LDA_Classification

This repository focuses on implementing Linear Discriminant Analysis (LDA) as a classifier on embedded scikit-learn datasets. The goal is to improve the model's performance on these datasets.

Dataset Overview

This repository utilizes two small embedded scikit-learn datasets: load_wine and load_digits.

• load_wine: A small dataset containing 178 data points with 13 features serving as predictors and three target classes.
• load_digits: A larger dataset with 1,797 data points, each having 64 features and 10 target classes.

Operations

On the load_wine Dataset:

1. Fitted the LDA model on the load_wine dataset.
2. Extracted the explained_variance_ratio_ to analyze the contribution of each LDA component.
3. Evaluated the model by calculating the accuracy using accuracy_score.
4. Conducted a visual analysis using a scatter plot of the LDA components.

On the load_digits Dataset:

1. Fitted the LDA model on the load_digits dataset.
2. Extracted the explained_variance_ratio_ to understand the significance of each LDA component.
3. Evaluated the model's accuracy using accuracy_score.
4. Conducted a visual analysis using scatter plots of the LDA components.
5. Standardized the data using StandardScaler.
6. Re-fitted the LDA model on the standardized data to assess the impact of standardization.
7. Recalculated the accuracy using accuracy_score.
8. Made additional visual observations based on the standardized data.
9. Implemented a pipeline to streamline data standardization and feature selection before fitting the LDA model.
10. Used cross-validation to evaluate the models' performance.
11. Calculated accuracy scores for the pipelined data.
12. Made further visual observations.

Results

The load_wine dataset is relatively small, allowing the LDA model to achieve perfect classification, with an accuracy score of 1.0. This indicates that the data was perfectly separated into three groups, as demonstrated in the scatter plot of LDA Component 0 against LDA Component 1.

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The load-digits dataset contains 1797 datapoints, 64 predictors and 10 target classes. Below table shows the result of implementing LDA on load_digits dataset:

Step	Description	Accuracy Score
LDA model fitted on load_digits dataset	Initial model without any preprocessing	0.9638
Data standardized with StandardScaler()	Data was standardized before fitting the LDA model	0.9638
Pipeline: Standardization and feature selection	Standardization and PCA applied before LDA through pipeline	0.9638

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Conclusion

The **load_digits** dataset in scikit-learn is a well-known dataset used for classification tasks. The similarity in accuracy scores across the different methods (direct LDA, LDA after standardization, and LDA in a pipeline) suggests that the features are already quite effective for classification and that the transformations are not significantly altering the feature space in a way that impacts classification performance.