{ "cells": [ { "cell_type": "markdown", "metadata": { "_cell_guid": "83708667-4fdc-1563-7b3a-06b6575d2865" }, "source": [ "# Reinforcement Learning based Trading Strategy\n", "\n", "In this case study, we will create an end-to-end trading strategy based on Reinforcement Learning. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Content" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* [1. Problem Definition](#0)\n", "* [2. Getting Started - Load Libraries and Dataset](#1)\n", " * [2.1. Load Libraries](#1.1) \n", " * [2.2. Load Dataset](#1.2)\n", "* [3. Exploratory Data Analysis](#2)\n", " * [3.1 Descriptive Statistics](#2.1) \n", " * [3.2. Data Visualisation](#2.2)\n", "* [4. Data Preparation](#3)\n", " * [4.1 Data Cleaning](#3.1) \n", "* [5.Evaluate Algorithms and Models](#5) \n", " * [5.1. Train Test Split](#5.1)\n", " * [5.2. Implementation steps and modules](#5.2)\n", " * [5.3. Agent Script](#5.3)\n", " * [5.4. Helper Function](#5.4)\n", " * [5.5. Training Set](#5.5) \n", "\n", "* [6.Test Set](#6) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='0'></a>\n", "# 1. Problem Definition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this Reinforcement Learning framework for trading strategy, the algorithm takes an action (buy, sell or hold) depending upon the current state of the stock price. The algorithm is trained using Deep Q-Learning framework, to help us predict\n", "the best action, based on the current stock prices. \n", "\n", "The key components of the RL based framework are :\n", "* Agent: Trading agent.\n", "* Action: Buy, sell or hold.\n", "* Reward function: Realized profit and loss (PnL) is used as the reward function\n", "for this case study. The reward depends upon the action:\n", " * Sell: Realized profit and loss (sell price - bought price)\n", " * Buy: No reward\n", " * Hold: No Reward \n", "\n", "* State: Differences of past stock prices for a given time window is used as the state.\n", "\n", "The data used for this case study will be the standard and poor's 500. The link to the data is : https://ca.finance.yahoo.com/quote/%255EGSPC/history?p=%255EGSPC)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1'></a>\n", "# 2. Getting Started- Loading the data and python packages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1.1'></a>\n", "## 2.1. Loading the python packages" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "_cell_guid": "5d8fee34-f454-2642-8b06-ed719f0317e1" }, "outputs": [], "source": [ "# Load libraries\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from pandas import read_csv, set_option\n", "from pandas.plotting import scatter_matrix\n", "import seaborn as sns\n", "from sklearn.preprocessing import StandardScaler\n", "import datetime\n", "import math\n", "from numpy.random import choice\n", "import random\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "\n", "#Import Model Packages for reinforcement learning\n", "from keras import layers, models, optimizers\n", "from keras import backend as K\n", "from collections import namedtuple, deque" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='1.2'></a>\n", "## 2.2. Loading the Data" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [], "source": [ "#The data already obtained from yahoo finance is imported.\n", "dataset = read_csv('data/SP500.csv',index_col=0)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [], "source": [ "#Diable the warnings\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "pandas.core.frame.DataFrame" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(dataset)" ] }, { "cell_type": "markdown", "metadata": { "_cell_guid": "df6a4523-b385-69ee-c933-592826d81431" }, "source": [ "<a id='2'></a>\n", "# 3. Exploratory Data Analysis" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "_cell_guid": "52f85dc2-0f91-3c50-400e-ddc38bea966b" }, "outputs": [ { "data": { "text/plain": [ "(2516, 6)" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# shape\n", "dataset.shape" ] }, { "cell_type": "code", "execution_count": 63, "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>Open</th>\n", " <th>High</th>\n", " <th>Low</th>\n", " <th>Close</th>\n", " <th>Adj Close</th>\n", " <th>Volume</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2010-01-04</th>\n", " <td>1116.56</td>\n", " <td>1133.87</td>\n", " <td>1116.56</td>\n", " <td>1132.99</td>\n", " <td>1132.99</td>\n", " <td>3991400000</td>\n", " </tr>\n", " <tr>\n", " <th>2010-01-05</th>\n", " <td>1132.66</td>\n", " <td>1136.63</td>\n", " <td>1129.66</td>\n", " <td>1136.52</td>\n", " <td>1136.52</td>\n", " <td>2491020000</td>\n", " </tr>\n", " <tr>\n", " <th>2010-01-06</th>\n", " <td>1135.71</td>\n", " <td>1139.19</td>\n", " <td>1133.95</td>\n", " <td>1137.14</td>\n", " <td>1137.14</td>\n", " <td>4972660000</td>\n", " </tr>\n", " <tr>\n", " <th>2010-01-07</th>\n", " <td>1136.27</td>\n", " <td>1142.46</td>\n", " <td>1131.32</td>\n", " <td>1141.69</td>\n", " <td>1141.69</td>\n", " <td>5270680000</td>\n", " </tr>\n", " <tr>\n", " <th>2010-01-08</th>\n", " <td>1140.52</td>\n", " <td>1145.39</td>\n", " <td>1136.22</td>\n", " <td>1144.98</td>\n", " <td>1144.98</td>\n", " <td>4389590000</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " Open High Low Close Adj Close Volume\n", "Date \n", "2010-01-04 1116.56 1133.87 1116.56 1132.99 1132.99 3991400000\n", "2010-01-05 1132.66 1136.63 1129.66 1136.52 1136.52 2491020000\n", "2010-01-06 1135.71 1139.19 1133.95 1137.14 1137.14 4972660000\n", "2010-01-07 1136.27 1142.46 1131.32 1141.69 1141.69 5270680000\n", "2010-01-08 1140.52 1145.39 1136.22 1144.98 1144.98 4389590000" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# peek at data\n", "set_option('display.width', 100)\n", "dataset.head(5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data has total 2515 rows and six columns which contain the open, high, low,\n", "close and adjusted close price along with the total volume. The adjusted close is the\n", "closing price adjusted for the split and dividends. For the purpose of this case study,\n", "we will be focusing on the closing price." ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "_cell_guid": "7bffeec0-5bbc-fffb-18f2-3da56b862ca3" }, "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>Open</th>\n", " <th>High</th>\n", " <th>Low</th>\n", " <th>Close</th>\n", " <th>Adj Close</th>\n", " <th>Volume</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>count</th>\n", " <td>2516.000</td>\n", " <td>2516.000</td>\n", " <td>2516.000</td>\n", " <td>2516.000</td>\n", " <td>2516.000</td>\n", " <td>2.516e+03</td>\n", " </tr>\n", " <tr>\n", " <th>mean</th>\n", " <td>1962.148</td>\n", " <td>1971.347</td>\n", " <td>1952.200</td>\n", " <td>1962.609</td>\n", " <td>1962.609</td>\n", " <td>3.715e+09</td>\n", " </tr>\n", " <tr>\n", " <th>std</th>\n", " <td>589.031</td>\n", " <td>590.191</td>\n", " <td>587.624</td>\n", " <td>588.910</td>\n", " <td>588.910</td>\n", " <td>8.134e+08</td>\n", " </tr>\n", " <tr>\n", " <th>min</th>\n", " <td>1027.650</td>\n", " <td>1032.950</td>\n", " <td>1010.910</td>\n", " <td>1022.580</td>\n", " <td>1022.580</td>\n", " <td>1.025e+09</td>\n", " </tr>\n", " <tr>\n", " <th>25%</th>\n", " <td>1381.643</td>\n", " <td>1390.700</td>\n", " <td>1372.800</td>\n", " <td>1384.405</td>\n", " <td>1384.405</td>\n", " <td>3.238e+09</td>\n", " </tr>\n", " <tr>\n", " <th>50%</th>\n", " <td>1985.320</td>\n", " <td>1993.085</td>\n", " <td>1975.660</td>\n", " <td>1986.480</td>\n", " <td>1986.480</td>\n", " <td>3.588e+09</td>\n", " </tr>\n", " <tr>\n", " <th>75%</th>\n", " <td>2434.180</td>\n", " <td>2441.523</td>\n", " <td>2427.960</td>\n", " <td>2433.968</td>\n", " <td>2433.968</td>\n", " <td>4.077e+09</td>\n", " </tr>\n", " <tr>\n", " <th>max</th>\n", " <td>3247.230</td>\n", " <td>3247.930</td>\n", " <td>3234.370</td>\n", " <td>3240.020</td>\n", " <td>3240.020</td>\n", " <td>1.062e+10</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " Open High Low Close Adj Close Volume\n", "count 2516.000 2516.000 2516.000 2516.000 2516.000 2.516e+03\n", "mean 1962.148 1971.347 1952.200 1962.609 1962.609 3.715e+09\n", "std 589.031 590.191 587.624 588.910 588.910 8.134e+08\n", "min 1027.650 1032.950 1010.910 1022.580 1022.580 1.025e+09\n", "25% 1381.643 1390.700 1372.800 1384.405 1384.405 3.238e+09\n", "50% 1985.320 1993.085 1975.660 1986.480 1986.480 3.588e+09\n", "75% 2434.180 2441.523 2427.960 2433.968 2433.968 4.077e+09\n", "max 3247.230 3247.930 3234.370 3240.020 3240.020 1.062e+10" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# describe data\n", "set_option('precision', 3)\n", "dataset.describe()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us look at the plot of the stock movement. " ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.axes._subplots.AxesSubplot at 0x1f2b0064da0>" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "dataset['Close'].plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='3'></a>\n", "## 4. Data Preparation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='3.1'></a>\n", "## 4.1. Data Cleaning\n", "Let us check for the NAs in the rows, either drop them or fill them with the mean of the column" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Null Values = False\n" ] } ], "source": [ "#Checking for any null values and removing the null values'''\n", "print('Null Values =',dataset.isnull().values.any())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In case there are null values fill the missing values with the last value available in the dataset. " ] }, { "cell_type": "code", "execution_count": 67, "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>Open</th>\n", " <th>High</th>\n", " <th>Low</th>\n", " <th>Close</th>\n", " <th>Adj Close</th>\n", " <th>Volume</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2010-01-04</th>\n", " <td>1116.56</td>\n", " <td>1133.87</td>\n", " <td>1116.56</td>\n", " <td>1132.99</td>\n", " <td>1132.99</td>\n", " <td>3991400000</td>\n", " </tr>\n", " <tr>\n", " <th>2010-01-05</th>\n", " <td>1132.66</td>\n", " <td>1136.63</td>\n", " <td>1129.66</td>\n", " <td>1136.52</td>\n", " <td>1136.52</td>\n", " <td>2491020000</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " Open High Low Close Adj Close Volume\n", "Date \n", "2010-01-04 1116.56 1133.87 1116.56 1132.99 1132.99 3991400000\n", "2010-01-05 1132.66 1136.63 1129.66 1136.52 1136.52 2491020000" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Fill the missing values with the last value available in the dataset. \n", "dataset=dataset.fillna(method='ffill')\n", "dataset.head(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The parameters to clusters are the indices and the variables used in the clustering are the columns. Hence the data is in the right format to be fed to the clustering algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='4'></a>\n", "# 5. Evaluate Algorithms and Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='5.1'></a>\n", "## 5.1. Train Test Split" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use 80% of the dataset for modeling\n", "and use 20% for testing." ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "X=list(dataset[\"Close\"])\n", "X=[float(x) for x in X]" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "validation_size = 0.2\n", "#In case the data is not dependent on the time series, then train and test split should be done based on sequential sample\n", "#This can be done by selecting an arbitrary split point in the ordered list of observations and creating two new datasets.\n", "train_size = int(len(X) * (1-validation_size))\n", "X_train, X_test = X[0:train_size], X[train_size:len(X)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='5.2'></a>\n", "## 5.2. Implementation steps and modules" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm, in simple terms decides whether to buy, sell or hold, when provided\n", "with the current market price. The algorithm is based on “Q-learning based”\n", "approach and used Deep-Q-Network (DQN) to come up with a policy. As discussed\n", "before, the name “Q-learning” comes from the Q(s, a) function, that based on the\n", "state s and provided action a returns the expected reward.\n", "\n", "\n", "In order to implement this DQN algorithm several functions and modules are implemented that interact with each other during the model training. A summary of the\n", "modules and functions is described below.\n", "\n", "1. **Agent Class**: The agent is defined as “Agent” class, that holds the variables and\n", "member functions that perform the Q-Learning that we discussed before. An\n", "object of the “Agent” class is created using the training phase and is used for\n", "training the model.\n", "2. **Helper functions**: In this module, we create additional functions that are helpful\n", "for training. There are two helper functions that we have are as follows.\n", "3. **Training module**: In this step, we perform the training of the data using the vari‐\n", "ables and the functions agent and helper methods. This will provide us with one\n", "of three actions (i.e. buy, sell or hold) based on the states of the stock prices at the\n", "end of the day. During training, the prescribed action for each day is predicted,\n", "the rewards are computed and the deep-learning based Q-learning model\n", "weights are updated iteratively over a number of episodes. Additionally, the profit\n", "and loss of each action is summed up to see whether an overall profit has occur‐\n", "red. The aim is to maximize the total profit.\n", "We provide a deep dive into the interaction between different modules and functions\n", "in the “Training the model” section below.\n", "Let us look at the each of the modules in detail" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='5.3'></a>\n", "## 5.3. Agent script" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The definition of the Agent script is the key step, as it consists of the In this section, we will train an agent that will perform reinforcement learning based on the Q-Learning. We will perform the following steps to achieve this:\n", "\n", "* Create an agent class whose initial function takes in the batch size, state size, and an evaluation Boolean function, to check whether the training is ongoing.\n", "* In the agent class, create the following methods:\n", " * Constructor: The constructor inititalises all the parameters.\n", " * Model : This f unction has a deep learning model to map the state to action.\n", " * Act function :Returns an action, given a state, using the output of the model function. The number of actions are defined as 3: sit, buy, sell\n", " * expReplay : Create a Replay function that adds, samples, and evaluates a buffer. Add a new experience to the replay buffer memory. Randomly sample a batch of experienced tuples from the memory. In the following function, we randomly sample states from a memory buffer. Experience replay stores a history of state, action, reward, and next state transitions that are experienced by the agent. It randomly samples mini-batches from this experience to update the network weights at each time step before the agent selects an ε-greedy action.\n", "\n", "Experience replay increases sample efficiency, reduces the autocorrelation of samples that are collected during online learning, and limits the feedback due to the current weights producing training samples that can lead to local minima or divergence." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "import keras\n", "from keras.models import Sequential\n", "from keras.models import load_model\n", "from keras.layers import Dense\n", "from keras.optimizers import Adam\n", "from IPython.core.debugger import set_trace\n", "\n", "import numpy as np\n", "import random\n", "from collections import deque\n", "\n", "class Agent:\n", " def __init__(self, state_size, is_eval=False, model_name=\"\"):\n", " #State size depends and is equal to the the window size, n previous days\n", " self.state_size = state_size # normalized previous days, \n", " self.action_size = 3 # sit, buy, sell\n", " self.memory = deque(maxlen=1000)\n", " self.inventory = []\n", " self.model_name = model_name\n", " self.is_eval = is_eval\n", "\n", " self.gamma = 0.95\n", " self.epsilon = 1.0\n", " self.epsilon_min = 0.01\n", " self.epsilon_decay = 0.995\n", " #self.epsilon_decay = 0.9\n", " \n", " #self.model = self._model()\n", "\n", " self.model = load_model(model_name) if is_eval else self._model()\n", "\n", " #Deep Q Learning model- returns the q-value when given state as input \n", " def _model(self):\n", " model = Sequential()\n", " #Input Layer\n", " model.add(Dense(units=64, input_dim=self.state_size, activation=\"relu\"))\n", " #Hidden Layers\n", " model.add(Dense(units=32, activation=\"relu\"))\n", " model.add(Dense(units=8, activation=\"relu\"))\n", " #Output Layer \n", " model.add(Dense(self.action_size, activation=\"linear\"))\n", " model.compile(loss=\"mse\", optimizer=Adam(lr=0.001))\n", " return model\n", " \n", " #Return the action on the value function\n", " #With probability (1-$\\epsilon$) choose the action which has the highest Q-value.\n", " #With probability ($\\epsilon$) choose any action at random.\n", " #Intitially high epsilon-more random, later less\n", " #The trained agents were evaluated by different initial random condition\n", " #and an e-greedy policy with epsilon 0.05. This procedure is adopted to minimize the possibility of overfitting during evaluation.\n", " \n", " def act(self, state): \n", " #If it is test and self.epsilon is still very high, once the epsilon become low, there are no random\n", " #actions suggested.\n", " if not self.is_eval and random.random() <= self.epsilon:\n", " return random.randrange(self.action_size) \n", " options = self.model.predict(state)\n", " #set_trace()\n", " #action is based on the action that has the highest value from the q-value function.\n", " return np.argmax(options[0])\n", "\n", " def expReplay(self, batch_size):\n", " mini_batch = []\n", " l = len(self.memory)\n", " for i in range(l - batch_size + 1, l):\n", " mini_batch.append(self.memory[i])\n", " \n", " # the memory during the training phase. \n", " for state, action, reward, next_state, done in mini_batch:\n", " target = reward # reward or Q at time t \n", " #update the Q table based on Q table equation\n", " #set_trace()\n", " if not done:\n", " #set_trace()\n", " #max of the array of the predicted. \n", " target = reward + self.gamma * np.amax(self.model.predict(next_state)[0]) \n", " \n", " # Q-value of the state currently from the table \n", " target_f = self.model.predict(state)\n", " # Update the output Q table for the given action in the table \n", " target_f[0][action] = target\n", " #train and fit the model where state is X and target_f is Y, where the target is updated. \n", " self.model.fit(state, target_f, epochs=1, verbose=0)\n", " \n", " if self.epsilon > self.epsilon_min:\n", " self.epsilon *= self.epsilon_decay" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='5.4'></a>\n", "## 5.4. Helper Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this script, we will create functions that will be helpful for training. We create the following functions:\n", "\n", "1) formatPrice:format the price to two decimal places, to reduce the ambiguity of the data:\n", "\n", "2) getStockData: Return a vector of stock data from the CSV file. Convert the closing stock prices from the data to vectors, and return a vector of all stock prices.\n", "\n", "3) getState: Define a function to generate states from the input vector. Create the time series by generating the states from the vectors created in the previous step. The function for this takes three parameters: the data; a time, t (the day that you want to predict); and a window (how many days to go back in time). The rate of change between these vectors will then be measured and based on the sigmoid function." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import math\n", "\n", "# prints formatted price\n", "def formatPrice(n):\n", " return (\"-$\" if n < 0 else \"$\") + \"{0:.2f}\".format(abs(n))\n", "\n", "# # returns the vector containing stock data from a fixed file \n", "# def getStockData(key):\n", "# vec = []\n", "# lines = open(\"data/\" + key + \".csv\", \"r\").read().splitlines()\n", "\n", "# for line in lines[1:]:\n", "# vec.append(float(line.split(\",\")[4])) #Only Close column\n", "\n", "# return vec\n", "\n", "# returns the sigmoid\n", "def sigmoid(x):\n", " return 1 / (1 + math.exp(-x))\n", "\n", "# returns an an n-day state representation ending at time t\n", "\n", "def getState(data, t, n): \n", " d = t - n + 1\n", " block = data[d:t + 1] if d >= 0 else -d * [data[0]] + data[0:t + 1] # pad with t0\n", " #block is which is the for [1283.27002, 1283.27002]\n", " res = []\n", " for i in range(n - 1):\n", " res.append(sigmoid(block[i + 1] - block[i]))\n", " return np.array([res])\n", "\n", "# Plots the behavior of the output\n", "def plot_behavior(data_input, states_buy, states_sell, profit):\n", " fig = plt.figure(figsize = (15,5))\n", " plt.plot(data_input, color='r', lw=2.)\n", " plt.plot(data_input, '^', markersize=10, color='m', label = 'Buying signal', markevery = states_buy)\n", " plt.plot(data_input, 'v', markersize=10, color='k', label = 'Selling signal', markevery = states_sell)\n", " plt.title('Total gains: %f'%(profit))\n", " plt.legend()\n", " #plt.savefig('output/'+name+'.png')\n", " plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='5.5'></a>\n", "## 5.5. Training the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will proceed to train the data, based on our agent and helper methods. This will provide us with one of three actions, based on the states of the stock prices at the end of the day. These states can be to buy, sell, or hold. During training, the prescribed action for each day is predicted, and the price (profit, loss, or unchanged) of the action is calculated. The cumulative sum will be calculated at the end of the training period, and we will see whether there has been a profit or a loss. The aim is to maximize the total profit.\n", "\n", "Steps: \n", "* Define the number of market days to consider as the window size and define the batch size with which the neural network will be trained.\n", "* Instantiate the stock agent with the window size and batch size.\n", "* Read the training data from the CSV file, using the helper function.\n", "* The episode count is defined. The agent will look at the data for so many numbers of times. An episode represents a complete pass over the data.\n", "* We can start to iterate through the episodes.\n", "* Each episode has to be started with a state based on the data and window size. The inventory of stocks is initialized before going through the data.\n", "* **Start to iterate over every day of the stock data. The action probability is predicted by the agent**. \n", "* Next, every day of trading is iterated, and the agent can act upon the data. Every day, the agent decides an action. Based on the action, the stock is held, sold, or bought.\n", "* If the action is 1, then agent buys the stock. \n", "* If the action is 2, the agent sells the stocks and removes it from the inventory. Based on the sale, the profit (or loss) is calculated.\n", "\n", "* If the action is 0, then there is no trade. The state can be called holding during that period.\n", "* The details of the state, next state, action etc is saved in the memory of the agent object, which is used further by the exeReply function. \n" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running episode 0/10\n", "--------------------------------\n", "Total Profit: $2179.84\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 1/10\n", "--------------------------------\n", "Total Profit: -$45.07\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 2/10\n", "--------------------------------\n", "Total Profit: $312.55\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 3/10\n", "--------------------------------\n", "Total Profit: $13.25\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 4/10\n", "--------------------------------\n", "Total Profit: $727.84\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 5/10\n", "--------------------------------\n", "Total Profit: $535.26\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 6/10\n", "--------------------------------\n", "Total Profit: $1290.32\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 7/10\n", "--------------------------------\n", "Total Profit: $898.78\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 8/10\n", "--------------------------------\n", "Total Profit: $353.15\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 9/10\n", "--------------------------------\n", "Total Profit: $1971.54\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Running episode 10/10\n", "--------------------------------\n", "Total Profit: $1926.84\n", "--------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from IPython.core.debugger import set_trace\n", "window_size = 1\n", "agent = Agent(window_size)\n", "#In this step we feed the closing value of the stock price \n", "data = X_train\n", "l = len(data) - 1\n", "#\n", "batch_size = 32\n", "#An episode represents a complete pass over the data.\n", "episode_count = 10\n", "\n", "for e in range(episode_count + 1):\n", " print(\"Running episode \" + str(e) + \"/\" + str(episode_count))\n", " state = getState(data, 0, window_size + 1)\n", " #set_trace()\n", " total_profit = 0\n", " agent.inventory = []\n", " states_sell = []\n", " states_buy = []\n", " for t in range(l):\n", " action = agent.act(state) \n", " # sit\n", " next_state = getState(data, t + 1, window_size + 1)\n", " reward = 0\n", "\n", " if action == 1: # buy\n", " agent.inventory.append(data[t])\n", " states_buy.append(t)\n", " #print(\"Buy: \" + formatPrice(data[t]))\n", "\n", " elif action == 2 and len(agent.inventory) > 0: # sell\n", " bought_price = agent.inventory.pop(0) \n", " reward = max(data[t] - bought_price, 0)\n", " total_profit += data[t] - bought_price\n", " states_sell.append(t)\n", " #print(\"Sell: \" + formatPrice(data[t]) + \" | Profit: \" + formatPrice(data[t] - bought_price))\n", "\n", " done = True if t == l - 1 else False\n", " #appends the details of the state action etc in the memory, which is used further by the exeReply function\n", " agent.memory.append((state, action, reward, next_state, done))\n", " state = next_state\n", "\n", " if done:\n", " print(\"--------------------------------\")\n", " print(\"Total Profit: \" + formatPrice(total_profit))\n", " print(\"--------------------------------\")\n", " #set_trace()\n", " #pd.DataFrame(np.array(agent.memory)).to_csv(\"Agent\"+str(e)+\".csv\")\n", " #Chart to show how the model performs with the stock goin up and down for each \n", " plot_behavior(data,states_buy, states_sell, total_profit)\n", " if len(agent.memory) > batch_size:\n", " agent.expReplay(batch_size) \n", " \n", "\n", " if e % 2 == 0:\n", " agent.model.save(\"model_ep\" + str(e))" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "_________________________________________________________________\n", "Layer (type) Output Shape Param # \n", "=================================================================\n", "dense_13 (Dense) (None, 64) 128 \n", "_________________________________________________________________\n", "dense_14 (Dense) (None, 32) 2080 \n", "_________________________________________________________________\n", "dense_15 (Dense) (None, 8) 264 \n", "_________________________________________________________________\n", "dense_16 (Dense) (None, 3) 27 \n", "=================================================================\n", "Total params: 2,499\n", "Trainable params: 2,499\n", "Non-trainable params: 0\n", "_________________________________________________________________\n", "None\n" ] } ], "source": [ "#Deep Q-Learning Model\n", "print(agent.model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "<a id='6'></a>\n", "# 6. Testing the Data " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After training the data, it is tested it against the test dataset. Our model resulted in a overall profit. The best thing about the model was that the profits kept improving over time, indicating that it was learning well and taking better actions." ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "#agent is already defined in the training set above.\n", "test_data = X_test\n", "l_test = len(test_data) - 1\n", "state = getState(test_data, 0, window_size + 1)\n", "total_profit = 0\n", "is_eval = True\n", "done = False\n", "states_sell_test = []\n", "states_buy_test = []\n", "#Get the trained model\n", "model_name = \"model_ep\"+str(episode_count)\n", "agent = Agent(window_size, is_eval, model_name)\n", "state = getState(data, 0, window_size + 1)\n", "total_profit = 0\n", "agent.inventory = []" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Buy: $2673.61\n", "Sell: $2695.81 | profit: $22.20\n", "Buy: $2748.23\n", "Sell: $2767.56 | profit: $19.33\n", "Buy: $2776.42\n", "Sell: $2802.56 | profit: $26.14\n", "Buy: $2798.03\n", "Sell: $2810.30 | profit: $12.27\n", "Buy: $2837.54\n", "Sell: $2839.25 | profit: $1.71\n", "Buy: $2853.53\n", "Buy: $2822.43\n", "Sell: $2823.81 | profit: -$29.72\n", "Buy: $2821.98\n", "Buy: $2762.13\n", "Buy: $2648.94\n", "Sell: $2695.14 | profit: -$127.29\n", "Buy: $2681.66\n", "Buy: $2581.00\n", "Sell: $2619.55 | profit: -$202.43\n", "Sell: $2656.00 | profit: -$106.13\n", "Sell: $2662.94 | profit: $14.00\n", "Sell: $2698.63 | profit: $16.97\n", "Sell: $2731.20 | profit: $150.20\n", "Buy: $2716.26\n", "Buy: $2701.33\n", "Sell: $2703.96 | profit: -$12.30\n", "Sell: $2747.30 | profit: $45.97\n", "Buy: $2744.28\n", "Buy: $2713.83\n", "Buy: $2677.67\n", "Sell: $2691.25 | profit: -$53.03\n", "Sell: $2720.94 | profit: $7.11\n", "Sell: $2728.12 | profit: $50.45\n", "Buy: $2726.80\n", "Sell: $2738.97 | profit: $12.17\n", "Buy: $2783.02\n", "Buy: $2765.31\n", "Buy: $2749.48\n", "Buy: $2747.33\n", "Sell: $2752.01 | profit: -$31.01\n", "Buy: $2712.92\n", "Sell: $2716.94 | profit: -$48.37\n", "Buy: $2711.93\n", "Buy: $2643.69\n", "Buy: $2588.26\n", "Sell: $2658.55 | profit: -$90.93\n", "Buy: $2612.62\n", "Buy: $2605.00\n", "Sell: $2640.87 | profit: -$106.46\n", "Buy: $2581.88\n", "Sell: $2614.45 | profit: -$98.47\n", "Sell: $2644.69 | profit: -$67.24\n", "Sell: $2662.84 | profit: $19.15\n", "Buy: $2604.47\n", "Sell: $2613.16 | profit: $24.90\n", "Sell: $2656.87 | profit: $44.25\n", "Buy: $2642.19\n", "Sell: $2663.99 | profit: $58.99\n", "Buy: $2656.30\n", "Sell: $2677.84 | profit: $95.96\n", "Sell: $2706.39 | profit: $101.92\n", "Sell: $2708.64 | profit: $66.45\n", "Buy: $2693.13\n", "Buy: $2670.14\n", "Buy: $2670.29\n", "Buy: $2634.56\n", "Sell: $2639.40 | profit: -$16.90\n", "Sell: $2666.94 | profit: -$26.19\n", "Sell: $2669.91 | profit: -$0.23\n", "Buy: $2648.05\n", "Sell: $2654.80 | profit: -$15.49\n", "Buy: $2635.67\n", "Buy: $2629.73\n", "Sell: $2663.42 | profit: $28.86\n", "Sell: $2672.63 | profit: $24.58\n", "Buy: $2671.92\n", "Sell: $2697.79 | profit: $62.12\n", "Sell: $2723.07 | profit: $93.34\n", "Sell: $2727.72 | profit: $55.80\n", "Buy: $2711.45\n", "Sell: $2722.46 | profit: $11.01\n", "Buy: $2720.13\n", "Buy: $2712.97\n", "Sell: $2733.01 | profit: $12.88\n", "Buy: $2724.44\n", "Sell: $2733.29 | profit: $20.32\n", "Buy: $2727.76\n", "Buy: $2721.33\n", "Buy: $2689.86\n", "Sell: $2724.01 | profit: -$0.43\n", "Buy: $2705.27\n", "Sell: $2734.62 | profit: $6.86\n", "Sell: $2746.87 | profit: $25.54\n", "Sell: $2748.80 | profit: $58.94\n", "Sell: $2772.35 | profit: $67.08\n", "Buy: $2770.37\n", "Sell: $2779.03 | profit: $8.66\n", "Buy: $2775.63\n", "Sell: $2782.49 | profit: $6.86\n", "Buy: $2779.66\n", "Buy: $2773.75\n", "Buy: $2762.59\n", "Sell: $2767.32 | profit: -$12.34\n", "Buy: $2749.76\n", "Sell: $2754.88 | profit: -$18.87\n", "Buy: $2717.07\n", "Sell: $2723.06 | profit: -$39.53\n", "Buy: $2699.63\n", "Sell: $2716.31 | profit: -$33.45\n", "Sell: $2718.37 | profit: $1.30\n", "Sell: $2726.71 | profit: $27.08\n", "Buy: $2713.22\n", "Sell: $2736.61 | profit: $23.39\n", "Buy: $2774.02\n", "Sell: $2798.29 | profit: $24.27\n", "Buy: $2798.43\n", "Sell: $2809.55 | profit: $11.12\n", "Buy: $2804.49\n", "Buy: $2801.83\n", "Sell: $2806.98 | profit: $2.49\n", "Sell: $2820.40 | profit: $18.57\n", "Buy: $2837.44\n", "Buy: $2818.82\n", "Buy: $2802.60\n", "Sell: $2816.29 | profit: -$21.15\n", "Buy: $2813.36\n", "Sell: $2827.22 | profit: $8.40\n", "Sell: $2840.35 | profit: $37.75\n", "Sell: $2850.40 | profit: $37.04\n", "Buy: $2857.70\n", "Buy: $2853.58\n", "Buy: $2833.28\n", "Buy: $2821.93\n", "Sell: $2839.96 | profit: -$17.74\n", "Buy: $2818.37\n", "Sell: $2840.69 | profit: -$12.89\n", "Sell: $2850.13 | profit: $16.85\n", "Sell: $2857.05 | profit: $35.12\n", "Sell: $2862.96 | profit: $44.59\n", "Buy: $2861.82\n", "Buy: $2856.98\n", "Sell: $2874.69 | profit: $12.87\n", "Sell: $2896.74 | profit: $39.76\n", "Buy: $2901.13\n", "Sell: $2901.52 | profit: $0.39\n", "Buy: $2896.72\n", "Buy: $2888.60\n", "Buy: $2878.05\n", "Buy: $2871.68\n", "Sell: $2877.13 | profit: -$19.59\n", "Sell: $2887.89 | profit: -$0.71\n", "Sell: $2888.92 | profit: $10.87\n", "Sell: $2904.18 | profit: $32.50\n", "Buy: $2888.80\n", "Sell: $2904.31 | profit: $15.51\n", "Buy: $2929.67\n", "Buy: $2919.37\n", "Buy: $2915.56\n", "Buy: $2905.97\n", "Sell: $2914.00 | profit: -$15.67\n", "Buy: $2913.98\n", "Sell: $2924.59 | profit: $5.22\n", "Buy: $2923.43\n", "Sell: $2925.51 | profit: $9.95\n", "Buy: $2901.61\n", "Buy: $2885.57\n", "Buy: $2884.43\n", "Buy: $2880.34\n", "Buy: $2785.68\n", "Buy: $2728.37\n", "Sell: $2767.13 | profit: -$138.84\n", "Buy: $2750.79\n", "Sell: $2809.92 | profit: -$104.06\n", "Buy: $2809.21\n", "Buy: $2768.78\n", "Buy: $2767.78\n", "Buy: $2755.88\n", "Buy: $2740.69\n", "Buy: $2656.10\n", "Sell: $2705.57 | profit: -$217.86\n", "Buy: $2658.69\n", "Buy: $2641.25\n", "Sell: $2682.63 | profit: -$218.98\n", "Sell: $2711.74 | profit: -$173.83\n", "Sell: $2740.37 | profit: -$144.06\n", "Buy: $2723.06\n", "Sell: $2738.31 | profit: -$142.03\n", "Sell: $2755.45 | profit: -$30.23\n", "Sell: $2813.89 | profit: $85.52\n", "Buy: $2806.83\n", "Buy: $2781.01\n", "Buy: $2726.22\n", "Buy: $2722.18\n", "Buy: $2701.58\n", "Sell: $2730.20 | profit: -$20.59\n", "Sell: $2736.27 | profit: -$72.94\n", "Buy: $2690.73\n", "Buy: $2641.89\n", "Sell: $2649.93 | profit: -$118.85\n", "Buy: $2632.56\n", "Sell: $2673.45 | profit: -$94.33\n", "Sell: $2682.17 | profit: -$73.71\n", "Sell: $2743.79 | profit: $3.10\n", "Buy: $2737.80\n", "Sell: $2760.17 | profit: $104.07\n", "Sell: $2790.37 | profit: $131.68\n", "Buy: $2700.06\n", "Buy: $2695.95\n", "Buy: $2633.08\n", "Sell: $2637.72 | profit: -$3.53\n", "Buy: $2636.78\n", "Sell: $2651.07 | profit: -$71.99\n", "Buy: $2650.54\n", "Buy: $2599.95\n", "Buy: $2545.94\n", "Sell: $2546.16 | profit: -$260.67\n", "Buy: $2506.96\n", "Buy: $2467.42\n", "Buy: $2416.62\n", "Buy: $2351.10\n", "Sell: $2467.70 | profit: -$313.31\n", "Sell: $2488.83 | profit: -$237.39\n", "Buy: $2485.74\n", "Sell: $2506.85 | profit: -$215.33\n", "Sell: $2510.03 | profit: -$191.55\n", "Buy: $2447.89\n", "Sell: $2531.94 | profit: -$158.79\n", "Sell: $2549.69 | profit: -$92.20\n", "Sell: $2574.41 | profit: -$58.15\n", "Sell: $2584.96 | profit: -$152.84\n", "Sell: $2596.64 | profit: -$103.42\n", "Buy: $2596.26\n", "Buy: $2582.61\n", "Sell: $2610.30 | profit: -$85.65\n", "Sell: $2616.10 | profit: -$16.98\n", "Sell: $2635.96 | profit: -$0.82\n", "Sell: $2670.71 | profit: $20.17\n", "Buy: $2632.90\n", "Sell: $2638.70 | profit: $38.75\n", "Sell: $2642.33 | profit: $96.39\n", "Sell: $2664.76 | profit: $157.80\n", "Buy: $2643.85\n", "Buy: $2640.00\n", "Sell: $2681.05 | profit: $213.63\n", "Sell: $2704.10 | profit: $287.48\n", "Sell: $2706.53 | profit: $355.43\n", "Sell: $2724.87 | profit: $239.13\n", "Sell: $2737.70 | profit: $289.81\n", "Buy: $2731.61\n", "Buy: $2706.05\n", "Sell: $2707.88 | profit: $111.62\n", "Sell: $2709.80 | profit: $127.19\n", "Sell: $2744.73 | profit: $111.83\n", "Sell: $2753.03 | profit: $109.18\n", "Buy: $2745.73\n", "Sell: $2775.60 | profit: $135.60\n", "Sell: $2779.76 | profit: $48.15\n", "Sell: $2784.70 | profit: $78.65\n", "Buy: $2774.88\n", "Sell: $2792.67 | profit: $46.94\n", "Sell: $2796.11 | profit: $21.23\n", "Buy: $2793.90\n", "Buy: $2792.38\n", "Buy: $2784.49\n", "Sell: $2803.69 | profit: $9.79\n", "Buy: $2792.81\n", "Buy: $2789.65\n", "Buy: $2771.45\n", "Buy: $2748.93\n", "Buy: $2743.07\n", "Sell: $2783.30 | profit: -$9.08\n", "Sell: $2791.52 | profit: $7.03\n", "Sell: $2810.92 | profit: $18.11\n", "Buy: $2808.48\n", "Sell: $2822.48 | profit: $32.83\n", "Sell: $2832.94 | profit: $61.49\n", "Buy: $2832.57\n", "Buy: $2824.23\n", "Sell: $2854.88 | profit: $105.95\n", "Buy: $2800.71\n", "Buy: $2798.36\n", "Sell: $2818.46 | profit: $75.39\n", "Buy: $2805.37\n", "Sell: $2815.44 | profit: $6.96\n", "Sell: $2834.40 | profit: $1.83\n", "Sell: $2867.19 | profit: $42.96\n", "Buy: $2867.24\n", "Sell: $2873.40 | profit: $72.69\n", "Sell: $2879.39 | profit: $81.03\n", "Sell: $2892.74 | profit: $87.37\n", "Sell: $2895.77 | profit: $28.53\n", "Buy: $2878.20\n", "Sell: $2888.21 | profit: $10.01\n", "Buy: $2888.32\n", "Sell: $2907.41 | profit: $19.09\n", "Buy: $2905.58\n", "Sell: $2907.06 | profit: $1.48\n", "Buy: $2900.45\n", "Sell: $2905.03 | profit: $4.58\n", "Buy: $2927.25\n", "Buy: $2926.17\n", "Sell: $2939.88 | profit: $12.63\n", "Sell: $2943.03 | profit: $16.86\n", "Buy: $2923.73\n", "Buy: $2917.52\n", "Sell: $2945.64 | profit: $21.91\n", "Buy: $2932.47\n", "Buy: $2884.05\n", "Buy: $2879.42\n", "Buy: $2870.72\n", "Sell: $2881.40 | profit: -$36.12\n", "Buy: $2811.87\n", "Sell: $2834.41 | profit: -$98.06\n", "Sell: $2850.96 | profit: -$33.09\n", "Sell: $2876.32 | profit: -$3.10\n", "Buy: $2859.53\n", "Buy: $2840.23\n", "Sell: $2864.36 | profit: -$6.36\n", "Buy: $2856.27\n", "Buy: $2822.24\n", "Sell: $2826.06 | profit: $14.19\n", "Buy: $2802.39\n", "Buy: $2783.02\n", "Sell: $2788.86 | profit: -$70.67\n", "Buy: $2752.06\n", "Buy: $2744.45\n", "Sell: $2803.27 | profit: -$36.96\n", "Sell: $2826.15 | profit: -$30.12\n", "Sell: $2843.49 | profit: $21.25\n", "Sell: $2873.34 | profit: $70.95\n", "Sell: $2886.73 | profit: $103.71\n", "Buy: $2885.72\n", "Buy: $2879.84\n", "Sell: $2891.64 | profit: $139.58\n", "Buy: $2886.98\n", "Sell: $2889.67 | profit: $145.22\n", "Sell: $2917.75 | profit: $32.03\n", "Sell: $2926.46 | profit: $46.62\n", "Sell: $2954.18 | profit: $67.20\n", "Buy: $2950.46\n", "Buy: $2945.35\n", "Buy: $2917.38\n", "Buy: $2913.78\n", "Sell: $2924.92 | profit: -$25.54\n", "Sell: $2941.76 | profit: -$3.59\n", "Sell: $2964.33 | profit: $46.95\n", "Sell: $2973.01 | profit: $59.23\n", "Buy: $2990.41\n", "Buy: $2975.95\n", "Sell: $2979.63 | profit: -$10.78\n", "Sell: $2993.07 | profit: $17.12\n", "Buy: $3004.04\n", "Buy: $2984.42\n", "Sell: $2995.11 | profit: -$8.93\n", "Buy: $2976.61\n", "Sell: $2985.03 | profit: $0.61\n", "Sell: $3005.47 | profit: $28.86\n", "Buy: $3003.67\n", "Sell: $3025.86 | profit: $22.19\n", "Buy: $3020.97\n", "Buy: $3013.18\n", "Buy: $2980.38\n", "Buy: $2953.56\n", "Buy: $2932.05\n", "Buy: $2844.74\n", "Sell: $2881.77 | profit: -$139.20\n", "Sell: $2883.98 | profit: -$129.20\n", "Sell: $2938.09 | profit: -$42.29\n", "Buy: $2918.65\n", "Buy: $2882.70\n", "Sell: $2926.32 | profit: -$27.24\n", "Buy: $2840.60\n", "Sell: $2847.60 | profit: -$84.45\n", "Sell: $2888.68 | profit: $43.94\n", "Sell: $2923.65 | profit: $5.00\n", "Buy: $2900.51\n", "Sell: $2924.43 | profit: $41.73\n", "Buy: $2922.95\n", "Buy: $2847.11\n", "Sell: $2878.38 | profit: $37.78\n", "Buy: $2869.16\n", "Sell: $2887.94 | profit: -$12.57\n", "Sell: $2924.58 | profit: $1.63\n", "Sell: $2926.46 | profit: $79.35\n", "Buy: $2906.27\n", "Sell: $2937.78 | profit: $68.62\n", "Sell: $2976.00 | profit: $69.73\n", "Buy: $2978.43\n", "Sell: $2979.39 | profit: $0.96\n", "Buy: $3007.39\n", "Buy: $2997.96\n", "Sell: $3005.70 | profit: -$1.69\n", "Sell: $3006.73 | profit: $8.77\n", "Buy: $3006.79\n", "Buy: $2992.07\n", "Buy: $2991.78\n", "Buy: $2966.60\n", "Sell: $2984.87 | profit: -$21.92\n", "Buy: $2977.62\n", "Buy: $2961.79\n", "Sell: $2976.74 | profit: -$15.33\n", "Buy: $2940.25\n", "Buy: $2887.61\n", "Sell: $2910.63 | profit: -$81.15\n", "Sell: $2952.01 | profit: -$14.59\n", "Buy: $2938.79\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Buy: $2893.06\n", "Sell: $2919.40 | profit: -$58.22\n", "Sell: $2938.13 | profit: -$23.66\n", "Sell: $2970.27 | profit: $30.02\n", "Buy: $2966.15\n", "Sell: $2995.68 | profit: $108.07\n", "Buy: $2989.69\n", "Sell: $2997.95 | profit: $59.16\n", "Buy: $2986.20\n", "Sell: $3006.72 | profit: $113.66\n", "Buy: $2995.99\n", "Sell: $3004.52 | profit: $38.37\n", "Sell: $3010.29 | profit: $20.60\n", "Sell: $3022.55 | profit: $36.35\n", "Sell: $3039.42 | profit: $43.43\n", "Buy: $3036.89\n", "Sell: $3046.77 | profit: $9.88\n", "Buy: $3037.56\n", "Sell: $3066.91 | profit: $29.35\n", "Buy: $3074.62\n", "Sell: $3076.78 | profit: $2.16\n", "Buy: $3087.01\n", "Sell: $3091.84 | profit: $4.83\n", "Buy: $3120.18\n", "Buy: $3108.46\n", "Buy: $3103.54\n", "Sell: $3110.29 | profit: -$9.89\n", "Sell: $3133.64 | profit: $25.18\n", "Sell: $3140.52 | profit: $36.98\n", "Buy: $3140.98\n", "Buy: $3113.87\n", "Buy: $3093.20\n", "Sell: $3112.76 | profit: -$28.22\n", "Sell: $3117.43 | profit: $3.56\n", "Sell: $3145.91 | profit: $52.71\n", "Buy: $3135.96\n", "Buy: $3132.52\n", "Sell: $3141.63 | profit: $5.67\n", "Sell: $3168.57 | profit: $36.05\n", "Buy: $3191.14\n", "Sell: $3205.37 | profit: $14.23\n", "Buy: $3223.38\n", "Sell: $3239.91 | profit: $16.53\n", "Buy: $3240.02\n", "Buy: $3221.29\n", "------------------------------------------\n", "Total Profit: $1280.40\n", "------------------------------------------\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x360 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for t in range(l_test):\n", " action = agent.act(state)\n", " #print(action)\n", " #set_trace()\n", " next_state = getState(test_data, t + 1, window_size + 1)\n", " reward = 0\n", "\n", " if action == 1:\n", " agent.inventory.append(test_data[t])\n", " states_buy_test.append(t)\n", " print(\"Buy: \" + formatPrice(test_data[t]))\n", "\n", " elif action == 2 and len(agent.inventory) > 0:\n", " bought_price = agent.inventory.pop(0)\n", " reward = max(test_data[t] - bought_price, 0)\n", " #reward = test_data[t] - bought_price\n", " total_profit += test_data[t] - bought_price\n", " states_sell_test.append(t)\n", " print(\"Sell: \" + formatPrice(test_data[t]) + \" | profit: \" + formatPrice(test_data[t] - bought_price))\n", "\n", " if t == l_test - 1:\n", " done = True\n", " agent.memory.append((state, action, reward, next_state, done))\n", " state = next_state\n", "\n", " if done:\n", " print(\"------------------------------------------\")\n", " print(\"Total Profit: \" + formatPrice(total_profit))\n", " print(\"------------------------------------------\")\n", " \n", "plot_behavior(test_data,states_buy_test, states_sell_test, total_profit)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking at the results above, our model resulted in an overall profit of $1280, and we can say that our DQN agent performs quite well on the test set. However, the performance of the model can be further improved by optimizing the hyperparameters as discussed in the model tuning section before. Also, given high complexity and low interpretability of the model, ideally there should be more tests conducted on different time periods before deploying the model for live trading." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Conclusion**\n", "\n", "We observed that we don’t have to decide the strategy or policy\n", "for trading. The algorithm decides the policy by itself, and the overall approach is\n", "much simpler and more principled than the supervised learning-based approach. \n", "\n", "The\n", "policy can be parameterized by a complex model, such as a deep neural network, and\n", "we can learn policies that are more complex and powerful than any rules a human\n", "trader.\n", "\n", "We used the testing set to evaluate the model and found an overall profit in the test set." ] } ], "metadata": { "_change_revision": 206, "_is_fork": false, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }