{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bandits - part 2\n", "\n", "In the exercise, we will investigate in more details the properties of the bandit algorithms implemented last time and investigate reinforcement comparison.\n", "\n", "**Q:** Start by copying all class definitions of the last exercise (Bandit, Greedy, $\\epsilon$-Greedy, softmax) and re-run the experiments with correct values for the parameters in a single cell. We will ignore exploration scheduling (although we should not)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "rng = np.random.default_rng()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Bandit:\n", " \"\"\"\n", " n-armed bandit.\n", " \"\"\"\n", " def __init__(self, nb_actions, mean=0.0, std_Q=1.0, std_r=1.0):\n", " \"\"\"\n", " :param nb_actions: number of arms.\n", " :param mean: mean of the normal distribution for $Q^*$.\n", " :param std_Q: standard deviation of the normal distribution for $Q^*$.\n", " :param std_r: standard deviation of the normal distribution for the sampled rewards.\n", " \"\"\"\n", " # Store parameters\n", " self.nb_actions = nb_actions\n", " self.mean = mean\n", " self.std_Q = std_Q\n", " self.std_r = std_r\n", " \n", " # Initialize the true Q-values\n", " self.Q_star = rng.normal(self.mean, self.std_Q, self.nb_actions)\n", " \n", " # Optimal action\n", " self.a_star = self.Q_star.argmax()\n", " \n", " def step(self, action):\n", " \"\"\"\n", " Sampled a single reward from the bandit.\n", " \n", " :param action: the selected action.\n", " :return: a reward.\n", " \"\"\"\n", " return float(rng.normal(self.Q_star[action], self.std_r, 1))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "class GreedyAgent:\n", " def __init__(self, bandit, alpha, Q_init=0.0):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " \n", " # Estimated Q-values\n", " self.Q_t = Q_init * np.ones(self.bandit.nb_actions)\n", " \n", " def act(self):\n", " \n", " action = rng.choice(np.where(self.Q_t == self.Q_t.max())[0])\n", " return action\n", " \n", " def update(self, action, reward):\n", " \n", " self.Q_t[action] += self.alpha * (reward - self.Q_t[action])\n", " \n", " def train(self, nb_steps):\n", " \n", " rewards = []\n", " optimal = []\n", "\n", " for step in range(1000):\n", "\n", " # Select the action \n", " action = self.act()\n", "\n", " # Sample the reward\n", " reward = self.bandit.step(action)\n", "\n", " # Store the received reward\n", " rewards.append(reward)\n", " \n", " # Optimal action\n", " if action == self.bandit.a_star:\n", " optimal.append(1.0)\n", " else:\n", " optimal.append(0.0)\n", "\n", " # Update the Q-value estimate of the action\n", " self.update(action, reward)\n", " \n", " return np.array(rewards), np.array(optimal)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "class EpsilonGreedyAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, epsilon, Q_init=0.0):\n", " \n", " self.epsilon = epsilon\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha, Q_init)\n", " \n", " def act(self):\n", " \n", " action = rng.choice(np.where(self.Q_t == self.Q_t.max())[0])\n", " \n", " if rng.random() < self.epsilon:\n", " action = rng.choice(self.actions[self.actions != action])\n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class SoftmaxAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, tau, Q_init=0.0):\n", " self.tau = tau\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha, Q_init)\n", " \n", " def act(self):\n", " \n", " logit = np.exp((self.Q_t - self.Q_t.max())/self.tau)\n", " \n", " proba_softmax = logit / np.sum(logit)\n", " \n", " action = rng.choice(self.actions, p=proba_softmax) \n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 0.1\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reward distribution\n", "\n", "We are now going to vary the reward distributions and investigate whether the experimental results we had previously when the true Q-values are in $\\mathcal{N}(0, 1)$ and the rewards have a variance of 1 still hold." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Let's now change the distribution of true Q-values from $\\mathcal{N}(0, 1)$ to $\\mathcal{N}(10, 10)$ when creating the bandits and re-run the algorithms. What happens and why? Modify the values of `epsilon` and `tau` to try to get a better behavior." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 3.0\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions, mean=10.0, std_Q=10.0, std_r=1.0)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Greedy does not work anymore and stays at chance level. The first action it samples will provide a non-zero reward, so its estimated Q-value becomes positive (initial estimate of 0) and it will keep selecting this non-optimal greedy action all along.\n", "\n", "$\\epsilon$-greedy still works quite well (although a bit slower as the estimates must go from 0 to 10), even with its default value of 0.1.\n", "\n", "Softmax does not work unless you increase the temperature to 3 or so. The correct value of `tau` depends on the scaling of the Q-values, so it has to be adapted to every new problem, contrary to $\\epsilon$-greedy. But with the correct value of `tau`, you get a good solution much earlier." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimistic initialization\n", "\n", "The initial estimates of 0 are now very **pessimistic** compared to the average reward you can get (between 10 and 20). This was not the case in the original setup.\n", "\n", "**Q:** Modify the classes so that they accept a parameter `Q_init` allowing to intialize the estimates `Q_t` to something different from 0. Change the initial value of the estimates to 10 for each algorithm. What happens? Conclude on the importance of reward scaling." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 3.0\n", "\n", "# Optimistic initialization\n", "Q_init = 10.0\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions, mean=10.0, std_Q=10.0, std_r=1.0)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Now we are back to quite the same results as before (greedy might still be worse, but not at chance level anymore). This shows the importance of **reward scaling**: the amplitude of the rewards influences a lot the success of the different methods ($\\epsilon$-greedy is more robust). This mean you need to know the mean expected reward in advance, but you are not supposed to know that as you have not sampled anything at the beginning..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's now use **optimistic initialization**, i.e. initialize the estimates to a much higher value than what is realistic.\n", "\n", "**Q:** Implement optimistic initialization by initializing the estimates of all three algorithms to 25. What happens?" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 3.0\n", "\n", "# Optimistic initialization\n", "Q_init = 25.0\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions, mean=10.0, std_Q=10.0, std_r=1.0)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", "\n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** With optimistic initialization, greedy action selection becomes the most efficient method: exploration is ensured by the fact that all actions be be executed at some point, as they can only be disappointing. The received rewards are always lower than the expectation at the beginning, so there is no need for additional exploration mechanisms. But it necessitates to know in advance what the maximal reward is... Note that reducing the exploration parameters help $\\epsilon$-greedy and softmax behave like greedy." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reinforcement comparison\n", "\n", "The problem with the previous **value-based** methods is that the Q-value estimates depend on the absolute magnitude of the rewards (by definition). The hyperparameters of the learning algorithms (learning rate, exploration, initial values) will therefore be very different depending on the scaling of the rewards (between 0 and 1, between -100 and 100, etc).\n", "\n", "A way to get rid of this dependency is to introduce **preferences** $p_t(a)$ for each action instead of the estimated Q-values. Preferences should follow the Q-values: an action with a high Q-value should have a high Q-value and vice versa, but we do not care about its exact scaling.\n", "\n", "In **reinforcement comparison**, we introduce a baseline $\\tilde{r}_t$ which is the average received reward **regardless the action**, i.e. there is a single value for the whole problem. This average reward is simply updated after each action with a moving average of the received rewards:\n", "\n", "$$\\tilde{r}_{t+1} = \\tilde{r}_{t} + \\alpha \\, (r_t - \\tilde{r}_{t})$$\n", "\n", "The average reward is used to update the preference for the action that was just executed:\n", "\n", "$$p_{t+1}(a_t) = p_{t}(a_t) + \\beta \\, (r_t - \\tilde{r}_{t})$$\n", "\n", "If the action lead to more reward than usual, its preference should be increased (good surprise). If the action lead to less reward than usual, its preference should be decreased (bad surprise).\n", "\n", "Action selection is simply a softmax over the preferences, without the temperature parameter (as we do not care about the scaling):\n", "\n", "$$\n", " \\pi (a) = \\frac{\\exp p_t(a)}{ \\sum_b \\exp p_t(b)}\n", "$$ \n", "\n", "**Q:** Implement reinforcement comparison (with $\\alpha=\\beta=0.1$) and compare it to the other methods on the default settings. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "class ReinforcementComparisonAgent (GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, beta, r_init=0.0):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " self.beta = beta\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Preferences\n", " self.p_t = np.zeros(self.bandit.nb_actions)\n", " \n", " # Mean reward\n", " self.r_mean = r_init\n", " \n", " \n", " def act(self):\n", " \n", " logit = np.exp((self.p_t - self.p_t.max()))\n", " \n", " proba_softmax = logit / np.sum(logit)\n", " \n", " action = rng.choice(self.actions, p=proba_softmax) \n", " \n", " return action\n", " \n", " def update(self, action, reward):\n", " \n", " self.p_t[action] += self.beta * (reward - self.r_mean)\n", " \n", " self.r_mean += self.alpha * (reward - self.r_mean)\n", " " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "beta = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 0.1\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "rewards_rc = []\n", "optimal_rc = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", "\n", " # Reinforcement comparison\n", " agent = ReinforcementComparisonAgent(bandit, alpha, beta)\n", " rewards, optimal = agent.train(1000) \n", " rewards_rc.append(rewards)\n", " optimal_rc.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", "rewards_rc = np.mean(rewards_rc, axis=0)\n", "optimal_rc = np.mean(optimal_rc, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.plot(rewards_rc, label=\"Reinforcement comparison\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.plot(optimal_rc, label=\"Reinforcement comparison\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** RC is slower at the beginning, but ends up being more optimal. We never estimate the Q-values, but we do not care about them, we only want to perform the correct actions. We also get rid of the temperature parameter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Compare all methods with optimistic initialization. The true Q-values come from $\\mathcal{N}(10, 10)$, the estimated Q-values are initialized to 20 for greedy, $\\epsilon$-greedy and softmax, and the average reward is initialized to 20 for RC (the preferences are initialized at 0). " ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "beta = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 1.0\n", "\n", "# Optimistic initialization\n", "Q_init = 25.0\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "rewards_rc = []\n", "optimal_rc = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions, mean=10.0, std_Q=10.0, std_r=1.0)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", "\n", " # Reinforcement comparison\n", " agent = ReinforcementComparisonAgent(bandit, alpha, beta, Q_init)\n", " rewards, optimal = agent.train(1000) \n", " rewards_rc.append(rewards)\n", " optimal_rc.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", "rewards_rc = np.mean(rewards_rc, axis=0)\n", "optimal_rc = np.mean(optimal_rc, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.plot(rewards_rc, label=\"Reinforcement comparison\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.plot(optimal_rc, label=\"Reinforcement comparison\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bonus questions\n", "\n", "At this point, you should have understood the main concepts of bandit algorithm. If you have time and interest, you can also implement Gradient Bandit (reinforcement comparison where all actions are updated, not just the one which was executed) and UCB (upper-bound confidence). " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "class GradientBanditAgent (ReinforcementComparisonAgent):\n", " \n", " def __init__(self, bandit, alpha, beta, r_init=0.0):\n", " \n", " # Call the constructor of ReinforcementComparisonAgent\n", " super().__init__(bandit, alpha, beta, r_init)\n", " \n", " \n", " def act(self):\n", " \n", " logit = np.exp((self.p_t - self.p_t.max()))\n", " \n", " self.pi = logit / np.sum(logit)\n", " \n", " action = rng.choice(self.actions, p=self.pi) \n", " \n", " return action\n", " \n", " def update(self, action, reward):\n", " \n", " for a in self.actions:\n", " if a == action:\n", " self.p_t[a] += self.beta * (reward - self.r_mean) * (1 - self.pi[a])\n", " else:\n", " self.p_t[a] -= self.beta * (reward - self.r_mean) * self.pi[a]\n", " \n", " self.r_mean += self.alpha * (reward - self.r_mean)\n", " " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "class UCBAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, c, Q_init=0.0):\n", " \n", " self.c = c\n", " \n", " # List of actions\n", " self.actions = np.arange(bandit.nb_actions)\n", " \n", " # Visitation count initialized to 1 to avoid the division by 0\n", " self.N = np.ones(bandit.nb_actions)\n", " \n", " # Time\n", " self.t = 1\n", " \n", " # Call the constructor of GreedyAgent\n", " super().__init__(bandit, alpha, Q_init)\n", " \n", " def act(self):\n", " # Exploration bonus\n", " Q = self.Q_t + self.c * np.sqrt(np.log(self.t)/self.N)\n", " \n", " # Greedy action selection\n", " action = rng.choice(np.where(Q == Q.max())[0])\n", " \n", " # Time passes\n", " self.N[action] += 1\n", " self.t += 1\n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "beta = 0.1\n", "\n", "# epsilon for exploration\n", "epsilon = 0.1\n", "\n", "# Tau for exploration\n", "tau = 0.1\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "rewards_rc = []\n", "optimal_rc = []\n", "\n", "rewards_gb = []\n", "optimal_gb = []\n", "\n", "rewards_ucb = []\n", "optimal_ucb = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Greedy\n", " agent = GreedyAgent(bandit, alpha)\n", " rewards, optimal = agent.train(1000) \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", "\n", " # Greedy\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", " rewards, optimal = agent.train(1000) \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", "\n", " # Softmax\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", " rewards, optimal = agent.train(1000) \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", "\n", " # Reinforcement comparison\n", " agent = ReinforcementComparisonAgent(bandit, alpha, beta)\n", " rewards, optimal = agent.train(1000) \n", " rewards_rc.append(rewards)\n", " optimal_rc.append(optimal)\n", "\n", " # Gradient Bandit\n", " agent = GradientBanditAgent(bandit, alpha, beta)\n", " rewards, optimal = agent.train(1000) \n", " rewards_gb.append(rewards)\n", " optimal_gb.append(optimal)\n", "\n", " # UCB\n", " agent = UCBAgent(bandit, alpha, c=0.5)\n", " rewards, optimal = agent.train(1000) \n", " rewards_ucb.append(rewards)\n", " optimal_ucb.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, axis=0)\n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, axis=0)\n", "rewards_softmax = np.mean(rewards_softmax, axis=0)\n", "optimal_softmax = np.mean(optimal_softmax, axis=0)\n", "rewards_rc = np.mean(rewards_rc, axis=0)\n", "optimal_rc = np.mean(optimal_rc, axis=0)\n", "rewards_gb = np.mean(rewards_gb, axis=0)\n", "optimal_gb = np.mean(optimal_gb, axis=0)\n", "rewards_ucb = np.mean(rewards_ucb, axis=0)\n", "optimal_ucb = np.mean(optimal_ucb, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(12, 5))\n", "plt.subplot(121)\n", "plt.plot(rewards_greedy, label=\"Greedy\")\n", "plt.plot(rewards_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(rewards_softmax, label=\"Softmax\")\n", "plt.plot(rewards_rc, label=\"Reinforcement comparison\")\n", "plt.plot(rewards_gb, label=\"Gradient bandit\")\n", "plt.plot(rewards_ucb, label=\"UCB\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy, label=\"Greedy\")\n", "plt.plot(optimal_egreedy, label=\"$\\epsilon$-Greedy\")\n", "plt.plot(optimal_softmax, label=\"Softmax\")\n", "plt.plot(optimal_rc, label=\"Reinforcement comparison\")\n", "plt.plot(optimal_gb, label=\"Gradient bandit\")\n", "plt.plot(optimal_ucb, label=\"UCB\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.12 ('base')", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "vscode": { "interpreter": { "hash": "3d24234067c217f49dc985cbc60012ce72928059d528f330ba9cb23ce737906d" } } }, "nbformat": 4, "nbformat_minor": 4 }