examples/quickstart/rtb/rtb_synthetic_discrete_basic.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Quickstart Example with Synthetic RTB Simulation and Dataset (Discrete)\n",
        "This notebook provides an example of conducting **Off-policy Evaluation (OPE) and Offline Reinforcement Learning (Offline RL) on a synthetic Real-Time Bidding (RTB) dataset**.\n",
        "\n",
        "This example consists of the following 5 steps: \\\n",
        "0. (Setup Synthetic RTB Simulation Environment and Online RL)\n",
        "1. Synthetic Data Generation\n",
        "2. Offline Reinforcement Learning\n",
        "3. Off-Policy Evaluation and Evaluation of Offline RL methods\n",
        "4. Evaluation of OPE methods\n",
        "\n",
        "\\* This library uses [d3rlpy](https://github.com/takuseno/d3rlpy)'s algorithm implementations of online/offline rl policies and model-based evaluation.  \n",
        "\\* Also, our implementations of OPE are highly inspired by [Open Bandit Pipeline](https://github.com/st-tech/zr-obp)."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import SCOPE-RL modules\n",
        "import scope_rl\n",
        "from rtbgym import RTBEnv, CustomizedRTBEnv\n",
        "from scope_rl.dataset import SyntheticDataset\n",
        "from scope_rl.policy import OnlineHead\n",
        "from scope_rl.ope.online import (\n",
        "    calc_on_policy_policy_value,\n",
        "    visualize_on_policy_policy_value,\n",
        ")\n",
        "\n",
        "# import d3rlpy algorithms\n",
        "from d3rlpy.algos import DiscreteRandomPolicyConfig\n",
        "from d3rlpy.algos import RandomPolicyConfig as ContinuousRandomPolicyConfig\n",
        "from d3rlpy.preprocessing import MinMaxObservationScaler, MinMaxActionScaler\n",
        "\n",
        "# import from other libraries\n",
        "import gym\n",
        "import torch"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "import pickle\n",
        "from glob import glob\n",
        "from tqdm import tqdm\n",
        "\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "0.2.1\n"
          ]
        }
      ],
      "source": [
        "# version\n",
        "print(scope_rl.__version__)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# set random state\n",
        "random_state = 12345"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "device = \"cuda:0\" if torch.cuda.is_available() else \"cpu\""
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# log directory\n",
        "from pathlib import Path\n",
        "Path(\"logs/\").mkdir(exist_ok=True)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "# ignore warnings\n",
        "import warnings\n",
        "warnings.simplefilter('ignore')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 0. (Setup Synthetic RTB Simulation Environment and Online RL)\n",
        "To begin with, we briefly describe how the RTB environment works for the preparation.\n",
        "\n",
        "#### RL setup for RTB\n",
        "In RTB, the objective of the RL agent is to maximize some KPIs (number of clicks or conversions) within an episode under given budget constraints.  \n",
        "We often try to achieve this by adjusting bidding price function parameter $\\alpha$. By using $\\alpha$, we can adjust the bid price as follows.  \n",
        "$bid_{t,i} = \\alpha \\cdot r^{\\ast}$, \n",
        "where $r^{\\ast}$ denotes a predicted or expected reward (KPIs).\n",
        "\n",
        "We often formulate this RTB problem as the following Constrained Markov Decision Process (CMDP):\n",
        "- `timestep`: One episode (a day or a week) consists of several timesteps (24 hours or seven days, for instance).\n",
        "- `state`: We observe some feedback from the environment at each timestep, which includes the following.\n",
        "  - timestep\n",
        "  - remaining budget\n",
        "  - impression level features (budget consumption rate, cost per mille of impressions, auction winning rate, reward) at the previous timestep\n",
        "  - adjust rate (RL agent's decision making) at the previous timestep\n",
        "- `action`: Agent chooses adjust rate parameter $\\alpha$ to maximize KPIs.\n",
        "- `reward`: Total number of clicks or conversions obtained during the timestep.\n",
        "- `constraints`: The pre-determined episodic budget should not be exceeded.\n",
        "\n",
        "For more about the environmental configuration , please refer to [examples/quickstart/rtb/rtb_synthetic_customize_env.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_customize_env.ipynb).\n",
        "\n",
        "Let's see how it works!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "# setup environment\n",
        "env = RTBEnv(random_state=random_state)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define a random agent\n",
        "agent = OnlineHead(\n",
        "    ContinuousRandomPolicyConfig(\n",
        "        action_scaler=MinMaxActionScaler(\n",
        "            minimum=0.1,  # minimum value that policy can take\n",
        "            maximum=10,  # maximum value that policy can take\n",
        "        )\n",
        "    ).create(device=device),\n",
        "    name=\"random\",\n",
        ")\n",
        "agent.build_with_env(env)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "# interact agent with the environment\n",
        "# only 6 lines are needed for RL interaction\n",
        "for episode in range(10):\n",
        "    obs, info = env.reset()\n",
        "    done = False\n",
        "\n",
        "    while not done:\n",
        "        action = agent.predict_online(obs)\n",
        "        obs, reward, done, truncated, info = env.step(action)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "['timestep', 'remaining_budget', 'budget_consumption_rate', 'cost_per_mille_of_impression', 'winning_rate', 'reward', 'adjust_rate']\n",
            "(7,)\n"
          ]
        }
      ],
      "source": [
        "# state contains the following feedback from the environment\n",
        "print(env.obs_keys)\n",
        "print(obs.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "data": {
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\n",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# let's visualize the transition of the remaining budget and cumulative reward\n",
        "# our goal is to obtain a policy (or an agent) that maximizes the cumulative reward under budget constraints using RL.  \n",
        "obs, info = env.reset()\n",
        "done = False\n",
        "remaining_budget = [obs[1]]\n",
        "cumulative_reward = [0]\n",
        "\n",
        "while not done:\n",
        "    action = agent.predict_online(obs)\n",
        "    obs, reward, done, truncated, info = env.step(action)\n",
        "    remaining_budget.append(obs[1])\n",
        "    cumulative_reward.append(cumulative_reward[-1] + reward)\n",
        "\n",
        "# plot\n",
        "fig = plt.figure()\n",
        "ax1 = fig.add_subplot(111)\n",
        "ax1.plot(remaining_budget[:-1], label='remaining budget')\n",
        "ax2 = ax1.twinx()\n",
        "ax2.plot(cumulative_reward[:-1], label='cumulative reward', color='tab:orange')\n",
        "ax1.set_xlabel('timestep')\n",
        "ax1.set_ylabel('remainig budget')\n",
        "ax1.set_ylim(0, env.initial_budget + 100)\n",
        "ax2.set_ylabel('reward (coversion)')\n",
        "ax1.legend(loc='upper left')\n",
        "ax2.legend(loc='upper right')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see that the random policy run out the budget quickly.  \n",
        "Our goal is to derive a policy that controls the adjust rate (i.e., action) to maximize the reward within the given budget constraints.\n",
        "\n",
        "For more about the environmental configurations and customization, please refer to [examples/quickstart/rtb/rtb_synthetic_customize_env.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_customize_env.ipynb)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#### Online RL and comparison of the policies\n",
        "We now learn an online RL policy and compare it to the random policy, using on-policy policy estimation."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[ 0.1         0.16681005  0.27825594  0.46415888  0.77426368  1.29154967\n",
            "  2.15443469  3.59381366  5.9948425  10.        ]\n"
          ]
        }
      ],
      "source": [
        "# standardized environment for discrete action\n",
        "env = gym.make(\"RTBEnv-discrete-v0\")\n",
        "print(env.action_meaning)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [],
      "source": [
        "from d3rlpy.algos import DoubleDQNConfig\n",
        "from d3rlpy.models.encoders import VectorEncoderFactory\n",
        "from d3rlpy.models.q_functions import MeanQFunctionFactory\n",
        "from d3rlpy.dataset import create_fifo_replay_buffer\n",
        "from d3rlpy.algos import LinearDecayEpsilonGreedy\n",
        "\n",
        "# model\n",
        "ddqn = DoubleDQNConfig(\n",
        "    encoder_factory=VectorEncoderFactory(hidden_units=[30, 30]),\n",
        "    q_func_factory=MeanQFunctionFactory(),\n",
        "    target_update_interval=100,\n",
        ").create(device=device)\n",
        "# replay buffer\n",
        "buffer = create_fifo_replay_buffer(\n",
        "    limit=10000,\n",
        "    env=env,\n",
        ")\n",
        "# explorers\n",
        "explorer = LinearDecayEpsilonGreedy(\n",
        "    start_epsilon=1.0,\n",
        "    end_epsilon=0.3,\n",
        "    duration=1000,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# start training\n",
        "# skip if there is a pre-trained model\n",
        "ddqn.fit_online(\n",
        "    env,\n",
        "    buffer,\n",
        "    explorer=explorer,\n",
        "    eval_env=env,\n",
        "    n_steps=100000,\n",
        "    n_steps_per_epoch=1000,\n",
        "    update_start_step=1000,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [],
      "source": [
        "# save model\n",
        "ddqn.save_model(\"d3rlpy_logs/ddqn.pt\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2023-07-30 17:48:26 [warning  ] Parameters will be reinitialized.\n"
          ]
        }
      ],
      "source": [
        "# reload model\n",
        "ddqn.build_with_env(env)\n",
        "ddqn.load_model(\"d3rlpy_logs/ddqn.pt\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'episode reward')"
            ]
          },
          "execution_count": 20,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# we see that training RL policy can be risky online\n",
        "log_path = sorted(glob(\"d3rlpy_logs/DoubleDQN_online_*/evaluation.csv\"))[-1]\n",
        "df = pd.read_csv(\n",
        "    log_path, \n",
        "    usecols=[1,2],\n",
        "    names=[\"train_episode\", \"episodic_rewards\"]\n",
        ")\n",
        "plt.plot(df[\"train_episode\"], df[\"episodic_rewards\"])\n",
        "plt.title(\"Learning curve of DDQN\")\n",
        "plt.xlabel(\"episode\")\n",
        "plt.ylabel(\"episode reward\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {},
      "outputs": [],
      "source": [
        "random = DiscreteRandomPolicyConfig().create()\n",
        "random.build_with_env(env)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "fdcc05ee3fa6411d9412b250f420654b",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "1b8c7418b60249a99c995c9abb7e2178",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 400x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# compare the policy performance online\n",
        "visualize_on_policy_policy_value(\n",
        "    env=env,\n",
        "    policies=[ddqn, random],\n",
        "    policy_names=[\"ddqn\", \"random\"],\n",
        "    n_trajectories=100,\n",
        "    random_state=random_state,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "ff0061fa289047d5aee6fc0f25b99670",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "d759903b14bc4c7a846cac845799ef94",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "relative improvement: 0.28032786885245903\n"
          ]
        }
      ],
      "source": [
        "# on-policy policy value by ddqn policy\n",
        "# largely outperforms the random policy (about 20%)\n",
        "ddqn_performance = calc_on_policy_policy_value(env, ddqn, n_trajectories=100, random_state=random_state)\n",
        "random_performance = calc_on_policy_policy_value(env, random, n_trajectories=100, random_state=random_state)\n",
        "print(\"relative improvement:\", (ddqn_performance - random_performance) / random_performance)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Note that, we provide the following functions for online evaluation of the policy performance under `scope_rl.ope.online`.\n",
        "\n",
        "(Statistics)\n",
        "\n",
        "* `calc_on_policy_policy_value`\n",
        "* `calc_on_policy_policy_value_interval`\n",
        "* `calc_on_policy_variance`\n",
        "* `calc_on_policy_conditional_value_at_risk`\n",
        "* `calc_on_policy_policy_interquartile_range`\n",
        "* `calc_on_policy_cumulative_distribution_function`\n",
        "\n",
        "(Visualization)\n",
        "* `visualize_on_policy_policy_value`\n",
        "* `visualize_on_policy_policy_value_with_variance`\n",
        "* `visualize_on_policy_cumulative_distribution_function`\n",
        "* `visualize_on_policy_conditional_value_at_risk`\n",
        "* `visualize_on_policy_interquartile_range`"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 1. Synthetic Dataset Generation\n",
        "In the previous section, we see how we can interact with the environment *online* using synthetic simulator.  \n",
        "Though simulation is a good starting point for training an agent, eventually we want to deploy our agent (or policy) in the real world environment.  \n",
        "However, online interaction may have potential risk of failure in the real-world.\n",
        "Therefore, we introduce an alternative learning protocol, Offline RL, which aims at training a new policy using only offline logged dataset collected by a behavior policy $\\pi_0$:\n",
        "\n",
        "$$\\mathcal{D}_0 := \\{ \\{ s_t, a_t, s_{t+1}, r_t \\}_{t=1}^T \\}_{i=1}^n \\sim \\prod_{i=1}^n d_{s_0}(s_0) \\prod_{t=1}^T \\pi_0(a_t | s_t) p(s_{t+1} | s_t, a_t) p(r_t | s_t, a_t),$$\n",
        "\n",
        "where $s_t \\in \\mathcal{S}$ is the state observed at timestep $t$, $a_t$ is the action chosen by the behavior policy $\\pi_0$, and $r_t$ is the reward. \n",
        "\n",
        "We prepare an easy-to-use synthetic dataset generator: `SyntheticDataset` class in the dataset module.  \n",
        "By regarding the simulation environment as a hypothetical real-environment, we show how to conduct Offline RL using logged dataset in real-world application.  \n",
        "\n",
        "\n",
        "`SyntheticDataset` has the following arguments:\n",
        "- `env`: RTB environment for RL defined in the previous section.\n",
        "- `action_meaning`: Dictionary which maps discrete action index into specific actions.\n",
        "- `state_keys`: Name of the state variable at each dimension.\n",
        "- `max_episode_steps`: Maximum number of timesteps in an episode.\n",
        "- `info_keys`: Dictionary containing of key and the type of info components."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import necessary module from SCOPE-RL\n",
        "from scope_rl.policy import EpsilonGreedyHead"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {},
      "outputs": [],
      "source": [
        "behavior_policy = EpsilonGreedyHead(\n",
        "    ddqn, \n",
        "    n_actions=env.action_space.n,\n",
        "    epsilon=0.3,\n",
        "    name=\"ddqn_epsilon_0.3\",\n",
        "    random_state=random_state,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [],
      "source": [
        "# initialize dataset class\n",
        "dataset = SyntheticDataset(\n",
        "    env=env,\n",
        "    action_meaning=env.action_meaning,\n",
        "    state_keys=env.obs_keys,\n",
        "    max_episode_steps=env.step_per_episode,\n",
        "    info_keys={\n",
        "        \"search_volume\": int,\n",
        "        \"impression\": int,\n",
        "        \"click\": int,\n",
        "        \"conversion\": int,\n",
        "        \"average_bid_price\": float,\n",
        "    },\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# collect logged data by a behavior policy\n",
        "# skip if there is a preserved logged dataset\n",
        "train_logged_dataset = dataset.obtain_episodes(\n",
        "    behavior_policies=behavior_policy,\n",
        "    n_trajectories=10000, \n",
        "    obtain_info=True,\n",
        "    random_state=random_state,\n",
        ")\n",
        "test_logged_dataset = dataset.obtain_episodes(\n",
        "    behavior_policies=behavior_policy,\n",
        "    n_trajectories=10000, \n",
        "    obtain_info=True,\n",
        "    random_state=random_state + 1,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'size': 70000,\n",
              " 'n_trajectories': 10000,\n",
              " 'step_per_trajectory': 7,\n",
              " 'action_type': 'discrete',\n",
              " 'n_actions': 10,\n",
              " 'action_dim': None,\n",
              " 'action_meaning': array([ 0.1       ,  0.16681005,  0.27825594,  0.46415888,  0.77426368,\n",
              "         1.29154967,  2.15443469,  3.59381366,  5.9948425 , 10.        ]),\n",
              " 'action_keys': None,\n",
              " 'state_dim': 7,\n",
              " 'state_keys': ['timestep',\n",
              "  'remaining_budget',\n",
              "  'budget_consumption_rate',\n",
              "  'cost_per_mille_of_impression',\n",
              "  'winning_rate',\n",
              "  'reward',\n",
              "  'adjust_rate'],\n",
              " 'state': array([[0.00000000e+00, 3.00000000e+03, 8.26436129e-01, ...,\n",
              "         9.56309981e-01, 1.00000000e+00, 1.24381775e+00],\n",
              "        [1.00000000e+00, 1.91000000e+03, 3.63333333e-01, ...,\n",
              "         9.90049751e-01, 6.00000000e+00, 2.15443469e+00],\n",
              "        [2.00000000e+00, 1.91000000e+03, 0.00000000e+00, ...,\n",
              "         0.00000000e+00, 0.00000000e+00, 1.66810054e-01],\n",
              "        ...,\n",
              "        [4.00000000e+00, 5.82000000e+02, 6.52951699e-01, ...,\n",
              "         1.00000000e+00, 4.00000000e+00, 5.99484250e+00],\n",
              "        [5.00000000e+00, 3.00000000e+01, 9.48453608e-01, ...,\n",
              "         4.38423645e-01, 5.00000000e+00, 1.29154967e+00],\n",
              "        [6.00000000e+00, 3.00000000e+01, 0.00000000e+00, ...,\n",
              "         4.28015564e-02, 0.00000000e+00, 1.29154967e+00]]),\n",
              " 'action': array([6, 1, 6, ..., 5, 5, 9]),\n",
              " 'reward': array([6., 0., 1., ..., 5., 0., 0.]),\n",
              " 'done': array([0., 0., 0., ..., 0., 0., 1.]),\n",
              " 'terminal': array([0., 0., 0., ..., 0., 0., 1.]),\n",
              " 'info': {'search_volume': array([201, 205, 217, ..., 203, 257, 179]),\n",
              "  'impression': array([199,   0, 216, ...,  89,  11,   8]),\n",
              "  'click': array([21,  0, 24, ..., 12,  0,  1]),\n",
              "  'conversion': array([6, 0, 1, ..., 5, 0, 0]),\n",
              "  'average_bid_price': array([116.91044776,   8.24390244, 112.33179724, ...,  62.2364532 ,\n",
              "          60.53307393, 463.00558659])},\n",
              " 'pscore': array([0.73, 0.03, 0.73, ..., 0.73, 0.73, 0.73]),\n",
              " 'behavior_policy': 'ddqn_epsilon_0.3',\n",
              " 'dataset_id': 0}"
            ]
          },
          "execution_count": 26,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "train_logged_dataset"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [],
      "source": [
        "with open(\"logs/train_dataset_discrete_ddqn.pkl\", \"wb\") as f:\n",
        "    pickle.dump(train_logged_dataset, f)\n",
        "with open(\"logs/test_dataset_discrete_ddqn.pkl\", \"wb\") as f:\n",
        "    pickle.dump(test_logged_dataset, f)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "with open(\"logs/train_dataset_discrete_ddqn.pkl\", \"rb\") as f:\n",
        "    train_logged_dataset = pickle.load(f)\n",
        "with open(\"logs/test_dataset_discrete_ddqn.pkl\", \"rb\") as f:\n",
        "    test_logged_dataset = pickle.load(f)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "b715f82baad04b41b6ea4096a2fe9d2d",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "920cbc4ec6734758b51ae2f3c4a6338e",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "83ad531943af419b8532429867435656",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# compare the policy performance online\n",
        "# almost the same performance as greedy ddqn\n",
        "visualize_on_policy_policy_value(\n",
        "    env=env,\n",
        "    policies=[ddqn, behavior_policy, random],\n",
        "    policy_names=[\"ddqn\", \"ddqn (e=0.3)\", \"random\"],\n",
        "    n_trajectories=100,\n",
        "    random_state=random_state,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "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>adjust rate</th>\n",
              "      <th>average bid price</th>\n",
              "      <th>impression</th>\n",
              "      <th>click</th>\n",
              "      <th>conversion</th>\n",
              "      <th>winning rate</th>\n",
              "      <th>click / impression</th>\n",
              "      <th>conversion / click</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "      <td>70000.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>1.338365</td>\n",
              "      <td>75.576464</td>\n",
              "      <td>68.830157</td>\n",
              "      <td>7.317400</td>\n",
              "      <td>1.823457</td>\n",
              "      <td>0.366040</td>\n",
              "      <td>0.051487</td>\n",
              "      <td>0.110896</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>1.963969</td>\n",
              "      <td>105.805471</td>\n",
              "      <td>84.556172</td>\n",
              "      <td>9.566505</td>\n",
              "      <td>2.826144</td>\n",
              "      <td>0.411562</td>\n",
              "      <td>0.071177</td>\n",
              "      <td>0.167850</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>0.000106</td>\n",
              "      <td>4.045918</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>0.166810</td>\n",
              "      <td>8.036649</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>0.464159</td>\n",
              "      <td>36.129331</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.079218</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>0.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>1.291550</td>\n",
              "      <td>69.141414</td>\n",
              "      <td>161.000000</td>\n",
              "      <td>16.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>0.823834</td>\n",
              "      <td>0.102410</td>\n",
              "      <td>0.200000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>10.000000</td>\n",
              "      <td>546.900000</td>\n",
              "      <td>277.000000</td>\n",
              "      <td>46.000000</td>\n",
              "      <td>19.000000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.999997</td>\n",
              "      <td>0.999998</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "        adjust rate  average bid price    impression         click  \\\n",
              "count  70000.000000       70000.000000  70000.000000  70000.000000   \n",
              "mean       1.338365          75.576464     68.830157      7.317400   \n",
              "std        1.963969         105.805471     84.556172      9.566505   \n",
              "min        0.000106           4.045918      0.000000      0.000000   \n",
              "25%        0.166810           8.036649      0.000000      0.000000   \n",
              "50%        0.464159          36.129331      3.000000      0.000000   \n",
              "75%        1.291550          69.141414    161.000000     16.000000   \n",
              "max       10.000000         546.900000    277.000000     46.000000   \n",
              "\n",
              "         conversion  winning rate  click / impression  conversion / click  \n",
              "count  70000.000000  70000.000000        70000.000000        70000.000000  \n",
              "mean       1.823457      0.366040            0.051487            0.110896  \n",
              "std        2.826144      0.411562            0.071177            0.167850  \n",
              "min        0.000000      0.000000            0.000000            0.000000  \n",
              "25%        0.000000      0.000000            0.000000            0.000000  \n",
              "50%        0.000000      0.079218            0.000000            0.000000  \n",
              "75%        3.000000      0.823834            0.102410            0.200000  \n",
              "max       19.000000      1.000000            0.999997            0.999998  "
            ]
          },
          "execution_count": 29,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# let's see some statistics of the dataset\n",
        "df = pd.DataFrame()\n",
        "df['adjust rate'] = train_logged_dataset['state'][:, 6]\n",
        "df['average bid price'] = train_logged_dataset['info']['average_bid_price']\n",
        "df['impression'] = train_logged_dataset['info']['impression']\n",
        "df['click'] = train_logged_dataset['info']['click']\n",
        "df['conversion'] = train_logged_dataset['info']['conversion']\n",
        "df['winning rate'] = train_logged_dataset['state'][:, 4]\n",
        "df['click / impression'] = df['click'] / (df['impression'] + 1e-5)\n",
        "df['conversion / click'] = df['conversion'] / (df['click'] + 1e-5)\n",
        "df.describe()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "For more about the data collection and visualization, please refer to [examples/quickstart/rtb/rtb_synthetic_data_collection.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_data_collection.ipynb)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 2. Offline Reinforcement Learning\n",
        "In this section, we learn a new policy in an offline manner, without interacting with the environment.  \n",
        "We use [d3rlpy](https://github.com/takuseno/d3rlpy)'s implementation of algorithms."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import modules from d3rlpy\n",
        "from d3rlpy.dataset import MDPDataset\n",
        "from d3rlpy.algos import DiscreteCQLConfig"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {},
      "outputs": [],
      "source": [
        "offlinerl_dataset = MDPDataset(\n",
        "    observations=train_logged_dataset[\"state\"],\n",
        "    actions=train_logged_dataset[\"action\"],\n",
        "    rewards=train_logged_dataset[\"reward\"],\n",
        "    terminals=train_logged_dataset[\"done\"],\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 45,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Use Conservative Q-Learning policy\n",
        "cql = DiscreteCQLConfig(\n",
        "    encoder_factory=VectorEncoderFactory(hidden_units=[30, 30]),\n",
        "    q_func_factory=MeanQFunctionFactory(),\n",
        ").create(device=device)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "cql.fit(\n",
        "    offlinerl_dataset,\n",
        "    n_steps=10000,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 48,
      "metadata": {},
      "outputs": [],
      "source": [
        "# save model\n",
        "cql.save_model(\"d3rlpy_logs/cql_discrete.pt\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 49,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "2023-07-30 17:55:29 [warning  ] Parameters will be reinitialized.\n"
          ]
        }
      ],
      "source": [
        "# reload model\n",
        "cql.build_with_env(env)\n",
        "cql.load_model(\"d3rlpy_logs/cql_discrete.pt\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 47,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "c2403e3d858d4ce0a402244de8f48d69",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "48c9b338d75b4059b4a5b4b167c636b3",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "8886b23fef5c4a8c98c7320c649ff1e9",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "50655b64964f4a40b9b4e87b92fe1374",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "[calculate on-policy policy value]:   0%|          | 0/100 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 800x400 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# compare the policy performance online\n",
        "# not better than online policy, but achieves almost the same performance\n",
        "# meaning that we can learn a reasonable policy without interacting with the environment!\n",
        "visualize_on_policy_policy_value(\n",
        "    env=env,\n",
        "    policies=[ddqn, behavior_policy, cql, random],\n",
        "    policy_names=[\"ddqn\", \"ddqn (e=0.3)\", \"cql (offline)\", \"random\"],\n",
        "    n_trajectories=100,\n",
        "    random_state=random_state,\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 3. Off-Policy Evaluation and Evaluation of Offline RL methods\n",
        "In the previous section, we verified the performance of a learned policy via online interaction (aka A/B tests).  \n",
        "However, it could be risky because the policy may perform poorly in an online environment.  \n",
        "To tackle this issue, we aim at evaluating the performance of a policy offline, to gain some prior knowledge on how agent works in the environment.\n",
        "\n",
        "#### Estimation Target\n",
        "\n",
        "The goal to estimate the estimators' average policy performance, the *policy value*.\n",
        "\n",
        "$$ V(\\pi) := \\mathbb{E}\\left[\\sum_{t=1}^T \\gamma^{t-1} r_t \\mid \\pi \\right] $$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 50,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import ope modules from SCOPE-RL\n",
        "from scope_rl.ope import CreateOPEInput\n",
        "from scope_rl.ope import OffPolicyEvaluation as OPE\n",
        "from scope_rl.ope.discrete import DirectMethod as DM\n",
        "from scope_rl.ope.discrete import TrajectoryWiseImportanceSampling as TIS\n",
        "from scope_rl.ope.discrete import PerDecisionImportanceSampling as PDIS\n",
        "from scope_rl.ope.discrete import DoublyRobust as DR\n",
        "from scope_rl.ope.discrete import SelfNormalizedTIS as SNTIS\n",
        "from scope_rl.ope.discrete import SelfNormalizedPDIS as SNPDIS\n",
        "from scope_rl.ope.discrete import SelfNormalizedDR as SNDR"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 51,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define evaluation policies\n",
        "cql_ = EpsilonGreedyHead(base_policy=cql, n_actions=env.action_space.n, name=\"cql\", epsilon=0.0, random_state=random_state)\n",
        "ddqn_ = EpsilonGreedyHead(base_policy=ddqn, n_actions=env.action_space.n, name=\"ddqn\", epsilon=0.0, random_state=random_state)\n",
        "random_ = EpsilonGreedyHead(base_policy=random, n_actions=env.action_space.n, name=\"random\", epsilon=1.0, random_state=random_state)\n",
        "evaluation_policies = [cql_, ddqn_, random_]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {},
      "outputs": [],
      "source": [
        "# first, prepare OPE inputs\n",
        "prep = CreateOPEInput(\n",
        "    env=env,\n",
        "    model_args={\n",
        "        \"fqe\": {\n",
        "            \"encoder_factory\": VectorEncoderFactory(hidden_units=[30, 30]),\n",
        "            \"q_func_factory\": MeanQFunctionFactory(),\n",
        "            \"learning_rate\": 1e-4,\n",
        "        }\n",
        "    },\n",
        "    state_scaler=MinMaxObservationScaler(\n",
        "        minimum=test_logged_dataset[\"state\"].min(axis=0),\n",
        "        maximum=test_logged_dataset[\"state\"].max(axis=0),\n",
        "    ),\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {},
      "outputs": [],
      "source": [
        "# takes time\n",
        "input_dict = prep.obtain_whole_inputs(\n",
        "    logged_dataset=test_logged_dataset,\n",
        "    evaluation_policies=evaluation_policies,\n",
        "    require_value_prediction=True,\n",
        "    n_trajectories_on_policy_evaluation=100,\n",
        "    random_state=random_state,\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 54,
      "metadata": {},
      "outputs": [],
      "source": [
        "with open(\"logs/ope_input_dict_discrete.pkl\", \"wb\") as f:\n",
        "    pickle.dump(input_dict, f)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 55,
      "metadata": {},
      "outputs": [],
      "source": [
        "with open(\"logs/ope_input_dict_discrete.pkl\", \"rb\") as f:\n",
        "    input_dict = pickle.load(f)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 56,
      "metadata": {},
      "outputs": [],
      "source": [
        "ope = OPE(\n",
        "    logged_dataset=test_logged_dataset,\n",
        "    ope_estimators=[DM(), TIS(), PDIS(), DR(), SNTIS(), SNPDIS(), SNDR()],\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 57,
      "metadata": {},
      "outputs": [],
      "source": [
        "# performance estimation by ope\n",
        "policy_value_df_dict, policy_value_interval_df_dict = ope.summarize_off_policy_estimates(input_dict, random_state=random_state)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 58,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'cql':            policy_value  relative_policy_value\n",
              " on_policy     15.690000               1.000000\n",
              " dm            17.830122               1.136400\n",
              " tis            0.013578               0.000865\n",
              " pdis          10.765804               0.686157\n",
              " dr            14.412143               0.918556\n",
              " sntis         14.999998               0.956023\n",
              " snpdis        12.922537               0.823616\n",
              " sndr          13.945249               0.888799,\n",
              " 'ddqn':            policy_value  relative_policy_value\n",
              " on_policy     15.620000               1.000000\n",
              " dm            12.282429               0.786327\n",
              " tis            0.000000               0.000000\n",
              " pdis          12.686455               0.812193\n",
              " dr            16.830240               1.077480\n",
              " sntis          0.000000               0.000000\n",
              " snpdis        15.726926               1.006845\n",
              " sndr          17.240683               1.103757,\n",
              " 'random':            policy_value  relative_policy_value\n",
              " on_policy     12.570000               1.000000\n",
              " dm            12.010621               0.955499\n",
              " tis            4.857552               0.386440\n",
              " pdis          10.718063               0.852670\n",
              " dr            12.698753               1.010243\n",
              " sntis         11.730960               0.933251\n",
              " snpdis        11.914398               0.947844\n",
              " sndr          12.211570               0.971485}"
            ]
          },
          "execution_count": 58,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# estimated policy performance\n",
        "policy_value_df_dict"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 59,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'cql':                 mean  95.0% CI (lower)  95.0% CI (upper)\n",
              " on_policy  15.667900         14.840000         16.395750\n",
              " dm         17.830228         17.827503         17.833102\n",
              " tis         0.012627          0.000000          0.040734\n",
              " pdis       10.759151          9.630496         12.053074\n",
              " dr         14.214093         11.320457         16.318983\n",
              " sntis      13.949998          0.000000         44.999995\n",
              " snpdis     12.938436         10.765956         15.131035\n",
              " sndr       13.666319          9.728964         16.688969,\n",
              " 'ddqn':                 mean  95.0% CI (lower)  95.0% CI (upper)\n",
              " on_policy  15.569300         14.924750         16.220500\n",
              " dm         12.282437         12.281959         12.282890\n",
              " tis         0.000000          0.000000          0.000000\n",
              " pdis       12.877326          8.401726         18.559698\n",
              " dr         16.870486         15.428369         19.329362\n",
              " sntis       0.000000          0.000000          0.000000\n",
              " snpdis     16.036555          8.978773         24.831085\n",
              " sndr       17.307459         15.120284         21.308425,\n",
              " 'random':                 mean  95.0% CI (lower)  95.0% CI (upper)\n",
              " on_policy  12.497200         11.637000         13.475750\n",
              " dm         12.010628         12.010037         12.011211\n",
              " tis         5.012292          3.394177          6.685585\n",
              " pdis       10.877359          9.737495         12.146517\n",
              " dr         12.709577         11.850718         13.405091\n",
              " sntis      12.104656          8.196917         16.145648\n",
              " snpdis     12.124885         10.699847         13.801222\n",
              " sndr       12.243357         11.287623         13.216624}"
            ]
          },
          "execution_count": 59,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# estimated confidence intervals of the policy performance\n",
        "policy_value_interval_df_dict"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## 4. Evaluation of OPE methods\n",
        "Now, we evaluate how well the ope estimators estimated the policy value."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 60,
      "metadata": {},
      "outputs": [
        {
          "data": {
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            "text/plain": [
              "<Figure size 1400x1200 with 3 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# we can visualize and compare the result\n",
        "# it seems that DM tends to have a bias though the variance is quite small, \n",
        "# while (trajectory-wise) importance sampling estimators have a smaller bias with a larger variance.\n",
        "# self-normalized estimators also works well\n",
        "ope.visualize_off_policy_estimates(input_dict, random_state=random_state, sharey=False)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 61,
      "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>cql</th>\n",
              "      <th>ddqn</th>\n",
              "      <th>random</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>dm</th>\n",
              "      <td>4.580120</td>\n",
              "      <td>11.139377</td>\n",
              "      <td>0.312904</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>tis</th>\n",
              "      <td>245.750211</td>\n",
              "      <td>243.984400</td>\n",
              "      <td>59.481848</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>pdis</th>\n",
              "      <td>24.247704</td>\n",
              "      <td>8.605686</td>\n",
              "      <td>3.429670</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>dr</th>\n",
              "      <td>1.632919</td>\n",
              "      <td>1.464681</td>\n",
              "      <td>0.016577</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>sntis</th>\n",
              "      <td>0.476102</td>\n",
              "      <td>243.984400</td>\n",
              "      <td>0.703988</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>snpdis</th>\n",
              "      <td>7.658852</td>\n",
              "      <td>0.011433</td>\n",
              "      <td>0.429814</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>sndr</th>\n",
              "      <td>3.044155</td>\n",
              "      <td>2.626613</td>\n",
              "      <td>0.128472</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "               cql        ddqn     random\n",
              "dm        4.580120   11.139377   0.312904\n",
              "tis     245.750211  243.984400  59.481848\n",
              "pdis     24.247704    8.605686   3.429670\n",
              "dr        1.632919    1.464681   0.016577\n",
              "sntis     0.476102  243.984400   0.703988\n",
              "snpdis    7.658852    0.011433   0.429814\n",
              "sndr      3.044155    2.626613   0.128472"
            ]
          },
          "execution_count": 61,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# squared-error (se) measures the estimation accuracy of OPE\n",
        "eval_metric_ope_df = ope.evaluate_performance_of_ope_estimators(\n",
        "    input_dict, \n",
        "    metric=\"se\",\n",
        "    return_by_dataframe=True,\n",
        ")\n",
        "eval_metric_ope_df"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "For more advanced topics in OPE (e.g., cumulative distribution function estimation) and OPS, please refer to [examples/quickstart/rtb/rtb_synthetic_discrete_advanced.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_discrete_advanced.ipynb). \n",
        "\n",
        "For more advanced OPE estimators (e.g., state(-action) marginal estimators and double reinforcement learning), please refer to [examples/quickstart/rtb/rtb_synthetic_discrete_zoo.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_discrete_zoo.ipynb). \n",
        "\n",
        "For the examples in the continuous action space, please refer to [examples/quickstart/rtb/rtb_synthetic_continuous_basic.ipynb](https://github.com/hakuhodo-technologies/scope-rl/blob/main/examples/quickstart/rtb/rtb_synthetic_continuous_basic.ipynb)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Reference\n",
        "\n",
        "- Yuta Saito, Shunsuke Aihara, Megumi Matsutani, and Yusuke Narita. \\\n",
        "\"Open Bandit Dataset and Pipeline: Towards Realistic and Reproducible Off-Policy Evaluation.\", 2021.\n",
        "\n",
        "- Takuma Seno and Michita Imai. \\\n",
        "\"d3rlpy: An Offline Deep Reinforcement Library.\", 2021.\n",
        "\n",
        "- Sergey Levine, Aviral Kumar, George Tucker, and Justin Fu. \\\n",
        "\"Offline Reinforcement Learning: Tutorial, Review, and Perspectives on Open Problems.\" 2020.\n",
        "\n",
        "- Aviral Kumar, Aurick Zhou, George Tucker, and Sergey Levine. \\\n",
        "\"Conservative Q-Learning for Offline Reinforcement Learning.\", 2020.\n",
        "\n",
        "- Nathan Kallus and Masatoshi Uehara. \\\n",
        "\"Intrinsically Efficient, Stable, and Bounded Off-Policy Evaluation for Reinforcement Learning.\", 2019.\n",
        "\n",
        "- Hoang Le, Cameron Voloshin, and Yisong Yue. \\\n",
        "\"Batch Policy Learning under Constraints.\", 2019.\n",
        "\n",
        "- Di Wu, Xiujun Chen, Xun Yang, Hao Wang, Qing Tan, Xiaoxun Zhang, Jian Xu, and Kun Gai. \\\n",
        "\"Budget Constrained Bidding by Model-free Reinforcement Learning in Display Advertising.\", 2018.\n",
        "\n",
        "- Jun Zhao, Guang Qiu, Ziyu Guan, Wei Zhao, and Xiaofei He. \\\n",
        "\"Deep Reinforcement Learning for Sponsored Search Real-time Bidding.\", 2018.\n",
        "\n",
        "- Nan Jiang and Lihong Li. \\\n",
        "\"Doubly Robust Off-policy Value Evaluation for Reinforcement Learning.\", 2016.\n",
        "\n",
        "- Philip S. Thomas and Emma Brunskill. \\\n",
        "\"Data-Efficient Off-Policy Policy Evaluation for Reinforcement Learning.\", 2016.\n",
        "\n",
        "- Greg Brockman, Vicki Cheung, Ludwig Pettersson, Jonas Schneider, John Schulman, Jie Tang, and Wojciech Zaremba. \\\n",
        "\"OpenAI Gym.\", 2016.\n",
        "\n",
        "- Adith Swaminathan and Thorsten Joachims. \\\n",
        "\"The Self-Normalized Estimator for Counterfactual Learning.\", 2015.\n",
        "\n",
        "- Hado van Hasselt, Arthur Guez, and David Silver. \\\n",
        "\"Deep Reinforcement Learning with Double Q-learning.\", 2015.\n",
        "\n",
        "- Miroslav Dudík, Dumitru Erhan, John Langford, and Lihong Li. \\\n",
        "\"Doubly Robust Policy Evaluation and Optimization.\", 2014.\n",
        "\n",
        "- Alex Strehl, John Langford, Sham Kakade, and Lihong Li. \\\n",
        "\"Learning from Logged Implicit Exploration Data.\", 2010.\n",
        "\n",
        "- Alina Beygelzimer and John Langford. \\\n",
        "\"The Offset Tree for Learning with Partial Labels.\", 2009.\n",
        "\n",
        "- Doina Precup, Richard S. Sutton, and Satinder P. Singh. \\\n",
        "\"Eligibility Traces for Off-Policy Policy Evaluation.\", 2000."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
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      "source": []
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