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Created August 25, 2020 14:36
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Multi-Armed Bandit Algorithm Examples
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Thompson Sampling for solving Multi-Armed Bandit\n",
"\n",
"https://www.youtube.com/watch?v=aWKeSvnTalE \n",
"https://towardsdatascience.com/hompson-sampling-for-multi-armed-bandit-problems-part-1-b750cbbdad34 \n",
"https://towardsdatascience.com/solving-multiarmed-bandits-a-comparison-of-epsilon-greedy-and-thompson-sampling-d97167ca9a50 \n",
"https://arxiv.org/abs/1904.07272 \n",
"https://djrusso.github.io/RLCourse/papers/TS_Tutorial.pdf "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import scipy.stats as sp"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class BernoulliCounter:\n",
" def __init__(self):\n",
" self.successes = 0\n",
" self.failures = 0\n",
" \n",
" def update(self, reward):\n",
" self.successes += reward\n",
" self.failures += 1 - reward\n",
" \n",
" def success_rate(self):\n",
" try:\n",
" return self.successes / (self.successes + self.failures)\n",
" except ZeroDivisionError:\n",
" return 0\n",
" \n",
"cnt = BernoulliCounter()\n",
"\n",
"cnt.update(reward=1)\n",
"assert cnt.successes == 1\n",
"assert cnt.failures == 0\n",
"\n",
"cnt.update(reward=0)\n",
"assert cnt.successes == 1\n",
"assert cnt.failures == 1"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.71390736])"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class Beta(BernoulliCounter):\n",
" def __init__(self, alpha = 1, beta = 1):\n",
" self.alpha = alpha\n",
" self.beta = beta\n",
" super().__init__()\n",
"\n",
" def sample(self, size = 1):\n",
" return sp.beta.rvs(a=self.successes + self.alpha, b=self.failures + self.beta, size=size)\n",
" \n",
" def success_rate(self):\n",
" return (self.successes + self.alpha) / (self.successes + self.alpha + self.failures + self.beta)\n",
"\n",
"assert Beta().success_rate() == 0.5\n",
"Beta().sample()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0, 0, 1]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"class BernoulliRewardSampler:\n",
" def __init__(self, probs):\n",
" self.probs = probs\n",
" \n",
" def __len__(self):\n",
" return len(self.probs)\n",
" \n",
" def __call__(self):\n",
" return [int(sp.bernoulli.rvs(p=p, size=1)) for p in self.probs]\n",
"\n",
"BernoulliRewardSampler([0.2, 0.5, 0.9])()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"class Bandit:\n",
" def __init__(self, k):\n",
" self.rewards = [BernoulliCounter() for _ in range(k)]\n",
" \n",
" def __call__(self, rewards):\n",
" k = self.select_arm()\n",
" self.rewards[k].update(rewards[k])\n",
" return self.success_rates()\n",
" \n",
" def select_arm(self):\n",
" raise NotImplementedError\n",
" \n",
" def success_rates(self):\n",
" return [arm.success_rate() for arm in self.rewards]\n",
" \n",
" def total_rewards(self):\n",
" return [arm.successes for arm in self.rewards]\n",
" \n",
"\n",
"class PureExploration(Bandit):\n",
" def select_arm(self):\n",
" return np.random.choice(len(self.rewards))\n",
" \n",
" def __str__(self):\n",
" return 'Pure exploration'\n",
"\n",
" \n",
"class ExploreFirst(Bandit):\n",
" def __init__(self, k, steps):\n",
" super().__init__(k)\n",
" self.steps = steps\n",
" self.iter = 0\n",
" \n",
" def select_arm(self):\n",
" self.iter += 1\n",
" if self.iter <= self.steps:\n",
" return np.random.choice(len(self.rewards))\n",
" else:\n",
" return np.argmax(self.success_rates())\n",
" \n",
" def __str__(self):\n",
" return f'Explore-first algorithm, exploration steps={self.steps}'\n",
" \n",
" \n",
"class EpsilonGreedy(Bandit):\n",
" def __init__(self, k, epsilon = 0.5):\n",
" super().__init__(k)\n",
" self.epsilon = epsilon\n",
" \n",
" def select_arm(self):\n",
" if np.random.rand() > self.epsilon:\n",
" return np.argmax(self.success_rates())\n",
" else:\n",
" return np.random.choice(len(self.rewards))\n",
" \n",
" def __str__(self):\n",
" return f'$\\epsilon$-greedy algorithm with $\\epsilon=${bandit.epsilon}'\n",
" \n",
"\n",
"class BernoulliGreedy(Bandit):\n",
" def __init__(self, k):\n",
" self.rewards = [Beta() for _ in range(k)]\n",
" \n",
" def select_arm(self):\n",
" return np.argmax(self.success_rates())\n",
" \n",
" def __str__(self):\n",
" return 'Bernoulli greedy algorithm'\n",
" \n",
"\n",
"class ThompsonSampling(Bandit):\n",
" def __init__(self, k):\n",
" self.rewards = [Beta() for _ in range(k)]\n",
" \n",
" def select_arm(self):\n",
" return np.argmax([arm.sample() for arm in self.rewards])\n",
" \n",
" def __str__(self):\n",
" return 'Thompson sampling'"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[23, 112, 113, 187] 435\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[7, 63, 53, 467] 590\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[16, 51, 79, 448] 594\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[23, 96, 91, 323] 533\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 0, 0, 746] 746\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 4, 11, 725] 740\n"
]
}
],
"source": [
"reward_sampler = BernoulliRewardSampler([0.1, 0.45, 0.5, 0.75])\n",
"num_arms = len(reward_sampler)\n",
"\n",
"for bandit in [\n",
" PureExploration(num_arms),\n",
" ExploreFirst(num_arms, 500),\n",
" EpsilonGreedy(num_arms, 0.5),\n",
" EpsilonGreedy(num_arms, 0.75),\n",
" BernoulliGreedy(num_arms),\n",
" ThompsonSampling(num_arms),\n",
"]:\n",
" np.random.seed(42)\n",
"\n",
" results = []\n",
" for _ in range(1000):\n",
" results.append(bandit(reward_sampler()))\n",
"\n",
" plt.plot(results)\n",
" plt.ylabel('Success ratio')\n",
" plt.legend(labels=[f'P(win)={rwd}' for rwd in reward_sampler.probs])\n",
" plt.title(str(bandit))\n",
" \n",
" if isinstance(bandit, ExploreFirst):\n",
" plt.axvline(x=bandit.steps, color='black', ls='--', lw=1)\n",
" \n",
" plt.show() \n",
"\n",
" print(bandit.total_rewards(), np.sum(bandit.total_rewards()))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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