MathFeature: A Comprehensive Package for Mathematical Descriptors

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We will apply the Random Forest (RF) algorithm to transform the data using MathFeature’s CN and AAC descriptors, followed by a 10-fold cross-validation for model assessment.
First, we need to install MathFeature via pip:

# Install MathFeature via pip
# -m flag added to ensure pip is run as a module
# -q flag added to suppress output

pip install -m -q mathfeature

# Transform data using RF algorithm with CN and AAC descriptors
# -o flag added to specify output file
# -i flag added to specify input file
# -a flag added to specify algorithm (RF)
# -d flag added to specify descriptors (CN and AAC)
# -t flag added to specify transformation
mathfeature -o output.csv -i input.csv -a RF -d CN,AAC -t

# Perform 10-fold cross-validation for model assessment
# -c flag added to specify cross-validation
# -f flag added to specify number of folds (10)
mathfeature -o output.csv -i input.csv -a RF -d CN,AAC -c -f 10

Next, let us import the necessary libraries:

# Import necessary libraries
import pandas as pd # Importing pandas library and assigning it an alias "pd"
from sklearn.model_selection import train_test_split # Importing train_test_split function from sklearn.model_selection library
from sklearn.metrics import accuracy_score, f1_score, matthews_corrcoef # Importing accuracy_score, f1_score, and matthews_corrcoef functions from sklearn.metrics library
from mathfeature.preprocessing import Preprocessor # Importing Preprocessor class from mathfeature.preprocessing module
from mathfeature.extraction import Extractor # Importing Extractor class from mathfeature.extraction module
import mathfeature as mf # Importing mathfeature library and assigning it an alias "mf"

# Explanation: The above code imports necessary libraries and functions for data preprocessing, feature extraction, and performance evaluation.

# Next, let's define a function to load and preprocess the data
def load_and_preprocess_data(data_path): # Defining a function named "load_and_preprocess_data" that takes in a parameter "data_path"
    # Load data using pandas
    data = pd.read_csv(data_path) # Using the read_csv function from pandas library to load data from the specified data path and assigning it to a variable "data"
    
    # Preprocess data using Preprocessor class
    preprocessor = Preprocessor() # Creating an instance of the Preprocessor class and assigning it to a variable "preprocessor"
    preprocessed_data = preprocessor.preprocess(data) # Using the preprocess method from the Preprocessor class to preprocess the data and assigning it to a variable "preprocessed_data"
    
    return preprocessed_data # Returning the preprocessed data

# Explanation: The above code defines a function to load and preprocess data using the Preprocessor class.

# Now, let's extract features from the preprocessed data
def extract_features(data): # Defining a function named "extract_features" that takes in a parameter "data"
    # Extract features using Extractor class
    extractor = Extractor() # Creating an instance of the Extractor class and assigning it to a variable "extractor"
    features = extractor.extract(data) # Using the extract method from the Extractor class to extract features from the data and assigning it to a variable "features"
    
    return features # Returning the extracted features

# Explanation: The above code defines a function to extract features from the preprocessed data using the Extractor class.

# Now, let's split the data into training and testing sets
def split_data(features, labels): # Defining a function named "split_data" that takes in two parameters "features" and "labels"
    # Split data using train_test_split function
    X_train, X_test, y_train, y_test = train_test_split(features, labels, test_size=0.2, random_state=42) # Using the train_test_split function to split the features and labels into training and testing sets with a test size of 20% and a random state of 42
    
    return X_train, X_test, y_train, y_test # Returning the training and testing sets

# Explanation: The above code defines a function to split the data into training and testing sets using the train_test_split function.

# Now, let's train a model and make predictions on the testing set
def train_and_predict(X_train, X_test, y_train, y_test): # Defining a function named "train_and_predict" that takes in four parameters "X_train", "X_test", "y_train", and "y_test"
    # Train a model using mathfeature library
    model = mf.train(X_train, y_train) # Using the train function from the mathfeature library to train a model using the training data and assigning it to a variable "model"
    
    # Make predictions on the testing set
    y_pred = model.predict(X_test) # Using the predict method from the trained model to make predictions on the testing set and assigning it to a variable "y_pred"
    
    # Evaluate model performance using accuracy, f1-score, and Matthews correlation coefficient
    accuracy = accuracy_score(y_test, y_pred) # Using the accuracy_score function to calculate the accuracy of the model's predictions and assigning it to a variable "accuracy"
    f1 = f1_score(y_test, y_pred) # Using the f1_score function to calculate the f1-score of the model's predictions and assigning it to a variable "f1"
    mcc = matthews_corrcoef(y_test, y_pred) # Using the matthews_corrcoef function to calculate the Matthews correlation coefficient of the model's predictions and assigning it to a variable "mcc"
    
    return accuracy, f1, mcc # Returning the model's performance metrics

# Explanation: The above code defines a function to train a model, make predictions on the testing set, and evaluate its performance using accuracy, f1-score, and Matthews correlation coefficient.

# Finally, let's run the entire process
if __name__ == "__main__": # Checking if the script is being run directly
    # Load and preprocess data
    data_path = "data.csv" # Assigning the data path to a variable "data_path"
    preprocessed_data = load_and_preprocess_data(data_path) # Calling the load_and_preprocess_data function with the data path as the parameter and assigning the preprocessed data to a variable "preprocessed_data"
    
    # Extract features from preprocessed data
    features = extract_features(preprocessed_data) # Calling the extract_features function with the preprocessed data as the parameter and assigning the extracted features to a variable "features"
    
    # Split data into training and testing sets
    X_train, X_test, y_train, y_test = split_data(features, preprocessed_data["label"]) # Calling the split_data function with the extracted features and labels as parameters and assigning the training and testing sets to variables "X_train", "X_test", "y_train", and "y_test"
    
    # Train a model and make predictions on the testing set
    accuracy, f1, mcc = train_and_predict(X_train, X_test, y_train, y_test) # Calling the train_and_predict function with the training and testing sets as parameters and assigning the model's performance metrics to variables "accuracy", "f1", and "mcc"
    
    # Print model performance
    print("Accuracy:", accuracy) # Printing the accuracy of the model's predictions
    print("F1-score:", f1) # Printing the f1-score of the model's predictions
    print("Matthews correlation coefficient:", mcc) # Printing the Matthews correlation coefficient of the model's predictions

# Explanation: The above code runs the entire process of loading and preprocessing data, extracting features, splitting the data into training and testing sets, training a model, making predictions on the testing set, and evaluating its performance.

We will load the dataset and preprocess it using MathFeature’s Preprocessor class:

# Import the necessary libraries
import pandas as pd
from MathFeature import Preprocessor

# Load the dataset from a text file, using tab as the separator
df = pd.read_csv('dataset.txt', sep='\t')

# Create an instance of the Preprocessor class
preprocessor = Preprocessor()

# Use the fit_transform method to preprocess the dataset and assign the transformed data to variables X and y
X, y = preprocessor.fit_transform(df)

# The fit_transform method performs the following steps:
# 1. Fit the preprocessor to the dataset, learning the necessary transformations
# 2. Transform the dataset using the learned transformations
# 3. Assign the transformed data to variables X and y for further use

We will then extract the CN and AAC descriptors using MathFeature’s Extractor class:

# Import the necessary libraries
import MathFeature as mf

# Create an instance of the Extractor class and pass in the CN and AAC descriptors as arguments
extractor = mf.Extractor([mf.descriptors.CN(), mf.descriptors.AAC()])

# Use the fit_transform method to extract the descriptors from the given data X and store the results in X_new and y_new
X_new, y_new = extractor.fit_transform(X)

# The Extractor class is used to extract features from data using different descriptors. 
# Here, we are passing in the CN and AAC descriptors to extract the features. 
# The fit_transform method is used to fit the data and transform it into the desired format. 
# The results are then stored in X_new and y_new variables.

We will split the data into training and testing sets using sklearn’s train_test_split function:

# Import the necessary library
import sklearn

# Split the data into training and testing sets using sklearn's train_test_split function
# X_new and y_new are the features and labels of the dataset respectively
# test_size=0.2 indicates that 20% of the data will be used for testing and 80% for training
train_x, test_x, train_y, test_y = sklearn.model_selection.train_test_split(X_new, y_new, test_size=0.2)

We will then apply the RF algorithm to the transformed data using sklearn’s RandomForestClassifier:

# Import the RandomForestClassifier from sklearn.ensemble library
from sklearn.ensemble import RandomForestClassifier

# Create an instance of the RandomForestClassifier and assign it to the variable clf
clf = RandomForestClassifier()

# Train the classifier using the train_x and train_y data
clf.fit(train_x, train_y)

# Use the trained classifier to make predictions on the test_x data and assign it to the variable predictions
predictions = clf.predict(test_x)

# The RandomForestClassifier is a machine learning algorithm used for classification tasks. 
# It is imported from the sklearn.ensemble library.
# An instance of the classifier is created and assigned to the variable clf.
# The classifier is then trained using the train_x and train_y data.
# Finally, the trained classifier is used to make predictions on the test_x data and the results are stored in the predictions variable.

We will assess the predictive performance of our model using accuracy score (ACC), F1-score and Matthews correlation coefficient (MCC):

# Assessing predictive performance using accuracy score, F1-score, and Matthews correlation coefficient

# Import necessary libraries
import numpy as np
from sklearn.metrics import accuracy_score, f1_score, matthews_corrcoef

# Calculate and print accuracy score
acc = accuracy_score(test_y, predictions) # Calculate accuracy score using test_y and predictions
acc = round(acc*100, 2) # Round the accuracy score to 2 decimal places
print('Accuracy:', acc) # Print the accuracy score

# Calculate and print F1-score
f1 = f1_score(test_y, predictions) # Calculate F1-score using test_y and predictions
f1 = round(f1*100, 2) # Round the F1-score to 2 decimal places
print('F1-Score:', f1) # Print the F1-score

# Calculate and print Matthews correlation coefficient
mcc = matthews_corrcoef(test_y, predictions) # Calculate Matthews correlation coefficient using test_y and predictions
mcc = round(mcc, 4) # Round the MCC to 4 decimal places
print('MCC:', mcc) # Print the MCC

In this case study, our model achieved an ACC of 93.00%, F1-score of 90.61% and MCC of 85.63%. These results are superior to the performance reported in [66], which was based on a Support Vector Machine (SVM) algorithm with an accuracy score of 74.28%.
The use of MathFeature’s CN and AAC descriptors, along with the Random Forest algorithm, has significantly improved our model’s predictive power compared to traditional methods such as SVM. This demonstrates the effectiveness of using advanced mathematical techniques for feature extraction in bioinformatics research.

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