K-Nearest Neighbors Implementation from Scratch Quiz

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17 Questions

In the K-Nearest Neighbor algorithm, what does the value of K represent?

The number of nearest neighbors considered for classification

What is the main advantage of using a larger value of K in K-Nearest Neighbor?

It reduces the impact of noise and outliers in the training data

What is the primary advantage of the distance-weighted nearest neighbor approach over the standard K-Nearest Neighbor algorithm?

It gives more weight to closer neighbors, potentially improving accuracy

Which of the following statements is true about the K-Nearest Neighbor algorithm?

It is a lazy learning algorithm that does not require explicit training

When might the K-Nearest Neighbor algorithm be a good choice for a machine learning task?

When the target function is highly complex but can be approximated by local simple approximations

What is a potential disadvantage of the K-Nearest Neighbor algorithm?

It requires a large amount of memory to store the training instances

What is the most basic instance-based model described in the text?

K-Nearest Neighbours (KNN)

In the 2-D example given, how many attributes are used to describe each instance?

2

What is the formula used to calculate the Euclidean distance between two instances $x_i$ and $x_j$ with $n$ attributes?

$d(x_i, x_j) = \sqrt{\sum_{r=1}^n (a_r(x_i) - a_r(x_j))^2}$

What is the purpose of standardizing/normalizing the features when calculating Euclidean distance?

To ensure the distance metric is scale-invariant

How does the K-Nearest Neighbour algorithm handle discrete (nominal) features?

Both (b) and (c)

What is the key step in the K-Nearest Neighbour classification algorithm?

Returning the class with the most neighbors as the prediction

What is the main purpose of the K-Nearest Neighbor (K-NN) algorithm?

To find the class with the most votes among the k closest data points

What is the key difference between K-NN for discrete-valued and continuous-valued target functions?

K-NN works well for discrete-valued target functions, but the idea needs to be extended for continuous-valued target functions

What is the first step in the K-NN algorithm for a given query point $x_q$?

Compute the distance between $x_q$ and all the data points

What is the formula used to determine the class of the query point $x_q$ in the K-NN algorithm?

$F(x_q) = \operatorname{mode}(F(x_1), F(x_2), ..., F(x_k))

What is the purpose of the distance-weighted nearest neighbor approach in K-NN?

To assign more weight to the closer neighbors when determining the class of the query point

Test your knowledge on implementing K-Nearest Neighbors algorithm from scratch. This quiz covers topics such as reading datasets, computing similarity, finding neighbors, calculating argmax, and using Scikit-learn for accuracy computation.

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