In the context of sepsis prediction, data imbalance means that the occurrence of sepsis cases is significantly lower than non-sepsis cases as indicated above. This is because sepsis is a relatively rare condition compared to the overall population.

To address the data imbalance, we will be using the following techniques:

- Resampling: This involves oversampling the minority class or undersampling the majority class to balance the dataset.
- Using evaluation metrics that account for imbalanced data: These metrics, such as F1 score or area under the precision-recall curve, are more sensitive to the minority class than accuracy.

By assessing the class distribution within the dataset and using appropriate techniques to address imbalance, we can improve the performance of machine learning models on imbalanced data.

**Drop Duplicates:**

Removing duplicate records from the dataset is important to ensure the integrity and quality of the data. Duplicate records can introduce bias and inaccuracies in the analysis, leading to misleading results.

To identify and drop duplicates, we can use the `duplicated()`

method in pandas. This method returns a boolean series indicating whether each row is a duplicate or not. We can then use this series to filter the dataset and drop the duplicate records using the `drop_duplicates()`

method. By doing so, we ensure that each observation in the dataset is unique, eliminating any redundancy and improving the reliability of our analysis.

`def check_duplicate_rows(data):`

duplicate_rows = data.duplicated()

num_duplicates = duplicate_rows.sum()

print("Number of duplicate rows:", num_duplicates)# Check duplicate rows in train data

check_duplicate_rows(train)

# Check duplicate rows in test data

check_duplicate_rows(test)

`Number of duplicate rows: 0`

Number of duplicate rows: 0

## Check Missing Values:

Handling missing values in the dataset is also crucial as they can affect the accuracy and reliability of the analysis. Missing values can lead to biased results and hinder the performance of machine learning models.

To identify and assess missing values in my sepsis dataset, we use the `isna().sum()`

method in pandas.

`def check_missing_values(data):`

missing_values = data.isna().sum()

print("Missing values:\n", missing_values)# Check missing values in train data

check_missing_values(train)

# Check missing values in test data

check_missing_values(test)

`Missing values:`

ID 0

PRG 0

PL 0

PR 0

SK 0

TS 0

M11 0

BD2 0

Age 0

Insurance 0

Sepssis 0

dtype: int64Missing values:

ID 0

PRG 0

PL 0

PR 0

SK 0

TS 0

M11 0

BD2 0

Age 0

Insurance 0

dtype: int64

This method returns the count of missing values for each column in the dataset. By examining the missing value counts, we can determine which columns have missing values and the extent of the ‘missingness’. This information helps us decide on appropriate strategies for handling missing values, such as imputation or deletion, to ensure the integrity of the data for further analysis.

## Feature Encoding

In machine learning models, categorical features need to be encoded into numerical values as most algorithms work with numerical data. Label encoding is one of the techniques used to encode categorical features.

Label encoding converts target categorical values into numerical labels, where each unique category is assigned a unique integer value. This allows the machine learning model to understand the ordinal relationship between different categories. In the instance of sepsis data, we have categories like “positive,” and “negative,” label encoding may assign them the numerical labels 0 and 1 respectively.

`def encode_target_variable(data, target_variable):`

# Encode the target variable using LabelEncoder

label_encoder = LabelEncoder()

encoded_target = label_encoder.fit_transform(data[target_variable])

target_encoded = pd.DataFrame(encoded_target, columns=[target_variable])# Combine the features and the encoded target variable

data_encoded = pd.concat([data.iloc[:, :-1], target_encoded], axis=1)

data_encoded.drop('ID', axis=1, inplace=True)

return data_encoded

# Encode target variable in train data

train_encoded = encode_target_variable(train, 'Sepssis')

The code snippet provided demonstrates the use of LabelEncoder from scikit-learn to encode the target variable. It converts the target variable into encoded labels and creates a new DataFrame with the encoded target variable. Finally, the encoded target variable is combined with the original features, excluding the ‘ID’ column, to create the encoded dataset. Label encoding is a simple and effective way to handle categorical features in machine learning models.

## Data Splitting

The process of splitting the dataset into training and testing subsets involves dividing the data into two separate sets to evaluate the performance of a machine learning model.

`def split_data(X, y, test_size, random_state=42, stratify=None):`

# Split the data into train and validation sets

X_train, X_eval, y_train, y_eval = train_test_split(X, y, test_size=test_size, random_state=random_state, stratify=stratify)return X_train, X_eval, y_train, y_eval

# Split the data into train and validation sets for both X and y

X_train, X_eval, y_train, y_eval = split_data(train_encoded.iloc[:, :-1], train_encoded.iloc[:, -1:], test_size=0.2, random_state=42, stratify=train_encoded.iloc[:, -1:])

In the provided code snippet, the `split_data`

function takes in the features (`X`

) and the target variable (`y`

), along with the desired test size, random state, and optional stratification parameter. It utilizes the `train_test_split`

function from scikit-learn to split the data into training and validation sets.

The split is performed with consideration for maintaining the class distribution in the split, indicated by the `stratify`

parameter. This ensures that the proportion of different classes remains balanced in both the training and validation subsets.

By splitting the data, we can train the model on the training set and assess its performance on the unseen validation set. This helps in estimating how well the model will generalize to new, unseen data.

## Imputing Missing Values:

Imputing missing values is an important step in data preprocessing to handle incomplete data. In the provided code snippet, the `SimpleImputer`

class from scikit-learn is used for imputation.

`# Creating imputer variables`

numerical_imputer = SimpleImputer(strategy = "mean")numerical_imputer.fit(X_train)

X_train_imputed = numerical_imputer.transform(X_train)

X_eval_imputed = numerical_imputer.transform(X_eval)

X_test_imputed = numerical_imputer.transform(test)

The selected imputation technique is `mean`

strategy, indicated by `strategy="mean"`

. This strategy replaces missing values with the mean value of the respective feature/column.

The `fit`

method of the `SimpleImputer`

is called on the training set (`X_train`

) to calculate the mean value of each feature. This step allows the imputer to learn the mean values for each feature.

Then, the `transform`

method is used to replace the missing values in the training set (`X_train_imputed`

), validation set (`X_eval_imputed`

), and test set (`X_test_imputed`

) with the learned mean values.

The rationale behind using the mean strategy is that it provides a simple and effective approach for imputing missing numerical values. By using the mean value of a feature, we can preserve the overall distribution and central tendency of the data. Imputing missing values ensures that the data is complete and ready for further analysis or model training, as many machine learning algorithms cannot handle missing values in the input data.

## Feature Scaling

Feature scaling is an essential step in preparing data for machine learning models. It involves transforming the numerical features to a common scale, ensuring that no particular feature dominates the learning process due to its larger values. In the code snippet below, the `StandardScaler`

from scikit-learn is used for feature scaling.

`scaler = StandardScaler()`

scaler.fit(X_train_imputed)columns = ['PRG','PL','PR','SK','TS','M11','BD2','Age','Insurance']

def scale_data(data, scaler, columns):

scaled_data = scaler.transform(data)

scaled_df = pd.DataFrame(scaled_data, columns=columns)

return scaled_df

# Scale the data

X_train_df = scale_data(X_train_imputed, scaler, columns)

X_eval_df = scale_data(X_eval_imputed, scaler, columns)

X_test = scale_data(X_test_imputed, scaler, columns)

The `StandardScaler`

scales the features by subtracting the mean and dividing by the standard deviation, resulting in a distribution with a mean of 0 and a standard deviation of 1.

The `fit`

method of the `StandardScaler`

is called on the training set (`X_train_imputed`

) to calculate the mean and standard deviation for each feature. This step allows the scaler to learn the scaling parameters.

Then, the `transform`

method is used to scale the features in the training set (`X_train_df`

), validation set (`X_eval_df`

), and test set (`X_test`

) based on the learned parameters.

By scaling the data, we ensure that all features contribute equally to the learning process. This is particularly important for algorithms that rely on distance calculations or gradient-based optimization, such as k-nearest neighbors, support vector machines, and neural networks.

In the provided code, the specified columns (`['PRG', 'PL', 'PR', 'SK', 'TS', 'M11', 'BD2', 'Age', 'Insurance']`

) are scaled using the `StandardScaler`

. The resulting scaled data is returned as a DataFrame with the same column names.

In this project, several classification models were evaluated: Decision Tree, Logistic Regression, Naive Bayes, Support Vector Machines (SVM), and Random Forest. The selection criteria for evaluating these models were based on their F1 score and Area Under the Curve (AUC) score. The general process for implementing classification models can be summarized as follows:

*Instantiate the classifier*: Create an instance of the desired classification algorithm, such as Logistic Regression, Decision Tree, Naive Bayes, SVM, or Random Forest.*Fit the model*: Train the classifier on the training data by calling the`fit`

method and providing the feature matrix (`X_train`

) and the corresponding target variable (`y_train`

).*Make predictions*: Use the trained model to make predictions on the evaluation or test data by calling the`predict`

method and passing the feature matrix (`X_eval`

or`X_test`

).*Evaluate performance*: Assess the performance of the model using appropriate evaluation metrics. For classification tasks, common metrics include F1 score, accuracy, precision, recall, and AUC score. These metrics can be calculated using functions such as`f1_score`

,`accuracy_score`

,`precision_score`

,`recall_score`

, and`roc_auc_score`

from the scikit-learn library.*Optionally, analyze the model’s predictions*: You can further analyze the model’s predictions by examining metrics like the ROC curve, confusion matrix, or feature importance, depending on the specific requirements of your project.

By following this general process, you can implement and evaluate different classification algorithms, comparing their performance based on the chosen evaluation metrics.

## Logistic Regression

`# Call the function and get the outputs`

lr_model, lr_preds, lr_f1_score, fpr, tpr, thresholds, lr_auc_score = logistic_regression_model(X_train_df, y_train, X_eval_df, y_eval)print("F1 Score:", lr_f1_score)

print("AUC Score:", lr_auc_score)

`F1 Score on Training Set: 0.6486486486486487`

F1 Score on Evaluation Set: 0.6265060240963854

*Checking for overfitting*

`# Calculate F1 scores for training and evaluation sets`

lr_train_f1_score = calculate_f1_score(lr_model, X_train_df, y_train)

lr_eval_f1_score = calculate_f1_score(lr_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set:", lr_train_f1_score)

print("F1 Score on Evaluation Set:", lr_eval_f1_score)

`F1 Score on Training Set: 0.6486486486486487`

F1 Score on Evaluation Set: 0.6265060240963854

Overall, the F1 scores indicate that the logistic regression model is performing reasonably well on both the training and evaluation sets.

## Decision Tree Model

`# Call the function with your train and evaluation data`

dt_model, dt_pred, dt_f1_score, dt_auc_score = evaluate_decision_tree(X_train_df, y_train, X_eval_df, y_eval)print("F1 Score:", dt_f1_score)

print("AUC Score:", dt_auc_score)

`F1 Score: 0.6024096385542169`

AUC Score: 0.6950549450549451

*Checking for overfitting*

`# Calculate F1 scores for training and evaluation sets`

dt_train_f1_score = calculate_f1_score(dt_model, X_train_df, y_train)

dt_eval_f1_score = calculate_f1_score(dt_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set:", dt_train_f1_score)

print("F1 Score on Evaluation Set:", dt_eval_f1_score)

`F1 Score on Training Set: 1.0`

F1 Score on Evaluation Set: 0.6024096385542169

Based on these results, it appears that the model is overfitting the training data, resulting in poor generalization to the evaluation set.

## Random Forest Model

`rf_model, rf_preds, rf_f1_score, fpr, tpr, thresholds, rf_auc_score = random_forest_model(X_train, y_train, X_eval, y_eval)`print("F1 Score:", rf_f1_score)

print("AUC Score:", rf_auc_score)

`F1 Score: 0.5783132530120483`

AUC Score: 0.6767399267399268

*Checking for overfitting*

`# Calculate F1 scores for training and evaluation sets`

rf_train_f1_score = calculate_f1_score(rf_model, X_train_df, y_train)

rf_eval_f1_score = calculate_f1_score(rf_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set based on Random Forest:", rf_train_f1_score)

print("F1 Score on Evaluation Set based on Random Forest:", rf_eval_f1_score)

`F1 Score on Training Set based on Random Forest: 0.0`

F1 Score on Evaluation Set based on Random Forest: 0.0

**XGBoost Classifier**

`xgb_model, xgb_preds, xgb_f1_score, fpr, tpr, thresholds, xgb_auc_score = xgboost_model(X_train_df, y_train, X_eval_df, y_eval)`# Print the F1 score and AUC score

print("F1 Score on Evaluation Set based on XGBoost:", xgb_f1_score)

print("AUC Score on Evaluation Set based on XGBoost:", xgb_auc_score)

`F1 Score on Evaluation Set based on XGBoost: 0.5365853658536585`

AUC Score on Evaluation Set based on XGBoost: 0.6465201465201464

*Checking for overfitting*

`# Calculate F1 scores for training and evaluation sets`

xgb_train_f1_score = calculate_f1_score(xgb_model, X_train_df, y_train)

xgb_eval_f1_score = calculate_f1_score(xgb_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set based on XGboost:", xgb_train_f1_score)

print("F1 Score on Evaluation Set based on XGboost:", xgb_eval_f1_score)

Based on these results, it appears that the XGBoost model is overfitting the training data, resulting in poor generalization to the evaluation set.

## Naive Bayes model

`nb_model, nb_preds, nb_f1_score, fpr, tpr, thresholds, nb_auc_score = naive_bayes_model(X_train_df, y_train, X_eval_df, y_eval)`# Print the F1 score and AUC score

print("F1 Score on Evaluation Set based on Naive Bayes:", nb_f1_score)

print("AUC Score on Evaluation Set based on Naive Bayes:", nb_auc_score)

`F1 Score on Evaluation Set based on Naive Bayes: 0.574712643678161`

AUC Score on Evaluation Set based on Naive Bayes: 0.6694139194139194

*Checking for overfitting*

`# Calculate F1 scores for training and evaluation sets`

nb_train_f1_score = calculate_f1_score(nb_model, X_train_df, y_train)

nb_eval_f1_score = calculate_f1_score(nb_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set based on Naive Bayes:", nb_train_f1_score)

print("F1 Score on Evaluation Set based on Naive Bayes:", nb_eval_f1_score)

`F1 Score on Training Set based on Naive Bayes: 0.6730769230769231`

F1 Score on Evaluation Set based on Naive Bayes: 0.574712643678161

Based on the provided F1 scores, the Naive Bayes model shows some level of overfitting.

**Stochastic Gradient Descent**

`sgd_model, sgd_preds, sgd_f1_score, fpr, tpr, thresholds, sgd_auc_score = sgd_model_func(X_train_df, y_train, X_eval_df, y_eval)`# Print the F1 score and AUC score

print("F1 Score on Evaluation Set based on SGD:", sgd_f1_score)

print("AUC Score on Evaluation Set based on SGD:", sgd_auc_score)

`F1 Score on Evaluation Set based on SGD: 0.4782608695652174`

AUC Score on Evaluation Set based on SGD: 0.5824175824175823

*Checking for overfitting*

`sgd_train_f1_score = calculate_f1_score(sgd_model, X_train_df, y_train)`

sgd_eval_f1_score = calculate_f1_score(sgd_model, X_eval_df, y_eval)# Print the F1 scores

print("F1 Score on Training Set based on SGDClassifier:", sgd_train_f1_score)

print("F1 Score on Evaluation Set based on SGDClassifier:", sgd_eval_f1_score)

`F1 Score on Training Set based on SGDClassifier: 0.5485714285714285`

F1 Score on Evaluation Set based on SGDClassifier: 0.4782608695652174

Based on the provided F1 scores, the SGDClassifier model shows signs of underfitting

Based on the provided F1 scores and AUC scores, here is an analysis of the different models:

**Logistic Regression**

- F1 Score: 0.6265
- AUC Score: 0.7134

*The logistic regression model shows a relatively higher F1 score and AUC score compared to other models. It demonstrates decent performance in terms of both precision and recall, as well as a good ability to distinguish between positive and negative instances.*

**Decision Tree**

- F1 Score: 0.6024
- AUC Score: 0.6951

*The decision tree model achieves a reasonably high F1 score and AUC score. It indicates that the model captures some of the underlying patterns in the data and is effective in making predictions. However, it may not be as strong as logistic regression in terms of overall performance.*

**Random Forest**

- F1 Score: 0.5783
- AUC Score: 0.6767

*The random forest model shows a slightly lower F1 score and AUC score compared to logistic regression and decision tree. Random forest is an ensemble model that combines multiple decision trees, and its performance is influenced by the number of trees and other hyperparameters. Adjusting these parameters could potentially improve the model’s performance.*

**Naive Bayes**

- F1 Score: 0.5747
- AUC Score: 0.6694

*The Naive Bayes model achieves a moderate F1 score and AUC score. Naive Bayes is a probabilistic classifier based on Bayes’ theorem and assumes independence among features. It may not capture complex relationships as effectively as other models, but it can still provide useful predictions in certain scenarios.*

**XGBoost**

- F1 Score: 0.5366
- AUC Score: 0.6465

*The XGBoost model shows a relatively lower F1 score and AUC score compared to other models. XGBoost is a powerful gradient boosting algorithm, but its performance depends heavily on hyperparameter tuning and feature engineering. Adjusting these aspects may help improve the model’s effectiveness.*

**SGBoost**

- F1 Score: 0.4783
- AUC Score: 0.5824

*The SGBoost model exhibits the lowest F1 score and AUC score among all the models. It suggests that the model is underperforming and struggling to capture the patterns in the data. Consider revisiting the model configuration, feature selection, or exploring other algorithms to improve performance.*

Based on these results, the logistic regression model performs relatively well compared to other models.

The selection of the best model for sepsis prediction depends on various factors such as the specific goals of the prediction task, the importance of different evaluation metrics, interpretability requirements, computational efficiency, and the available resources.

Based on the provided F1 scores and AUC scores, the logistic regression model stands out as the top-performing model among the options listed. It demonstrates a relatively higher F1 score (0.6265) and AUC score (0.7134) compared to the other models.

The F1 score is a combined measure of precision and recall, which indicates the balance between correctly identifying positive instances (sepsis cases) and minimizing false positives and false negatives. The logistic regression model achieves a decent F1 score, implying a good trade-off between precision and recall for sepsis prediction.

The AUC score measures the model’s ability to distinguish between positive and negative instances. With an AUC score of 0.7134, the logistic regression model shows a relatively good discriminative ability in identifying sepsis cases.

Furthermore, logistic regression is a well-established and interpretable model that provides insights into the importance of features and the direction of their influence on predictions. This interpretability can be valuable in the medical domain, where understanding the underlying factors contributing to sepsis can aid in decision-making and patient care.

Considering the overall performance, interpretability, and the importance of balancing precision and recall in sepsis prediction, the logistic regression model appears to be the most suitable choice based on the provided evaluation metrics.

The process of predicting sepsis occurrence using machine learning classification models involved several key steps to achieve accurate predictions. These steps include data preprocessing, model evaluation, and hyperparameter tuning.

Data preprocessing played a crucial role in preparing the dataset for analysis. This involved handling missing values, addressing outliers, and transforming variables as necessary. Preprocessing techniques such as feature scaling and one-hot encoding were applied to ensure that the data was in a suitable format for the machine learning models.

Model evaluation was an essential step in assessing the performance of the different classification models. Evaluation metrics such as F1 score and AUC score were used to measure the models’ precision, recall, and discriminative ability. By comparing the performance of various models, we gained insights into their strengths and weaknesses in predicting sepsis occurrence.

Hyperparameter tuning was another important aspect of the process. It involved adjusting the settings of the machine learning algorithms to optimize their performance. By fine-tuning hyperparameters, we aimed to find the best configuration for each model, maximizing their predictive power for sepsis detection.

Overall, machine learning models demonstrated great potential in aiding healthcare professionals in sepsis detection and intervention. Accurate prediction of sepsis occurrence can help healthcare providers identify patients at risk in a timely manner, enabling early intervention and potentially saving lives. By leveraging machine learning techniques, healthcare professionals can benefit from advanced data analysis capabilities, allowing for more accurate and efficient sepsis detection and treatment.

Check out my github for more information.

Read the previous article here:

Uncovering Sepsis Occurrence Secrets through Exploratory Data Analysis | by Alidu Abubakari | Jun, 2023 | Medium.

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