{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Bandits" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this part, we will investigate the properties of the action selection schemes seen in the lecture and compare their properties:\n", "\n", "1. greedy action selection\n", "2. $\\epsilon$-greedy action selection\n", "3. softmax action selection\n", "\n", "Let's re-use the definitions of the last exercise:" ] }, { "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": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "nb_actions = 5\n", "bandit = Bandit(nb_actions)\n", "\n", "all_rewards = []\n", "for t in range(1000):\n", " rewards = []\n", " for a in range(nb_actions):\n", " rewards.append(bandit.step(a))\n", " all_rewards.append(rewards)\n", " \n", "mean_reward = np.mean(all_rewards, axis=0)\n", "\n", "plt.figure(figsize=(20, 6))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), mean_reward)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.bar(range(nb_actions), np.abs(bandit.Q_star - mean_reward))\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"Absolute error\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Greedy action selection\n", "\n", "In **greedy action selection**, we systematically chose the action with the highest estimated Q-value at each play (or randomly when there are ties):\n", "\n", "$$a_t = \\text{argmax}_a Q_t(a)$$\n", "\n", "We maintain estimates $Q_t$ of the action values (initialized to 0) using the online formula:\n", "\n", "$$Q_{t+1}(a_t) = Q_t(a_t) + \\alpha \\, (r_{t} - Q_t(a_t))$$\n", "\n", "when receiving the sampled reward $r_t$ after taking the action $a_t$. The learning rate $\\alpha$ can be set to 0.1 at first.\n", "\n", "The algorithm simply alternates between these two steps for 1000 plays (or steps): take an action, update its Q-value. \n", "\n", "**Q:** Implement the greedy algorithm on the 5-armed bandit.\n", "\n", "Your algorithm will look like this:\n", "\n", "* Create a 5-armed bandit (mean of zero, variance of 1).\n", "* Initialize the estimated Q-values to 0 with an array of the same size as the bandit.\n", "* **for** 1000 plays:\n", " * Select the greedy action $a_t^*$ using the current estimates.\n", " * Sample a reward from $\\mathcal{N}(Q^*(a_t^*), 1)$.\n", " * Update the estimated Q-value of the action taken.\n", " \n", "Additionally, you will store the received rewards at each step in an initially empty list or a numpy array of the correct size and plot it in the end. You will also plot the true Q-values and the estimated Q-values at the end of the 1000 plays. \n", "\n", "*Tip:* to implement the argmax, do not rely on `np.argmax()`. If there are ties in the array, for example at the beginning:\n", "\n", "```python\n", "x = np.array([0, 0, 0, 0, 0])\n", "```\n", "\n", "`x.argmax()` will return you the **first occurrence** of the maximum 0.0 of the array. In this case it will be the index 0, so you will always select the action 0 first. \n", "\n", "It is much more efficient to retrieve the indices of **all** maxima and randomly select one of them:\n", "\n", "```python\n", "a = rng.choice(np.where(x == x.max())[0])\n", "```\n", "\n", "`np.where(x == x.max())` returns a list of indices where `x` is maximum. `rng.choice()` randomly selects one of them." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "Q_t = np.zeros(nb_actions)\n", "\n", "# Store the rewards after each step\n", "rewards = []\n", "\n", "# For 1000 plays\n", "for step in range(1000):\n", " \n", " # Select the action greedily w.r.t Q_t\n", " action = rng.choice(np.where(Q_t == Q_t.max())[0])\n", " \n", " # Sample the reward\n", " reward = bandit.step(action)\n", " \n", " # Store the received reward\n", " rewards.append(reward)\n", " \n", " # Update the Q-value estimate of the action\n", " Q_t[action] += alpha * (reward - Q_t[action])\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(16, 5))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Re-run your algorithm multiple times with different values of $Q^*$ (simply recreate the `Bandit`) and observe:\n", "\n", "1. How much reward you get.\n", "2. How your estimated Q-values in the end differ from the true Q-values.\n", "3. Whether greedy action action selection finds the optimal action or not." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** The plot with rewards is very noisy, you do not really see whether you have learned something because of the randomness of the rewards. More often than not, greedy action selection finds the optimal action, or least a not-that-bad action. The estimates `Q_t` have however nothing to see with the true Q-values, as you quickly select the same action and never update the other ones. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before going further, let's turn the agent into a class for better reusability. \n", "\n", "**Q:** Create a `GreedyAgent` class taking the bandit as an argument as well as the learning rate `alpha=0.1`:\n", "\n", "```python\n", "bandit = Bandit(nb_actions)\n", "\n", "agent = GreedyAgent(bandit, alpha=0.1)\n", "```\n", "\n", "The constructor should initialize the array of estimated Q-values `Q_t` and store it as an attribute.\n", "\n", "Define a method `act(self)` that returns the index of the greedy action based on the current estimates, as well as a method `update(self, action, reward)` that allows to update the estimated Q-value of the action given the obtained reward. Define also a `train(self, nb_steps)` method that implements the complete training process for `nb_steps=1000` plays and returns the list of obtained rewards.\n", "\n", "```python\n", "class GreedyAgent:\n", " def __init__(self, bandit, alpha):\n", " # TODO\n", " \n", " def act(self): \n", " action = # TODO\n", " return action\n", " \n", " def update(self, action, reward):\n", " # TODO\n", " \n", " def train(self, nb_steps):\n", " # TODO\n", "```\n", "\n", "Re-run the experiment using this Greedy agent." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "class GreedyAgent:\n", " \n", " def __init__(self, bandit, alpha):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " \n", " # Estimated Q-values\n", " self.Q_t = np.zeros(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", " \n", " def train(self, nb_steps):\n", " \n", " rewards = []\n", "\n", " for step in range(nb_steps):\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", " # Update the Q-value estimate of the action\n", " self.update(action, reward)\n", " \n", " return np.array(rewards)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "agent = GreedyAgent(bandit, alpha)\n", "\n", "# Train for 1000 plays\n", "rewards = agent.train(1000)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(16, 5))\n", "plt.subplot(131)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(132)\n", "plt.bar(range(nb_actions), agent.Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(133)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Modify the `train()` method so that it also returns a list of binary values (0 and 1) indicating for each play whether the agent chose the optimal action. Plot this list and observe the lack of exploration.\n", "\n", "*Hint:* the index of the optimal action is already stored in the bandit: `bandit.a_star`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "class GreedyAgent:\n", " def __init__(self, bandit, alpha):\n", " \n", " self.bandit = bandit\n", " self.alpha = alpha\n", " \n", " # Estimated Q-values\n", " self.Q_t = np.zeros(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": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Bandit\n", "bandit = Bandit(nb_actions)\n", "\n", "# Estimates\n", "agent = GreedyAgent(bandit, alpha)\n", "\n", "# Store the rewards after each step\n", "rewards, optimal = agent.train(1000)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(15, 10))\n", "plt.subplot(221)\n", "plt.bar(range(nb_actions), bandit.Q_star)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q^*(a)$\")\n", "plt.subplot(222)\n", "plt.bar(range(nb_actions), agent.Q_t)\n", "plt.xlabel(\"Actions\")\n", "plt.ylabel(\"$Q_t(a)$\")\n", "plt.subplot(223)\n", "plt.plot(rewards)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(224)\n", "plt.plot(optimal)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The evolution of the received rewards and optimal actions does not give a clear indication of the successful learning, as it is strongly dependent on the true Q-values. To truly estimate the performance of the algorithm, we have to average these results over many runs, e.g. 200.\n", "\n", "**Q:** Run the learning procedure 200 times (new bandit and agent every time) and average the results. Give a unique name to these arrays (e.g. `rewards_greedy` and `optimal_greedy`) as we will do comparisons later. Compare the results with the lecture, where a 10-armed bandit was used." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "rewards_greedy = []\n", "optimal_greedy = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = GreedyAgent(bandit, alpha)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_greedy.append(rewards)\n", " optimal_greedy.append(optimal)\n", " \n", "rewards_greedy = np.mean(rewards_greedy, axis=0)\n", "optimal_greedy = np.mean(optimal_greedy, 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)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(122)\n", "plt.plot(optimal_greedy)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** the greedy agent selects the optimal action around 80% of the time, vs. 50% for the 10-armed bandits. It is really not bad knowing that it starts at chance level (20% for 5 actions)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $\\epsilon$-greedy action selection\n", "\n", "The main drawback of greedy action selection is that it does not explore: as soon as it finds an action better than the others (with a sufficiently positive true Q-value, i.e. where the sampled rewards are mostly positive), it will keep selecting that action and avoid exploring the other options. \n", "\n", "The estimated Q-value of the selected action will end up being quite correct, but those of the other actions will stay at 0.\n", "\n", "In $\\epsilon$-greedy action selection, the greedy action $a_t^*$ (with the highest estimated Q-value) will be selected with a probability $1-\\epsilon$, the others with a probability of $\\epsilon$ altogether. \n", "\n", "$$\n", " \\pi(a) = \\begin{cases} 1 - \\epsilon \\; \\text{if} \\; a = a_t^* \\\\ \\frac{\\epsilon}{|\\mathcal{A}| - 1} \\; \\text{otherwise.} \\end{cases}\n", "$$\n", "\n", "If you have $|\\mathcal{A}| = 5$ actions, the four non-greedy actions will be selected with a probability of $\\frac{\\epsilon}{4}$.\n", "\n", "**Q:** Create a `EpsilonGreedyAgent` (possibly inheriting from `GreedyAgent` to reuse code) to implement $\\epsilon$-greedy action selection (with $\\epsilon=0.1$ at first). Do not overwrite the arrays previously calculated (mean reward and optimal actions), as you will want to compare the two methods in a single plot.\n", "\n", "To implement $\\epsilon-$greedy, you need to:\n", "\n", "1. Select the greedy action $a = a^*_t$.\n", "2. Draw a random number between 0 and 1 (`rng.random()`).\n", "3. If this number is smaller than $\\epsilon$, you need to select another action randomly in the remaining ones (`rng.choice()`).\n", "4. Otherwise, keep the greedy action." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "class EpsilonGreedyAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, epsilon):\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)\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": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "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", "rewards_egreedy = []\n", "optimal_egreedy = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = EpsilonGreedyAgent(bandit, alpha, epsilon)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_egreedy.append(rewards)\n", " optimal_egreedy.append(optimal)\n", " \n", "rewards_egreedy = np.mean(rewards_egreedy, axis=0)\n", "optimal_egreedy = np.mean(optimal_egreedy, 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.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.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Compare the properties of greedy and $\\epsilon$-greedy (speed, optimality, etc). Vary the value of the parameter $\\epsilon$ (0.0001 until 0.5) and conclude." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Depending on the value of $\\epsilon$, $\\epsilon$-greedy can perform better that greedy in the end, but will necessitate more time at the beginning. If there is too much exploration, $\\epsilon$-greedy can be even worse than greedy. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Softmax action selection\n", "\n", "To avoid exploring actions which are clearly not optimal, another useful algorithm is **softmax action selection**. In this scheme, the estimated Q-values are ransformed into a probability distribution using the softmax opertion:\n", "\n", "$$\n", " \\pi(a) = \\frac{\\exp \\frac{Q_t(a)}{\\tau}}{ \\sum_b \\exp \\frac{Q_t(b)}{\\tau}}\n", "$$ \n", "\n", "For each action, the term $\\exp \\frac{Q_t(a)}{\\tau}$ is proportional to $Q_t(a)$ but made positive. These terms are then normalized by the denominator in order to obtain a sum of 1, i.e. they are the parameters of a discrete probability distribution. The temperature $\\tau$ controls the level of exploration just as $\\epsilon$ for $\\epsilon$-greedy.\n", "\n", "In practice, $\\exp \\frac{Q_t(a)}{\\tau}$ can be very huge if the Q-values are high or the temperature is small, creating numerical instability (NaN). It is much more stable to substract the maximal Q-value from all Q-values before applying the softmax:\n", "\n", "$$\n", " \\pi(a) = \\frac{\\exp \\displaystyle\\frac{Q_t(a) - \\max_a Q_t(a)}{\\tau}}{ \\sum_b \\exp \\displaystyle\\frac{Q_t(b) - \\max_b Q_t(b)}{\\tau}}\n", "$$ \n", "\n", "This way, $Q_t(a) - \\max_a Q_t(a)$ is always negative, so its exponential is between 0 and 1.\n", "\n", "**Q:** Implement the softmax action selection (with $\\tau=0.5$ at first) and compare its performance to greedy and $\\epsilon$-greedy. Vary the temperature $\\tau$ and find the best possible value. Conclude.\n", "\n", "*Hint:* To select actions with different probabilities, check the doc of `rng.choice()`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "class SoftmaxAgent(GreedyAgent):\n", " \n", " def __init__(self, bandit, alpha, tau):\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)\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": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Number of arms\n", "nb_actions = 5\n", "\n", "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 0.1\n", "\n", "rewards_softmax = []\n", "optimal_softmax = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxAgent(bandit, alpha, tau)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmax.append(rewards)\n", " optimal_softmax.append(optimal)\n", " \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:** softmax loses less time than $\\epsilon$-greedy exploring the really bad solutions, so it is optimal earlier. It can be more efficient and optimal than the other methods, but finding the right value for $\\tau$ (0.1 works well) is difficult: its optimum value depends on the scaling of Q, you cannot know it in advance..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploration scheduling\n", "\n", "The problem with this version of softmax (with a constant temperature) is that even after it has found the optimal action, it will still explore the other ones (although more rarely than at the beginning). The solution is to **schedule** the exploration parameter so that it explores a lot at the beginning (high temperature) and gradually switches to more exploitation (low temperature).\n", "\n", "Many schemes are possible for that, the simplest one (**exponential decay**) being to multiply the value of $\\tau$ by a number very close to 1 after **each** play:\n", "\n", "$$\\tau = \\tau \\times (1 - \\tau_\\text{decay})$$\n", "\n", "**Q:** Implement in a class `SoftmaxScheduledAgent` temperature scheduling for the softmax algorithm ($\\epsilon$-greedy would be similar) with $\\tau=1$ initially and $\\tau_\\text{decay} = 0.01$ (feel free to change these values). Plot the evolution of `tau` and of the standard deviation of the choices of the optimal action. Conclude." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "class SoftmaxScheduledAgent(SoftmaxAgent):\n", " \n", " def __init__(self, bandit, alpha, tau, tau_decay):\n", " self.tau_decay = tau_decay\n", " \n", " self.tau_history = []\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, tau)\n", " \n", " \n", " def act(self):\n", " \n", " # Action selection\n", " logit = np.exp((self.Q_t - self.Q_t.max())/self.tau)\n", " proba_softmax = logit / np.sum(logit) \n", " action = rng.choice(self.actions, p=proba_softmax) \n", " \n", " # Decay tau\n", " self.tau = self.tau * (1 - self.tau_decay)\n", " self.tau_history.append(self.tau)\n", " \n", " return action" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 1.0\n", "tau_decay = 0.01\n", "\n", "rewards_softmaxscheduled = []\n", "optimal_softmaxscheduled = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxScheduledAgent(bandit, alpha, tau, tau_decay)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmaxscheduled.append(rewards)\n", " optimal_softmaxscheduled.append(optimal)\n", " \n", " \n", "rewards_softmaxscheduled = np.mean(rewards_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled_std = np.std(optimal_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled = np.mean(optimal_softmaxscheduled, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(16, 16))\n", "plt.subplot(221)\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_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(222)\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_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.subplot(223)\n", "plt.plot(agent.tau_history)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"$\\tau$\")\n", "plt.subplot(224)\n", "plt.plot(optimal_softmaxscheduled_std)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Variance\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** Scheduling drastically improves how often the optimal action is selected. In terms of mean reward, the difference is not that big, as there is often a \"second best\" action whose expected reward is close. We can see that the variance of the optimal action selection follows the parameter $\\tau$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Q:** Experiment with different schedules (initial values, decay rate) and try to find the best setting." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Learning rate\n", "alpha = 0.1\n", "\n", "# Tau for exploration\n", "tau = 10.0\n", "tau_decay = 0.05\n", "\n", "rewards_softmaxscheduled = []\n", "optimal_softmaxscheduled = []\n", "\n", "for trial in range(200):\n", "\n", " # Bandit\n", " bandit = Bandit(nb_actions)\n", "\n", " # Estimates\n", " agent = SoftmaxScheduledAgent(bandit, alpha, tau, tau_decay)\n", "\n", " # Store the rewards after each step\n", " rewards, optimal = agent.train(1000)\n", " \n", " rewards_softmaxscheduled.append(rewards)\n", " optimal_softmaxscheduled.append(optimal)\n", " \n", " \n", "rewards_softmaxscheduled = np.mean(rewards_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled_std = np.std(optimal_softmaxscheduled, axis=0)\n", "optimal_softmaxscheduled = np.mean(optimal_softmaxscheduled, axis=0)\n", " \n", "# Plot the Q-values and the evolution of rewards\n", "plt.figure(figsize=(16, 16))\n", "plt.subplot(221)\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_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Reward\")\n", "plt.subplot(222)\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_softmaxscheduled, label=\"Softmax (scheduled)\")\n", "plt.legend()\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Optimal\")\n", "plt.subplot(223)\n", "plt.plot(agent.tau_history)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"$\\tau$\")\n", "plt.subplot(224)\n", "plt.plot(optimal_softmaxscheduled_std)\n", "plt.xlabel(\"Plays\")\n", "plt.ylabel(\"Variance\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**A:** no unique answer here, but a very high exploration parameter initially which decreases quite fast leads to very performant solutions. Take-home message: scheduling is very important, but it is quite difficult to find the optimal schedule." ] } ], "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": "3.9.12" }, "vscode": { "interpreter": { "hash": "3d24234067c217f49dc985cbc60012ce72928059d528f330ba9cb23ce737906d" } } }, "nbformat": 4, "nbformat_minor": 4 }