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@akelleh
Created February 4, 2018 22:55
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{
"cells": [
{
"cell_type": "code",
"execution_count": 190,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"class SlotMachine(object):\n",
" def __init__(self, num_levers):\n",
" self.num_levers = num_levers\n",
" self.success_rates = [np.random.beta(1,1) for _ in range(num_levers)]\n",
" \n",
" def pull(self, state, i):\n",
" reward = np.random.binomial(1, self.success_rates[i])\n",
" output = np.zeros(self.num_levers)\n",
" output[i] = reward\n",
" gain = reward\n",
" return output * state, gain\n",
" \n",
" def generate_state(self):\n",
" num_in_state = np.random.choice(range(self.num_levers))\n",
" num_in_state = max(1, num_in_state)\n",
" state = np.random.choice(range(self.num_levers), size=num_in_state, replace=False)\n",
" state_vector = np.zeros(self.num_levers)\n",
" for i in state:\n",
" state_vector[i] = 1.\n",
" return state_vector"
]
},
{
"cell_type": "code",
"execution_count": 195,
"metadata": {},
"outputs": [],
"source": [
"from keras.layers import Input, Dense, Dropout\n",
"from keras.models import Model\n",
"from keras.optimizers import RMSprop\n",
"from collections import deque\n",
"\n",
"class DeepQNetwork(object):\n",
" def __init__(self, slot_machine, memory_length=100):\n",
" self.memory = deque([])\n",
" self.memory_length = memory_length\n",
" self.slot_machine = slot_machine\n",
" self.model = self.build_model()\n",
" \n",
" def act(self):\n",
" state = self.slot_machine.generate_state()\n",
" policy = self.model.predict(np.reshape(state, (1,10)))\n",
" action = np.argmax(self.model.predict(np.reshape(state, (1,10))))\n",
" reward, gain = self.slot_machine.pull(state, action)\n",
" random_gain = self.random_act(state)\n",
" best_gain = self.best_act(state)\n",
" return (state, action, reward, gain, random_gain, best_gain)\n",
" \n",
" def random_act(self, state):\n",
" choices = np.nonzero(state)[0]\n",
" action = np.random.choice(choices)\n",
" _, random_gain = self.slot_machine.pull(state, action)\n",
" return random_gain\n",
" \n",
" def best_act(self, state):\n",
" choices = np.nonzero(state)[0]\n",
" best_reward = max(np.array(self.slot_machine.success_rates)[choices])\n",
" return best_reward\n",
" \n",
" def learn(self, state, action, reward):\n",
" if len(self.memory) > self.memory_length:\n",
" self.memory.popleft()\n",
" recent_memory = self.memory #[-self.memory_length:]\n",
" states, actions, rewards, gains, random_gains, best_gains = zip(*recent_memory)\n",
" best_rate = sum(best_gains)/ float(len(best_gains))\n",
" current_rate= sum(gains)/ float(len(gains))\n",
" random_rate = sum(random_gains)/ float(len(random_gains))\n",
" percent_best = 1. - (best_rate - current_rate) / (best_rate - random_rate)\n",
" print(\"percent best: {} reward rate: {} random rate: {} best rate: {}\".format(percent_best,\n",
" current_rate,\n",
" random_rate,\n",
" best_rate\n",
" ))\n",
" self.model.train_on_batch(np.array(states), np.array(rewards))\n",
" \n",
"\n",
" def build_model(self):\n",
" input_length = self.slot_machine.num_levers\n",
" output_length = self.slot_machine.num_levers\n",
" \n",
" state_input = Input(shape=(input_length,))\n",
" h1 = Dense(10, activation='tanh', kernel_regularizer='l2', bias_regularizer='l2')(state_input)\n",
" d1 = Dropout(0.5)(h1)\n",
" h2 = Dense(10, activation='tanh')(d1)\n",
" #d2 = Dropout(0.5)(h2)\n",
" #h3 = Dense(50, activation='tanh')(d2)\n",
" chosen_action = Dense(output_length, activation='linear')(h2)\n",
" self.model = Model(inputs=[state_input], outputs=[chosen_action])\n",
" self.model.compile(optimizer=RMSprop(lr=0.0001, clipnorm=0.5), loss='mean_squared_error')\n",
" return self.model\n",
" \n",
" def run(self, steps=10000):\n",
" for _ in range(steps):\n",
" state, action, reward, gain, random_gain, best_gain = self.act()\n",
" self.memory.append((state, action, reward, gain, random_gain, best_gain))\n",
" if len(self.memory) > self.memory_length:\n",
" self.learn(state, action, reward)"
]
},
{
"cell_type": "code",
"execution_count": 196,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0.7649665027700249,\n",
" 0.42673473686418517,\n",
" 0.1846129361860512,\n",
" 0.7153497667416178,\n",
" 0.7739713412196318,\n",
" 0.060022694586102314,\n",
" 0.6320066406484348,\n",
" 0.5786114684088347,\n",
" 0.6193197857027226,\n",
" 0.6139720509228324]"
]
},
"execution_count": 196,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"slot_machine = SlotMachine(10)\n",
"slot_machine.success_rates"
]
},
{
"cell_type": "code",
"execution_count": 197,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"percent best: 0.06565533116103184 reward rate: 0.529 random rate: 0.517 best rate: 0.6997726673187863\n",
"percent best: 0.0605316714898011 reward rate: 0.529 random rate: 0.518 best rate: 0.6997230505827579\n",
"percent best: 0.06567315925236838 reward rate: 0.529 random rate: 0.517 best rate: 0.6997230505827577\n",
"percent best: 0.06567639587376284 reward rate: 0.529 random rate: 0.517 best rate: 0.6997140457443083\n",
"percent best: 0.07645064247433919 reward rate: 0.53 random rate: 0.516 best rate: 0.6991246873392745\n",
"percent best: 0.06573395787763614 reward rate: 0.529 random rate: 0.517 best rate: 0.6995540464540113\n",
"percent best: 0.07080121507728943 reward rate: 0.529 random rate: 0.516 best rate: 0.6996126680284893\n",
"percent best: 0.06574286080560898 reward rate: 0.529 random rate: 0.517 best rate: 0.6995293249023962\n",
"percent best: 0.07108620094828322 reward rate: 0.53 random rate: 0.517 best rate: 0.6998765615067516\n",
"percent best: 0.06556713273063108 reward rate: 0.529 random rate: 0.517 best rate: 0.7000185262073229\n",
"percent best: 0.06535987591415282 reward rate: 0.529 random rate: 0.517 best rate: 0.7005988797739068\n",
"percent best: 0.06531123429362484 reward rate: 0.529 random rate: 0.517 best rate: 0.7007356180722396\n",
"percent best: 0.06017695098740239 reward rate: 0.529 random rate: 0.518 best rate: 0.7007942396467175\n",
"percent best: 0.065647582895348 reward rate: 0.53 random rate: 0.518 best rate: 0.7007942396467176\n",
"percent best: 0.07088965500792155 reward rate: 0.531 random rate: 0.518 best rate: 0.7013835980517513\n",
"percent best: 0.07052416438472042 reward rate: 0.53 random rate: 0.517 best rate: 0.7013339813157228\n",
"percent best: 0.07052416438472031 reward rate: 0.53 random rate: 0.517 best rate: 0.7013339813157229\n",
"percent best: 0.0702042471507417 reward rate: 0.529 random rate: 0.516 best rate: 0.7011739820254261\n",
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"percent best: 0.0644558378643969 reward rate: 0.527 random rate: 0.515 best rate: 0.7011739820254261\n",
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"percent best: 0.0533641608679718 reward rate: 0.523 random rate: 0.513 best rate: 0.700391684556626\n",
"percent best: 0.06369707892490928 reward rate: 0.524 random rate: 0.512 best rate: 0.7003916845566259\n",
"percent best: 0.06374334506746793 reward rate: 0.524 random rate: 0.512 best rate: 0.7002549462582931\n",
"percent best: 0.05344107441670787 reward rate: 0.523 random rate: 0.513 best rate: 0.7001219863961715\n",
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"percent best: 0.06873542995327098 reward rate: 0.524 random rate: 0.511 best rate: 0.7001309912346211\n",
"percent best: 0.068732157501884 reward rate: 0.524 random rate: 0.511 best rate: 0.7001399960730708\n",
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"percent best: 0.0949927444065789 reward rate: 0.529 random rate: 0.511 best rate: 0.7004881563054766\n",
"percent best: 0.08971110647450942 reward rate: 0.528 random rate: 0.511 best rate: 0.7004971611439261\n",
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"percent best: 0.08963369567150348 reward rate: 0.528 random rate: 0.511 best rate: 0.7006608175378927\n",
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"percent best: 0.07950622409702746 reward rate: 0.527 random rate: 0.512 best rate: 0.7006644746415623\n",
"percent best: 0.08963196735776424 reward rate: 0.528 random rate: 0.511 best rate: 0.7006644746415623\n",
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"percent best: 0.10397678904535368 reward rate: 0.529 random rate: 0.509 best rate: 0.701350621553395\n",
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},
{
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"text": [
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