K-Nearest Neighbors Algorithm
Concepts of K-Nearest NeighborsK-Nearest Neighbors (KNN) is a non-parametric classification algorithm that works on the principle of identifying the K number of nearest neighbours of a data point in the training set and predicting its class based on the majority class of its K nearest neighbours. The value of K is a hyperparameter that needs to be optimized based on the dataset.
Here is an example of how KNN works: Suppose we have a dataset of different fruits categorized into apples, oranges, and bananas based on their weight and size. We want to classify a new fruit based on its weight and size. We choose a value of K, say K=3. We calculate the Euclidean distance between the new fruit and all the existing fruits in the dataset. We select the 3 nearest neighbours and count the number of apples, oranges, and bananas among the 3 neighbours. The class with the highest count is assigned to the new fruit.
K-Nearest Neighbors Algorithm
- Define the problem and collect data.
- Choose a hypothesis class (e.g., k-nearest neighbours).
- Split the data into training and validation sets.
- For each new data point, find the k nearest neighbours in the training set based on some distance metric.
- Predict the class of the new data point based on the majority class of its k nearest neighbours.
- Evaluate the model on the validation set to estimate its performance.
- Apply the model to new data to make predictions.
python code
from sklearn.neighbors import KNeighborsClassifier
from sklearn.model_selection import train_test_split
from sklearn.datasets import load_iris
# Load the iris dataset
iris = load_iris()
# Split the data into training and testing sets
X_train, X_test, y_train, y_test = train_test_split(iris.data, iris.target, test_size=0.2)
# Create KNN classifier
knn = KNeighborsClassifier(n_neighbors=3)
# Train the classifier on the training data
knn.fit(X_train, y_train)
# Test the classifier on the testing data
accuracy = knn.score(X_test, y_test)
print("Accuracy: ", accuracy)
KNN Algorithm Benefits, Advantages and Disadvantages
Benefits of the KNN Algorithm:
- Simple to understand and implement.
- Can work well with both binary and multi-class classification problems.
- approach to classification and regression problems.
- Can handle noisy data and outliers effectively.
Advantages of the KNN Algorithm:
- The algorithm doesn't make any assumptions about the distribution of data.
- It can handle high-dimensional data effectively.
- It can work well with small datasets.
- The algorithm is non-parametric and doesn't require any training.
Disadvantages of the KNN Algorithm:
- For large datasets, the approach may be computationally expensive.
- The choice of K can have a significant impact on the performance of the algorithm.
- The algorithm can be sensitive to the scaling of the data.
- The algorithm can be affected by the presence of irrelevant features.
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