Machine Learning and Deep Learning Algorithm Trading, How to Build GANs Using TensorFlow 2

1. Introduction

In recent years, advances in artificial intelligence and machine learning technologies have made significant progress, and their importance is growing in the financial market, especially in the field of algorithmic trading. In this course, we will cover how to use a model of deep learning known as Generative Adversarial Network (GAN) to generate data and establish trading strategies based on that data. We will particularly provide a step-by-step guide on how to build a GAN using TensorFlow 2.

2. Basic Concepts of GAN

A GAN consists of two neural networks, namely the Generator and the Discriminator. The Generator creates fake data that looks like real data, while the Discriminator determines whether the data is real or generated by the Generator. These two neural networks compete against each other in learning, allowing the Generator to produce data that is more similar to the real data.

2.1. Structure of GAN

The basic structure of a GAN is as follows:

  • Generator: Takes a random noise vector as input and generates fake data.
  • Discriminator: Determines whether the input data is real or fake.

2.2. Learning Process of GAN

The learning process of a GAN generally involves the following steps:

  1. The Generator generates data from random noise.
  2. The Discriminator compares real data with data generated by the Generator.
  3. The Discriminator assigns a high score to data classified as real and a low score to fake data.
  4. Each neural network learns from each other through their loss functions.

3. Implementing GAN using TensorFlow 2

Now, let’s implement GAN using TensorFlow 2. In this process, we will explain the basic components of a GAN and explore how to apply it to financial data.

3.1. Environment Setup

Install TensorFlow 2 and other necessary libraries. You can install them using the following command:

pip install tensorflow numpy matplotlib

3.2. Loading Data

To obtain stock market data, public APIs like Yahoo Finance API can be used. Below is the method for loading and preprocessing the data.

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import yfinance as yf

# Load stock data
data = yf.download("AAPL", start="2010-01-01", end="2020-01-01")
data = data['Close'].values.reshape(-1, 1)
data = (data - np.mean(data)) / np.std(data)  # Normalization

3.3. Building GAN Model

Now it’s time to build the Generator and Discriminator of the GAN. Let’s implement a simple model using TensorFlow Keras API.

import tensorflow as tf
from tensorflow.keras import layers

# Generator model
def build_generator():
    model = tf.keras.Sequential()
    model.add(layers.Dense(128, activation='relu', input_shape=(100,)))
    model.add(layers.Dense(256, activation='relu'))
    model.add(layers.Dense(512, activation='relu'))
    model.add(layers.Dense(1, activation='tanh'))  # Stock data is normalized from -1 to 1
    return model

# Discriminator model
def build_discriminator():
    model = tf.keras.Sequential()
    model.add(layers.Dense(512, activation='relu', input_shape=(1,)))
    model.add(layers.Dense(256, activation='relu'))
    model.add(layers.Dense(1, activation='sigmoid'))
    return model

generator = build_generator()
discriminator = build_discriminator()

3.4. Training GAN

We will set up the necessary loss functions and optimizers to train the GAN and structure the training loop.

loss_fn = tf.keras.losses.BinaryCrossentropy()
generator_optimizer = tf.keras.optimizers.Adam(1e-4)
discriminator_optimizer = tf.keras.optimizers.Adam(1e-4)

# GAN training loop
def train_gan(epochs, batch_size):
    for epoch in range(epochs):
        for _ in range(batch_size):
            noise = np.random.normal(0, 1, size=(batch_size, 100))
            generated_data = generator(noise)

            idx = np.random.randint(0, data.shape[0], batch_size)
            real_data = data[idx]

            with tf.GradientTape() as disc_tape:
                real_output = discriminator(real_data)
                fake_output = discriminator(generated_data)

                disc_loss = loss_fn(tf.ones_like(real_output), real_output) + \
                            loss_fn(tf.zeros_like(fake_output), fake_output)

            gradients = disc_tape.gradient(disc_loss, discriminator.trainable_variables)
            discriminator_optimizer.apply_gradients(zip(gradients, discriminator.trainable_variables))

            with tf.GradientTape() as gen_tape:
                fake_output = discriminator(generated_data)
                gen_loss = loss_fn(tf.ones_like(fake_output), fake_output)

            gradients = gen_tape.gradient(gen_loss, generator.trainable_variables)
            generator_optimizer.apply_gradients(zip(gradients, generator.trainable_variables))

        if epoch % 100 == 0:
            print(f'Epoch {epoch} - Discriminator Loss: {disc_loss.numpy()} - Generator Loss: {gen_loss.numpy()}')

train_gan(epochs=10000, batch_size=32)

4. Analysis of GAN Results

After completing the training, we will visualize and analyze how similar the generated data is to the real data.

def plot_generated_data(generator, num_samples=1000):
    noise = np.random.normal(0, 1, size=(num_samples, 100))
    generated_data = generator(noise)

    plt.figure(figsize=(10, 5))
    plt.plot(generated_data, label='Generated Data')
    plt.plot(data[0:num_samples], label='Real Data')
    plt.legend()
    plt.show()

plot_generated_data(generator)

5. Conclusion

In this course, we explored how to generate stock market data using machine learning and deep learning-based Generative Adversarial Networks and how to develop potential trading strategies based on this data. GANs are effective for various data generation tasks and can be very useful in algorithmic trading. We recommend further exploring the possibilities in this field through more advanced models and techniques.

6. References

Machine Learning and Deep Learning Algorithm Trading, Skip-Gram Architecture Using TensorFlow 2

Today’s financial markets are complex and rapidly changing. In this environment, machine learning and deep learning have established themselves as useful tools for enhancing trading strategies, enabling better predictions, and executing trades automatically. In this course, we will explore how to learn patterns from financial data using one of the deep learning algorithms, the Skip-gram model, and how to implement algorithmic trading based on this.

1. Understanding Machine Learning and Deep Learning

1.1 What is Machine Learning?

Machine learning is a technology that enables predictions about new data by learning patterns from existing data. Algorithms learn from data and build predictive models to solve various problems. Stock trading is one of the fields where such machine learning techniques can be effectively applied.

1.2 The Necessity of Deep Learning

Deep learning excels at processing data and recognizing complex patterns using artificial neural networks. With the advancement of large-scale datasets and powerful computational capabilities, deep learning is being used in image recognition, natural language processing, and financial market analysis.

2. Overview of the Skip-gram Model

The Skip-gram model is a form of the Word2Vec algorithm used to learn the relationships between words and their contexts. It predicts surrounding words from a given word, which can be applied not only in natural language processing but also in recognizing patterns in financial data. The Skip-gram model transforms high-dimensional data into lower-dimensional representations to generate meaningful vector representations.

2.1 How the Skip-gram Works

Skip-gram is a model that predicts surrounding words when a specific word is given. For example, from the word “stock,” it can predict words like “trade,” “price,” and “volatility.” It identifies closely related words and maps them to a vector space.

3. Applying Skip-gram to Financial Data

The method of applying the Skip-gram model to financial data is as follows. First, a stock trading dataset must be used as input for the model. The data may include stock prices, trading volumes, and textual data such as news articles. This helps in understanding the characteristics of stocks or related issues.

3.1 Data Preparation

Collect stock price data and related textual data, and refine it to create a training dataset. This process requires handling missing values, normalization, and feature engineering. For example, analyzing the correlation between variables and selecting important features is crucial.

3.2 Implementing the Skip-gram Model

Now, let’s implement the Skip-gram model using TensorFlow 2. Below is basic code to create the Skip-gram model:


import tensorflow as tf
from tensorflow.keras.preprocessing.text import Tokenizer
from tensorflow.keras.preprocessing.sequence import skipgrams
import numpy as np

# Data preparation
sentences = ["Stocks have volatility", "Stocks with increasing volume gain attention"]
tokenizer = Tokenizer()
tokenizer.fit_on_texts(sentences)
word_index = tokenizer.word_index

# Create Skip-grams
pairs, labels = skipgrams(tokenizer.texts_to_sequences(sentences)[0], vocabulary_size=len(word_index)+1, window_size=2)

print("Pairs:", pairs)
print("Labels:", labels)

4. Model Training and Evaluation

To train the Skip-gram model, we optimize the model by adjusting tunable parameters from the given data. We set the loss function and optimization algorithm, and determine an appropriate number of epochs to train the model. Then, we evaluate the model’s performance with validation data.

4.1 Building the Model

Now, let’s look at how to build a Skip-gram model using artificial neural networks:


from tensorflow.keras.layers import Embedding, Input, Dot, Reshape
from tensorflow.keras.models import Model

embedding_dim = 100

# Input layers
input_word = Input((1,))
input_context = Input((1,))

# Embedding layers
word_embedding = Embedding(input_dim=len(word_index)+1, output_dim=embedding_dim, input_length=1)(input_word)
context_embedding = Embedding(input_dim=len(word_index)+1, output_dim=embedding_dim, input_length=1)(input_context)

# Dot Product
dot_product = Dot(axes=2)([word_embedding, context_embedding])
reshape = Reshape((1,))(dot_product)

# Define the model
model = Model(inputs=[input_word, input_context], outputs=reshape)
model.compile(optimizer='adam', loss='binary_crossentropy')

5. Application in Algorithmic Trading

Based on the Skip-gram model we have learned, we can develop stock trading algorithms. By utilizing the model’s output, we can generate buy and sell signals for specific stocks, creating an automated trading system based on these signals. Decisions to buy and sell are made based on the embeddings generated by the model.

5.1 Designing Trading Strategies

When designing trading strategies, consider the following elements:

  • Signal generation: Create buy and sell signals through the outputs of the Skip-gram model.
  • Position management: Decide to hold after buying for a fixed period or determine the selling point.
  • Risk management: Set rules for limiting losses and realizing profits.

5.2 Backtesting

We conduct backtesting to validate the effectiveness of the trading strategy designed. Using historical data, we simulate the strategy and analyze performance metrics such as profit-loss ratios and maximum drawdown.

5.3 Real-time Trading

Once the model’s performance is confirmed, we can build a system that executes trades automatically through real-time data streaming. This requires connecting with exchanges using APIs.

6. Conclusion

In this course, we explored the basic concepts of machine learning and deep learning algorithmic trading, as well as the Skip-gram architecture using TensorFlow 2. To understand the complexities of financial markets and make data-driven decisions, it is essential to utilize machine learning technologies in trading strategies. We encourage further research and experimentation with various algorithms based on this knowledge.

7. References

Machine Learning and Deep Learning Algorithm Trading, TimeGAN Implementation Using TensorFlow 2

Algorithmic trading in financial markets is becoming increasingly important, and machine learning and deep learning techniques play a significant role in this field. Consequently, the importance of data generation and modeling over time is emphasized. In this article, we will discuss a method for generating financial data based on TimeGAN (Generative Adversarial Network). We will primarily explain the steps and code necessary to perform these tasks using TensorFlow 2.

1. The Relationship Between Algorithmic Trading and Machine Learning

Algorithmic trading refers to the automatic establishment of trading decisions by tracking ratios and price patterns. This process can be further refined through machine learning. Machine learning and deep learning have emerged as powerful tools for price prediction, and many traders are utilizing these technologies.

1.1 Basic Concepts of Machine Learning

Machine learning is a technique that recognizes patterns and makes predictions through data, and various algorithms exist. Commonly used algorithms include:

  • Linear Regression
  • Support Vector Machines
  • Decision Trees
  • Random Forests
  • Neural Networks

1.2 Advances in Deep Learning

Deep learning is a subfield of machine learning that uses deep neural networks to handle complex data structures. In recent years, it has been successfully applied in image and text data processing, showing potential in financial data analysis as well.

2. What is TimeGAN?

TimeGAN (Time-series Generative Adversarial Network) is a GAN-based model proposed for generating time series data. It is designed to consider the characteristics of time series data, focusing on maintaining patterns over long periods, which is a limitation of traditional GAN models.

2.1 Structure of TimeGAN

TimeGAN incorporates several elements that preserve the contextual information of time series data in addition to the general GAN structure. The two main components of a typical GAN are as follows:

  • Generator: Takes random noise as input to generate time series data.
  • Discriminator: Performs the role of distinguishing between real and generated data.

2.2 Features of TimeGAN

  • A structure that ensures temporal continuity
  • Expansion of data diversity through sampling in latent space
  • Learning of unique patterns in time series data

3. Environment Setup for Implementing TimeGAN

This blog post explains how to implement the TimeGAN model based on TensorFlow 2.x. To do this, a Python environment is needed, and the necessary libraries must be installed.

3.1 Installing Required Libraries

pip install tensorflow pandas numpy matplotlib

3.2 Preparing the Dataset

Since TimeGAN is primarily applied to time series data, actual financial data can be used. Stock data can be downloaded and preprocessed through the Yahoo Finance API. For instance, you can download and use Apple (AAPL) stock data.


import pandas as pd
import numpy as np

# Download stock data
data = pd.read_csv('AAPL.csv')
data.head()

4. Implementing the TimeGAN Model

Now we will implement the TimeGAN model in earnest. Below is the code that defines the basic structure of TimeGAN.

4.1 Defining the Generator and Discriminator Models


import tensorflow as tf
from tensorflow.keras import layers

def build_generator(latent_dim):
    model = tf.keras.Sequential()
    model.add(layers.Dense(100, activation='relu', input_dim=latent_dim))
    model.add(layers.Dense(200, activation='relu'))
    model.add(layers.Dense(300, activation='relu'))
    model.add(layers.Dense(1, activation='tanh')) 
    return model

def build_discriminator():
    model = tf.keras.Sequential()
    model.add(layers.Dense(300, activation='relu', input_shape=(1,)))
    model.add(layers.Dense(200, activation='relu'))
    model.add(layers.Dense(100, activation='relu'))
    model.add(layers.Dense(1, activation='sigmoid')) 
    return model

4.2 Setting Up the Training Loop

A training loop must be set up for the learning of the generator and discriminator. The Adam Optimizer is used to efficiently train the model.


def train_timegan(generator, discriminator, epochs, batch_size):
    for epoch in range(epochs):
        # Generate batch data and train the discriminator
        noise = np.random.normal(0, 1, size=(batch_size, latent_dim))
        generated_data = generator.predict(noise)
        
        combined_data = np.concatenate([real_data, generated_data])
        labels = np.concatenate([np.ones((real_data.shape[0], 1)), np.zeros((generated_data.shape[0], 1))])

        # Train the discriminator
        discriminator.train_on_batch(combined_data, labels)

        # Train the generator
        noise = np.random.normal(0, 1, size=(batch_size, latent_dim))
        misleading_labels = np.ones((batch_size, 1)) # To confuse the generator
        generator.train_on_batch(noise, misleading_labels)

5. Results and Validation

After training the model, we evaluate its performance by comparing the generated data with real data. For this, Matplotlib can be used to plot graphs for visualization.


import matplotlib.pyplot as plt

# Compare real data with generated data
plt.figure(figsize=(10, 5))
plt.plot(real_data, label='Real Data', color='blue')
plt.plot(generated_data, label='Generated Data', color='red')
plt.legend()
plt.show()

6. Conclusion

In this article, we emphasized the need for generating financial data through machine learning and deep learning and guided the method of generating time series data using the TimeGAN model. We implemented these techniques using TensorFlow 2, evaluating performance through comparison and validation with real data. Future research will require applications to more complex datasets and various trading algorithms.

6.1 Future Research Directions

Continued research into utilizing TimeGAN and similar models in the financial sector is essential, applying new types of data and various trading strategies to enhance efficiency. Additionally, measures to prevent black box behavior, considering the interpretability of the learned models, should also be researched.

Dear readers, I hope this article has been helpful in understanding algorithmic trading based on machine learning and deep learning. I wish you success as a trader in the financial markets through continuous research and development.

Machine Learning and Deep Learning Algorithm Trading, How to Use TensorFlow 2

This article explains the basics to advanced concepts of algorithmic trading using machine learning and deep learning. It covers how to develop and experiment with trading strategies in real financial markets using TensorFlow 2.

1. Introduction

In recent years, machine learning and deep learning technologies have rapidly advanced in the financial markets. Now, traders are making better investment decisions through data and algorithms rather than relying on human intuition. This article describes how to implement the basic techniques and algorithms required for algorithmic trading using TensorFlow 2.

2. Understanding Machine Learning and Deep Learning

2.1 Basic Concepts of Machine Learning

Machine learning is a field that studies algorithms that learn from data to make predictions or decisions. In the data-rich financial market, machine learning techniques can analyze historical data to predict future price movements.

2.2 Basic Concepts of Deep Learning

Deep learning is a subfield of machine learning that maximizes data analysis using artificial neural networks. It excels in recognizing patterns in high-dimensional data and learning complex data relationships. Thanks to these characteristics, deep learning is effective in handling the non-linearity of financial data.

3. Installing and Setting Up TensorFlow 2

TensorFlow 2 can be installed in Python and is available on various platforms. Below is how to install it.

pip install tensorflow

Once the installation is complete, you can set up a basic environment to conduct initial tests.

4. Overview of Algorithmic Trading

Algorithmic trading is the process of making trading decisions using computer programs. This can be done in several ways, primarily divided into two types:

  • Rule-based trading
  • Data-driven trading (machine learning and deep learning)

Rule-based trading is a traditional method based on human experience and rules. In contrast, data-driven trading involves learning trading rules by analyzing data. This article focuses on the latter method.

5. Data Collection and Preprocessing

5.1 Data Collection Methods

Data collection is essential for developing trading strategies. Data can be collected through various methods, typically through APIs for real-time or historical data. For instance, stock price data can be collected via the Yahoo Finance API.

5.2 Data Preprocessing

Raw data often contains noise or is incomplete. Therefore, data preprocessing is crucial. Common preprocessing steps include:

  • Handling missing values
  • Normalization and standardization
  • Feature selection and generation

These preprocessing tasks can improve the model’s performance.

6. Model Selection

Model selection is very important in algorithmic trading. Here are a few examples of machine learning and deep learning models suitable for financial data:

  • Linear regression
  • Decision trees and random forests
  • LSTM (Long Short-Term Memory) networks
  • CNN (Convolutional Neural Networks)

Each model exhibits different performance on specific types of data. Therefore, an appropriate model should be chosen based on the characteristics of the data and the type of problem.

7. Model Implementation

7.1 Implementing LSTM with TensorFlow 2

LSTM is a deep learning model that performs strongly on time series data. Below is a simple example of LSTM model implementation using TensorFlow 2:


import tensorflow as tf
from tensorflow import keras

# Build LSTM model
model = keras.Sequential()
model.add(keras.layers.LSTM(50, input_shape=(timesteps, features)))
model.add(keras.layers.Dense(1))

model.compile(loss='mean_squared_error', optimizer='adam')
        

The data required to train this model should be appropriately preprocessed time series data.

8. Model Training

Divide the training data and validation data to train the model. During training, appropriate hyperparameters should be selected.

Below is an example of training code:


history = model.fit(train_data, train_labels, epochs=100, validation_data=(val_data, val_labels))
        

The loss and accuracy during the training process are important indicators of the learning process. These can be used to evaluate the model’s performance.

9. Model Evaluation and Tuning

Separate test data is used to evaluate the performance of the trained model. Commonly, metrics such as RMSE (Root Mean Squared Error) are used to measure the model’s performance.

If the model does not demonstrate sufficient performance, performance improvement can be attempted through hyperparameter tuning or model architecture modification.

10. Building an Algorithmic Trading System

If the model is trained and the performance is satisfactory through evaluation, this model can be integrated into an algorithmic trading system. A system will be built to make automatic trading decisions based on stock data and model outputs.

11. Conclusion

The process of building an algorithmic trading system based on machine learning and deep learning using TensorFlow 2 is an exciting and challenging experience. Through this tutorial, I hope that readers will gain a foundational understanding of financial data analysis and acquire the basic knowledge to build their own trading strategies.

© 2023 Algorithmic Trading Blog. All rights reserved.

Machine Learning and Deep Learning Algorithm Trading, Implementing Autoencoders with TensorFlow 2

Today, financial markets generate enormous amounts of data. This provides investors with more information, but at the same time, analyzing and utilizing that data effectively is becoming increasingly difficult. In such cases, machine learning and deep learning algorithms can be of help.

This article will explain how to implement an autoencoder using TensorFlow 2. An autoencoder is a type of unsupervised learning algorithm that compresses input data and reconstructs it. It is useful for understanding the characteristics of financial data and detecting abnormal patterns or outliers.

1. What is an Autoencoder?

An autoencoder works by encoding the input data into a lower dimension and then decoding it back to the original dimension. Typically, the dimension of the hidden layer is smaller than that of the input layer, allowing the network to learn the significant characteristics of the input data.

1.1 Basic Structure

The structure of an autoencoder can mainly be divided into three parts:

  • Encoder: Compresses the input data into a low-dimensional vector.
  • Decoder: Restores the compressed vector back to the original input data.
  • Loss Function: Measures the difference between the original input and the reconstructed output.

1.2 Applications of Autoencoders

Autoencoders can be utilized for various purposes such as:

  • Dimensionality Reduction
  • Noise Reduction
  • Anomaly Detection

2. How Autoencoders Work

Autoencoders encode the input and then decode the encoded representation to reconstruct the input. During this process, the network learns the important features of the input.

Below is a basic learning process of an autoencoder:


1. Pass the input data to the network.
2. The encoder compresses the input into a low dimension.
3. The decoder transforms the compressed data back to the original dimension.
4. Calculate the loss: the difference between the original input and the reconstructed output.
5. Weight adjustments in the neural network are made to reduce the loss.

3. Implementing an Autoencoder with TensorFlow 2

3.1 Environment Setup

First, you need to install TensorFlow 2 and the required packages. Execute the command below to install the necessary libraries.

pip install numpy pandas tensorflow matplotlib

3.2 Data Preparation

Now you need to load and preprocess the financial data to be used. Here, we will use simple stock price data as an example.


import pandas as pd

# Load data from CSV file
data = pd.read_csv('stock_data.csv')

# Select necessary columns (e.g., 'Close' price)
prices = data['Close'].values
prices = prices.reshape(-1, 1)  # Convert to 2D format

3.3 Defining the Autoencoder Model

Next, we define the structure of the autoencoder. We will implement both the encoder and the decoder.


import tensorflow as tf
from tensorflow.keras import layers, models

# Define the autoencoder model
def build_autoencoder():
    input_layer = layers.Input(shape=(1,))
    
    # Encoder part
    encoded = layers.Dense(32, activation='relu')(input_layer)
    encoded = layers.Dense(16, activation='relu')(encoded)
    
    # Decoder part
    decoded = layers.Dense(32, activation='relu')(encoded)
    decoded = layers.Dense(1, activation='linear')(decoded)
    
    autoencoder = models.Model(input_layer, decoded)
    return autoencoder

# Create the model
autoencoder = build_autoencoder()
autoencoder.compile(optimizer='adam', loss='mean_squared_error')

3.4 Training the Model

To train the model, we will split the data into training and testing sets and then train the model.


from sklearn.model_selection import train_test_split

# Split into training and testing sets
X_train, X_test = train_test_split(prices, test_size=0.2, random_state=42)

# Train the model
history = autoencoder.fit(X_train, X_train,
                          epochs=100,
                          batch_size=32,
                          validation_data=(X_test, X_test))

3.5 Visualizing the Results

You can visualize the training process of the model to observe the changes in loss.


import matplotlib.pyplot as plt

plt.plot(history.history['loss'], label='Train Loss')
plt.plot(history.history['val_loss'], label='Validation Loss')
plt.xlabel('Epochs')
plt.ylabel('Loss')
plt.legend()
plt.title('Autoencoder Model Loss')
plt.show()

3.6 Performing Anomaly Detection

Using the model, you can detect outliers in the input data. After making predictions for the test data, you can calculate the differences compared to the original data.


# Perform predictions
predicted = autoencoder.predict(X_test)

# Calculate reconstruction errors
reconstruction_error = tf.reduce_mean(tf.square(X_test - predicted), axis=1)

# Set a threshold and detect anomalies
threshold = 0.1  # Adjust this value as needed
anomalies = reconstruction_error > threshold

# Print indices of detected anomalies
print("Detected anomalies at indices:", tf.where(anomalies).numpy().flatten())

4. Advantages and Disadvantages of Autoencoders

4.1 Advantages

  • Unsupervised Learning: Can learn from unlabeled data.
  • Feature Extraction: Automatically learns important data patterns.
  • Provides faster training times with a more concise structure compared to other models.

4.2 Disadvantages

  • Overfitting: Can overfit when there is a small amount of data.
  • Reconstruction Quality: It can be difficult to reconstruct high-dimensional data appropriately.

5. Conclusion

Through this article, we have learned about the implementation and applications of autoencoders using TensorFlow 2. Autoencoders can be a useful tool in financial data analysis, helping to understand the main features of data and detect outliers.

In the future, it may be beneficial to expand autoencoders into more complex structures to experiment with deep learning models or apply them to various financial data. The influence of machine learning and deep learning in the financial sector is rapidly increasing, allowing for the development of more efficient trading strategies.

Finally, utilizing the learned autoencoders to develop actual trading strategies and pursue potential profits can also be a rewarding challenge.