dbf85c4e4c956d52281893f185", "b9c1731603bb4680ad27ba3641a6aa3e", "23df4e88519c45ec9131c3e438516ece", "9b20281f639140e0bf292e115c0039d7", "685e53fce02a4ddcb05ec1dd49f6ac71", "213e3300cdd94e9b95f3de5750833a26", "d84ac0d3eced45499ca3a0c27689a416", "63b036187a224a29a66c2f59301cc26d" ] }, "id": "D5vEtsEdDJa2", "outputId": "e49da569-3d78-423a-8ff5-04a0ef69425f" }, "execution_count": 22, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- The ExpFstAg should outperform RndAg by identifying the best arm during exploration. \n", "- However, with too short exploration, it may miss the best arm.\n", "\n", "----------\n", "\n", "**Q:** Why might the early exploration phase (e.g., 5 steps) lead to high fluctuations in the reward curve? \n", "\n", "\n", "**A:** With very few samples, the estimate of each arm’s reward is noisy and unstable, causing high variance and fluctuating performance.\n", "\n", "------------\n", "**Q:** What are the trade-offs of using a fixed exploration phase?\n", "\n", "\n", "**A:** A fixed phase might not sample all arms adequately if the phase is too short, or it might waste time if too long, delaying exploitation of the best arm.\n" ], "metadata": { "id": "qEne5JlMDSrd" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "max_ex_list = [5, 10, 50, 100, 200]\n", "logs_list = []\n", "for ex in max_ex_list:\n", " agent = ExpFstAg(n_act=len(p_arr), max_ex=ex)\n", " log_df = mab_swp([agent], p_arr, [f'ExpFst{ex}'], n_runs=1000, max_steps=500)\n", " logs_list.append(log_df)\n", "all_exp_logs = pd.concat(logs_list, ignore_index=True)\n", "\n", "plot_logs(all_exp_logs, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"ExpFstAg: Varying max_ex Reward Curves\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 878, "referenced_widgets": [ "d8e95f98cdf1440784d47e0a653b38bd", "31318f68ca784dd1a6f8b00c28624e54", "09199da7d7cc43aaa078a61163407a12", "f4ebca1e1e0a4297ac59300c0bce8369", "d464adfce66846b7ad5aad102b73b955", "876e3e31e0a84879bdf4c91aa9068b95", "84c46e9827d744efa45c0e9a44d6cb85", "3b38a8011ee84b729e00b1753ed84ff5", "4a38ed37152c40b9bf8d13c169380f59", "98af7fce2be3417ba1c2d901aa58ccaa", "d7eeab6ac12a4b3c844f6bed3e9d15da", "ce4343dbad23428192aaeb99682912e5", "7aae8f5962994a5d9f65d543c2cf06b9", 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"1516053bead04d98b6522315db5d7edf", "2d4fc5bb6397486ea2c641518bb748e3", "c79d93b7dad4460b8b2a5bf0238f0b4e", "49366a39d4284b5a9466f2769783cf24", "e5f04aa7443f42329484afc42861243f", "35edd4e36a994a1c8d920b824e156e7b", "03ba75da3801444ebc87573d1911ec5c", "b6c77d744411494e875a3d811f19f569", "ad834716cc514786b8b952c050747302", "92a0de12c94b42079200fab5ac5ec194", "cd45cadd696b4f9a9e7a092894ce6c16", "b359b065041b46019aa64f7d920e0e86", "7bf167a9e24e464a9630a3d2b89ba182", "5a61c755011646e99232370e98e6725c", "df9b6ee86e944d3e9ffde429c2bb502f", "a0a652aa2637460da22382b35c9083e9" ] }, "id": "vIgNvc8pDUkp", "outputId": "c7970e61-fb7a-4add-a4c4-d2fe6fcc3b3a" }, "execution_count": 24, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Observations:** \n", "- Short exploration (e.g., 5 or 10 steps) may not reliably find the best arm. \n", "- Longer exploration (e.g., 50 or 100 steps) improves performance but may delay exploitation." ], "metadata": { "id": "8jFf0XLqDW4D" } }, { "cell_type": "markdown", "source": [ "**Q:** How does increasing `max_ex` affect the convergence of the agent’s performance?\n", "\n", "\n", "**A:** Increasing `max_ex` gives the agent more time to learn the best arm, leading to a more accurate estimate, but can also delay exploitation and slow overall cumulative reward.\n", "\n", "------------------------------\n", "\n", "**Q:** In real-world scenarios, what challenges might arise in selecting the optimal exploration duration?\n", "\n", "**A:** The optimal duration is problem-dependent and may vary over time; a fixed value might not adapt well to changes in the environment, suggesting the need for adaptive strategies." ], "metadata": { "id": "X5S0aNeFDYzj" } }, { "cell_type": "markdown", "source": [ "## UCB_Ag (UCB Agent) \n", "UCB dynamically balances exploration and exploitation by adding an exploration bonus to Q-values." ], "metadata": { "id": "ELvAdRH6Dbrb" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "@dataclass\n", "class UCB_Ag:\n", " n_act: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.t = 0\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " # Incremental update\n", " self.act_counts[act] += 1\n", " self.Q[act] += (1.0 / self.act_counts[act]) * (rew - self.Q[act])\n", "\n", " def get_action(self):\n", " self.t += 1\n", " delta = 1e-5\n", " bonus = np.array([np.sqrt(2 * np.log(self.t + 1) / (self.act_counts[a] + delta))\n", " for a in range(self.n_act)])\n", " Q_explore = self.Q + bonus\n", " sel_act = np.random.choice(np.flatnonzero(Q_explore == Q_explore.max()))\n", " return sel_act" ], "metadata": { "id": "nYpWrGzXDeUS" }, "execution_count": 26, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "ucb_agent = UCB_Ag(n_act=len(p_arr))\n", "ucb_log = mab_swp([ucb_agent], p_arr, ['UCB'], n_runs=1000, max_steps=500)\n", "plot_logs(ucb_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"UCB_Ag Reward Curve\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 623, "referenced_widgets": [ "f3e2a9543fab418e8ea472d6793e66c2", "60f1018fc4624c6084b2d817f0dd83d0", "7edb06356a7d4e9f93478309fa4cd945", "81b0572a31074970adaa92e2eeb61aef", "5b657a25a1f545feade438f6ba0f81da", "1141fe2c746646909ce4d28a551bf442", "920d6d1aff74455087d52e8fccb4462b", "53af8de3f61a4d2dad3fd384dbdaa341", "38b4c97c5ae94bbfac8183709d93083c", "8a03e4f7dadd45e6a467bfc7cbb8fe41", "132ef1d19f11499e8d31c7d768060dc0", "a411e0b04dc24eb28e673aaa3b687e92", "33e01a5e90814354a0342b14a9eb8611", "6ab34d07aee0469b864bea28b994b28a", "7cf4c85797e44d0689e8b4cacc49abd8", "557cd58ca58644c5a516ef493a7658a6", "c8035b581c884dbc9b8a7926dd0c4d93", "ff542958ff97422494e8472794f4ecec", "429c2416690c4f44bd8ba7cfd64a5270", "51d68110a8c1454c8e4694a431d986a9", "3526f14b7d614b62af725c9ed7e8fbd7", "96a2bdcbe4314c5fb4dc1376f92b78d5" ] }, "id": "pwY6YrmZD2k3", "outputId": "c3f8c12a-c0c1-485b-a86f-cf846ce86ef2" }, "execution_count": 28, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "## UCB vs. ExpFstAg \n", "Now we compare UCB_Ag and ExpFstAg (with max_ex = 5) side by side.\n" ], "metadata": { "id": "zTKnbWbTELXd" } }, { "cell_type": "markdown", "source": [ "**Question:** \n", "Why does UCB learn slowly (even after 500 steps, not reaching maximum reward)? \n", "*Hint:* Consider the conservative nature of the exploration bonus.\n", "\n", "\n", "UCB algorithm can learn slowly because it heavily explores uncertain actions, especially early on. It balances estimated rewards with confidence bounds, which may cause prolonged sampling of suboptimal arms in environments with many similar options or high reward variance. This slows convergence and delays optimal performance, even after many steps.\n" ], "metadata": { "id": "_PO5eSIkENYM" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "# Instantiate both agents\n", "expfst_agent_5 = ExpFstAg(n_act=len(p_arr), max_ex=5)\n", "ucb_agent = UCB_Ag(n_act=len(p_arr))\n", "\n", "# Run experiments for 1000 runs and 1000 steps\n", "log_expfst5 = mab_swp([expfst_agent_5], p_arr, ['ExpFst5'], n_runs=1000, max_steps=1000)\n", "log_ucb = mab_swp([ucb_agent], p_arr, ['UCB'], n_runs=1000, max_steps=1000)\n", "\n", "# Concatenate logs and plot\n", "comp_log = pd.concat([log_expfst5, log_ucb], ignore_index=True)\n", "plot_logs(comp_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"UCB vs. ExpFstAg (max_ex=5) Reward Comparison\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "e506e9d22da14fa8ac205b94b7324016", "5f878a26bb60412e8282f82e44dcde13", "9fd465ae5d41453cb269dbd2c08ac8f2", "c5f7dac5026d4cecb6db59e67181ed78", "a5a5258feb90402093471935310c6e11", "20a795cb3b0f4910bcbb90991fee04a2", "be0cf8ea0b5d4ba988191bf972bdfa94", "996313fa6ff747c3804dbbe600279f5a", "723b28f019ff4b87b8eaf17d63a14269", "6e89b430e3bc4e4883f43859f609ed2f", "97debe8bdf12457386df2114bc94854d", "60d5b3ec7f51497ba3035e3781a5ef70", "ed3e4e688a1140f892caf73292e8e6cf", "c5cbbc8725d04d3ba39c07647ecac84e", "12c74a99076f44c8b85755b094c1f8a6", "db0ee17e26044b4baf90e5183cf205ea", "0ae1fa90b5f84032928480609030f938", "2f9993140a574f12b317a02b02722f8f", "b8b33ba5b670466687defa25c6a4cb5f", "0ee9327e0b6d4286984b3dba66ac8fdb", "10deb3cf80364933bd770ef248173233", "774d5c1c31944ff3979c7b3b633e9bf4", "ec59dcb62208468bb7c8799acb7af81c", "aa498175ab4b4d28930527b82ed3fd6b", "2b0723d6d4f54a55831331ec598bc64f", "e506fdd5bddc4cee83ab4bd9f6840191", "76ed28f24a234536941e4e7081e71d93", "2512734a93384d7089a400913e664693", "cfdd2ae8df8e41dfa5470b1a3c1b0f9e", "dab447c50d724216af29172bf133e6e3", "e236155559ff4b88aa5a2f17f15c68bd", "a444bbd4490e47b3b59cbb02cd1c29a0", "1ac5bdfeeea043fdb2f8ff379e11d5e2", "cd6086db5a3b48cfb1c847d2930c686e", "8f3417777562471481b47ff5ecf42ea8", "e9fd32cf317e48d4b6211faa5dc8a577", "3066e94e0b1f4181aaa05398bca2b9db", "67dd51f62e0142a38c5456fb7f3946ac", "27646e0530ff4537b3b50dcd1972fbd2", "b722d2507b0c40d5b2de87383aa642f5", "74da8b146cef428eb10f95fe5f4dca87", "ba1ee67fc715458c99b11c7d4c535c9d", "afd580cfea9f4ab5ac525603f20c8c03", "f79d83f67ef54de3b914a209f294052d" ] }, "id": "53W53eywENtW", "outputId": "02a11d70-0d1d-4159-ba08-21da671e4386" }, "execution_count": 30, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** Under what conditions might an explore-first strategy outperform UCB, despite UCB’s theoretical optimality?\n", "\n", "**A:** In finite time horizons or when exploration duration is well-tuned, explore-first can quickly latch onto a high-reward arm, whereas UCB’s cautious approach might slow down overall reward accumulation.\n", "\n", "-----------------\n", "**Q:** How do the design choices of each algorithm affect their performance in short-term versus long-term scenarios?\n", "\n", "**A:** Explore-first may perform better short-term if the exploration phase is adequate, while UCB is designed to be asymptotically optimal but might lag in early performance." ], "metadata": { "id": "4bZVQ5DwmLeQ" } }, { "cell_type": "markdown", "source": [ "\n", "**Question:** \n", "What happens if we let ExpFstAg explore for 20 steps? Compare its reward to UCB.\n", "\n", "Letting ExpFstAg explore for 20 steps means its success depends on how accurate its early estimates are. Poor exploration can lead to choosing a suboptimal arm and lower overall reward. In contrast, UCB continually balances exploration and exploitation, adapting to uncertainty over time. This often results in better cumulative rewards than ExpFstAg, especially in longer runs.\n" ], "metadata": { "id": "yg04UIffn2Wz" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "# Instantiate ExpFstAg with 20 exploration steps\n", "expfst_agent_20 = ExpFstAg(n_act=len(p_arr), max_ex=20)\n", "ucb_agent = UCB_Ag(n_act=len(p_arr))\n", "\n", "# Run experiments for 1000 runs and 1000 steps\n", "log_expfst20 = mab_swp([expfst_agent_20], p_arr, ['ExpFst20'], n_runs=1000, max_steps=1000)\n", "log_ucb = mab_swp([ucb_agent], p_arr, ['UCB'], n_runs=1000, max_steps=1000)\n", "\n", "# Concatenate and plot\n", "comp_log2 = pd.concat([log_expfst20, log_ucb], ignore_index=True)\n", "plot_logs(comp_log2, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"UCB vs. ExpFstAg (max_ex=20) Reward Comparison\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "d1fbb61f50494dc38584886d62f317c0", "5370e72497e24f6ababfffcb9fdf9f7e", "481f46f884e2485f88fda38be05dc4cc", "e8c37a87bcb24f7fa9c2f277f038a8ca", "e0cfa679303b4be0b9f91fa41fe9df38", "16e326673e724e549a2f479e2d71e0f1", "032d28b5ec2245658918a9c4a64d7171", "7619828c3ff64d1e8fd76eab3c348334", "dae198c62e0d40cdb47720dce6c4022a", "229fe89ec85c4b02bf0a0f575781f8d6", "b035c344e52a475ab973d0486fe7c05e", "99f0e209a5dc4a42ac5217535ac52e2a", "9da3eeff966040c88d7ce7ad592dbc0a", "d75b34dda0654f09ae34180b46917faa", "55948fcf577f4968a36acb0182dc1ca8", "a7f06d0f36a14ca4ad9998af344bd5e9", "8094576893fc49b5a8ed953da4adf4f0", "9502e87dd65247e28219ecba43e73cce", "139d4261eb964b58b6f18f1e092a2e92", "6bdf65698d4846a68d3bf20361c9da92", "573b4b5f9e624d008c77adfc061eb05b", "6f6e3282a75d4147a50babeabea7652b", "0ff54a069be04847a87ca76eb07f66c1", "ddd17bcf480e45acbf28848d7c21af6f", "22cf7ffd1d5b4e3480ff51f5612b444f", "e10b8c72212141cc869c665429a17039", "838bac249ce249688b5877bff76c2176", "27c38666b9654349b81eac728b5e68f3", "60558e0ce10741f0b622daf293c88d9f", "19a6c526e10e4cf9b04a07c226632929", "33b17e61f4c840b6a967789a19dd837f", "e5c902a9ad3148c2911d8cf15b76eefb", "1bc8eb5ee516452bb782155362a52f22", "40a358b3ab6e4badb64a78cce993e048", "3b10372208694e28b42fbf6e9b45808d", "2fa6dc3ccbf44a1596a46bc2205bbd09", "793c8df0d7d44b0cb706712edf1c6ba6", "7d11894df61a442fb16ede3bfbff942f", "0ff41a362d6e4135a30fbbb1ca3b86f8", "7908f7f272694b789d16def2938b3c42", "3194676e5efd4f459c0d5b41b98ee797", "b55bc36b561d44588b3634e507a97091", "b15b8c877e474549a1f3f9e867372bed", "41e2a4637d4242bd8bb0e23d657eae85" ] }, "id": "g-bEqQfvFEUD", "outputId": "0f37d4c2-f1f7-4eab-f320-7c3b809f2b94" }, "execution_count": 31, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** What impact does increasing the exploration phase to 20 steps have compared to 5 steps?\n", "\n", "**A:** It allows more accurate estimation of arm rewards, reducing early variability, but delays exploitation which might lower cumulative reward if exploration goes on too long.\n", "\n", "---------------\n", "\n", "**Q:** How can you determine the optimal balance between exploration and exploitation in practice?\n", "\n", "**A:** By conducting experiments, using cross-validation, or employing adaptive methods that adjust the exploration rate based on real-time performance metrics." ], "metadata": { "id": "bJA36WlkmTO2" } }, { "cell_type": "markdown", "source": [ "**Q:** We know that UCB is optimal. Why might ExpFstAg perform better in practice? \n", "**A:** UCB is provably optimal in the asymptotic sense, its conservative exploration strategy can lead to suboptimal performance in finite-sample settings. ExpFstAg, by contrast, may employ a more aggressive or adaptive exploration mechanism that quickly narrows down promising actions, thereby reducing wasted trials on clearly inferior options. This often results in lower empirical regret on practical time scales, as the algorithm efficiently balances exploration and exploitation in real-world scenarios where the theoretical worst-case guarantees of UCB are less relevant." ], "metadata": { "id": "_s3Mzu36FvPc" } }, { "cell_type": "markdown", "source": [ "## Skewed Arms Scenario \n", "We now consider a skewed probability distribution where one arm is significantly better." ], "metadata": { "id": "SpAs4CLFFx-a" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "skewed_p = [0.1, 0.2, 0.15, 0.21, 0.3, 0.05, 0.9, 0.13, 0.17, 0.07,\n", " 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01, 0.01]\n", "# Set max_ex to number of arms\n", "expfst_skew_agent = ExpFstAg(n_act=len(skewed_p), max_ex=len(skewed_p))\n", "ucb_skew_agent = UCB_Ag(n_act=len(skewed_p))\n", "\n", "# Run experiments in the skewed scenario\n", "log_expfst_skew = mab_swp([expfst_skew_agent], skewed_p, ['ExpFst_Skew'], n_runs=1000, max_steps=1000)\n", "log_ucb_skew = mab_swp([ucb_skew_agent], skewed_p, ['UCB_Skew'], n_runs=1000, max_steps=1000)\n", "\n", "# Concatenate and plot\n", "skew_log = pd.concat([log_expfst_skew, log_ucb_skew], ignore_index=True)\n", "plot_logs(skew_log, x_key='step', y_key='reward', legend_key='Alg', estimator='mean', ci=None)\n", "plt.title(\"Skewed Arms: UCB vs. ExpFstAg\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 687, "referenced_widgets": [ "18394ca41ee641f2b40dda9904819cca", "cbbb40db79be489291c7fca2194e36b2", "8e02c66a985c461cb68e772814a27ee1", "5c658a783e074a6f8ad6cc1142df6685", "be19d694bf814e4a9b2c8dc3ce774c2e", "de7e0730aacc409b8940b22a586e95a4", "c6d0346060784885aa04106bc2008f15", "ed31836bd82844f9b4b22cf59401c64a", "7793d9ece48740faaed46c5705bdde5c", "ebed0829a16348bfb14ba01aa16fed1d", "f2f42e8e6f52491f83bc3722de25413b", "fa48e29d1922427a9bdf5282b0778569", "a7e87d1da3094c8080df888e693fef68", "3ecf252d1f1941db9fb20c3a52ffb072", "f4086f2919cc4ea493586168445b8366", "53e602d611854f438ff3f0dbbbef5520", "05086720071040a7acaebe1956068a46", "b32e93d6c7934435871944efcf7a888f", "9d5dc9f28be743cabbaab0275bbe808c", "a83cf7c577d74660ad000c771a57489b", "42fc3de8b27d4ca8a9f8f9e547b1b347", "a459ad2c36744fe6a32d53c8e846f8df", "9a795a8a5df4460097d1c58c71d286c5", "82a98aef3e07441b90e7771d8e59e2a3", "dda8541cba584f88a7d3faf6279982e6", "e1b6c66072ed4371a39f27a1f812ad3c", "cb417522f6bc4ff4aa9a4cad1ad8fecc", "c0904adc89dd4f08bb6b184f8417d6c4", "6a2ffe1a06f24dc0a27c54def4cf9947", "e2dab9e1fc404066948401b1a2fd4a87", "ae3563070028449996ad5ee7c718f58a", "fc8edb0d608541bf994867daf8c5331d", "b8b0145197984f5a846e4541f4da94b7", "d1d5747eebfd4ad69e7377ae20cc1b30", "fe4fd7a8226d4e3a8a1972e65956db76", "a68c86cf9b4b47f69bfced5f74924adf", "901f79756cba42979ad26e327a4cf624", "72eb21ac7eeb45ff87a2b8459d49ceef", "99c5a750207b4bafa06de875287f4e90", "0c26b265c830412cba771e1381b39542", "5189cfc0bd044cb396067e5877cacb0d", "6210ef98086a4a9a9042df099506f592", "e1342161dc824cc5a0797bc77fb591b3", "d4f0d2ef8c6f413c94a7b828f93207b5" ] }, "id": "2jF_8VmDF16i", "outputId": "f4cec285-9c20-4170-9044-846b8a574f6d" }, "execution_count": 33, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Result Analysis:** \n", "- In skewed scenarios, ExpFstAg with limited exploration may miss the best arm. \n", "- UCB_Ag, with its adaptive bonus, typically outperforms under such conditions." ], "metadata": { "id": "71puZc4hGIh1" } }, { "cell_type": "markdown", "source": [ "## EpsGdAg (Epsilon-Greedy Agent) \n", "This agent selects the best-known action with probability (1-ε) and a random action with probability ε." ], "metadata": { "id": "BtSdQLjJGJ-5" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "@dataclass\n", "class EpsGdAg:\n", " n_act: int\n", " eps: float = 0.1\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.act_counts = np.zeros(self.n_act, dtype=int)\n", " self.Q = np.zeros(self.n_act, dtype=float)\n", "\n", " def update_Q(self, act, rew):\n", " self.act_counts[act] += 1\n", " self.Q[act] += (1.0 / self.act_counts[act]) * (rew - self.Q[act])\n", "\n", " def get_action(self):\n", " if np.random.rand() < self.eps:\n", " # Explore: choose random action\n", " sel_act = np.random.choice(self.n_act)\n", " else:\n", " # Exploit: choose best action (with tie-breaker)\n", " sel_act = np.random.choice(np.flatnonzero(self.Q == self.Q.max()))\n", " return sel_act" ], "metadata": { "id": "THham-blGNRV" }, "execution_count": 34, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Analysis:** \n", "- Lower ε values favor exploitation, yielding higher reward when estimates are good. \n", "- Higher ε increases exploration but reduces immediate reward. \n", "- One strategy: decay ε over time (e.g., ε = ε₀ / t) or switch to ε = 0 after a burn-in period.\n", "\n", "-----------\n", "\n", "**Q:** Why does a high ε value result in lower immediate rewards? \n", "\n", "**A:** Because a higher ε means more random (exploratory) actions, which can result in selecting suboptimal arms more frequently.\n", "\n", "----------\n", "**Q:** What benefits might there be in decaying ε over time?\n", "\n", "**A:** Decaying ε allows the agent to explore early on when uncertainty is high and gradually shift towards exploitation as the agent’s estimates become more reliable.\n" ], "metadata": { "id": "vdwZ2PCXGUgU" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "eps_vals = [0, 0.1, 0.2, 0.4]\n", "eps_logs = []\n", "for eps in eps_vals:\n", " agent = EpsGdAg(n_act=len(p_arr), eps=eps)\n", " log_df = mab_swp([agent], p_arr, [f'Eps_{eps}'], n_runs=1000, max_steps=500)\n", " log_df['eps'] = eps\n", " eps_logs.append(log_df)\n", "all_eps_logs = pd.concat(eps_logs, ignore_index=True)\n", "\n", "plot_logs(all_eps_logs, x_key='step', y_key='reward', legend_key='eps', estimator='mean', ci=None)\n", "plt.title(\"EpsGdAg: Reward Curves for Various ε\")\n", "plt.show()" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 815, "referenced_widgets": [ 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"b573840963934a51841413f675ae9f42", "0ef3e26a29d548259e04aab425357019", "b3504e56a8c7427cbbf925c91832f473", "3c1abbb163924f2c8643ae48e9c9ddd9", "d2ada7b192f740ebb781707028f96289", "20fc899205ac4ec18997ef9276af69cc", "e70b1f65e01b4a92ae430458d16119bc" ] }, "id": "SSotZiK4GbY2", "outputId": "951ac219-5deb-45f9-c4e5-0a8f95ea9f70" }, "execution_count": 35, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alg Sweeps: 0%| | 0/1 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** How do the reward curves for different ε values reflect the exploration–exploitation balance? \n", "\n", "**A:** Lower ε values show more stable, higher rewards as the agent exploits learned knowledge, whereas higher ε values exhibit more variability and lower cumulative rewards due to excessive exploration.\n", "\n", "------------------\n", "\n", "**Q:** Under what circumstances might you choose a higher ε despite lower average reward?\n", "\n", "**A:** In highly dynamic environments where constant adaptation is needed, a higher ε ensures continuous exploration to adjust to changes.\n" ], "metadata": { "id": "5krzDxEgoSWx" } }, { "cell_type": "markdown", "source": [ "## Contextual Bandits (CtxBnd) \n", "We now move to contextual bandits using real data. \n", "Imagine a website promoting one of 10 products; reward = 1 if clicked, 0 otherwise. \n", "The dataset has shape [10000, 102]: \n", "- Column 0: chosen arm \n", "- Column 1: reward \n", "- Columns 2-101: 100-dimensional context features" ], "metadata": { "id": "TuGwvDC9Gh8G" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "# Download the dataset (if not already downloaded)\n", "!wget -q http://www.cs.columbia.edu/~jebara/6998/dataset.txt -O dataset.txt" ], "metadata": { "id": "JsC3zvWWGi2t" }, "execution_count": 36, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "ctxData = np.loadtxt('dataset.txt')\n", "print(\"Dataset shape (Solution):\", ctxData.shape)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "5w_D25PNGrRV", "outputId": "0a9f2fe5-442a-49a3-cc3d-3fe4b27346cf" }, "execution_count": 37, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Dataset shape (Solution): (10000, 102)\n" ] } ] }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class CtxBnd_Env:\n", " data: any\n", " t: int = 0\n", "\n", " def step(self, act):\n", " # If the selected action matches the logged action, return the reward; else None.\n", " if act == self.data[self.t, 0]:\n", " rew = self.data[self.t, 1]\n", " else:\n", " rew = None\n", " self.t += 1\n", " return rew\n", "\n", " def reset(self):\n", " self.t = 0" ], "metadata": { "id": "NSwUAQgVGyOT" }, "execution_count": 38, "outputs": [] }, { "cell_type": "markdown", "source": [ "## LinUCB_Ag (LinUCB for CtxBnd) \n", "This agent uses context features to compute an upper confidence bound for each arm." ], "metadata": { "id": "oyRgS7PvG3Mw" } }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "@dataclass\n", "class LinUCB_Ag:\n", " n_act: int\n", " alpha: float\n", " feat_dim: int\n", "\n", " def __post_init__(self):\n", " self.reset()\n", "\n", " def reset(self):\n", " self.As = [np.eye(self.feat_dim) for _ in range(self.n_act)]\n", " self.bs = [np.zeros((self.feat_dim, 1)) for _ in range(self.n_act)]\n", "\n", " def get_ucb(self, a, state):\n", " # state is a feature vector of shape (feat_dim,)\n", " x = np.array(state).reshape(-1, 1)\n", " A_inv = np.linalg.inv(self.As[a])\n", " theta = A_inv @ self.bs[a]\n", " p = (theta.T @ x)[0, 0] + self.alpha * np.sqrt((x.T @ A_inv @ x)[0, 0])\n", " return p\n", "\n", " def update_params(self, a, rew, state):\n", " if rew is None:\n", " return\n", " x = np.array(state).reshape(-1, 1)\n", " self.As[a] += x @ x.T\n", " self.bs[a] += rew * x\n", "\n", " def get_action(self, state):\n", " p_est = [self.get_ucb(a, state) for a in range(self.n_act)]\n", " # Choose arm with maximum estimated UCB (ties broken arbitrarily)\n", " sel_act = np.random.choice(np.flatnonzero(np.array(p_est) == np.array(p_est).max()))\n", " return sel_act" ], "metadata": { "id": "tAynv60kG7Gn" }, "execution_count": 39, "outputs": [] }, { "cell_type": "markdown", "source": [ "**Q:** How does LinUCB leverage context to outperform classical bandit algorithms? \n", "\n", "**A:** LinUCB uses the context features to estimate expected rewards with a linear model, which can provide more tailored decisions when context correlates with reward.\n", "\n", "------------------\n", "\n", "**Q:** What is the role of the α parameter in LinUCB, and how does it affect the exploration bonus?\n", "\n", "**A:** The α parameter scales the confidence interval; a higher α encourages more exploration by increasing the bonus, while a lower α emphasizes exploitation based on current estimates." ], "metadata": { "id": "GuWTVL-roilP" } }, { "cell_type": "code", "source": [ "# %% [code]\n", "@dataclass\n", "class CtxBnd_Eng:\n", " data: any\n", " agent: any\n", "\n", " def __post_init__(self):\n", " self.env = CtxBnd_Env(data=self.data)\n", "\n", " def run(self, n_runs=1):\n", " logs = []\n", " for _ in tqdm(range(n_runs), desc='CtxRuns'):\n", " aligned_ctr = []\n", " ret_val = 0\n", " valid_steps = 0\n", " self.env.reset()\n", " self.agent.reset()\n", " for t in tqdm(range(self.data.shape[0]), desc='Time'):\n", " state = self.data[t, 2:]\n", " act = self.agent.get_action(state=state)\n", " rew = self.env.step(act)\n", " self.agent.update_params(act, rew, state=state)\n", " if rew is not None:\n", " ret_val += rew\n", " valid_steps += 1\n", " aligned_ctr.append(ret_val / float(valid_steps))\n", " logs.append(pd.DataFrame({'aligned_ctr': aligned_ctr, 'step': np.arange(len(aligned_ctr))}))\n", " return pd.concat(logs, ignore_index=True)" ], "metadata": { "id": "vCrJit0BHB-H" }, "execution_count": 40, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code]\n", "def ctxBnd_swp(alphas, data, n_runs=2000):\n", " logs = []\n", " for alpha in tqdm(alphas, desc=\"Alpha Sweeps\"):\n", " agent = LinUCB_Ag(n_act=10, feat_dim=100, alpha=alpha)\n", " eng = CtxBnd_Eng(data=data, agent=agent)\n", " log_df = eng.run(n_runs)\n", " log_df['alpha'] = alpha\n", " logs.append(log_df)\n", " return pd.concat(logs, ignore_index=True)" ], "metadata": { "id": "rcY6JubQHECs" }, "execution_count": 41, "outputs": [] }, { "cell_type": "code", "source": [ "# %% [code] Solution Version\n", "alphas = [0, 0.01, 0.1, 0.5]\n", "logs_ctx = ctxBnd_swp(alphas, ctxData, n_runs=1)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 305, "referenced_widgets": [ "158d7d5363e14bafa1da381edd11cca2", "1a6333e51bc44bca823daeeee2ab8a82", "ba9d0849d65f4e89ba159fc8e4ee5cf4", "94156c09d7c6482ea62011a28b9fd8fa", "91d0bc3d13c7468e9cfc7759b53c095c", "44cf4a39bd764dc39197c702f4bff17e", "721016d2367549eea786dbe46d82a7dd", "e7583d2cc2e8441c8b0e834e7aacdf75", "671dce48899044cfb6e2c67e6b067f0e", "3b89682e957d43d1bbfea1972f03af65", "c5627effbbdc45ad84d3fce743e60f02", "2dba9fc7ca844132b4495ea9055759ba", "78e555d62cb64ff1a4d694374ea98e7e", "1af5cd99ad914d5da7b21f187fecc489", "49522a5f03a44794b2a47f649797e94b", "bfa01ab9ea984ac3819f244e8be1b902", "f9a3e1f5cbc54cd8966efe293cb5391c", "f343f996fd2a40a588190f4eb1fefcb5", "b58e60a4223c420eada11694f027b811", "81766acd014145368e75cc33a1b1ac87", "c014fdbe30c64812bf6ff2f2fe2f83ab", "1d4a7fc83ef84843ba558b9300df230d", "8df2e51b05c04205bd53269354dce616", "f3d75bac87444de991fabe58ad019efa", "675b46f4f5034a5d89afd8f8e8393fd1", "eba480f6a30c4089b546d5f471d33de7", "15ef3205d94c4dc5bc45ea4d5065b39e", "0f07597c260d4276af185627a1570ff9", "67349d05afd648488d281fdce1e3c50c", "bc25d3c6900e4c11b6459070f4d36c70", "7b80868444d145c9b9d2cd32c16fe676", "3cacded874074639b665a0b527abca7f", "7b1c3bf0bc62482090450da6025334a2", "a2edde1b782b46b2ac5ff6bb45fae392", "0d5365627fc84e95936b425906454e21", "c6deaef3bf7244b6a6ccf04e937de53b", "9d298fb7af5c4c7c8c0a0b0536860484", "12e77fb3739f48c1b63ca75b91ccac73", "efbc8fd151cb435597c323a97718fb9d", "4289485dc8084c4a97140d75b87ba9e2", "d946c848908e411cb5d284cb7472e067", "1b59a8d54a6d48adb03fcec1ff8bdc3d", "366f5b7111114250a92174e8aaa1df48", "2e3a0fdb58d74efb90c89e7710b602f6", "765333c0bf4c43e4b8eefeb56e6418fc", "bf3cb39921024a8e9ea90d1198221e40", "58a84398767c4cc4bac683b8e5b45d17", "3ed857e9de6f4630a64c6fceccca8eb0", "aa28ba9d1a7e4d929a1589ea01d38af8", "5c3d67eaea1747759ce7b1a0108a48c3", "6388a5fa9d334a549e8acdbc7dd1d24c", "189d91a391944ae7acedb572117144bf", "10e0d835011c4727a11fdf36f3889149", "aa84bb03bdc64ab99799026044deefd9", "14b4d09cc6fe4b2da520376a0599251d", "e6a6b4e5e0cc4523bf42e9c1ea422f5f", "2dda1eb627024305a736d58a328596e7", "e1c6289516b841b58bf3403bf4e02fa9", "27f991cef92540d8a048a1bb3ccb8548", "cf77b17c502e4cea9dc84bf2800ee9ce", "7e49ed3a3f9345279a4eb01be52dbea7", "afc2dcdbe2aa4352b59a90ef03e24104", "6b89defaa2f640b89f9ff6a8800c95cb", "a83171f7bb4e42cc8268ac1dd2468476", "a5d24add1e9e4b31a4e92e6c416d2ea3", "3309136942c24012ae0f30c460f16948", "4f9b68d54e5247d794dbdb2514cb1960", "59a9aff8ed8a4d69a7e9238162897fd2", "4a1088fcafc54f52b6c5a5bca0f4eb5c", "4c7058e6bd5e45ec9f4ceba1a351e73c", "0085d7a7f1a74e1b8a2ff3eed8941357", "151fb1d2372c4432b0a05d8d5e333099", "6b05b242f80a442c8e314e625cf344b5", "bee3bc586a294365b236b234a0debed1", "bebe86c11b54435890a7d3f6583a82f6", "9ebb73ffd5914ba7ab072dd9138088c8", "4ed8bea852c24a16a43b24f487ca4276", "5a06ca8a8f644e5a9272eb97946a6a0f", "bcd4668610a6490d9ea740f4bf429321", "ba9e96bc4ef0451f802dfe34729c4741", "fb58400bd8d44d4abcd2c16ec2a20418", "aec9ad2a025349d8a981c1df4acd2786", "74735ac5ad844415a6eccc9752f35420", "e69a4fdd58e04ab8a2177000d37eb552", "48174339dc7a492ea46ab8b2f13d3aa5", "824e616a08c04defbb5b1874f0734c44", "a5a412227c174247a7212aa1387bc368", "217db0d254464af98b92bbab2dda01ab", "c124e0ac494446fdaee430a42aca952e", "e5c4af4a99364e6d8eba55f34a680dd0", "784ccd379e9a46d8b743fc8bd4486d12", "b8aa1cd474bf45a6b9c244e966512696", "0a19c4c97cae42ab83f3a5fe47241652", "96a8efd30dfc418eb7a808fc3f815842", "78a30ff0104e4eb480b57f933fdfab03", "489a41fb0a6948f39fcc31a42c5f283d", "5c68cfa6802c40c9a3986a0d8579d434", "eae09c4f87084eb9a25b7f0eadc8f9d3", "bc0484b55da34ee1a962f4f971bbcde9" ] }, "id": "LIFaadHSHHVF", "outputId": "b2ea5990-0743-489f-d8c5-f0095dfee5f8" }, "execution_count": 42, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "Alpha Sweeps: 0%| | 0/4 [00:00:7: FutureWarning: \n", "\n", "The `ci` parameter is deprecated. Use `errorbar=None` for the same effect.\n", "\n", " ax = sns.lineplot(x=x_key, y=y_key, data=df, hue=legend_key, **kwargs)\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "**Q:** What does **α** affect in LinUCB? \n", "\n", "**A:** α directly scales the uncertainty term in the upper confidence bound, which modulates the exploration-exploitation trade-off. A larger α enlarges the confidence interval, pushing the algorithm to explore actions with high uncertainty—even if their estimated rewards are lower—while a smaller α tightens the interval, leading to a focus on exploiting actions with high current estimates. This parameter is critical in determining how aggressively the algorithm searches for potentially better actions versus relying on known performance.\n", "\n", "------------------\n", "\n", "**Q:** Do the reward curves change with **α**? Explain why or why not.\n", "\n", "**A:** The effect of α on reward curves depends on its role in the algorithm. If α directly scales the reward signal, then the curves will shift accordingly since the absolute magnitude of rewards changes. However, if α only adjusts the learning dynamics—say, by modulating the update rate without altering the inherent reward values—the shape of the reward curve remains the same, although the speed of convergence or the variance along the curve might differ. In essence, whether the reward curves change with α hinges on whether α modifies the reward structure or simply influences how quickly the algorithm learns from the same rewards." ], "metadata": { "id": "Sq3jmaYnHKXn" } }, { "cell_type": "markdown", "source": [ "**Q:** Based on your experiments, does LinUCB outperform the standard UCB algorithm? Why or why not?\n", "\n", "**A:** Answers may vary, but a typical answer is that LinUCB can outperform standard UCB when the context is informative because it personalizes decisions; however, if the context is noisy, its advantage may diminish.\n", "\n", "------------------\n", "\n", "**Q:** What are the key limitations of each algorithm, and how would you choose between them for a given application?\n", "\n", "**A:** UCB is simple and parameter-free but may converge slowly, while LinUCB requires context and proper tuning of α. The choice depends on the availability of side information and the time horizon of the problem." ], "metadata": { "id": "hZE7mWmDI-XS" } }, { "cell_type": "markdown", "source": [ "# Some final question\n", "## Finite‑Horizon Regret and Asymptotic Guarantees:\n", "Question:\n", "Many algorithms (e.g., UCB) are analyzed using asymptotic (long‑term) regret bounds. In a finite‑horizon scenario (say, 500–1000 steps), explain intuitively why an algorithm that is asymptotically optimal may still yield poor performance. What trade‑offs arise between aggressive early exploration and cautious long‑term learning?\n", "Deep Dive:\n", "Discuss how the exploration bonus, tuned for asymptotic behavior, might delay exploitation in finite time, leading to high early regret despite eventual convergence.\n", "\n", "\n", "\n", "\n", "## Hyperparameter Sensitivity and Exploration–Exploitation Balance:\n", "Question:\n", "Consider the impact of hyperparameters such as ε in ε‑greedy, the exploration constant in UCB, and the α parameter in LinUCB. Explain intuitively how slight mismatches in these parameters can lead to either under‑exploration (missing the best arm) or over‑exploration (wasting pulls on suboptimal arms). How would you design a self‑adaptive mechanism to balance this trade‑off in practice?\n", "Deep Dive:\n", "Provide insight into the “fragility” of these parameters in finite runs and how a meta‑algorithm might monitor performance indicators (e.g., variance in rewards) to adjust its exploration dynamically.\n", "\n", "\n", "## Context Incorporation and Overfitting in LinUCB:\n", "Question:\n", "LinUCB uses context features to estimate arm rewards, assuming a linear relation. Intuitively, why might this linear assumption hurt performance when the true relationship is complex or when the context is high‑dimensional and noisy? Under what conditions can adding context lead to worse performance than classical (context‑free) UCB?\n", "Deep Dive:\n", "Discuss the risk of overfitting to noisy or irrelevant features, the curse of dimensionality, and possible mitigation strategies (e.g., dimensionality reduction or regularization).\n", "\n", "## Adaptive Strategy Selection:\n", "Question:\n", "Imagine designing a hybrid bandit agent that can switch between an explore‑first strategy and UCB based on observed performance. What signals (e.g., variance of reward estimates, stabilization of Q‑values, or sudden drops in reward) might indicate that a switch is warranted? Provide an intuitive justification for how and why such a meta‑strategy might outperform either strategy alone in a finite‑time setting.\n", "Deep Dive:\n", "Explain the challenges in detecting when exploration is “enough” and how early exploitation might capture transient improvements even if the long‑term guarantee favors UCB.\n", "\n", "\n", "## Non‑Stationarity and “Forgetting” Mechanisms:\n", "Question:\n", "In non‑stationary environments where reward probabilities drift or change abruptly, standard bandit algorithms struggle because they assume stationarity. Intuitively, explain how and why a “forgetting” or discounting mechanism might improve performance. What challenges arise in choosing the right decay rate, and how might it interact with the exploration bonus?\n", "Deep Dive:\n", "Describe the delicate balance between retaining useful historical information and quickly adapting to new trends, and the potential for “chasing noise” if the decay is too aggressive.\n", "\n", "## Exploration Bonus Calibration in UCB:\n", "Question:\n", "The UCB algorithm adds a bonus term that decreases with the number of times an arm is pulled. Intuitively, why might a “conservative” (i.e., high) bonus slow down learning—even if it guarantees asymptotic optimality? Under what circumstances might a less conservative bonus be beneficial, and what risks does it carry?\n", "Deep Dive:\n", "Analyze how a high bonus may force the algorithm to continue sampling even when an arm’s estimated reward is clearly suboptimal, thereby delaying convergence. Conversely, discuss the risk of prematurely discarding an arm if the bonus is too low.\n", "\n", "\n", "## Exploration Phase Duration in Explore‑First Strategies:\n", "Question:\n", "In the Explore‑First agent (ExpFstAg), how does the choice of a fixed exploration period (e.g., 5 vs. 20 steps) affect the regret and performance variability? Provide a scenario in which a short exploration phase might yield unexpectedly high regret, and another scenario where a longer phase might delay exploitation unnecessarily.\n", "Deep Dive:\n", "Discuss how the “optimal” exploration duration can depend heavily on the underlying reward distribution’s variance and the gap between the best and other arms, and why a one‑size‑fits‑all approach may not work in practice.\n", "\n", "\n", "## Bayesian vs. Frequentist Approaches in MAB:\n", "Question:\n", "Compare the intuition behind Bayesian approaches (such as Thompson Sampling) to frequentist methods (like UCB) in handling uncertainty. Under what conditions might the Bayesian approach yield superior practical performance, and how do the underlying assumptions about prior knowledge influence the exploration–exploitation balance?\n", "Deep Dive:\n", "Explore the benefits of incorporating prior beliefs and the risk of bias if the prior is mis-specified, as well as how Bayesian updating naturally adjusts the exploration bonus as more data is collected.\n", "\n", "\n", "## Impact of Skewed Reward Distributions:\n", "Question:\n", "In environments where one arm is significantly better (skewed probabilities), explain intuitively why agents like UCB or ExpFstAg might still struggle to consistently identify and exploit that arm. What role does variance play in these algorithms, and how might the skew exacerbate errors in reward estimation?\n", "Deep Dive:\n", "Discuss how the variability of rare but high rewards can mislead the agent’s estimates and cause prolonged exploration of suboptimal arms.\n", "\n", "\n", "##Designing for High-Dimensional, Sparse Contexts:\n", "Question:\n", "In contextual bandits where the context is high-dimensional but only a few features are informative, what are the intuitive challenges that arise in using a linear model like LinUCB? How might techniques such as feature selection, regularization, or non-linear function approximation help, and what are the trade-offs involved?\n", "Deep Dive:\n", "Provide insights into the risks of overfitting versus underfitting, the increased variance in estimates from high-dimensional spaces, and the potential computational costs versus performance gains when moving from a simple linear model to a more complex one." ], "metadata": { "id": "rGP4iFTjI-9f" } } ] }